0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.03/0.23 % Computer : n146.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 06:15:10 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.29 %----Proving without arithmetic mode 0.03/0.29 ------- cvc4-fof casc j9 : /export/starexec/sandbox/benchmark/theBenchmark.p at ... 0.03/0.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 20.23/26.75 --- Run --no-e-matching --full-saturate-quant at 20... 40.27/47.99 --- Run --finite-model-find --uf-ss=no-minimal at 15... 55.30/63.50 --- Run --multi-trigger-when-single --full-saturate-quant at 5... 56.74/64.98 % SZS status Theorem for theBenchmark 56.74/64.98 % SZS output start Proof for theBenchmark 56.74/64.98 (skolem (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (congruent Xb Xa Xc Xb1 Xa1 Xc1) (= Xa Xc) (not (s_e Xb Xc Xb1 Xc1)) (not (s_e Xb Xa Xb1 Xa1)) (not (congruent Xa Xb Xc Xa1 Xb1 Xc1))) ) 56.74/64.98 ( skv_1 skv_2 skv_3 skv_4 skv_5 skv_6 ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted) (Y1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (V $$unsorted) (V1 $$unsorted)) (or (not (s_e Y Z Y1 Z1)) (not (s_e Y V Y1 V1)) (not (s_t X Y Z)) (not (s_t X1 Y1 Z1)) (= X Y) (s_e Z V Z1 V1) (not (s_e X V X1 V1)) (not (s_e X Y X1 Y1))) ) 56.74/64.98 ( xa, xb, xa, xb, xq, xq, xa, xq ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (s_e X Y Y X) ) 56.74/64.98 ( xa, xq ) 56.74/64.98 ( xb, xa ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (or (= X Y) (not (s_t X Y X))) ) 56.74/64.98 ( xa, xb ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (Z2 $$unsorted) (V2 $$unsorted)) (or (not (s_e X Y Z V)) (not (s_e X Y Z2 V2)) (s_e Z V Z2 V2)) ) 56.74/64.98 ( xa, xa, xq, xq, xb, xb ) 56.74/64.98 ( xa, xa, xq, xq, xq, xq ) 56.74/64.98 ( xa, xb, xb, xq, xa, xb ) 56.74/64.98 ( xa, xb, xq, xb, xb, xq ) 56.74/64.98 ( xa, xq, xq, xa, xq, xa ) 56.74/64.98 ( xb, xa, xa, xb, xa, xb ) 56.74/64.98 ( xb, xa, xb, xq, xb, xq ) 56.74/64.98 ( skv_1, skv_1, skv_4, skv_4, skv_4, skv_4 ) 56.74/64.98 ( skv_1, skv_2, skv_4, skv_5, skv_5, skv_4 ) 56.74/64.98 ( skv_1, skv_2, skv_5, skv_4, skv_4, skv_5 ) 56.74/64.98 ( skv_1, skv_3, skv_4, skv_6, skv_4, skv_6 ) 56.74/64.98 ( skv_1, (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.98 ( skv_1, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.98 ( skv_2, skv_1, skv_4, skv_5, skv_5, skv_4 ) 56.74/64.98 ( skv_2, skv_1, skv_5, skv_4, skv_4, skv_5 ) 56.74/64.98 ( skv_2, skv_1, skv_5, skv_4, skv_5, skv_4 ) 56.74/64.98 ( skv_2, skv_2, skv_5, skv_5, skv_5, skv_5 ) 56.74/64.98 ( skv_2, skv_2, skv_5, skv_5, skv_5, skv_6 ) 56.74/64.98 ( skv_2, skv_3, skv_5, skv_6, skv_5, skv_5 ) 56.74/64.98 ( skv_2, skv_3, skv_5, skv_6, skv_5, skv_6 ) 56.74/64.98 ( skv_2, skv_3, skv_5, skv_6, skv_6, skv_5 ) 56.74/64.98 ( skv_2, skv_3, skv_6, skv_5, skv_5, skv_6 ) 56.74/64.98 ( skv_3, skv_2, skv_5, skv_6, skv_6, skv_5 ) 56.74/64.98 ( skv_3, skv_2, skv_6, skv_5, skv_5, skv_6 ) 56.74/64.98 ( skv_3, skv_3, skv_6, skv_6, skv_6, skv_6 ) 56.74/64.98 ( skv_5, skv_4, skv_2, skv_1, skv_2, skv_1 ) 56.74/64.98 ( skv_5, skv_6, skv_2, skv_3, skv_2, skv_3 ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (s_e Xa Xb Xc Xd)) (s_e Xc Xd Xa Xb)) ) 56.74/64.98 ( xa, xa, xq, xq ) 56.74/64.98 ( xa, xq, xq, xa ) 56.74/64.98 ( xb, xa, xa, xb ) 56.74/64.98 ( xb, xa, xb, xq ) 56.74/64.98 ( xb, xq, xb, xa ) 56.74/64.98 ( xq, xa, xa, xq ) 56.74/64.98 ( xq, xq, xa, xa ) 56.74/64.98 ( skv_1, skv_1, skv_4, skv_4 ) 56.74/64.98 ( skv_1, skv_2, skv_4, skv_5 ) 56.74/64.98 ( skv_1, skv_2, skv_5, skv_4 ) 56.74/64.98 ( skv_1, skv_3, skv_4, skv_6 ) 56.74/64.98 ( skv_1, (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.98 ( skv_1, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.98 ( skv_2, skv_1, skv_4, skv_5 ) 56.74/64.98 ( skv_2, skv_1, skv_5, skv_4 ) 56.74/64.98 ( skv_2, skv_2, skv_5, skv_4 ) 56.74/64.98 ( skv_2, skv_2, skv_5, skv_5 ) 56.74/64.98 ( skv_2, skv_3, skv_5, skv_6 ) 56.74/64.98 ( skv_2, skv_3, skv_6, skv_5 ) 56.74/64.98 ( skv_3, skv_2, skv_5, skv_6 ) 56.74/64.98 ( skv_3, skv_2, skv_6, skv_5 ) 56.74/64.98 ( skv_3, skv_3, skv_6, skv_6 ) 56.74/64.98 ( skv_4, skv_4, skv_1, skv_3 ) 56.74/64.98 ( skv_5, skv_5, skv_1, skv_2 ) 56.74/64.98 ( skv_5, skv_5, skv_2, skv_2 ) 56.74/64.98 ( (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xb $$unsorted)) (or (not (opposite Xa Xp Xq Xb)) (not (samesideline Xa Xb Xp Xq))) ) 56.74/64.98 ( xp, xa, xb, xp ) 56.74/64.98 ( xp, xa, xb, (reflect xa xb xp) ) 56.74/64.98 ( xq, xa, xb, (reflect xa xb xq) ) 56.74/64.98 ( (triangle xa xb xp xa xb xp), xa, xb, xp ) 56.74/64.98 ( (triangle xa xb xq xa xb xq), xa, xb, xq ) 56.74/64.98 ( (constructAngle xa xb xp xa xb xp), xa, xb, xp ) 56.74/64.98 ( (constructAngle xa xb xq xa xb xq), xa, xb, xq ) 56.74/64.98 ( (erectsameside xa xb xq xp), xa, xb, xp ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (s_e Xa Xb Xe Xf) (not (s_e Xc Xd Xe Xf)) (not (s_e Xa Xb Xc Xd))) ) 56.74/64.98 ( xa, xa, xa, xa, xq, xq ) 56.74/64.98 ( xa, xq, xa, xq, xq, xa ) 56.74/64.98 ( xb, xa, xb, xa, xb, xq ) 56.74/64.98 ( skv_1, skv_3, skv_1, skv_1, skv_4, skv_4 ) 56.74/64.98 ( skv_2, skv_2, skv_2, skv_2, skv_5, skv_5 ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xc $$unsorted) (Xd $$unsorted) (Xp $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (or (= Xc Xd) (not (s_col Xc Xd Xp)) (not (s_col Xa Xb Xp)) (samesideline Xa Xb Xc Xd) (s_col Xc Xd Xa) (not (sameside Xa Xp Xb))) ) 56.74/64.98 ( xa, xb, xa, xc, xc ) 56.74/64.98 ( xa, xb, xq, xa, xb ) 56.74/64.98 ( xa, xq, xb, xa, xb ) 56.74/64.98 ( xb, xa, xq, xa, xb ) 56.74/64.98 ( xb, xq, xa, xb, xq ) 56.74/64.98 ( xc, xd, (midpoint xp xq), xc, xd ) 56.74/64.98 ( xc, xd, (midpoint xa xb), xc, xd ) 56.74/64.98 ( xq, xa, xb, xq, xa ) 56.74/64.98 ( xq, xb, xa, xq, xb ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (s_col Xa Xb Xc)) (= Xa Xb) (s_col Xa Xc Xd) (not (s_col Xa Xb Xd))) ) 56.74/64.98 ( xa, xb, xa, xq ) 56.74/64.98 ( xa, xq, xb, xp ) 56.74/64.98 ( xb, xq, xa, xp ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xm $$unsorted)) (or (not (s_m Xa Xm Xa)) (= Xa Xm)) ) 56.74/64.98 ( xb, xa ) 56.74/64.98 ( skv_4, skv_5 ) 56.74/64.98 ( skv_6, skv_5 ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (= Xa Xb) (s_m Xa Xm Xb) (not (s_e Xm Xa Xm Xb)) (not (s_col Xa Xm Xb))) ) 56.74/64.98 ( xa, xa, xq ) 56.74/64.98 ( xa, xb, xb ) 56.74/64.98 ( xa, xb, xq ) 56.74/64.98 ( xa, xq, xb ) 56.74/64.98 ( xb, xa, xq ) 56.74/64.98 ( xb, xq, xa ) 56.74/64.98 ( xc, xc, xa ) 56.74/64.98 ( xc, xd, (midpoint xp xq) ) 56.74/64.98 ( xc, xd, (midpoint xa xb) ) 56.74/64.98 ( xq, xa, xb ) 56.74/64.98 ( xq, xb, xa ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (s_e Xp Xq (reflect Xa Xb Xp) (reflect Xa Xb Xq)) (= Xa Xb)) ) 56.74/64.98 ( xa, xb, xp, xp ) 56.74/64.98 ( xa, xb, xq, xq ) 56.74/64.98 ( xc, xd, xa, xa ) 56.74/64.98 ( xc, xd, xp, xp ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (s_col Xa Xb Xc)) (s_col Xa1 Xb1 Xc1) (not (s_e3 Xa Xb Xc Xa1 Xb1 Xc1))) ) 56.74/64.98 ( xa, xa, xq, xb, xp, xa ) 56.74/64.98 ( xa, xb, xa, xa, xb, xp ) 56.74/64.98 ( xa, xb, xb, xa, xp, xb ) 56.74/64.98 ( xa, xb, xq, beta, gamma, alpha ) 56.74/64.98 ( xa, xb, xq, xa, xb, xp ) 56.74/64.98 ( xa, xb, xq, xa, xb, (triangle xa xb xq xa xb xq) ) 56.74/64.98 ( xa, xq, xb, xb, xa, xp ) 56.74/64.98 ( xb, xa, xq, xa, xa, xq ) 56.74/64.98 ( xb, xq, xa, alpha, beta, gamma ) 56.74/64.98 ( xc, xc, xa, xc, xd, xb ) 56.74/64.98 ( xc, xd, (midpoint xp xq), xc, xd, xq ) 56.74/64.98 ( xc, xd, (midpoint xa xb), xc, xd, xa ) 56.74/64.98 ( xq, xa, xb, gamma, alpha, beta ) 56.74/64.98 ( xq, xb, xa, xc, xd, xp ) 56.74/64.98 ( skv_2, skv_2, skv_1, skv_5, skv_5, skv_4 ) 56.74/64.98 ( skv_2, skv_2, skv_3, skv_5, skv_5, skv_6 ) 56.74/64.98 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, (ext skv_2 skv_3 skv_5 skv_6), (ext skv_5 skv_4 skv_2 skv_1), skv_5, (ext skv_5 skv_6 skv_2 skv_3) ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_col Xa Xb Xc)) (not (s_t Xa Xb Xc)) (le Xa Xb Xa Xc)) ) 56.74/64.98 ( xa, xa, xq ) 56.74/64.98 ( xa, xb, xb ) 56.74/64.98 ( xa, xb, xq ) 56.74/64.98 ( xa, xq, xb ) 56.74/64.98 ( xb, xa, xq ) 56.74/64.98 ( xp, (erectAux21a xa xb xp), (erect21a xa xb xp) ) 56.74/64.98 ( xc, xc, xa ) 56.74/64.98 ( xc, xd, (midpoint xp xq) ) 56.74/64.98 ( xc, xd, (midpoint xa xb) ) 56.74/64.98 ( xq, xb, xa ) 56.74/64.98 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.74/64.98 ( skv_2, skv_1, skv_1 ) 56.74/64.98 ( skv_2, skv_2, skv_1 ) 56.74/64.98 ( skv_2, skv_2, skv_3 ) 56.74/64.98 ( skv_2, skv_3, skv_3 ) 56.74/64.98 ( skv_5, skv_5, skv_4 ) 56.74/64.98 ( skv_5, skv_5, skv_6 ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (= Xa Xb) (not (s_t Xa Xb Xc)) (not (s_t Xa Xb Xd)) (s_t Xb Xc Xd) (s_t Xb Xd Xc)) ) 56.74/64.98 ( xa, xb, xq, xq ) 56.74/64.98 ( xp, (erectAux21a xa xb xp), (erect21a xa xb xp), (erect21a xa xb xp) ) 56.74/64.98 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq), (erect21a xa xb xq) ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (not (le Xc Xd Xe Xf)) (le Xa Xb Xe Xf) (not (le Xa Xb Xc Xd))) ) 56.74/64.98 ( beta, gamma, beta, gamma, beta, alpha ) 56.74/64.98 ( beta, gamma, beta, gamma, alpha, gamma ) 56.74/64.98 ( gamma, alpha, gamma, alpha, beta, alpha ) 56.74/64.98 ( gamma, alpha, gamma, alpha, gamma, beta ) 56.74/64.98 ( alpha, beta, alpha, beta, gamma, beta ) 56.74/64.98 ( alpha, beta, alpha, beta, alpha, gamma ) 56.74/64.98 ( skv_2, skv_1, skv_2, skv_1, skv_2, skv_1 ) 56.74/64.98 ( skv_2, skv_3, skv_2, skv_3, skv_2, skv_3 ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted)) (or (not (s_col Xp Xq Xc)) (not (s_col Xa Xb Xd)) (not (s_col Xa Xb Xe)) (s_col Xp Xq Xe) (= Xc Xd) (not (s_col Xp Xq Xd)) (not (s_col Xa Xb Xc)) (= Xp Xq) (= Xa Xb)) ) 56.74/64.98 ( xa, xb, xb, xa, xa, xb, (erectAux21a xa xb xp) ) 56.74/64.98 ( xa, xb, xb, xa, xq, xa, xa ) 56.74/64.98 ( xa, xb, xq, xa, xb, xq, xq ) 56.74/64.98 ( xb, xa, xq, xb, xa, xq, xq ) 56.74/64.98 ( xb, xq, xa, xq, xb, xa, xa ) 56.74/64.98 ( xc, xd, xc, xd, (midpoint xp xq), (midpoint xa xb), (midpoint xa xb) ) 56.74/64.98 ( xc, xd, xc, xd, (midpoint xa xb), (midpoint xp xq), (midpoint xp xq) ) 56.74/64.98 ( xq, xa, xb, xq, xa, xb, xb ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xc $$unsorted)) (or (not (perp Xa Xb Xp Xq)) (not (s_col Xa Xb Xc)) (perpAt Xa Xb Xc Xp Xq) (not (s_col Xp Xq Xc))) ) 56.74/64.98 ( xa, xb, xa, xb, xq ) 56.74/64.98 ( xa, xb, xp, (foot xa xb xp), xa ) 56.74/64.98 ( xa, xb, xq, (foot xa xb xq), xb ) 56.74/64.98 ( xa, xb, (erectsameside xa xb xq xp), xq, xq ) 56.74/64.98 ( xc, xc, xp, xq, (il xc xd xp xq) ) 56.74/64.98 ( xc, xd, xa, xa, (il xc xd xa xb) ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_col Xa Xb Xc)) (s_col Xc Xa Xb)) ) 56.74/64.98 ( xa, xa, xq ) 56.74/64.98 ( xa, xb, xa ) 56.74/64.98 ( xa, xb, xb ) 56.74/64.98 ( xa, xb, xq ) 56.74/64.98 ( xa, xq, xa ) 56.74/64.98 ( xb, xp, xa ) 56.74/64.98 ( xb, xq, xa ) 56.74/64.98 ( xc, xc, xa ) 56.74/64.98 ( xc, xd, (midpoint xp xq) ) 56.74/64.98 ( xc, xd, (midpoint xa xb) ) 56.74/64.98 ( xd, xa, xc ) 56.74/64.98 ( xd, xb, xc ) 56.74/64.98 ( xd, xp, xc ) 56.74/64.98 ( xd, xq, xc ) 56.74/64.98 ( xd, (midpoint xp xq), xc ) 56.74/64.98 ( xd, (midpoint xa xb), xc ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_col Xa Xb Xc)) (s_t Xa Xb Xc) (not (le Xb Xc Xa Xc)) (not (le Xa Xb Xa Xc))) ) 56.74/64.98 ( beta, gamma, alpha ) 56.74/64.98 ( beta, alpha, gamma ) 56.74/64.98 ( gamma, beta, alpha ) 56.74/64.98 ( gamma, alpha, beta ) 56.74/64.98 ( alpha, beta, gamma ) 56.74/64.98 ( alpha, gamma, beta ) 56.74/64.98 ( xa, xa, xq ) 56.74/64.98 ( xa, xb, xa ) 56.74/64.98 ( xa, xb, xb ) 56.74/64.98 ( xa, xb, xq ) 56.74/64.98 ( xa, xq, xb ) 56.74/64.98 ( xb, xa, xq ) 56.74/64.98 ( xb, xq, xa ) 56.74/64.98 ( xc, xc, xa ) 56.74/64.98 ( xc, xd, (midpoint xp xq) ) 56.74/64.98 ( xc, xd, (midpoint xa xb) ) 56.74/64.98 ( xq, xa, xb ) 56.74/64.98 ( xq, xb, xa ) 56.74/64.98 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.74/64.98 ( skv_2, skv_1, skv_1 ) 56.74/64.98 ( skv_2, skv_2, skv_1 ) 56.74/64.98 ( skv_2, skv_2, skv_3 ) 56.74/64.98 ( skv_2, skv_3, skv_3 ) 56.74/64.98 ( skv_5, skv_4, skv_4 ) 56.74/64.98 ( skv_5, skv_6, skv_6 ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (s_r Xa Xb Xc)) (not (s_e Xa Xb Xa1 Xb1)) (not (s_e Xb Xc Xb1 Xc1)) (s_e Xa Xc Xa1 Xc1) (not (s_r Xa1 Xb1 Xc1))) ) 56.74/64.98 ( xa, xa, xa, xq, xq, xq ) 56.74/64.98 ( xb, xa, xq, xb, xq, xa ) 56.74/64.98 ( skv_1, skv_2, skv_1, skv_5, skv_4, skv_5 ) 56.74/64.98 ( skv_2, skv_1, skv_2, skv_4, skv_5, skv_4 ) 56.74/64.98 ( skv_2, skv_1, skv_2, skv_5, skv_4, skv_5 ) 56.74/64.98 ( skv_2, skv_2, skv_2, skv_5, skv_5, skv_5 ) 56.74/64.98 ( skv_2, skv_3, skv_2, skv_5, skv_6, skv_5 ) 56.74/64.98 ( skv_2, skv_3, skv_2, skv_6, skv_5, skv_6 ) 56.74/64.98 ( skv_3, skv_2, skv_1, skv_6, skv_5, skv_4 ) 56.74/64.98 ( skv_3, skv_2, skv_3, skv_5, skv_6, skv_5 ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xp $$unsorted)) (or (not (s_col Xa Xp Xc)) (s_m Xa Xp Xc) (not (s_col Xb Xp Xd)) (not (s_e Xb Xc Xd Xa)) (not (s_e Xa Xb Xc Xd)) (= Xb Xd) (s_col Xa Xb Xc)) ) 56.74/64.98 ( xa, xa, xa, xq, xb ) 56.74/64.98 ( xa, xa, xb, xb, xb ) 56.74/64.98 ( xa, xa, xb, xb, xq ) 56.74/64.98 ( xa, xa, xq, xq, xa ) 56.74/64.98 ( xa, xa, xq, xq, xb ) 56.74/64.98 ( xb, xb, xa, xa, xq ) 56.74/64.98 ( xb, xb, xq, xq, xa ) 56.74/64.98 ( xc, xc, (midpoint xp xq), (midpoint xp xq), xd ) 56.74/64.98 ( xc, xc, (midpoint xa xb), (midpoint xa xb), xd ) 56.74/64.98 ( xq, xq, xa, xa, xb ) 56.74/64.98 ( xq, xq, xb, xb, xa ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa1 $$unsorted) (Xb $$unsorted) (Xa $$unsorted) (Xc1 $$unsorted) (Xc $$unsorted) (Xd1 $$unsorted) (Xe $$unsorted) (Xd $$unsorted) (Xf1 $$unsorted) (Xf $$unsorted)) (or (not (sameside Xa1 Xb Xa)) (not (sameside Xf1 Xe Xf)) (not (s_e3 Xa1 Xb Xc1 Xd1 Xe Xf1)) (congruent Xa Xb Xc Xd Xe Xf) (not (sameside Xd1 Xe Xd)) (not (sameside Xc1 Xb Xc))) ) 56.74/64.98 ( xa, xb, xa, xp, xq, xa, xb, xa, (triangle xa xb xp xa xb xp), (constructAngle xa xb xq xa xb xq) ) 56.74/64.98 ( skv_2, skv_1, (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_3, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_5, skv_4, (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_6, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.98 ( skv_2, skv_2, skv_1, skv_1, skv_1, skv_5, skv_5, skv_4, skv_4, skv_4 ) 56.74/64.98 ( skv_2, skv_2, skv_3, skv_3, skv_3, skv_5, skv_5, skv_6, skv_6, skv_6 ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xq $$unsorted) (Xa $$unsorted) (Xd $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_e Xa Xd Xb Xc)) (= Xd (ext Xq Xa Xb Xc)) (not (s_t Xq Xa Xd)) (= Xq Xa)) ) 56.74/64.98 ( skv_2, skv_1, skv_2, skv_5, skv_4 ) 56.74/64.98 ( skv_2, skv_3, skv_2, skv_5, skv_6 ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xq $$unsorted) (Xt $$unsorted)) (or (not (s_t Xp Xt Xq)) (not (s_col Xa Xb Xt)) (s_m Xa (midpointAux Xa Xb Xp Xq Xt) Xb) (not (perp Xa Xb Xb Xq)) (not (perp Xa Xb Xa Xp)) (not (le Xa Xp Xb Xq))) ) 56.74/64.98 ( xq, xa, xa, xq, xb ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xr $$unsorted) (Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (= Xr Xa) (not (sameside Xq Xa Xr)) (not (s_e Xa Xq Xb Xc)) (= Xp Xq) (not (s_e Xa Xp Xb Xc)) (not (sameside Xp Xa Xr)) (= Xb Xc)) ) 56.74/64.98 ( skv_1, skv_2, skv_5, skv_6, skv_3, (ext skv_2 skv_1 skv_5 skv_4) ) 56.74/64.98 ( skv_2, skv_1, skv_5, skv_4, skv_2, (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.98 ( skv_3, skv_1, skv_4, skv_6, skv_3, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.98 ( skv_3, skv_2, skv_5, skv_4, skv_1, (ext skv_2 skv_3 skv_5 skv_6) ) 56.74/64.98 ( skv_4, skv_5, skv_5, skv_6, skv_6, (ext skv_5 skv_4 skv_2 skv_1) ) 56.74/64.98 ( skv_6, skv_5, skv_5, skv_4, skv_4, (ext skv_5 skv_6 skv_2 skv_3) ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (s_t Xa Xc Xd) (not (s_t Xb Xc Xd)) (not (s_t Xa Xb Xd))) ) 56.74/64.98 ( xq, xq, (erect21a xa xb xq), (erectAux21a xa xb xq) ) 56.74/64.98 ( skv_2, skv_2, skv_1, skv_2 ) 56.74/64.98 ( skv_2, skv_2, skv_3, skv_2 ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (or (not (s_e Xa Xb Xa1 Xb1)) (le Xa1 Xb1 Xc1 Xd1) (not (s_e Xc Xd Xc1 Xd1)) (not (le Xa Xb Xc Xd))) ) 56.74/64.98 ( xa, xa, xa, xa, xq, xq, xq, xq ) 56.74/64.98 ( xa, xb, xa, xb, xa, xb, xa, xb ) 56.74/64.98 ( xa, xq, xa, xq, xq, xa, xq, xa ) 56.74/64.98 ( xb, xa, xb, xa, xa, xb, xa, xb ) 56.74/64.98 ( xb, xa, xb, xa, xb, xq, xb, xq ) 56.74/64.98 ( skv_1, skv_1, skv_1, skv_1, skv_4, skv_4, skv_4, skv_4 ) 56.74/64.98 ( skv_1, skv_2, skv_1, skv_2, skv_4, skv_5, skv_4, skv_5 ) 56.74/64.98 ( skv_1, skv_2, skv_3, skv_2, skv_5, skv_4, skv_5, skv_6 ) 56.74/64.98 ( skv_1, skv_3, skv_1, skv_3, skv_4, skv_6, skv_4, skv_6 ) 56.74/64.98 ( skv_1, (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.98 ( skv_1, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.98 ( skv_2, skv_1, skv_2, skv_1, skv_4, skv_5, skv_4, skv_5 ) 56.74/64.98 ( skv_2, skv_1, skv_2, skv_1, skv_5, skv_4, skv_5, skv_4 ) 56.74/64.98 ( skv_2, skv_1, skv_2, skv_3, skv_5, skv_4, skv_5, skv_6 ) 56.74/64.98 ( skv_2, skv_2, skv_2, skv_2, skv_5, skv_5, skv_5, skv_5 ) 56.74/64.98 ( skv_2, skv_3, skv_2, skv_1, skv_5, skv_6, skv_5, skv_4 ) 56.74/64.98 ( skv_2, skv_3, skv_2, skv_3, skv_5, skv_6, skv_5, skv_6 ) 56.74/64.98 ( skv_2, skv_3, skv_2, skv_3, skv_6, skv_5, skv_6, skv_5 ) 56.74/64.98 ( skv_3, skv_2, skv_1, skv_2, skv_5, skv_6, skv_5, skv_4 ) 56.74/64.98 ( skv_3, skv_2, skv_3, skv_2, skv_6, skv_5, skv_6, skv_5 ) 56.74/64.98 ( skv_3, skv_3, skv_3, skv_3, skv_6, skv_6, skv_6, skv_6 ) 56.74/64.98 ( skv_5, skv_4, skv_5, skv_4, skv_2, skv_1, skv_2, skv_1 ) 56.74/64.98 ( skv_5, skv_4, skv_5, skv_6, skv_5, skv_4, skv_5, skv_6 ) 56.74/64.98 ( skv_5, skv_6, skv_5, skv_4, skv_5, skv_6, skv_5, skv_4 ) 56.74/64.98 ( skv_5, skv_6, skv_5, skv_6, skv_2, skv_3, skv_2, skv_3 ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xc $$unsorted) (Xb $$unsorted)) (or (not (opposite Xa Xp Xq Xc)) (not (samesideline Xa Xb Xp Xq)) (opposite Xb Xp Xq Xc)) ) 56.74/64.98 ( xp, xa, xb, xp, xp ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_r Xa Xb Xc)) (s_r Xc Xb Xa)) ) 56.74/64.98 ( xa, xb, xb ) 56.74/64.98 ( xq, xb, xa ) 56.74/64.98 ( (g811 xa xb xa xb xq), xq, (f811 xa xb xa xb xq) ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (not (s_t Xa Xb Xd)) (not (s_t Xb Xc Xd)) (s_t Xa Xb Xc)) ) 56.74/64.98 ( skv_2, skv_2, skv_1, skv_2 ) 56.74/64.98 ( skv_2, skv_2, skv_3, skv_2 ) 56.74/64.98 ( skv_5, skv_5, skv_4, skv_5 ) 56.74/64.98 ( skv_5, skv_5, skv_6, skv_5 ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (s_col Xa Xb Xp)) (= Xa Xb) (perp Xp Xq Xc Xd) (not (perp Xa Xb Xc Xd)) (= Xp Xq) (not (s_col Xa Xb Xq))) ) 56.74/64.98 ( xa, xb, xa, xb, (erect21a xa xb xq), xa ) 56.74/64.98 ( xb, xq, xa, xb, xq, xq ) 56.74/64.98 ( xq, xb, xa, xb, xc, xd ) 56.74/64.98 ) 56.74/64.98 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (XA $$unsorted) (XB $$unsorted) (XC $$unsorted)) (or (not (s_t Xa Xb Xc)) (not (s_t XA XB XC)) (not (s_e Xa Xb XB XC)) (not (s_e Xb Xc XA XB)) (s_e Xa Xc XA XC)) ) 56.74/64.98 ( xa, xb, xq, xa, xb, xq ) 56.74/64.99 ( xp, (erectAux21a xa xb xp), (erect21a xa xb xp), xp, (erectAux21a xa xb xp), (erect21a xa xb xp) ) 56.74/64.99 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq), xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.74/64.99 ( skv_2, skv_2, skv_1, skv_2, skv_2, skv_1 ) 56.74/64.99 ( skv_2, skv_2, skv_3, skv_2, skv_2, skv_3 ) 56.74/64.99 ( skv_5, skv_5, skv_4, skv_5, skv_5, skv_6 ) 56.74/64.99 ( skv_5, skv_5, skv_6, skv_5, skv_5, skv_4 ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted)) (s_r Xa Xb Xb) ) 56.74/64.99 ( xa, xa ) 56.74/64.99 ( xa, xb ) 56.74/64.99 ( skv_2, skv_2 ) 56.74/64.99 ( skv_2, skv_3 ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted)) (or (not (s_col Xa Xb Xc)) (not (s_e Xa Xb Xa1 Xb1)) (s_e3 Xa Xb Xc Xa1 Xb1 (insert5 Xa Xb Xc Xa1 Xb1))) ) 56.74/64.99 ( xa, xa, xq, xq, xq ) 56.74/64.99 ( xa, xb, xq, xa, xb ) 56.74/64.99 ( xa, xq, xb, xq, xa ) 56.74/64.99 ( xb, xa, xq, xb, xq ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xc $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (or (s_m Xa (isomidpoint Xa Xb Xc) Xb) (not (s_e Xc Xa Xc Xb))) ) 56.74/64.99 ( xa, xb, xb ) 56.74/64.99 ( xb, xa, xq ) 56.74/64.99 ( skv_5, skv_4, skv_4 ) 56.74/64.99 ( skv_5, skv_6, skv_6 ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xb $$unsorted)) (or (not (opposite Xa Xp Xq Xb)) (opposite Xb Xp Xq Xa)) ) 56.74/64.99 ( xp, xa, xb, xp ) 56.74/64.99 ( xp, xa, xb, (reflect xa xb xp) ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (perpAt Xa Xb Xc Xp Xq)) (= Xc (il Xa Xb Xp Xq))) ) 56.74/64.99 ( xa, xb, xq, xa, xb ) 56.74/64.99 ( xc, xd, xb, xa, xb ) 56.74/64.99 ( xc, xd, xq, xp, xq ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (perp Xa Xb Xp Xq)) (perp Xa Xb Xq Xp)) ) 56.74/64.99 ( xa, xb, xa, (erect21a xa xb xq) ) 56.74/64.99 ( xa, xb, xp, (foot xa xb xp) ) 56.74/64.99 ( xa, xb, xd, xc ) 56.74/64.99 ( xa, xb, xq, (foot xa xb xq) ) 56.74/64.99 ( xa, xb, (erectsameside xa xb xq xp), xq ) 56.74/64.99 ( xa, xb, (erect21a xa xb xp), xa ) 56.74/64.99 ( xa, xb, (erect21a xa xb xq), xa ) 56.74/64.99 ( xp, xq, xd, xc ) 56.74/64.99 ( xc, xd, xa, xb ) 56.74/64.99 ( xc, xd, xb, xa ) 56.74/64.99 ( xc, xd, xp, xq ) 56.74/64.99 ( xc, xd, xq, xp ) 56.74/64.99 ( xd, xc, xb, xa ) 56.74/64.99 ( xd, xc, xq, xp ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (s_e Xb Xa Xc Xd) (not (s_e Xa Xb Xc Xd))) ) 56.74/64.99 ( xa, xa, xq, xq ) 56.74/64.99 ( xa, xb, xb, xq ) 56.74/64.99 ( xa, xq, xq, xa ) 56.74/64.99 ( xb, xa, xb, xq ) 56.74/64.99 ( xq, xa, xq, xa ) 56.74/64.99 ( skv_1, skv_3, skv_4, skv_6 ) 56.74/64.99 ( skv_1, (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.99 ( skv_1, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.99 ( skv_2, skv_1, skv_5, skv_4 ) 56.74/64.99 ( skv_2, skv_1, skv_5, skv_5 ) 56.74/64.99 ( skv_2, skv_2, skv_5, skv_5 ) 56.74/64.99 ( skv_2, skv_3, skv_5, skv_6 ) 56.74/64.99 ( skv_3, skv_1, skv_4, skv_4 ) 56.74/64.99 ( skv_4, skv_5, skv_2, skv_2 ) 56.74/64.99 ( skv_5, skv_4, skv_2, skv_1 ) 56.74/64.99 ( skv_5, skv_4, skv_5, skv_4 ) 56.74/64.99 ( skv_5, skv_6, skv_2, skv_3 ) 56.74/64.99 ( skv_5, skv_6, skv_5, skv_6 ) 56.74/64.99 ( (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (sameside Xa Xp Xb)) (not (s_t Xp Xa Xb)) (le Xp Xa Xp Xb)) ) 56.74/64.99 ( skv_1, skv_2, skv_1 ) 56.74/64.99 ( skv_2, skv_2, skv_1 ) 56.74/64.99 ( skv_2, skv_2, skv_3 ) 56.74/64.99 ( skv_3, skv_2, skv_3 ) 56.74/64.99 ( skv_5, skv_5, skv_4 ) 56.74/64.99 ( skv_5, skv_5, skv_6 ) 56.74/64.99 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, skv_1 ) 56.74/64.99 ( (ext skv_2 skv_3 skv_5 skv_6), skv_2, skv_3 ) 56.74/64.99 ( (ext skv_5 skv_4 skv_2 skv_1), skv_5, skv_4 ) 56.74/64.99 ( (ext skv_5 skv_6 skv_2 skv_3), skv_5, skv_6 ) 56.74/64.99 ( (erectAux21a xa xb xp), xp, (erect21a xa xb xp) ) 56.74/64.99 ( (erectAux21a xa xb xq), xq, (erect21a xa xb xq) ) 56.74/64.99 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_2 ) 56.74/64.99 ( (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_5 ) 56.74/64.99 ( (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_3 ) 56.74/64.99 ( (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_6 ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted) (Xa2 $$unsorted) (Xc2 $$unsorted) (Xd2 $$unsorted) (Xf2 $$unsorted)) (or (not (congruent Xa Xb Xc Xd Xe Xf)) (not (sameside Xa2 Xb Xa)) (not (sameside Xd2 Xe Xd)) (not (s_e Xb Xc2 Xe Xf2)) (s_e Xa2 Xc2 Xd2 Xf2) (not (s_e Xb Xa2 Xe Xd2)) (not (sameside Xf2 Xe Xf)) (not (sameside Xc2 Xb Xc))) ) 56.74/64.99 ( skv_1, skv_2, skv_3, skv_4, skv_5, skv_6, (ext skv_2 skv_1 skv_5 skv_4), skv_3, (ext skv_5 skv_4 skv_2 skv_1), skv_6 ) 56.74/64.99 ( skv_3, skv_2, skv_3, skv_6, skv_5, skv_6, (ext skv_2 skv_3 skv_5 skv_6), skv_1, (ext skv_5 skv_6 skv_2 skv_3), skv_4 ) 56.74/64.99 ( skv_4, skv_5, skv_6, skv_1, skv_2, skv_3, (ext skv_5 skv_4 skv_2 skv_1), skv_4, (ext skv_2 skv_1 skv_5 skv_4), skv_1 ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (s_e Xb Xc Xb1 Xc1)) (s_e Xa Xb Xa1 Xb1) (not (s_e Xa Xc Xa1 Xc1)) (not (s_t Xa1 Xb1 Xc1)) (not (s_t Xa Xb Xc))) ) 56.74/64.99 ( xa, xa, xq, xq, xq, xa ) 56.74/64.99 ( xb, xa, xa, xb, xq, xq ) 56.74/64.99 ( skv_1, skv_2, skv_1, skv_5, skv_5, skv_4 ) 56.74/64.99 ( skv_2, skv_2, skv_3, skv_5, skv_5, skv_6 ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (perpAt Xp Xq Xc Xa Xb) (not (perpAt Xa Xb Xc Xp Xq))) ) 56.74/64.99 ( xa, xa, (il xc xd xa xb), xc, xd ) 56.74/64.99 ( xa, xb, xb, xc, xd ) 56.74/64.99 ( xa, xb, xq, xa, xb ) 56.74/64.99 ( xa, xb, (il xc xd xa xb), xc, xd ) 56.74/64.99 ( xp, xq, xq, xc, xd ) 56.74/64.99 ( xp, xq, (il xc xd xp xq), xc, xc ) 56.74/64.99 ( xp, xq, (il xc xd xp xq), xc, xd ) 56.74/64.99 ( xc, xd, xb, xa, xb ) 56.74/64.99 ( xc, xd, xq, xp, xq ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted)) (s_m Xa (midpoint Xa Xb) Xb) ) 56.74/64.99 ( xa, xb ) 56.74/64.99 ( xp, xq ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (opposite Xa Xp Xq Xb)) (opposite Xa Xp Xq Xc) (not (samesideline Xb Xc Xp Xq))) ) 56.74/64.99 ( xp, xa, xb, (reflect xa xb xp), xp ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (s_r Xa Xb Xc)) (s_r Xa1 Xb1 Xc1) (not (s_e3 Xa Xb Xc Xa1 Xb1 Xc1))) ) 56.74/64.99 ( xa, xb, xb, (f811 xa xb xa xb xq), xq, (g811 xa xb xa xb xq) ) 56.74/64.99 ( xa, xb, xp, xa, xb, (triangle xa xb xp xa xb xp) ) 56.74/64.99 ( skv_2, skv_2, skv_1, skv_5, skv_5, skv_4 ) 56.74/64.99 ( skv_2, skv_2, skv_3, skv_5, skv_5, skv_6 ) 56.74/64.99 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, (ext skv_2 skv_3 skv_5 skv_6), (ext skv_5 skv_4 skv_2 skv_1), skv_5, (ext skv_5 skv_6 skv_2 skv_3) ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_t Xa Xb Xc)) (s_t Xc Xb Xa)) ) 56.74/64.99 ( beta, alpha, gamma ) 56.74/64.99 ( gamma, beta, alpha ) 56.74/64.99 ( alpha, gamma, beta ) 56.74/64.99 ( xa, xb, xq ) 56.74/64.99 ( xa, xp, xb ) 56.74/64.99 ( xa, xq, xb ) 56.74/64.99 ( xb, xa, xp ) 56.74/64.99 ( xb, xa, xq ) 56.74/64.99 ( xp, xb, xa ) 56.74/64.99 ( xp, (erectAux21a xa xb xp), (erect21a xa xb xp) ) 56.74/64.99 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.74/64.99 ( skv_1, skv_2, skv_2 ) 56.74/64.99 ( skv_2, skv_2, skv_1 ) 56.74/64.99 ( skv_2, skv_2, skv_3 ) 56.74/64.99 ( skv_3, skv_2, skv_2 ) 56.74/64.99 ( skv_5, skv_5, skv_4 ) 56.74/64.99 ( skv_5, skv_5, skv_6 ) 56.74/64.99 ( (erect21a xa xb xq), (erectAux21a xa xb xq), xq ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted)) (or (s_col Xq Xp Xr) (not (s_col Xp Xq Xr)) (= Xp Xq)) ) 56.74/64.99 ( beta, alpha, gamma ) 56.74/64.99 ( gamma, beta, alpha ) 56.74/64.99 ( alpha, gamma, beta ) 56.74/64.99 ( xa, xb, xa ) 56.74/64.99 ( xa, xb, xb ) 56.74/64.99 ( xa, xb, xq ) 56.74/64.99 ( xb, xa, xp ) 56.74/64.99 ( xb, xa, xq ) 56.74/64.99 ( xc, xd, (midpoint xp xq) ) 56.74/64.99 ( xc, xd, (midpoint xa xb) ) 56.74/64.99 ( xd, xc, xa ) 56.74/64.99 ( xd, xc, xb ) 56.74/64.99 ( xd, xc, xp ) 56.74/64.99 ( xd, xc, xq ) 56.74/64.99 ( xd, xc, (midpoint xp xq) ) 56.74/64.99 ( xd, xc, (midpoint xa xb) ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (sameside Xb Xp Xa) (not (sameside Xa Xp Xb))) ) 56.74/64.99 ( xa, xq, xb ) 56.74/64.99 ( xb, xq, xa ) 56.74/64.99 ( xp, xb, xa ) 56.74/64.99 ( xq, xb, xa ) 56.74/64.99 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, skv_1 ) 56.74/64.99 ( (ext skv_2 skv_3 skv_5 skv_6), skv_2, skv_3 ) 56.74/64.99 ( (ext skv_5 skv_4 skv_2 skv_1), skv_5, skv_4 ) 56.74/64.99 ( (ext skv_5 skv_6 skv_2 skv_3), skv_5, skv_6 ) 56.74/64.99 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_2 ) 56.74/64.99 ( (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_5 ) 56.74/64.99 ( (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_3 ) 56.74/64.99 ( (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_6 ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_col Xa Xb Xc)) (s_col Xa Xc Xb)) ) 56.74/64.99 ( beta, alpha, gamma ) 56.74/64.99 ( gamma, beta, alpha ) 56.74/64.99 ( alpha, gamma, beta ) 56.74/64.99 ( xa, xa, xq ) 56.74/64.99 ( xa, xb, xa ) 56.74/64.99 ( xa, xb, xq ) 56.74/64.99 ( xa, xp, xb ) 56.74/64.99 ( xa, xq, xa ) 56.74/64.99 ( xa, xq, xb ) 56.74/64.99 ( xc, xa, xd ) 56.74/64.99 ( xc, xb, xd ) 56.74/64.99 ( xc, xp, xd ) 56.74/64.99 ( xc, xc, xa ) 56.74/64.99 ( xc, xd, (midpoint xp xq) ) 56.74/64.99 ( xc, xd, (midpoint xa xb) ) 56.74/64.99 ( xc, xq, xd ) 56.74/64.99 ( xc, (midpoint xp xq), xd ) 56.74/64.99 ( xc, (midpoint xa xb), xd ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (not (congruent Xa Xb Xc Xd Xe Xf)) (congruent Xd Xe Xf Xa Xb Xc)) ) 56.74/64.99 ( xa, xb, xp, xa, xb, (constructAngle xa xb xp xa xb xp) ) 56.74/64.99 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.74/64.99 ( xa, xb, (constructAngle xa xb xq xa xb xq), xa, xb, xq ) 56.74/64.99 ( skv_1, skv_2, skv_1, skv_4, skv_5, skv_4 ) 56.74/64.99 ( skv_1, skv_2, skv_3, skv_4, skv_5, skv_6 ) 56.74/64.99 ( skv_3, skv_2, skv_3, skv_6, skv_5, skv_6 ) 56.74/64.99 ( skv_4, skv_5, skv_4, skv_1, skv_2, skv_1 ) 56.74/64.99 ( skv_5, skv_4, skv_6, skv_2, skv_1, skv_3 ) 56.74/64.99 ( skv_6, skv_5, skv_6, skv_3, skv_2, skv_3 ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted)) (le Xa Xb Xa Xb) ) 56.74/64.99 ( skv_2, skv_1 ) 56.74/64.99 ( skv_2, skv_3 ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (s_t Xa1 Xb1 Xc1) (not (s_e3 Xa Xb Xc Xa1 Xb1 Xc1)) (not (s_t Xa Xb Xc))) ) 56.74/64.99 ( xa, xb, xq, beta, gamma, alpha ) 56.74/64.99 ( xa, xb, xq, xa, xb, (triangle xa xb xq xa xb xq) ) 56.74/64.99 ( xp, (erectAux21a xa xb xp), (erect21a xa xb xp), xb, xp, xa ) 56.74/64.99 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq), xp, xa, xb ) 56.74/64.99 ( skv_2, skv_2, skv_1, xb, xq, xa ) 56.74/64.99 ( skv_2, skv_2, skv_3, alpha, beta, gamma ) 56.74/64.99 ( skv_5, skv_5, skv_4, xq, xa, xb ) 56.74/64.99 ( skv_5, skv_5, skv_6, gamma, alpha, beta ) 56.74/64.99 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, (ext skv_2 skv_3 skv_5 skv_6), (ext skv_5 skv_4 skv_2 skv_1), skv_5, (ext skv_5 skv_6 skv_2 skv_3) ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (s_col Xa Xb Xp)) (not (s_col Xa Xb Xq)) (not (perp Xa Xb Xp Xq))) ) 56.74/64.99 ( xa, xa, xq, xq ) 56.74/64.99 ( xa, xb, xa, xq ) 56.74/64.99 ( xa, xb, xb, xb ) 56.74/64.99 ( xa, xb, xq, xa ) 56.74/64.99 ( xa, xb, xq, xq ) 56.74/64.99 ( xa, xb, xq, (foot xa xb xq) ) 56.74/64.99 ( xa, xb, (erectsameside xa xb xq xp), xq ) 56.74/64.99 ( xa, xb, (erect21a xa xb xp), xa ) 56.74/64.99 ( xa, xb, (erect21a xa xb xq), xa ) 56.74/64.99 ( xa, xq, xb, xb ) 56.74/64.99 ( xb, xa, xq, xq ) 56.74/64.99 ( xb, xq, xa, xa ) 56.74/64.99 ( xc, xc, xa, xa ) 56.74/64.99 ( xc, xd, xa, xb ) 56.74/64.99 ( xc, xd, xp, xq ) 56.74/64.99 ( xc, xd, (midpoint xp xq), (midpoint xp xq) ) 56.74/64.99 ( xc, xd, (midpoint xa xb), (midpoint xa xb) ) 56.74/64.99 ( xq, xa, xb, xb ) 56.74/64.99 ( xq, xb, xa, xa ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (s_e Xb Xa Xb1 Xa1)) (s_e Xa Xc Xa1 Xc1) (not (s_e Xb Xc Xb1 Xc1)) (not (sameside Xa1 Xb1 Xc1)) (not (sameside Xa Xb Xc))) ) 56.74/64.99 ( xa, xa, xq, xq, xq, xa ) 56.74/64.99 ( xa, xb, xa, xq, xb, xq ) 56.74/64.99 ( xb, xa, xa, xb, xa, xq ) 56.74/64.99 ( skv_1, skv_2, skv_2, skv_5, skv_4, skv_5 ) 56.74/64.99 ( skv_1, skv_2, skv_3, skv_4, skv_5, skv_4 ) 56.74/64.99 ( skv_2, skv_2, skv_2, skv_5, skv_5, skv_5 ) 56.74/64.99 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted)) (or (not (s_r Xa Xb Xc)) (= Xa Xb) (not (s_col Xb Xa Xa1)) (s_r Xa1 Xb Xc)) ) 56.74/64.99 ( xa, xb, xb, xq ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (s_e Xb Xa Xb1 Xa1)) (not (s_e Xb Xc Xb1 Xc1)) (s_e Xa Xc Xa1 Xc1) (not (congruent Xa Xb Xc Xa1 Xb1 Xc1))) ) 56.74/64.99 ( xa, xa, xa, xq, xq, xq ) 56.74/64.99 ( xa, xb, xa, xb, xa, xb ) 56.74/64.99 ( xa, xb, xa, xq, xb, xq ) 56.74/64.99 ( xa, xb, xp, xa, xb, (constructAngle xa xb xp xa xb xp) ) 56.74/64.99 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.74/64.99 ( xb, xa, xb, xb, xa, xb ) 56.74/64.99 ( xq, xa, xq, xa, xq, xa ) 56.74/64.99 ( skv_1, skv_2, skv_1, skv_4, skv_5, skv_4 ) 56.74/64.99 ( skv_1, skv_2, skv_1, skv_5, skv_4, skv_5 ) 56.74/64.99 ( skv_1, skv_2, skv_3, skv_4, skv_5, skv_6 ) 56.74/64.99 ( skv_2, skv_1, skv_2, skv_4, skv_5, skv_4 ) 56.74/64.99 ( skv_2, skv_1, skv_2, skv_5, skv_4, skv_5 ) 56.74/64.99 ( skv_2, skv_2, skv_2, skv_5, skv_5, skv_5 ) 56.74/64.99 ( skv_2, skv_3, skv_2, skv_5, skv_6, skv_5 ) 56.74/64.99 ( skv_2, skv_3, skv_2, skv_6, skv_5, skv_6 ) 56.74/64.99 ( skv_3, skv_1, skv_1, skv_6, skv_4, skv_4 ) 56.74/64.99 ( skv_3, skv_2, skv_1, skv_6, skv_5, skv_4 ) 56.74/64.99 ( skv_3, skv_2, skv_3, skv_5, skv_6, skv_5 ) 56.74/64.99 ( skv_3, skv_2, skv_3, skv_6, skv_5, skv_6 ) 56.74/64.99 ( skv_4, skv_5, skv_4, skv_1, skv_2, skv_1 ) 56.74/64.99 ( skv_4, skv_5, skv_4, skv_4, skv_5, skv_4 ) 56.74/64.99 ( skv_4, skv_5, skv_6, skv_1, skv_2, skv_3 ) 56.74/64.99 ( skv_6, skv_5, skv_6, skv_3, skv_2, skv_3 ) 56.74/64.99 ( skv_6, skv_5, skv_6, skv_6, skv_5, skv_6 ) 56.74/64.99 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.99 ( (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_3, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_6 ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (s_t Xa Xc Xd)) (s_t Xb Xc Xd) (not (s_t Xa Xb Xc))) ) 56.74/64.99 ( xq, xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.74/64.99 ( skv_2, skv_2, skv_2, skv_1 ) 56.74/64.99 ( skv_2, skv_2, skv_2, skv_3 ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (s_col Xa Xb Xc) (not (s_col Xa Xb Xq)) (not (perp Xa Xb Xc Xp)) (not (perp Xa Xb Xc Xq)) (= Xp Xq) (not (s_col Xa Xb Xp))) ) 56.74/64.99 ( xa, xb, xp, (foot xa xb xp), xq ) 56.74/64.99 ( xa, xb, (erectsameside xa xb xq xp), xq, xa ) 56.74/64.99 ( xa, xb, (erect21a xa xb xp), xa, xb ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (le Xa Xb Xc Xd)) (not (le Xc Xd Xa Xb)) (s_e Xa Xb Xc Xd)) ) 56.74/64.99 ( beta, gamma, beta, alpha ) 56.74/64.99 ( beta, gamma, alpha, gamma ) 56.74/64.99 ( beta, alpha, beta, gamma ) 56.74/64.99 ( beta, alpha, gamma, alpha ) 56.74/64.99 ( gamma, beta, gamma, alpha ) 56.74/64.99 ( gamma, beta, alpha, beta ) 56.74/64.99 ( gamma, alpha, beta, alpha ) 56.74/64.99 ( gamma, alpha, gamma, beta ) 56.74/64.99 ( alpha, beta, gamma, beta ) 56.74/64.99 ( alpha, beta, alpha, gamma ) 56.74/64.99 ( alpha, gamma, beta, gamma ) 56.74/64.99 ( alpha, gamma, alpha, beta ) 56.74/64.99 ( xa, xa, xq, xq ) 56.74/64.99 ( xa, xb, xa, xq ) 56.74/64.99 ( xa, xq, xa, xb ) 56.74/64.99 ( xa, xq, xb, xq ) 56.74/64.99 ( xa, xq, xq, xa ) 56.74/64.99 ( xb, xa, xb, xq ) 56.74/64.99 ( xb, xq, xa, xq ) 56.74/64.99 ( skv_1, skv_2, skv_5, skv_5 ) 56.74/64.99 ( skv_1, skv_3, skv_4, skv_4 ) 56.74/64.99 ( skv_2, skv_1, skv_2, skv_1 ) 56.74/64.99 ( skv_2, skv_2, skv_5, skv_5 ) 56.74/64.99 ( skv_2, skv_3, skv_2, skv_3 ) 56.74/64.99 ( skv_5, skv_4, skv_2, skv_2 ) 56.74/64.99 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xc1 $$unsorted)) (or (= Xa Xb) (not (s_col Xa Xb Xc)) (not (s_e Xb Xc Xb Xc1)) (= Xc Xc1) (not (s_e Xa Xc Xa Xc1))) ) 56.74/64.99 ( xa, xb, xa, xq ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (samesideline Xp Xq Xa Xb)) (samesideline Xp Xq Xb Xa) (= Xa Xb)) ) 56.74/64.99 ( xa, xb, xp, xp ) 56.74/64.99 ( xa, xb, (triangle xa xb xp xa xb xp), xp ) 56.74/64.99 ( xa, xb, (triangle xa xb xq xa xb xq), xq ) 56.74/64.99 ( xa, xb, (constructAngle xa xb xp xa xb xp), xp ) 56.74/64.99 ( xa, xb, (constructAngle xa xb xq xa xb xq), xq ) 56.74/64.99 ( xa, xb, (erectsameside xa xb xq xp), xp ) 56.74/64.99 ( xb, xa, xa, xb ) 56.74/64.99 ( xb, xa, xq, xq ) 56.74/64.99 ( xb, xa, (triangle xa xb xq xa xb xq), xq ) 56.74/64.99 ( xb, xa, (constructAngle xa xb xq xa xb xq), xq ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (not (s_m Xa Xm Xb)) (s_m Xb Xm Xa)) ) 56.74/64.99 ( beta, alpha, gamma ) 56.74/64.99 ( gamma, beta, alpha ) 56.74/64.99 ( alpha, gamma, beta ) 56.74/64.99 ( xa, xb, xq ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa1 $$unsorted) (Xb1 $$unsorted)) (s_t Xa1 Xa1 Xb1) ) 56.74/64.99 ( xa, xa ) 56.74/64.99 ( xb, xa ) 56.74/64.99 ( xb, xq ) 56.74/64.99 ( xq, xa ) 56.74/64.99 ( xq, xq ) 56.74/64.99 ( skv_1, skv_1 ) 56.74/64.99 ( skv_1, skv_2 ) 56.74/64.99 ( skv_1, skv_3 ) 56.74/64.99 ( skv_2, skv_1 ) 56.74/64.99 ( skv_2, skv_3 ) 56.74/64.99 ( skv_3, skv_2 ) 56.74/64.99 ( skv_4, skv_4 ) 56.74/64.99 ( skv_4, skv_5 ) 56.74/64.99 ( skv_4, skv_6 ) 56.74/64.99 ( skv_4, (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.99 ( skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.99 ( skv_5, skv_4 ) 56.74/64.99 ( skv_5, skv_6 ) 56.74/64.99 ( skv_6, skv_5 ) 56.74/64.99 ( skv_6, skv_6 ) 56.74/64.99 ( (midpoint xp xq), xd ) 56.74/64.99 ( (midpoint xa xb), xd ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xa2 $$unsorted) (Xb2 $$unsorted) (Xc2 $$unsorted) (Xa3 $$unsorted) (Xb3 $$unsorted) (Xc3 $$unsorted)) (or (not (congruent Xa2 Xb2 Xc2 Xa3 Xb3 Xc3)) (congruent Xa1 Xb1 Xc1 Xa3 Xb3 Xc3) (not (congruent Xa1 Xb1 Xc1 Xa2 Xb2 Xc2))) ) 56.74/64.99 ( xa, xb, xq, xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.74/64.99 ( skv_1, skv_2, skv_1, skv_1, skv_2, skv_1, skv_4, skv_5, skv_4 ) 56.74/64.99 ( skv_3, skv_2, skv_3, skv_3, skv_2, skv_3, skv_6, skv_5, skv_6 ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (s_col Xc Xb Xa) (not (s_col Xa Xb Xc))) ) 56.74/64.99 ( beta, alpha, gamma ) 56.74/64.99 ( gamma, beta, alpha ) 56.74/64.99 ( alpha, gamma, beta ) 56.74/64.99 ( xa, xa, xq ) 56.74/64.99 ( xa, xb, xb ) 56.74/64.99 ( xa, xb, xq ) 56.74/64.99 ( xa, xd, xc ) 56.74/64.99 ( xb, xd, xc ) 56.74/64.99 ( xp, xb, xa ) 56.74/64.99 ( xp, xd, xc ) 56.74/64.99 ( xc, xc, xa ) 56.74/64.99 ( xc, xd, (midpoint xp xq) ) 56.74/64.99 ( xc, xd, (midpoint xa xb) ) 56.74/64.99 ( xq, xa, xa ) 56.74/64.99 ( xq, xb, xa ) 56.74/64.99 ( xq, xd, xc ) 56.74/64.99 ( (midpoint xp xq), xd, xc ) 56.74/64.99 ( (midpoint xa xb), xd, xc ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xcs $$unsorted)) (or (samesideline Xr Xcs Xp Xq) (opposite Xr Xp Xq Xcs) (s_col Xp Xq Xcs) (s_col Xp Xq Xr) (= Xp Xq)) ) 56.74/64.99 ( beta, gamma, alpha, alpha ) 56.74/64.99 ( gamma, alpha, beta, beta ) 56.74/64.99 ( alpha, beta, gamma, gamma ) 56.74/64.99 ( xa, xb, xp, xp ) 56.74/64.99 ( xa, xb, xq, xq ) 56.74/64.99 ( xa, xp, xb, xb ) 56.74/64.99 ( xb, xa, xp, xp ) 56.74/64.99 ( xb, xp, xa, xa ) 56.74/64.99 ( xp, xa, xb, xb ) 56.74/64.99 ( xp, xb, xa, xa ) 56.74/64.99 ( xc, xd, xa, xa ) 56.74/64.99 ( xc, xd, xb, xb ) 56.74/64.99 ( xc, xd, xp, xp ) 56.74/64.99 ( xc, xd, xq, xq ) 56.74/64.99 ( xc, xd, (midpoint xp xq), (midpoint xp xq) ) 56.74/64.99 ( xc, xd, (midpoint xa xb), (midpoint xa xb) ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (perp Xb Xa Xp Xq) (not (perp Xa Xb Xp Xq))) ) 56.74/64.99 ( xa, xb, xp, (foot xa xb xp) ) 56.74/64.99 ( xa, xb, xq, (foot xa xb xq) ) 56.74/64.99 ( xa, xb, (erectsameside xa xb xq xp), xq ) 56.74/64.99 ( xa, xb, (erect21a xa xb xp), xa ) 56.74/64.99 ( xa, xb, (erect21a xa xb xq), xa ) 56.74/64.99 ( xb, xa, xc, xd ) 56.74/64.99 ( xb, xa, xq, xq ) 56.74/64.99 ( xb, xa, (erect21a xa xb xq), xa ) 56.74/64.99 ( xc, xd, xa, xb ) 56.74/64.99 ( xc, xd, xp, xq ) 56.74/64.99 ( xd, xc, xa, xb ) 56.74/64.99 ( xd, xc, xb, xa ) 56.74/64.99 ( xd, xc, xp, xq ) 56.74/64.99 ( xd, xc, xq, xp ) 56.74/64.99 ( xq, xp, xc, xd ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (s_t Xa1 Xb1 Xc1)) (not (s_e Xb Xc Xb1 Xc1)) (s_e Xa Xc Xa1 Xc1) (not (s_e Xa Xb Xa1 Xb1)) (not (s_t Xa Xb Xc))) ) 56.74/64.99 ( xa, xa, xa, xq, xq, xq ) 56.74/64.99 ( xa, xa, xq, xq, xq, xa ) 56.74/64.99 ( xb, xb, xa, xb, xb, xq ) 56.74/64.99 ( skv_1, skv_1, skv_2, skv_5, skv_4, skv_5 ) 56.74/64.99 ( skv_2, skv_2, skv_2, skv_5, skv_5, skv_5 ) 56.74/64.99 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted)) (s_col Xa Xa Xb) ) 56.74/64.99 ( xa, xq ) 56.74/64.99 ( xc, xa ) 56.74/64.99 ( xc, xd ) 56.74/64.99 ( xq, (erect21a xa xb xq) ) 56.74/64.99 ( (erectAux21a xa xb xq), xq ) 56.74/64.99 ) 56.74/64.99 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_col Xa Xb Xc)) (le Xb Xc Xa Xc) (not (s_t Xa Xb Xc))) ) 56.74/64.99 ( xa, xa, xq ) 56.74/64.99 ( xa, xb, xb ) 56.74/64.99 ( xa, xb, xq ) 56.74/64.99 ( xa, xq, xb ) 56.74/64.99 ( xb, xa, xq ) 56.74/64.99 ( xp, (erectAux21a xa xb xp), (erect21a xa xb xp) ) 56.74/64.99 ( xc, xc, xa ) 56.74/64.99 ( xc, xd, (midpoint xp xq) ) 56.74/64.99 ( xc, xd, (midpoint xa xb) ) 56.74/64.99 ( xq, xb, xa ) 56.74/65.00 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.74/65.00 ( skv_2, skv_2, skv_1 ) 56.74/65.00 ( skv_2, skv_2, skv_3 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (s_e Xb Xa Xd Xc) (not (s_e Xa Xb Xc Xd))) ) 56.74/65.00 ( xa, xa, xq, xq ) 56.74/65.00 ( xa, xb, xa, xb ) 56.74/65.00 ( xa, xb, xq, xb ) 56.74/65.00 ( xa, xq, xq, xa ) 56.74/65.00 ( xb, xa, xa, xb ) 56.74/65.00 ( xb, xa, xb, xq ) 56.74/65.00 ( xq, xa, xa, xq ) 56.74/65.00 ( skv_1, skv_3, skv_4, skv_6 ) 56.74/65.00 ( skv_1, (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/65.00 ( skv_1, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/65.00 ( skv_2, skv_1, skv_5, skv_4 ) 56.74/65.00 ( skv_2, skv_1, skv_5, skv_5 ) 56.74/65.00 ( skv_2, skv_2, skv_5, skv_5 ) 56.74/65.00 ( skv_2, skv_3, skv_5, skv_6 ) 56.74/65.00 ( skv_3, skv_1, skv_4, skv_4 ) 56.74/65.00 ( skv_4, skv_5, skv_2, skv_2 ) 56.74/65.00 ( skv_5, skv_4, skv_2, skv_1 ) 56.74/65.00 ( skv_5, skv_4, skv_5, skv_4 ) 56.74/65.00 ( skv_5, skv_6, skv_2, skv_3 ) 56.74/65.00 ( skv_5, skv_6, skv_5, skv_6 ) 56.74/65.00 ( (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (s_col Xa Xb Xp)) (not (s_col Xa Xb Xq)) (= Xp Xq) (= Xa Xb) (perp Xa Xb Xc Xd) (not (perp Xp Xq Xc Xd))) ) 56.74/65.00 ( xa, xb, xa, xq, (erect21a xa xb xq), xa ) 56.74/65.00 ( xa, xb, xq, xa, xq, xq ) 56.74/65.00 ( xc, xd, (midpoint xp xq), (midpoint xa xb), xp, xq ) 56.74/65.00 ( xc, xd, (midpoint xa xb), (midpoint xp xq), xa, xb ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (le Xc Xd Xa Xb) (le Xa Xb Xc Xd)) ) 56.74/65.00 ( beta, gamma, beta, alpha ) 56.74/65.00 ( beta, gamma, alpha, gamma ) 56.74/65.00 ( beta, alpha, beta, gamma ) 56.74/65.00 ( beta, alpha, gamma, alpha ) 56.74/65.00 ( gamma, beta, gamma, alpha ) 56.74/65.00 ( gamma, beta, alpha, beta ) 56.74/65.00 ( gamma, alpha, beta, alpha ) 56.74/65.00 ( gamma, alpha, gamma, beta ) 56.74/65.00 ( alpha, beta, gamma, beta ) 56.74/65.00 ( alpha, beta, alpha, gamma ) 56.74/65.00 ( alpha, gamma, beta, gamma ) 56.74/65.00 ( alpha, gamma, alpha, beta ) 56.74/65.00 ( skv_2, skv_1, skv_2, skv_1 ) 56.74/65.00 ( skv_2, skv_3, skv_2, skv_3 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (s_e Xa Xb Xc Xd)) (s_e Xa Xb Xd Xc)) ) 56.74/65.00 ( xa, xa, xq, xq ) 56.74/65.00 ( xa, xb, xa, xb ) 56.74/65.00 ( xa, xq, xa, xq ) 56.74/65.00 ( xa, xq, xq, xa ) 56.74/65.00 ( xb, xa, xa, xb ) 56.74/65.00 ( xb, xa, xb, xq ) 56.74/65.00 ( xb, xa, xq, xb ) 56.74/65.00 ( skv_1, skv_3, skv_4, skv_6 ) 56.74/65.00 ( skv_1, (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/65.00 ( skv_1, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/65.00 ( skv_2, skv_1, skv_5, skv_4 ) 56.74/65.00 ( skv_2, skv_2, skv_5, skv_5 ) 56.74/65.00 ( skv_2, skv_3, skv_5, skv_6 ) 56.74/65.00 ( skv_5, skv_4, skv_2, skv_1 ) 56.74/65.00 ( skv_5, skv_4, skv_5, skv_4 ) 56.74/65.00 ( skv_5, skv_6, skv_2, skv_3 ) 56.74/65.00 ( skv_5, skv_6, skv_5, skv_6 ) 56.74/65.00 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (sameside Xa Xp Xb) (s_t Xa Xp Xb) (not (s_col Xa Xp Xb))) ) 56.74/65.00 ( beta, gamma, alpha ) 56.74/65.00 ( beta, alpha, gamma ) 56.74/65.00 ( gamma, beta, alpha ) 56.74/65.00 ( gamma, alpha, beta ) 56.74/65.00 ( alpha, beta, gamma ) 56.74/65.00 ( alpha, gamma, beta ) 56.74/65.00 ( xa, xa, xq ) 56.74/65.00 ( xa, xb, xa ) 56.74/65.00 ( xa, xb, xb ) 56.74/65.00 ( xa, xb, xq ) 56.74/65.00 ( xa, xq, xb ) 56.74/65.00 ( xb, xa, xq ) 56.74/65.00 ( xb, xq, xa ) 56.74/65.00 ( xc, xc, xa ) 56.74/65.00 ( xc, xd, (midpoint xp xq) ) 56.74/65.00 ( xc, xd, (midpoint xa xb) ) 56.74/65.00 ( xq, xa, xb ) 56.74/65.00 ( xq, xb, xa ) 56.74/65.00 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.74/65.00 ( skv_2, skv_2, skv_1 ) 56.74/65.00 ( skv_2, skv_2, skv_3 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (not (s_t Xa Xb Xd)) (s_t Xa Xb Xc) (s_t Xa Xc Xb) (not (s_t Xa Xc Xd))) ) 56.74/65.00 ( xa, xb, xq, xp ) 56.74/65.00 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq), (erect21a xa xb xq) ) 56.74/65.00 ( skv_2, skv_2, skv_1, skv_1 ) 56.74/65.00 ( skv_2, skv_2, skv_3, skv_3 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted)) (s_e Xa Xa Xb Xb) ) 56.74/65.00 ( xa, xq ) 56.74/65.00 ( skv_2, skv_5 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (or (samesideline Xp Xq Xb Xa) (not (samesideline Xp Xq Xa Xb))) ) 56.74/65.00 ( xa, xb, xb, xa ) 56.74/65.00 ( xp, xp, xa, xb ) 56.74/65.00 ( xq, xq, xb, xa ) 56.74/65.00 ( (triangle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.00 ( (triangle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.00 ( (triangle xa xb xq xa xb xq), xq, xb, xa ) 56.74/65.00 ( (constructAngle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.00 ( (constructAngle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.00 ( (constructAngle xa xb xq xa xb xq), xq, xb, xa ) 56.74/65.00 ( (erectsameside xa xb xq xp), xp, xa, xb ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (perp Xp Xq Xa Xb) (not (perp Xa Xb Xp Xq))) ) 56.74/65.00 ( xa, xb, xp, (foot xa xb xp) ) 56.74/65.00 ( xa, xb, xc, xd ) 56.74/65.00 ( xa, xb, xd, xc ) 56.74/65.00 ( xa, xb, xq, (foot xa xb xq) ) 56.74/65.00 ( xa, xb, (erectsameside xa xb xq xp), xq ) 56.74/65.00 ( xa, xb, (erect21a xa xb xp), xa ) 56.74/65.00 ( xa, xb, (erect21a xa xb xq), xa ) 56.74/65.00 ( xb, xa, xc, xd ) 56.74/65.00 ( xp, xq, xc, xd ) 56.74/65.00 ( xp, xq, xd, xc ) 56.74/65.00 ( xc, xd, xa, xb ) 56.74/65.00 ( xc, xd, xp, xq ) 56.74/65.00 ( xq, xp, xc, xd ) 56.74/65.00 ( xq, xq, xa, xb ) 56.74/65.00 ( (erect21a xa xb xq), xa, xa, xb ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xp $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (s_col Xa Xb Xc) (s_col Xd Xe Xp) (not (congruent Xa Xb Xc Xd Xe Xf1)) (not (samesideline Xf1 Xp Xe Xd)) (not (congruent Xa Xb Xc Xd Xe Xf2)) (not (samesideline Xf2 Xp Xe Xd)) (sameside Xf1 Xe Xf2)) ) 56.74/65.00 ( xa, xb, xp, xa, xb, xp, (constructAngle xa xb xp xa xb xp), (constructAngle xa xb xp xa xb xp) ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_col Xa Xb Xc)) (s_col Xb Xc Xa)) ) 56.74/65.00 ( xa, xa, xq ) 56.74/65.00 ( xa, xb, xa ) 56.74/65.00 ( xa, xb, xb ) 56.74/65.00 ( xa, xb, xq ) 56.74/65.00 ( xa, xc, xd ) 56.74/65.00 ( xb, xc, xd ) 56.74/65.00 ( xp, xa, xb ) 56.74/65.00 ( xp, xc, xd ) 56.74/65.00 ( xc, xc, xa ) 56.74/65.00 ( xc, xd, (midpoint xp xq) ) 56.74/65.00 ( xc, xd, (midpoint xa xb) ) 56.74/65.00 ( xq, xa, xa ) 56.74/65.00 ( xq, xa, xb ) 56.74/65.00 ( xq, xc, xd ) 56.74/65.00 ( (midpoint xp xq), xc, xd ) 56.74/65.00 ( (midpoint xa xb), xc, xd ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (s_t Xa Xb Xc)) (s_t Xa Xb Xd) (= Xb Xc) (not (s_t Xb Xc Xd))) ) 56.74/65.00 ( xa, xb, xq, xp ) 56.74/65.00 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq), (erect21a xa xb xq) ) 56.74/65.00 ( skv_2, skv_2, skv_1, skv_1 ) 56.74/65.00 ( skv_2, skv_2, skv_3, skv_3 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (s_col Xb Xa Xc) (not (s_col Xa Xb Xc))) ) 56.74/65.00 ( beta, alpha, gamma ) 56.74/65.00 ( gamma, beta, alpha ) 56.74/65.00 ( alpha, gamma, beta ) 56.74/65.00 ( xa, xa, xq ) 56.74/65.00 ( xa, xb, xa ) 56.74/65.00 ( xa, xb, xb ) 56.74/65.00 ( xa, xb, xq ) 56.74/65.00 ( xb, xa, xp ) 56.74/65.00 ( xb, xa, xq ) 56.74/65.00 ( xc, xd, (midpoint xp xq) ) 56.74/65.00 ( xc, xd, (midpoint xa xb) ) 56.74/65.00 ( xd, xc, xa ) 56.74/65.00 ( xd, xc, xb ) 56.74/65.00 ( xd, xc, xp ) 56.74/65.00 ( xd, xc, xq ) 56.74/65.00 ( xd, xc, (midpoint xp xq) ) 56.74/65.00 ( xd, xc, (midpoint xa xb) ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (sameside Xa Xp Xb)) (not (le Xp Xa Xp Xb)) (s_t Xp Xa Xb)) ) 56.74/65.00 ( beta, alpha, gamma ) 56.74/65.00 ( gamma, beta, alpha ) 56.74/65.00 ( alpha, gamma, beta ) 56.74/65.00 ( xa, xp, xb ) 56.74/65.00 ( xa, xq, xb ) 56.74/65.00 ( xb, xa, xa ) 56.74/65.00 ( xb, xa, xp ) 56.74/65.00 ( xp, xb, xa ) 56.74/65.00 ( xq, xb, xa ) 56.74/65.00 ( skv_1, skv_2, skv_1 ) 56.74/65.00 ( skv_2, skv_2, skv_1 ) 56.74/65.00 ( skv_2, skv_2, skv_3 ) 56.74/65.00 ( skv_3, skv_2, skv_3 ) 56.74/65.00 ( skv_4, skv_5, skv_4 ) 56.74/65.00 ( skv_6, skv_5, skv_6 ) 56.74/65.00 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, skv_1 ) 56.74/65.00 ( (ext skv_2 skv_3 skv_5 skv_6), skv_2, skv_3 ) 56.74/65.00 ( (ext skv_5 skv_4 skv_2 skv_1), skv_5, skv_4 ) 56.74/65.00 ( (ext skv_5 skv_6 skv_2 skv_3), skv_5, skv_6 ) 56.74/65.00 ( (erectAux21a xa xb xq), xq, (erect21a xa xb xq) ) 56.74/65.00 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_2 ) 56.74/65.00 ( (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_5 ) 56.74/65.00 ( (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_3 ) 56.74/65.00 ( (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_6 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (s_e X Y Z Z)) (= X Y)) ) 56.74/65.00 ( xq, xa, xq ) 56.74/65.00 ( skv_1, skv_2, skv_5 ) 56.74/65.00 ( skv_1, skv_3, skv_4 ) 56.74/65.00 ( skv_3, (ext skv_2 skv_3 skv_5 skv_6), skv_5 ) 56.74/65.00 ( skv_5, skv_4, skv_2 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (s_e Y (ext X Y W V) W V) ) 56.74/65.00 ( skv_2, skv_1, skv_5, skv_4 ) 56.74/65.00 ( skv_2, skv_3, skv_5, skv_6 ) 56.74/65.00 ( skv_5, skv_4, skv_2, skv_1 ) 56.74/65.00 ( skv_5, skv_6, skv_2, skv_3 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (s_t X Y (ext X Y W V)) ) 56.74/65.00 ( skv_2, skv_1, skv_5, skv_4 ) 56.74/65.00 ( skv_2, skv_3, skv_5, skv_6 ) 56.74/65.00 ( skv_5, skv_4, skv_2, skv_1 ) 56.74/65.00 ( skv_5, skv_6, skv_2, skv_3 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xc $$unsorted) (Xb $$unsorted) (Xq $$unsorted)) (or (not (s_t Xb Xq Xc)) (s_t Xp (ip Xa Xp Xc Xb Xq) Xb) (not (s_t Xa Xp Xc))) ) 56.74/65.00 ( xa, xb, xq, xa, xb ) 56.74/65.00 ( xp, (erectAux21a xa xb xp), (erect21a xa xb xp), xp, (erectAux21a xa xb xp) ) 56.74/65.00 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq), xq, (erectAux21a xa xb xq) ) 56.74/65.00 ( skv_2, skv_2, skv_1, skv_2, skv_2 ) 56.74/65.00 ( skv_2, skv_2, skv_3, skv_2, skv_2 ) 56.74/65.00 ( skv_5, skv_5, skv_4, skv_5, skv_5 ) 56.74/65.00 ( skv_5, skv_5, skv_6, skv_5, skv_5 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xc $$unsorted) (Xb $$unsorted) (Xq $$unsorted)) (or (not (s_t Xa Xp Xc)) (not (s_t Xb Xq Xc)) (s_t Xq (ip Xa Xp Xc Xb Xq) Xa)) ) 56.74/65.00 ( xa, xb, xq, xa, xb ) 56.74/65.00 ( xp, (erectAux21a xa xb xp), (erect21a xa xb xp), xp, (erectAux21a xa xb xp) ) 56.74/65.00 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq), xq, (erectAux21a xa xb xq) ) 56.74/65.00 ( skv_2, skv_2, skv_1, skv_2, skv_2 ) 56.74/65.00 ( skv_2, skv_2, skv_3, skv_2, skv_2 ) 56.74/65.00 ( skv_5, skv_5, skv_4, skv_5, skv_5 ) 56.74/65.00 ( skv_5, skv_5, skv_6, skv_5, skv_5 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted)) (or (= Xp (reflect Xa Xb Xp)) (not (s_col Xa Xb Xp)) (= Xa Xb)) ) 56.74/65.00 ( xa, xb, xa ) 56.74/65.00 ( xa, xb, xb ) 56.74/65.00 ( xa, xb, xq ) 56.74/65.00 ( xa, xq, xb ) 56.74/65.00 ( xb, xa, xq ) 56.74/65.00 ( xb, xq, xa ) 56.74/65.00 ( xc, xd, (midpoint xp xq) ) 56.74/65.00 ( xc, xd, (midpoint xa xb) ) 56.74/65.00 ( xq, xa, xb ) 56.74/65.00 ( xq, xb, xa ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_col Xa Xb Xc)) (s_t Xa Xb Xc) (s_t Xc Xa Xb) (s_t Xb Xc Xa)) ) 56.74/65.00 ( beta, gamma, alpha ) 56.74/65.00 ( beta, alpha, gamma ) 56.74/65.00 ( gamma, beta, alpha ) 56.74/65.00 ( gamma, alpha, beta ) 56.74/65.00 ( alpha, beta, gamma ) 56.74/65.00 ( alpha, gamma, beta ) 56.74/65.00 ( xa, xa, xb ) 56.74/65.00 ( xa, xa, xq ) 56.74/65.00 ( xa, xb, xa ) 56.74/65.00 ( xa, xb, xb ) 56.74/65.00 ( xa, xb, xq ) 56.74/65.00 ( xa, xq, xb ) 56.74/65.00 ( xb, xa, xa ) 56.74/65.00 ( xb, xa, xq ) 56.74/65.00 ( xc, xc, xa ) 56.74/65.00 ( xc, xd, (midpoint xp xq) ) 56.74/65.00 ( xc, xd, (midpoint xa xb) ) 56.74/65.00 ( xq, xb, xa ) 56.74/65.00 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.74/65.00 ( skv_1, skv_2, skv_2 ) 56.74/65.00 ( skv_2, skv_1, skv_2 ) 56.74/65.00 ( skv_2, skv_2, skv_1 ) 56.74/65.00 ( skv_2, skv_2, skv_3 ) 56.74/65.00 ( skv_2, skv_3, skv_2 ) 56.74/65.00 ( skv_3, skv_2, skv_2 ) 56.74/65.00 ( (erect21a xa xb xq), xq, (erectAux21a xa xb xq) ) 56.74/65.00 ( (erectAux21a xa xb xq), (erect21a xa xb xq), xq ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_t Xb Xc Xa)) (s_col Xa Xb Xc)) ) 56.74/65.00 ( xa, xa, xq ) 56.74/65.00 ( xa, xb, xp ) 56.74/65.00 ( xa, xb, xq ) 56.74/65.00 ( xa, xp, xb ) 56.74/65.00 ( xb, xa, xp ) 56.74/65.00 ( xp, xb, xa ) 56.74/65.00 ( xc, xd, xa ) 56.74/65.00 ( xc, xd, xb ) 56.74/65.00 ( xc, xd, xp ) 56.74/65.00 ( xc, xd, xq ) 56.74/65.00 ( xc, xd, (midpoint xp xq) ) 56.74/65.00 ( xc, xd, (midpoint xa xb) ) 56.74/65.00 ( skv_1, skv_2, skv_2 ) 56.74/65.00 ( skv_2, skv_1, skv_1 ) 56.74/65.00 ( skv_2, skv_3, skv_3 ) 56.74/65.00 ( skv_3, skv_2, skv_2 ) 56.74/65.00 ( skv_4, skv_5, skv_5 ) 56.74/65.00 ( skv_5, skv_4, skv_4 ) 56.74/65.00 ( skv_5, skv_6, skv_6 ) 56.74/65.00 ( skv_6, skv_5, skv_5 ) 56.74/65.00 ( (erect21a xa xb xp), xp, (erectAux21a xa xb xp) ) 56.74/65.00 ( (erect21a xa xb xq), xq, (erectAux21a xa xb xq) ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_t Xc Xa Xb)) (s_col Xa Xb Xc)) ) 56.74/65.00 ( xa, xa, xq ) 56.74/65.00 ( xa, xb, xp ) 56.74/65.00 ( xa, xb, xq ) 56.74/65.00 ( xa, xp, xb ) 56.74/65.00 ( xb, xa, xp ) 56.74/65.00 ( xp, xb, xa ) 56.74/65.00 ( xc, xd, xa ) 56.74/65.00 ( xc, xd, xb ) 56.74/65.00 ( xc, xd, xp ) 56.74/65.00 ( xc, xd, xq ) 56.74/65.00 ( xc, xd, (midpoint xp xq) ) 56.74/65.00 ( xc, xd, (midpoint xa xb) ) 56.74/65.00 ( skv_2, skv_1, skv_2 ) 56.74/65.00 ( skv_2, skv_3, skv_2 ) 56.74/65.00 ( skv_5, skv_4, skv_5 ) 56.74/65.00 ( skv_5, skv_6, skv_5 ) 56.74/65.00 ( (erectAux21a xa xb xp), (erect21a xa xb xp), xp ) 56.74/65.00 ( (erectAux21a xa xb xq), (erect21a xa xb xq), xq ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_t Xa Xb Xc)) (s_col Xa Xb Xc)) ) 56.74/65.00 ( xa, xa, xq ) 56.74/65.00 ( xa, xb, xp ) 56.74/65.00 ( xa, xb, xq ) 56.74/65.00 ( xa, xp, xb ) 56.74/65.00 ( xb, xa, xp ) 56.74/65.00 ( xb, xq, xq ) 56.74/65.00 ( xp, xb, xa ) 56.74/65.00 ( xp, (erectAux21a xa xb xp), (erect21a xa xb xp) ) 56.74/65.00 ( xc, xd, xa ) 56.74/65.00 ( xc, xd, xb ) 56.74/65.00 ( xc, xd, xp ) 56.74/65.00 ( xc, xd, xq ) 56.74/65.00 ( xc, xd, (midpoint xp xq) ) 56.74/65.00 ( xc, xd, (midpoint xa xb) ) 56.74/65.00 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.74/65.00 ( skv_2, skv_2, skv_1 ) 56.74/65.00 ( skv_2, skv_2, skv_3 ) 56.74/65.00 ( skv_5, skv_5, skv_4 ) 56.74/65.00 ( skv_5, skv_5, skv_6 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_t Xa Xb Xc)) (not (s_t Xb Xa Xc)) (= Xa Xb)) ) 56.74/65.00 ( xa, xb, xq ) 56.74/65.00 ( xb, xa, xq ) 56.74/65.00 ( xp, (erectAux21a xa xb xp), (erect21a xa xb xp) ) 56.74/65.00 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.74/65.00 ( (erectAux21a xa xb xp), xp, (erect21a xa xb xp) ) 56.74/65.00 ( (erectAux21a xa xb xq), xq, (erect21a xa xb xq) ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_t Xa Xb Xc)) (not (s_e Xa Xc Xa Xb)) (= Xb Xc)) ) 56.74/65.00 ( xa, xb, xq ) 56.74/65.00 ( xp, (erectAux21a xa xb xp), (erect21a xa xb xp) ) 56.74/65.00 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.74/65.00 ( skv_2, skv_2, skv_1 ) 56.74/65.00 ( skv_2, skv_2, skv_3 ) 56.74/65.00 ( skv_5, skv_5, skv_4 ) 56.74/65.00 ( skv_5, skv_5, skv_6 ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted)) (or (= Xa Xb) (not (= Xp (reflect Xa Xb Xp))) (s_col Xa Xb Xp)) ) 56.74/65.00 ( beta, gamma, alpha ) 56.74/65.00 ( gamma, alpha, beta ) 56.74/65.00 ( alpha, beta, gamma ) 56.74/65.00 ( xa, xb, xp ) 56.74/65.00 ( xa, xb, xq ) 56.74/65.00 ( xa, xp, xb ) 56.74/65.00 ( xb, xa, xp ) 56.74/65.00 ( xb, xp, xa ) 56.74/65.00 ( xp, xa, xb ) 56.74/65.00 ( xp, xb, xa ) 56.74/65.00 ( xc, xd, xa ) 56.74/65.00 ( xc, xd, xb ) 56.74/65.00 ( xc, xd, xp ) 56.74/65.00 ( xc, xd, xq ) 56.74/65.00 ( xc, xd, (midpoint xp xq) ) 56.74/65.00 ( xc, xd, (midpoint xa xb) ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (= Xa Xb) (s_e Xp Xq (reflect Xa Xb Xp) (reflect Xa Xb Xq)) (not (s_col Xa Xb Xp))) ) 56.74/65.00 ( xa, xb, xq, xq ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted)) (or (s_col Xp Xq Xp) (= Xp Xq)) ) 56.74/65.00 ( xa, xb ) 56.74/65.00 ( xa, xp ) 56.74/65.00 ( xb, xq ) 56.74/65.00 ( xc, xd ) 56.74/65.00 ( xq, xa ) 56.74/65.00 ( xq, xb ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xd $$unsorted) (Xe $$unsorted) (Xd1 $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (or (not (samesideline Xa Xb Xd1 Xe)) (samesideline Xa Xb Xd Xe) (not (s_t Xe Xd Xd1)) (= Xd Xe)) ) 56.74/65.00 ( xa, xb, xa, (triangle xa xb xq xa xb xq), xq ) 56.74/65.00 ( xa, xb, xa, (constructAngle xa xb xq xa xb xq), xq ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xp $$unsorted) (Xa $$unsorted) (Xq $$unsorted)) (or (= Xq (s Xa Xp)) (not (s_m Xp Xa Xq))) ) 56.74/65.00 ( xa, xb, xb ) 56.74/65.00 ( xa, xb, xq ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted) (Y1 $$unsorted) (Z1 $$unsorted)) (or (s_col Y Z X) (not (perpAt Y Z X Y1 Z1))) ) 56.74/65.00 ( xc, xd, xb, xa, xb ) 56.74/65.00 ( xc, xd, xq, xp, xq ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted) (Y1 $$unsorted) (Z1 $$unsorted)) (or (= Y Z) (not (s_col Y Z X)) (= Y1 Z1) (s_col Y Z (f811 Y Z Y1 Z1 X)) (not (s_col Y1 Z1 X)) (perpAt Y Z X Y1 Z1)) ) 56.74/65.00 ( xa, xb, xq, xa, xb ) 56.74/65.00 ( xc, xd, (il xc xd xp xq), xp, xq ) 56.74/65.00 ( xc, xd, (il xc xd xa xb), xa, xb ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Y1 $$unsorted) (Z1 $$unsorted) (Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (or (= Y1 Z1) (not (s_r (f811 Y Z Y1 Z1 X) X (g811 Y Z Y1 Z1 X))) (not (s_col Y1 Z1 X)) (not (s_col Y Z X)) (= Y Z) (perpAt Y Z X Y1 Z1)) ) 56.74/65.00 ( xa, xb, xa, xb, xa ) 56.74/65.00 ( xa, xb, xa, xb, xb ) 56.74/65.00 ( xa, xb, xa, xb, xq ) 56.74/65.00 ( xa, xb, xb, xa, xq ) 56.74/65.00 ( xa, xb, xc, xd, (il xc xd xa xb) ) 56.74/65.00 ( xa, xq, xa, xq, xb ) 56.74/65.00 ( xb, xa, xa, xb, xq ) 56.74/65.00 ( xb, xq, xb, xq, xa ) 56.74/65.00 ( xp, xq, xc, xd, (il xc xd xp xq) ) 56.74/65.00 ( xc, xd, xc, xd, (midpoint xp xq) ) 56.74/65.00 ( xc, xd, xc, xd, (midpoint xa xb) ) 56.74/65.00 ( xq, xa, xq, xa, xb ) 56.74/65.00 ( xq, xb, xq, xb, xa ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted) (Y1 $$unsorted) (Z1 $$unsorted)) (or (perpAt Y Z X Y1 Z1) (s_col Y1 Z1 (g811 Y Z Y1 Z1 X)) (not (s_col Y1 Z1 X)) (not (s_col Y Z X)) (= Y1 Z1) (= Y Z)) ) 56.74/65.00 ( xa, xb, xq, xa, xb ) 56.74/65.00 ( xc, xd, (il xc xd xp xq), xp, xq ) 56.74/65.00 ( xc, xd, (il xc xd xa xb), xa, xb ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted) (Y1 $$unsorted) (Z1 $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (perpAt Y Z X Y1 Z1)) (s_r U X V) (not (s_col Y1 Z1 V)) (not (s_col Y Z U))) ) 56.74/65.00 ( xa, xb, xq, xa, xb, (f811 xa xb xa xb xq), (g811 xa xb xa xb xq) ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted) (Y1 $$unsorted) (Z1 $$unsorted)) (or (not (perpAt Y Z X Y1 Z1)) (s_col Y1 Z1 X)) ) 56.74/65.00 ( xc, xd, xq, xp, xq ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Z $$unsorted) (X $$unsorted) (Y1 $$unsorted) (Z1 $$unsorted)) (not (perpAt Z Z X Y1 Z1)) ) 56.74/65.00 ( xc, (il xc xd xp xq), xp, xq ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Z1 $$unsorted) (Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (not (perpAt Y Z X Z1 Z1)) ) 56.74/65.00 ( xa, xc, xd, (il xc xd xa xb) ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (= Xa Xb) (samesideline Xq Xp Xa Xb) (not (samesideline Xp Xq Xa Xb))) ) 56.74/65.00 ( xa, xb, xb, xa ) 56.74/65.00 ( xa, xb, xq, (triangle xa xb xq xa xb xq) ) 56.74/65.00 ( xa, xb, xq, (constructAngle xa xb xq xa xb xq) ) 56.74/65.00 ( xa, xb, (triangle xa xb xp xa xb xp), xp ) 56.74/65.00 ( xa, xb, (triangle xa xb xq xa xb xq), xq ) 56.74/65.00 ( xa, xb, (constructAngle xa xb xp xa xb xp), xp ) 56.74/65.00 ( xa, xb, (constructAngle xa xb xq xa xb xq), xq ) 56.74/65.00 ( xa, xb, (erectsameside xa xb xq xp), xp ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (= Xa Xb) (not (s_t Xc Xa Xb)) (s_t Xc Xd Xb) (s_t Xd Xc Xb) (not (s_t Xd Xa Xb))) ) 56.74/65.00 ( skv_2, skv_1, skv_2, skv_2 ) 56.74/65.00 ( skv_2, skv_3, skv_2, skv_2 ) 56.74/65.00 ( (erectAux21a xa xb xq), (erect21a xa xb xq), xq, (erectAux21a xa xb xq) ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xp $$unsorted)) (or (s_col Xa Xb Xc) (s_col Xa1 Xb1 Xp) (not (s_e Xa Xb Xa1 Xb1)) (samesideline (triangle Xa Xb Xc Xa1 Xb1 Xp) Xp Xa1 Xb1) (= Xa Xb)) ) 56.74/65.00 ( beta, gamma, alpha, xa, xb, xp ) 56.74/65.00 ( gamma, alpha, beta, gamma, alpha, beta ) 56.74/65.00 ( alpha, beta, gamma, alpha, beta, gamma ) 56.74/65.00 ( xa, xb, xp, beta, gamma, alpha ) 56.74/65.00 ( xa, xb, xp, xa, xb, xp ) 56.74/65.00 ( xa, xb, xq, xa, xb, xq ) 56.74/65.00 ( xa, xp, xb, xb, xa, xp ) 56.74/65.00 ( xb, xa, xp, xa, xa, xq ) 56.74/65.00 ( xb, xp, xa, xb, xp, xa ) 56.74/65.00 ( xp, xa, xb, xc, xd, (midpoint xa xb) ) 56.74/65.00 ( xp, xb, xa, xc, xd, xb ) 56.74/65.00 ( xc, xd, xa, xc, xd, xq ) 56.74/65.00 ( xc, xd, xb, xc, xd, xa ) 56.74/65.00 ( xc, xd, xp, xa, xp, xb ) 56.74/65.00 ( xc, xd, xq, xc, xd, xp ) 56.74/65.00 ( xc, xd, (midpoint xp xq), xp, xb, xa ) 56.74/65.00 ( xc, xd, (midpoint xa xb), xc, xd, (midpoint xp xq) ) 56.74/65.00 ) 56.74/65.00 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xp $$unsorted)) (or (= Xa Xb) (s_col Xa Xb Xc) (not (s_e Xa Xb Xa1 Xb1)) (s_e3 Xa Xb Xc Xa1 Xb1 (triangle Xa Xb Xc Xa1 Xb1 Xp)) (s_col Xa1 Xb1 Xp)) ) 56.74/65.00 ( beta, gamma, alpha, xa, xb, xp ) 56.74/65.00 ( gamma, alpha, beta, gamma, alpha, beta ) 56.74/65.00 ( alpha, beta, gamma, alpha, beta, gamma ) 56.74/65.00 ( xa, xb, xp, beta, gamma, alpha ) 56.74/65.00 ( xa, xb, xp, xa, xb, xp ) 56.74/65.00 ( xa, xb, xq, xa, xb, xq ) 56.74/65.00 ( xa, xp, xb, xb, xa, xp ) 56.74/65.00 ( xb, xa, xp, xa, xa, xq ) 56.74/65.00 ( xb, xp, xa, xb, xp, xa ) 56.74/65.00 ( xp, xa, xb, xc, xd, (midpoint xa xb) ) 56.74/65.00 ( xp, xb, xa, xc, xd, xb ) 56.74/65.00 ( xc, xd, xa, xc, xd, xq ) 56.74/65.00 ( xc, xd, xb, xc, xd, xa ) 56.74/65.00 ( xc, xd, xp, xa, xp, xb ) 56.74/65.00 ( xc, xd, xq, xc, xd, xp ) 56.74/65.00 ( xc, xd, (midpoint xp xq), xp, xb, xa ) 56.74/65.00 ( xc, xd, (midpoint xa xb), xc, xd, (midpoint xp xq) ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (or (not (s_e Xa Xd Xa1 Xd1)) (s_fs Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1) (not (s_e Xb Xd Xb1 Xd1)) (not (s_e3 Xa Xb Xc Xa1 Xb1 Xc1)) (not (s_col Xa Xb Xc))) ) 56.74/65.01 ( xa, xb, xq, xa, xa, xb, (triangle xa xb xq xa xb xq), xq ) 56.74/65.01 ( skv_2, skv_2, skv_1, skv_1, skv_5, skv_5, skv_4, skv_4 ) 56.74/65.01 ( skv_2, skv_2, skv_3, skv_3, skv_5, skv_5, skv_6, skv_6 ) 56.74/65.01 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, (ext skv_2 skv_3 skv_5 skv_6), skv_2, (ext skv_5 skv_4 skv_2 skv_1), skv_5, (ext skv_5 skv_6 skv_2 skv_3), skv_5 ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (s_e Xa Xb Xc (insert Xa Xb Xc Xd)) (not (le Xa Xb Xc Xd))) ) 56.74/65.01 ( beta, gamma, beta, alpha ) 56.74/65.01 ( beta, gamma, alpha, gamma ) 56.74/65.01 ( gamma, alpha, beta, alpha ) 56.74/65.01 ( gamma, alpha, gamma, beta ) 56.74/65.01 ( alpha, beta, gamma, beta ) 56.74/65.01 ( alpha, beta, alpha, gamma ) 56.74/65.01 ( xa, xb, xa, xq ) 56.74/65.01 ( xb, xq, xa, xq ) 56.74/65.01 ( skv_2, skv_1, skv_2, skv_1 ) 56.74/65.01 ( skv_2, skv_3, skv_2, skv_3 ) 56.74/65.01 ( skv_5, skv_4, skv_5, skv_4 ) 56.74/65.01 ( skv_5, skv_6, skv_5, skv_6 ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (s_t Xc (insert Xa Xb Xc Xd) Xd) (not (le Xa Xb Xc Xd))) ) 56.74/65.01 ( beta, gamma, beta, alpha ) 56.74/65.01 ( beta, gamma, alpha, gamma ) 56.74/65.01 ( gamma, alpha, beta, alpha ) 56.74/65.01 ( gamma, alpha, gamma, beta ) 56.74/65.01 ( alpha, beta, gamma, beta ) 56.74/65.01 ( alpha, beta, alpha, gamma ) 56.74/65.01 ( xa, xb, xa, xq ) 56.74/65.01 ( xb, xq, xa, xq ) 56.74/65.01 ( skv_2, skv_1, skv_2, skv_1 ) 56.74/65.01 ( skv_2, skv_3, skv_2, skv_3 ) 56.74/65.01 ( skv_5, skv_4, skv_5, skv_4 ) 56.74/65.01 ( skv_5, skv_6, skv_5, skv_6 ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (s_col Xp Xq (ss1 Xa Xb Xp Xq)) (not (samesideline Xa Xb Xp Xq))) ) 56.74/65.01 ( xp, xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (erectsameside xa xb xq xp), xp, xa, xb ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (s_t Xb (ss2 Xa Xb Xp Xq) (ss3 Xa Xb Xp Xq)) (not (samesideline Xa Xb Xp Xq))) ) 56.74/65.01 ( xp, xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (erectsameside xa xb xq xp), xp, xa, xb ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (= Xb (ss2 Xa Xb Xp Xq))) (not (samesideline Xa Xb Xp Xq))) ) 56.74/65.01 ( xp, xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (erectsameside xa xb xq xp), xp, xa, xb ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (= (ss1 Xa Xb Xp Xq) (ss3 Xa Xb Xp Xq))) (not (samesideline Xa Xb Xp Xq))) ) 56.74/65.01 ( xp, xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (erectsameside xa xb xq xp), xp, xa, xb ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (samesideline Xa Xb Xp Xq)) (not (= (ss2 Xa Xb Xp Xq) (ss3 Xa Xb Xp Xq)))) ) 56.74/65.01 ( xp, xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (erectsameside xa xb xq xp), xp, xa, xb ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (samesideline Xa Xb Xp Xq)) (not (s_col Xp Xq Xa))) ) 56.74/65.01 ( xa, xb, xa, xb ) 56.74/65.01 ( xa, xb, xa, xq ) 56.74/65.01 ( xb, xq, xb, xq ) 56.74/65.01 ( xc, xd, xc, xd ) 56.74/65.01 ( xq, xa, xq, xa ) 56.74/65.01 ( xq, xb, xq, xb ) 56.74/65.01 ( xq, xq, xa, xb ) 56.74/65.01 ( (triangle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (erectsameside xa xb xq xp), xp, xa, xb ) 56.74/65.01 ( (midpoint xp xq), (midpoint xp xq), xc, xd ) 56.74/65.01 ( (midpoint xa xb), (midpoint xa xb), xc, xd ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (samesideline Xa Xb Xp Xq)) (not (s_col Xp Xq Xb))) ) 56.74/65.01 ( (triangle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xu $$unsorted) (Xc $$unsorted) (Xv $$unsorted)) (or (not (s_t Xa Xu Xc)) (not (s_col Xp Xq Xu)) (not (s_col Xp Xq Xv)) (= Xp Xq) (= Xu Xc) (s_col Xp Xq Xa) (s_col Xp Xq Xb) (samesideline Xa Xb Xp Xq) (= Xb Xv) (= Xa Xu) (= Xc Xv) (not (s_t Xb Xv Xc))) ) 56.74/65.01 ( xp, xp, xb, xa, (erectAux21a xa xb xp), (erect21a xa xb xp), xq ) 56.74/65.01 ( xq, xp, xc, xd, (erectAux21a xa xb xq), (erect21a xa xb xq), (midpoint xp xq) ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (samesideline Xa Xb Xp Xq)) (not (= Xa (ss1 Xa Xb Xp Xq)))) ) 56.74/65.01 ( xp, xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (erectsameside xa xb xq xp), xp, xa, xb ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (s_t Xa (ss1 Xa Xb Xp Xq) (ss3 Xa Xb Xp Xq)) (not (samesideline Xa Xb Xp Xq))) ) 56.74/65.01 ( xp, xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (erectsameside xa xb xq xp), xp, xa, xb ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (samesideline Xa Xb Xp Xq)) (s_col Xp Xq (ss2 Xa Xb Xp Xq))) ) 56.74/65.01 ( xp, xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (triangle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xp xa xb xp), xp, xa, xb ) 56.74/65.01 ( (constructAngle xa xb xq xa xb xq), xq, xa, xb ) 56.74/65.01 ( (erectsameside xa xb xq xp), xp, xa, xb ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xq $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (not (samesideline Xa Xb Xq Xq)) ) 56.74/65.01 ( xa, xp, xp ) 56.74/65.01 ( xa, (triangle xa xb xp xa xb xp), xp ) 56.74/65.01 ( xa, (triangle xa xb xq xa xb xq), xq ) 56.74/65.01 ( xa, (constructAngle xa xb xp xa xb xp), xp ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (samesideline Xp Xq Xa Xb)) (samesideline Xp Xq Xa Xc) (= Xa Xc) (= Xa Xb) (not (s_col Xa Xb Xc))) ) 56.74/65.01 ( xa, xb, xb, (triangle xa xb xq xa xb xq), xq ) 56.74/65.01 ( xa, xb, xb, (constructAngle xa xb xq xa xb xq), xq ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa1 $$unsorted) (Xb $$unsorted) (Xa2 $$unsorted) (Xc1 $$unsorted) (Xc2 $$unsorted) (Xd1 $$unsorted) (Xe $$unsorted) (Xd2 $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted) (Xa $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xf $$unsorted)) (or (not (sameside Xc1 Xb Xc2)) (not (sameside Xf1 Xe Xf2)) (not (s_e3 Xa1 Xb Xc1 Xd1 Xe Xf1)) (= Xb Xa) (= Xe Xd) (= Xe Xf) (not (sameside Xa2 Xb Xa)) (not (sameside Xc2 Xb Xc)) (not (sameside Xf2 Xe Xf)) (not (s_e Xb Xc2 Xe Xf2)) (s_e Xa2 Xc2 Xd2 Xf2) (not (s_e Xb Xa2 Xe Xd2)) (not (sameside Xd2 Xe Xd)) (= Xb Xc) (not (sameside Xd1 Xe Xd2)) (not (sameside Xa1 Xb Xa2))) ) 56.74/65.01 ( skv_2, skv_2, (ext skv_2 skv_1 skv_5 skv_4), skv_3, (ext skv_2 skv_1 skv_5 skv_4), skv_5, skv_5, (ext skv_5 skv_4 skv_2 skv_1), skv_6, (ext skv_5 skv_4 skv_2 skv_1), skv_1, skv_1, skv_4, skv_4 ) 56.74/65.01 ( skv_2, skv_2, (ext skv_2 skv_3 skv_5 skv_6), skv_1, (ext skv_2 skv_3 skv_5 skv_6), skv_5, skv_5, (ext skv_5 skv_6 skv_2 skv_3), skv_4, (ext skv_5 skv_6 skv_2 skv_3), skv_3, skv_3, skv_6, skv_6 ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (perpAt Xa Xb Xc Xp Xq)) (s_col Xp Xq (g813 Xa Xb Xp Xq Xc))) ) 56.74/65.01 ( xa, xb, xq, xa, xb ) 56.74/65.01 ( xc, xd, xb, xa, xb ) 56.74/65.01 ( xc, xd, xq, xp, xq ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (s_r (f813 Xa Xb Xp Xq Xc) Xc (g813 Xa Xb Xp Xq Xc)) (not (perpAt Xa Xb Xc Xp Xq))) ) 56.74/65.01 ( xa, xb, xq, xa, xb ) 56.74/65.01 ( xc, xd, xb, xa, xb ) 56.74/65.01 ( xc, xd, xq, xp, xq ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (= Xc (g813 Xa Xb Xp Xq Xc))) (not (perpAt Xa Xb Xc Xp Xq))) ) 56.74/65.01 ( xa, xb, xq, xa, xb ) 56.74/65.01 ( xc, xd, xb, xa, xb ) 56.74/65.01 ( xc, xd, xq, xp, xq ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (= Xc (f813 Xa Xb Xp Xq Xc))) (not (perpAt Xa Xb Xc Xp Xq))) ) 56.74/65.01 ( xa, xb, xq, xa, xb ) 56.74/65.01 ( xc, xd, xb, xa, xb ) 56.74/65.01 ( xc, xd, xq, xp, xq ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (s_col Xa Xb (f813 Xa Xb Xp Xq Xc)) (not (perpAt Xa Xb Xc Xp Xq))) ) 56.74/65.01 ( xa, xb, xq, xa, xb ) 56.74/65.01 ( xc, xd, xb, xa, xb ) 56.74/65.01 ( xc, xd, xq, xp, xq ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (s_col Xa Xb Xp)) (not (s_col Xa Xb Xq)) (perpAt Xa Xb Xr Xc Xd) (not (perpAt Xp Xq Xr Xc Xd)) (= Xa Xb) (= Xp Xq)) ) 56.74/65.01 ( xa, xb, xq, xa, xq, xa, xb ) 56.74/65.01 ( xc, xd, (midpoint xp xq), (midpoint xa xb), (il xc xd xp xq), xp, xq ) 56.74/65.01 ( xc, xd, (midpoint xa xb), (midpoint xp xq), (il xc xd xa xb), xa, xb ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xp $$unsorted)) (or (s_col Xa Xb Xc) (samesideline (constructAngle Xa Xb Xc Xd Xe Xp) Xp Xd Xe) (s_col Xd Xe Xp)) ) 56.74/65.01 ( beta, gamma, alpha, xa, xb, xp ) 56.74/65.01 ( gamma, alpha, beta, gamma, alpha, beta ) 56.74/65.01 ( alpha, beta, gamma, alpha, beta, gamma ) 56.74/65.01 ( xa, xa, xq, xa, xa, xq ) 56.74/65.01 ( xa, xb, xp, beta, gamma, alpha ) 56.74/65.01 ( xa, xb, xp, xa, xb, xp ) 56.74/65.01 ( xa, xb, xq, xa, xb, xq ) 56.74/65.01 ( xa, xp, xb, xa, xp, xb ) 56.74/65.01 ( xb, xa, xp, xb, xa, xp ) 56.74/65.01 ( xb, xp, xa, xb, xp, xa ) 56.74/65.01 ( xp, xa, xb, xp, xa, xb ) 56.74/65.01 ( xp, xb, xa, xp, xb, xa ) 56.74/65.01 ( xc, xd, xa, xc, xd, xa ) 56.74/65.01 ( xc, xd, xb, xc, xd, xb ) 56.74/65.01 ( xc, xd, xp, xc, xd, xp ) 56.74/65.01 ( xc, xd, xq, xc, xd, xq ) 56.74/65.01 ( xc, xd, (midpoint xp xq), xc, xd, (midpoint xp xq) ) 56.74/65.01 ( xc, xd, (midpoint xa xb), xc, xd, (midpoint xa xb) ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xp $$unsorted)) (or (s_col Xd Xe Xp) (congruent Xa Xb Xc Xd Xe (constructAngle Xa Xb Xc Xd Xe Xp)) (s_col Xa Xb Xc)) ) 56.74/65.01 ( beta, gamma, alpha, xa, xb, xp ) 56.74/65.01 ( gamma, alpha, beta, gamma, alpha, beta ) 56.74/65.01 ( alpha, beta, gamma, alpha, beta, gamma ) 56.74/65.01 ( xa, xa, xq, xa, xa, xq ) 56.74/65.01 ( xa, xb, xp, beta, gamma, alpha ) 56.74/65.01 ( xa, xb, xp, xa, xb, xp ) 56.74/65.01 ( xa, xb, xq, xa, xb, xq ) 56.74/65.01 ( xa, xp, xb, xa, xp, xb ) 56.74/65.01 ( xb, xa, xp, xb, xa, xp ) 56.74/65.01 ( xb, xp, xa, xb, xp, xa ) 56.74/65.01 ( xp, xa, xb, xp, xa, xb ) 56.74/65.01 ( xp, xb, xa, xp, xb, xa ) 56.74/65.01 ( xc, xd, xa, xc, xd, xa ) 56.74/65.01 ( xc, xd, xb, xc, xd, xb ) 56.74/65.01 ( xc, xd, xp, xc, xd, xp ) 56.74/65.01 ( xc, xd, xq, xc, xd, xq ) 56.74/65.01 ( xc, xd, (midpoint xp xq), xc, xd, (midpoint xp xq) ) 56.74/65.01 ( xc, xd, (midpoint xa xb), xc, xd, (midpoint xa xb) ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xc $$unsorted)) (or (= Xa Xb) (not (s_col Xa Xb Xq)) (perp Xa Xb Xc Xp) (not (s_r Xc Xp Xq)) (s_col Xa Xb Xc) (= Xp Xq) (not (s_col Xa Xb Xp))) ) 56.74/65.01 ( xa, xb, xa, xq, (erect21a xa xb xq) ) 56.74/65.01 ( xa, xb, xd, xa, xc ) 56.74/65.01 ) 56.74/65.01 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (sameside Xa Xp Xb)) (not (s_t Xa Xp Xb))) ) 56.74/65.01 ( xa, xq, xb ) 56.74/65.01 ( xp, (erectAux21a xa xb xp), (erect21a xa xb xp) ) 56.74/65.01 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.74/65.01 ( skv_2, skv_2, skv_1 ) 56.74/65.01 ( skv_2, skv_2, skv_3 ) 56.74/65.01 ( skv_5, skv_5, skv_4 ) 56.74/65.01 ( skv_5, skv_5, skv_6 ) 56.74/65.01 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, skv_1 ) 56.74/65.01 ( (ext skv_2 skv_3 skv_5 skv_6), skv_2, skv_3 ) 56.74/65.01 ( (ext skv_5 skv_4 skv_2 skv_1), skv_5, skv_4 ) 56.74/65.01 ( (ext skv_5 skv_6 skv_2 skv_3), skv_5, skv_6 ) 56.74/65.01 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_2 ) 56.74/65.01 ( (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_5 ) 56.82/65.01 ( (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_3 ) 56.82/65.01 ( (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_6 ) 56.82/65.01 ) 56.82/65.01 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (sameside Xa Xp Xb)) (s_col Xa Xp Xb)) ) 56.82/65.01 ( xa, xa, xq ) 56.82/65.01 ( xa, xb, xp ) 56.82/65.01 ( xa, xb, xq ) 56.82/65.01 ( xa, xp, xb ) 56.82/65.01 ( xb, xa, xp ) 56.82/65.01 ( xb, xp, xa ) 56.82/65.01 ( xp, xa, xb ) 56.82/65.01 ( xp, xb, xa ) 56.82/65.01 ( xc, xd, xa ) 56.82/65.01 ( xc, xd, xb ) 56.82/65.01 ( xc, xd, xp ) 56.82/65.01 ( xc, xd, xq ) 56.82/65.01 ( xc, xd, (midpoint xp xq) ) 56.82/65.01 ( xc, xd, (midpoint xa xb) ) 56.82/65.01 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, skv_1 ) 56.82/65.01 ( (ext skv_2 skv_3 skv_5 skv_6), skv_2, skv_3 ) 56.82/65.01 ( (ext skv_5 skv_4 skv_2 skv_1), skv_5, skv_4 ) 56.82/65.01 ( (ext skv_5 skv_6 skv_2 skv_3), skv_5, skv_6 ) 56.82/65.01 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_2 ) 56.82/65.01 ( (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_5 ) 56.82/65.01 ( (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_3 ) 56.82/65.01 ( (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_6 ) 56.82/65.01 ) 56.82/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Za $$unsorted) (Zb $$unsorted) (Zc $$unsorted) (Zd $$unsorted)) (or (not (s_t Za Zb Zc)) (s_afs Xa Xb Xc Xd Za Zb Zc Zd) (not (s_e Xb Xd Zb Zd)) (not (s_e Xa Xd Za Zd)) (not (s_e Xb Xc Zb Zc)) (not (s_e Xa Xb Za Zb)) (not (s_t Xa Xb Xc))) ) 56.82/65.01 ( xa, xa, xa, xa, xq, xq, xq, xq ) 56.82/65.01 ( xa, xa, xb, xb, xa, xa, xb, xb ) 56.82/65.01 ( xa, xa, xq, xq, xq, xq, xa, xa ) 56.82/65.01 ( xb, xb, xa, xa, xa, xa, xb, xb ) 56.82/65.01 ( xb, xb, xa, xa, xb, xb, xq, xq ) 56.82/65.01 ( skv_1, skv_1, skv_1, skv_1, skv_4, skv_4, skv_4, skv_4 ) 56.82/65.01 ( skv_1, skv_1, skv_2, skv_2, skv_4, skv_4, skv_5, skv_5 ) 56.82/65.01 ( skv_1, skv_1, skv_2, skv_2, skv_5, skv_5, skv_4, skv_4 ) 56.82/65.01 ( skv_1, skv_1, skv_3, skv_3, skv_4, skv_4, skv_6, skv_6 ) 56.82/65.01 ( skv_1, skv_1, (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_4, (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.82/65.01 ( skv_1, skv_1, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.82/65.01 ( skv_2, skv_2, skv_1, skv_1, skv_4, skv_4, skv_5, skv_5 ) 56.82/65.01 ( skv_2, skv_2, skv_1, skv_1, skv_5, skv_5, skv_4, skv_4 ) 56.82/65.01 ( skv_2, skv_2, skv_1, skv_3, skv_5, skv_5, skv_4, skv_6 ) 56.82/65.01 ( skv_2, skv_2, skv_2, skv_2, skv_5, skv_5, skv_5, skv_5 ) 56.82/65.01 ( skv_2, skv_2, skv_3, skv_1, skv_5, skv_5, skv_6, skv_4 ) 56.82/65.01 ( skv_2, skv_2, skv_3, skv_3, skv_5, skv_5, skv_6, skv_6 ) 56.82/65.01 ( skv_2, skv_2, skv_3, skv_3, skv_6, skv_6, skv_5, skv_5 ) 56.82/65.01 ( skv_3, skv_3, skv_2, skv_2, skv_5, skv_5, skv_6, skv_6 ) 56.82/65.01 ( skv_3, skv_3, skv_2, skv_2, skv_6, skv_6, skv_5, skv_5 ) 56.82/65.01 ( skv_3, skv_3, skv_3, skv_3, skv_6, skv_6, skv_6, skv_6 ) 56.82/65.01 ( skv_5, skv_5, skv_4, skv_4, skv_2, skv_2, skv_1, skv_1 ) 56.82/65.01 ( skv_5, skv_5, skv_4, skv_4, skv_5, skv_5, skv_4, skv_4 ) 56.82/65.01 ( skv_5, skv_5, skv_6, skv_6, skv_2, skv_2, skv_3, skv_3 ) 56.82/65.01 ( skv_5, skv_5, skv_6, skv_6, skv_5, skv_5, skv_6, skv_6 ) 56.82/65.01 ) 56.82/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Za $$unsorted) (Zb $$unsorted) (Zc $$unsorted) (Zd $$unsorted)) (or (s_e Xa Xb Za Zb) (not (s_afs Xa Xb Xc Xd Za Zb Zc Zd))) ) 56.82/65.01 ( skv_2, skv_2, skv_1, skv_1, skv_5, skv_5, skv_4, skv_4 ) 56.82/65.01 ( skv_2, skv_2, skv_3, skv_3, skv_5, skv_5, skv_6, skv_6 ) 56.82/65.01 ) 56.82/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Za $$unsorted) (Zb $$unsorted) (Zc $$unsorted) (Zd $$unsorted)) (or (s_t Xa Xb Xc) (not (s_afs Xa Xb Xc Xd Za Zb Zc Zd))) ) 56.82/65.01 ( skv_2, skv_2, skv_1, skv_1, skv_5, skv_5, skv_4, skv_4 ) 56.82/65.01 ( skv_2, skv_2, skv_3, skv_3, skv_5, skv_5, skv_6, skv_6 ) 56.82/65.01 ) 56.82/65.01 (instantiation (forall ((Xa1 $$unsorted) (Xa2 $$unsorted) (Xa3 $$unsorted) (Xb1 $$unsorted) (Xb2 $$unsorted) (Xb3 $$unsorted)) (or (s_e Xa1 Xa2 Xb1 Xb2) (not (s_e3 Xa1 Xa2 Xa3 Xb1 Xb2 Xb3))) ) 56.82/65.01 ( skv_2, skv_2, skv_1, skv_5, skv_5, skv_4 ) 56.82/65.01 ( skv_2, skv_2, skv_3, skv_5, skv_5, skv_6 ) 56.82/65.01 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, (ext skv_2 skv_3 skv_5 skv_6), (ext skv_5 skv_4 skv_2 skv_1), skv_5, (ext skv_5 skv_6 skv_2 skv_3) ) 56.82/65.01 ) 56.82/65.01 (instantiation (forall ((Xa1 $$unsorted) (Xa2 $$unsorted) (Xa3 $$unsorted) (Xb1 $$unsorted) (Xb2 $$unsorted) (Xb3 $$unsorted)) (or (not (s_e3 Xa1 Xa2 Xa3 Xb1 Xb2 Xb3)) (s_e Xa2 Xa3 Xb2 Xb3)) ) 56.82/65.01 ( xa, xb, xp, xa, xb, (triangle xa xb xp xa xb xp) ) 56.82/65.01 ( xa, xb, xq, xa, xb, (triangle xa xb xq xa xb xq) ) 56.82/65.01 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, (ext skv_2 skv_3 skv_5 skv_6), (ext skv_5 skv_4 skv_2 skv_1), skv_5, (ext skv_5 skv_6 skv_2 skv_3) ) 56.82/65.01 ) 56.82/65.01 (instantiation (forall ((Xa1 $$unsorted) (Xa2 $$unsorted) (Xa3 $$unsorted) (Xb1 $$unsorted) (Xb2 $$unsorted) (Xb3 $$unsorted)) (or (not (s_e Xa1 Xa3 Xb1 Xb3)) (not (s_e Xa2 Xa3 Xb2 Xb3)) (s_e3 Xa1 Xa2 Xa3 Xb1 Xb2 Xb3) (not (s_e Xa1 Xa2 Xb1 Xb2))) ) 56.82/65.01 ( xa, xa, xa, xq, xq, xq ) 56.82/65.01 ( xa, xa, xb, xa, xa, xb ) 56.82/65.01 ( xa, xa, xq, xq, xq, xa ) 56.82/65.01 ( xa, xb, xq, xa, xb, xp ) 56.82/65.01 ( xa, xb, xq, xa, xb, (triangle xa xb xq xa xb xq) ) 56.82/65.01 ( xb, xb, xa, xa, xa, xb ) 56.82/65.01 ( xb, xb, xa, xb, xb, xq ) 56.82/65.01 ( skv_1, skv_1, skv_2, skv_4, skv_4, skv_5 ) 56.82/65.01 ( skv_1, skv_1, skv_2, skv_5, skv_5, skv_4 ) 56.82/65.01 ( skv_1, skv_1, (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_4, (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.82/65.01 ( skv_1, skv_1, (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_4, (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6) ) 56.82/65.01 ( skv_1, skv_2, skv_1, skv_4, skv_5, skv_4 ) 56.82/65.01 ( skv_1, skv_2, skv_3, skv_4, skv_5, skv_6 ) 56.82/65.01 ( skv_2, skv_1, skv_1, skv_5, skv_4, skv_4 ) 56.82/65.01 ( skv_2, skv_1, skv_3, skv_5, skv_4, skv_6 ) 56.82/65.01 ( skv_2, skv_2, skv_1, skv_4, skv_4, skv_5 ) 56.82/65.01 ( skv_2, skv_2, skv_1, skv_5, skv_5, skv_4 ) 56.82/65.01 ( skv_2, skv_2, skv_2, skv_5, skv_5, skv_5 ) 56.82/65.01 ( skv_2, skv_2, skv_3, skv_5, skv_5, skv_6 ) 56.82/65.01 ( skv_2, skv_2, skv_3, skv_6, skv_6, skv_5 ) 56.82/65.01 ( skv_3, skv_3, skv_2, skv_5, skv_5, skv_6 ) 56.82/65.01 ( skv_3, skv_3, skv_2, skv_6, skv_6, skv_5 ) 56.82/65.01 ( skv_3, skv_3, skv_3, skv_6, skv_6, skv_6 ) 56.82/65.01 ( skv_5, skv_5, skv_4, skv_2, skv_2, skv_1 ) 56.82/65.01 ( skv_5, skv_5, skv_4, skv_5, skv_5, skv_4 ) 56.82/65.01 ( skv_5, skv_5, skv_6, skv_2, skv_2, skv_3 ) 56.82/65.01 ( skv_5, skv_5, skv_6, skv_5, skv_5, skv_6 ) 56.82/65.01 ) 56.82/65.01 (instantiation (forall ((Xa1 $$unsorted) (Xa2 $$unsorted) (Xa3 $$unsorted) (Xb1 $$unsorted) (Xb2 $$unsorted) (Xb3 $$unsorted)) (or (s_e Xa1 Xa3 Xb1 Xb3) (not (s_e3 Xa1 Xa2 Xa3 Xb1 Xb2 Xb3))) ) 56.82/65.01 ( xa, xb, xp, xa, xb, (triangle xa xb xp xa xb xp) ) 56.82/65.01 ( xa, xb, xq, xa, xb, (triangle xa xb xq xa xb xq) ) 56.82/65.01 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, (ext skv_2 skv_3 skv_5 skv_6), (ext skv_5 skv_4 skv_2 skv_1), skv_5, (ext skv_5 skv_6 skv_2 skv_3) ) 56.82/65.01 ) 56.82/65.01 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xp Xb) (not (s_t Xa Xp Xc)) (sameside Xa Xp Xb) (not (s_t Xb Xp Xc)) (= Xp Xc) (= Xa Xp)) ) 56.82/65.01 ( xa, xb, xp, xq ) 56.82/65.01 ) 56.82/65.01 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xc $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (or (= Xp Xq) (not (perpAt Xp Xq Xc Xa Xc)) (= Xc Xa) (s_col Xc Xa Xb) (not (perpAt Xp Xq Xc Xb Xc))) ) 56.82/65.01 ( xc, xd, xb, xa, xp ) 56.82/65.01 ) 56.82/65.01 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (s_e Xa (ins Xc Xd Xa Xb) Xc Xd) (not (le Xa Xb Xc Xd))) ) 56.82/65.01 ( beta, gamma, beta, alpha ) 56.82/65.01 ( beta, gamma, alpha, gamma ) 56.82/65.02 ( gamma, alpha, beta, alpha ) 56.82/65.02 ( gamma, alpha, gamma, beta ) 56.82/65.02 ( alpha, beta, gamma, beta ) 56.82/65.02 ( alpha, beta, alpha, gamma ) 56.82/65.02 ( xa, xb, xa, xq ) 56.82/65.02 ( xb, xq, xa, xq ) 56.82/65.02 ( skv_2, skv_1, skv_2, skv_1 ) 56.82/65.02 ( skv_2, skv_3, skv_2, skv_3 ) 56.82/65.02 ( skv_5, skv_4, skv_5, skv_4 ) 56.82/65.02 ( skv_5, skv_6, skv_5, skv_6 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (le Xa Xb Xc Xd)) (= (ins Xc Xd Xa Xb) (ext Xa Xb (insert Xa Xb Xc Xd) Xd))) ) 56.82/65.02 ( beta, gamma, beta, alpha ) 56.82/65.02 ( beta, gamma, alpha, gamma ) 56.82/65.02 ( gamma, alpha, beta, alpha ) 56.82/65.02 ( gamma, alpha, gamma, beta ) 56.82/65.02 ( alpha, beta, gamma, beta ) 56.82/65.02 ( alpha, beta, alpha, gamma ) 56.82/65.02 ( xa, xb, xa, xq ) 56.82/65.02 ( xb, xq, xa, xq ) 56.82/65.02 ( skv_2, skv_1, skv_2, skv_1 ) 56.82/65.02 ( skv_2, skv_3, skv_2, skv_3 ) 56.82/65.02 ( skv_5, skv_4, skv_5, skv_4 ) 56.82/65.02 ( skv_5, skv_6, skv_5, skv_6 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (le Xa Xb Xc Xd)) (s_t Xa Xb (ins Xc Xd Xa Xb))) ) 56.82/65.02 ( beta, gamma, beta, alpha ) 56.82/65.02 ( beta, gamma, alpha, gamma ) 56.82/65.02 ( gamma, alpha, beta, alpha ) 56.82/65.02 ( gamma, alpha, gamma, beta ) 56.82/65.02 ( alpha, beta, gamma, beta ) 56.82/65.02 ( alpha, beta, alpha, gamma ) 56.82/65.02 ( xa, xb, xa, xq ) 56.82/65.02 ( xb, xq, xa, xq ) 56.82/65.02 ( skv_2, skv_1, skv_2, skv_1 ) 56.82/65.02 ( skv_2, skv_3, skv_2, skv_3 ) 56.82/65.02 ( skv_5, skv_4, skv_5, skv_4 ) 56.82/65.02 ( skv_5, skv_6, skv_5, skv_6 ) 56.82/65.02 ) 56.82/65.02 (instantiation (let ((_let_0 (reflect Xa Xb Xp))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted)) (or (= Xa Xb) (= Xp _let_0) (perp Xa Xb Xp _let_0)) )) 56.82/65.02 ( xa, xb, xp ) 56.82/65.02 ( xc, xd, xa ) 56.82/65.02 ( xc, xd, xp ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted)) (or (s_col Xa Xb (midpoint Xp (reflect Xa Xb Xp))) (= Xa Xb)) ) 56.82/65.02 ( xa, xb, xp ) 56.82/65.02 ( xa, xb, xq ) 56.82/65.02 ( xc, xd, xa ) 56.82/65.02 ( xc, xd, xp ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xcs $$unsorted) (Xr $$unsorted)) (or (s_col Xp Xcs Xr) (not (s_col Xp Xq Xr)) (not (s_col Xp Xq Xcs)) (= Xp Xcs) (= Xp Xq)) ) 56.82/65.02 ( xa, xb, xb, xq ) 56.82/65.02 ( xa, xq, xp, xb ) 56.82/65.02 ( xb, xq, xp, xa ) 56.82/65.02 ( xc, xd, xd, (midpoint xp xq) ) 56.82/65.02 ( xc, xd, xd, (midpoint xa xb) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xb $$unsorted) (Xc $$unsorted) (Xa $$unsorted) (Xq $$unsorted)) (or (= Xb Xc) (not (s_col Xb Xc Xa)) (perp Xb Xc (erectsameside Xb Xc Xa Xq) Xa) (s_col Xb Xc Xq)) ) 56.82/65.02 ( xa, xb, xa, xp ) 56.82/65.02 ( xa, xb, xq, xp ) 56.82/65.02 ( xb, xa, xq, xp ) 56.82/65.02 ( xc, xd, (midpoint xp xq), xp ) 56.82/65.02 ( xc, xd, (midpoint xa xb), xq ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xb $$unsorted) (Xc $$unsorted) (Xa $$unsorted) (Xq $$unsorted)) (or (= Xb Xc) (s_col Xb Xc Xq) (samesideline (erectsameside Xb Xc Xa Xq) Xq Xb Xc) (not (s_col Xb Xc Xa))) ) 56.82/65.02 ( xa, xb, xa, xp ) 56.82/65.02 ( xa, xb, xq, xp ) 56.82/65.02 ( xb, xa, xq, xp ) 56.82/65.02 ( xc, xd, (midpoint xp xq), xp ) 56.82/65.02 ( xc, xd, (midpoint xa xb), xq ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xp $$unsorted)) (or (= Xa Xb) (not (s_col Xc Xd Xp)) (s_col Xa Xb Xp) (not (s_col Xa Xb Xd)) (not (s_col Xa Xb Xc)) (= Xc Xd)) ) 56.82/65.02 ( xa, xb, xa, xb, xq ) 56.82/65.02 ( xa, xp, xq, xa, xb ) 56.82/65.02 ( xb, xp, xb, xq, xa ) 56.82/65.02 ( xp, xa, xa, xq, xb ) 56.82/65.02 ( xp, xb, xq, xb, xa ) 56.82/65.02 ( xc, xd, xc, xd, (midpoint xp xq) ) 56.82/65.02 ( xc, xd, xc, xd, (midpoint xa xb) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_e Xa Xc Xa (s Xb Xc))) (s_r Xa Xb Xc)) ) 56.82/65.02 ( xa, xb, xq ) 56.82/65.02 ( (f811 xa xb xa xb xq), xq, (g811 xa xb xa xb xq) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_r Xa Xb Xc)) (s_e Xa Xc Xa (s Xb Xc))) ) 56.82/65.02 ( xa, xb, xb ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xc1 $$unsorted)) (or (not (s_t Xa Xb Xc)) (not (s_e Xa Xc Xa1 Xc1)) (s_t Xa1 (insert Xa Xb Xa1 Xc1) Xc1)) ) 56.82/65.02 ( xa, xb, xq, xq, xa ) 56.82/65.02 ( skv_2, skv_2, skv_1, skv_5, skv_4 ) 56.82/65.02 ( skv_2, skv_2, skv_3, skv_5, skv_6 ) 56.82/65.02 ( skv_5, skv_5, skv_4, skv_5, skv_4 ) 56.82/65.02 ( skv_5, skv_5, skv_6, skv_5, skv_6 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (not (congruent Xa Xb Xc Xd Xe Xf)) (sameside (ext Xb Xa Xe Xd) Xb Xa)) ) 56.82/65.02 ( xa, xb, xp, xa, xb, (constructAngle xa xb xp xa xb xp) ) 56.82/65.02 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.82/65.02 ( skv_1, skv_2, skv_3, skv_4, skv_5, skv_6 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (not (congruent Xa Xb Xc Xd Xe Xf)) (sameside (ext Xb Xc Xe Xf) Xb Xc)) ) 56.82/65.02 ( xa, xb, xp, xa, xb, (constructAngle xa xb xp xa xb xp) ) 56.82/65.02 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.82/65.02 ( skv_1, skv_2, skv_3, skv_4, skv_5, skv_6 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (not (congruent Xa Xb Xc Xd Xe Xf)) (sameside (ext Xe Xd Xb Xa) Xe Xd)) ) 56.82/65.02 ( xa, xb, xp, xa, xb, (constructAngle xa xb xp xa xb xp) ) 56.82/65.02 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.82/65.02 ( skv_1, skv_2, skv_3, skv_4, skv_5, skv_6 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (sameside (ext Xe Xf Xb Xc) Xe Xf) (not (congruent Xa Xb Xc Xd Xe Xf))) ) 56.82/65.02 ( xa, xb, xp, xa, xb, (constructAngle xa xb xp xa xb xp) ) 56.82/65.02 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.82/65.02 ( skv_1, skv_2, skv_3, skv_4, skv_5, skv_6 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (s_e3 (ext Xb Xa Xe Xd) Xb (ext Xb Xc Xe Xf) (ext Xe Xd Xb Xa) Xe (ext Xe Xf Xb Xc)) (not (congruent Xa Xb Xc Xd Xe Xf))) ) 56.82/65.02 ( xa, xb, xp, xa, xb, (constructAngle xa xb xp xa xb xp) ) 56.82/65.02 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.82/65.02 ( skv_1, skv_2, skv_1, skv_4, skv_5, skv_4 ) 56.82/65.02 ( skv_1, skv_2, skv_3, skv_4, skv_5, skv_6 ) 56.82/65.02 ( skv_3, skv_2, skv_1, skv_6, skv_5, skv_4 ) 56.82/65.02 ( skv_3, skv_2, skv_3, skv_6, skv_5, skv_6 ) 56.82/65.02 ( skv_4, skv_5, skv_4, skv_1, skv_2, skv_1 ) 56.82/65.02 ( skv_4, skv_5, skv_6, skv_1, skv_2, skv_3 ) 56.82/65.02 ( skv_6, skv_5, skv_6, skv_3, skv_2, skv_3 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (s_m U V W)) (not (s_col Xa Xb U)) (not (s_col Xa Xb W)) (s_col Xa Xb V) (= Xa Xb)) ) 56.82/65.02 ( xa, xb, xa, xb, xq ) 56.82/65.02 ( xa, xb, xa, (midpoint xa xb), xb ) 56.82/65.02 ( xa, xb, xc, xd, xc ) 56.82/65.02 ( xa, xq, xa, (midpoint xa xb), xb ) 56.82/65.02 ( xb, xq, xa, xb, xq ) 56.82/65.02 ( xb, xq, xa, xq, xb ) 56.82/65.02 ( xq, xa, xa, xq, xb ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xp1 $$unsorted) (Xq1 $$unsorted) (X $$unsorted)) (or (not (perpAt Xp Xq X Xp1 Xq1)) (perp Xp Xq Xp1 Xq1)) ) 56.82/65.02 ( xa, xb, xa, xb, xq ) 56.82/65.02 ( xc, xd, xa, xb, xb ) 56.82/65.02 ( xc, xd, xa, xb, (il xc xd xa xb) ) 56.82/65.02 ( xc, xd, xp, xq, xq ) 56.82/65.02 ( xc, xd, xp, xq, (il xc xd xp xq) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xp1 $$unsorted) (Xq1 $$unsorted)) (or (perpAt Xp Xq (il Xp Xq Xp1 Xq1) Xp1 Xq1) (not (perp Xp Xq Xp1 Xq1))) ) 56.82/65.02 ( xa, xb, xp, (foot xa xb xp) ) 56.82/65.02 ( xa, xb, xq, (foot xa xb xq) ) 56.82/65.02 ( xa, xb, (erectsameside xa xb xq xp), xq ) 56.82/65.02 ( xa, xb, (erect21a xa xb xp), xa ) 56.82/65.02 ( xa, xb, (erect21a xa xb xq), xa ) 56.82/65.02 ( xc, xd, xa, xb ) 56.82/65.02 ( xc, xd, xp, xq ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xc $$unsorted)) (or (= Xa Xb) (not (s_col Xa Xb Xp)) (not (s_col Xa Xb Xq)) (= Xp Xq) (not (perp Xa Xb Xc Xp)) (not (s_col Xa Xb Xc))) ) 56.82/65.02 ( xa, xb, xa, xb, (erect21a xa xb xp) ) 56.82/65.02 ( xa, xb, xq, xa, (erectsameside xa xb xq xp) ) 56.82/65.02 ( xa, xb, (foot xa xb xq), xq, xq ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xa $$unsorted) (Xb $$unsorted) (Xt $$unsorted)) (or (not (s_col Xp Xq Xt)) (opposite Xa Xp Xq Xb) (not (s_t Xa Xt Xb)) (s_col Xp Xq Xb) (s_col Xp Xq Xa) (= Xp Xq)) ) 56.82/65.02 ( xa, xb, xp, xp, xq ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (or (not (s_col Xp Xq Xa)) (not (opposite Xa Xp Xq Xb))) ) 56.82/65.02 ( xa, xb, xq, (reflect xa xb xq) ) 56.82/65.02 ( xc, xd, (midpoint xp xq), (reflect xc xd (midpoint xp xq)) ) 56.82/65.02 ( xc, xd, (midpoint xa xb), (reflect xc xd (midpoint xa xb)) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xb $$unsorted) (Xa $$unsorted)) (or (not (s_col Xp Xq Xb)) (not (opposite Xa Xp Xq Xb))) ) 56.82/65.02 ( xa, xb, (reflect xa xb xp), xp ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (or (s_col Xp Xq (il Xa Xb Xp Xq)) (not (opposite Xa Xp Xq Xb))) ) 56.82/65.02 ( xa, xb, xp, xp ) 56.82/65.02 ( xa, xb, xp, (reflect xa xb xp) ) 56.82/65.02 ( xa, xb, xc, xd ) 56.82/65.02 ( xp, xq, xc, xd ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xa $$unsorted) (Xb $$unsorted)) (or (s_t Xa (il Xa Xb Xp Xq) Xb) (not (opposite Xa Xp Xq Xb))) ) 56.82/65.02 ( xa, xb, xp, xp ) 56.82/65.02 ( xa, xb, xp, (reflect xa xb xp) ) 56.82/65.02 ( xa, xb, xc, xd ) 56.82/65.02 ( xp, xq, xc, xd ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xp $$unsorted) (Xc1 $$unsorted) (Xc2 $$unsorted)) (or (not (s_e3 Xa Xb Xc Xa1 Xb1 Xc2)) (= Xc1 Xc2) (not (samesideline Xc2 Xp Xa1 Xb1)) (not (samesideline Xc1 Xp Xa1 Xb1)) (not (s_e3 Xa Xb Xc Xa1 Xb1 Xc1)) (not (s_e Xa Xb Xa1 Xb1)) (s_col Xa1 Xb1 Xp) (s_col Xa Xb Xc) (= Xa Xb)) ) 56.82/65.02 ( xa, xb, xp, xa, xb, xp, (constructAngle xa xb xp xa xb xp), (triangle xa xb xp xa xb xp) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (sameside Xa Xp Xb)) (s_t Xp Xa Xb) (s_t Xp Xb Xa)) ) 56.82/65.02 ( beta, gamma, alpha ) 56.82/65.02 ( beta, alpha, gamma ) 56.82/65.02 ( gamma, beta, alpha ) 56.82/65.02 ( gamma, alpha, beta ) 56.82/65.02 ( alpha, beta, gamma ) 56.82/65.02 ( alpha, gamma, beta ) 56.82/65.02 ( xa, xa, xb ) 56.82/65.02 ( xa, xp, xb ) 56.82/65.02 ( xa, xq, xb ) 56.82/65.02 ( xb, xa, xa ) 56.82/65.02 ( xb, xa, xp ) 56.82/65.02 ( xb, xp, xa ) 56.82/65.02 ( xb, xq, xa ) 56.82/65.02 ( xp, xa, xb ) 56.82/65.02 ( xp, xb, xa ) 56.82/65.02 ( xq, xb, xa ) 56.82/65.02 ( skv_1, skv_2, skv_2 ) 56.82/65.02 ( skv_2, skv_2, skv_1 ) 56.82/65.02 ( skv_2, skv_2, skv_3 ) 56.82/65.02 ( skv_3, skv_2, skv_2 ) 56.82/65.02 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, skv_1 ) 56.82/65.02 ( (ext skv_2 skv_3 skv_5 skv_6), skv_2, skv_3 ) 56.82/65.02 ( (ext skv_5 skv_4 skv_2 skv_1), skv_5, skv_4 ) 56.82/65.02 ( (ext skv_5 skv_6 skv_2 skv_3), skv_5, skv_6 ) 56.82/65.02 ( (erect21a xa xb xq), xq, (erectAux21a xa xb xq) ) 56.82/65.02 ( (erectAux21a xa xb xq), xq, (erect21a xa xb xq) ) 56.82/65.02 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_2 ) 56.82/65.02 ( (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_5 ) 56.82/65.02 ( (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_3 ) 56.82/65.02 ( (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_6 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (s_t Xp Xa Xb)) (sameside Xa Xp Xb) (= xb Xp) (= Xa Xp)) ) 56.82/65.02 ( xb, xa, xq ) 56.82/65.02 ( (erectAux21a xa xb xp), xp, (erect21a xa xb xp) ) 56.82/65.02 ( (erectAux21a xa xb xq), xq, (erect21a xa xb xq) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (sameside Xa Xp Xb) (= Xp Xb) (= Xa Xp) (not (s_t Xp Xb Xa))) ) 56.82/65.02 ( xa, xq, xb ) 56.82/65.02 ( xq, xa, xb ) 56.82/65.02 ( (erect21a xa xb xp), xp, (erectAux21a xa xb xp) ) 56.82/65.02 ( (erect21a xa xb xq), xq, (erectAux21a xa xb xq) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (= Xa Xb) (not (s_col Xa Xb Xd)) (perpAt Xa Xb Xd Xc Xd) (not (perp Xa Xb Xc Xd))) ) 56.82/65.02 ( xa, xb, xa, (erect21a xa xb xp) ) 56.82/65.02 ( xa, xb, xa, (erect21a xa xb xq) ) 56.82/65.02 ( xa, xb, xq, (erectsameside xa xb xq xp) ) 56.82/65.02 ( xa, xb, (foot xa xb xp), xp ) 56.82/65.02 ( xa, xb, (foot xa xb xq), xq ) 56.82/65.02 ( xc, xd, xb, xa ) 56.82/65.02 ( xc, xd, xq, xp ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xp Xq) (not (s_t Xq Xp Xr)) (= Xp Xa) (sameside Xa Xp Xr) (sameside Xa Xp Xq) (not (s_col Xa Xp Xq)) (= Xp Xr)) ) 56.82/65.02 ( xb, xa, xq, xa ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted)) (or (not (s_col Xp Xq Xa)) (not (s_col Xp Xq Xr)) (s_col Xa Xb Xr) (not (s_col Xp Xq Xb)) (= Xp Xq) (= Xa Xb)) ) 56.82/65.02 ( xa, xb, xa, xb, xq ) 56.82/65.02 ( xa, xp, xq, xa, xb ) 56.82/65.02 ( xb, xp, xb, xq, xa ) 56.82/65.02 ( xp, xb, xq, xb, xa ) 56.82/65.02 ( xc, xd, xa, xb, xa ) 56.82/65.02 ( xc, xd, xa, xb, xq ) 56.82/65.02 ( xc, xd, xa, xq, xb ) 56.82/65.02 ( xc, xd, xc, xd, (midpoint xp xq) ) 56.82/65.02 ( xc, xd, xc, xd, (midpoint xa xb) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xc $$unsorted) (Xb $$unsorted) (Xc1 $$unsorted)) (or (not (s_e Xa Xc Xa Xc1)) (not (s_e Xb Xc Xb Xc1)) (= Xc Xc1) (not (s_t Xa Xc Xb))) ) 56.82/65.02 ( xb, xa, xb, xq ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted)) (or (opposite Xp Xa Xb (reflect Xa Xb Xp)) (s_col Xa Xb Xp) (= Xa Xb)) ) 56.82/65.02 ( beta, gamma, alpha ) 56.82/65.02 ( gamma, alpha, beta ) 56.82/65.02 ( alpha, beta, gamma ) 56.82/65.02 ( xa, xb, xp ) 56.82/65.02 ( xa, xb, xq ) 56.82/65.02 ( xa, xp, xb ) 56.82/65.02 ( xb, xa, xp ) 56.82/65.02 ( xb, xp, xa ) 56.82/65.02 ( xp, xa, xb ) 56.82/65.02 ( xp, xb, xa ) 56.82/65.02 ( xc, xd, xa ) 56.82/65.02 ( xc, xd, xb ) 56.82/65.02 ( xc, xd, xp ) 56.82/65.02 ( xc, xd, xq ) 56.82/65.02 ( xc, xd, (midpoint xp xq) ) 56.82/65.02 ( xc, xd, (midpoint xa xb) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (= Xp (c63 Xa Xp Xb))) (not (sameside Xa Xp Xb))) ) 56.82/65.02 ( xa, xq, xb ) 56.82/65.02 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, skv_1 ) 56.82/65.02 ( (ext skv_2 skv_3 skv_5 skv_6), skv_2, skv_3 ) 56.82/65.02 ( (ext skv_5 skv_4 skv_2 skv_1), skv_5, skv_4 ) 56.82/65.02 ( (ext skv_5 skv_6 skv_2 skv_3), skv_5, skv_6 ) 56.82/65.02 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_2 ) 56.82/65.02 ( (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_5 ) 56.82/65.02 ( (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_3 ) 56.82/65.02 ( (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_6 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (s_t Xa Xp (c63 Xa Xp Xb)) (not (sameside Xa Xp Xb))) ) 56.82/65.02 ( xa, xq, xb ) 56.82/65.02 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, skv_1 ) 56.82/65.02 ( (ext skv_2 skv_3 skv_5 skv_6), skv_2, skv_3 ) 56.82/65.02 ( (ext skv_5 skv_4 skv_2 skv_1), skv_5, skv_4 ) 56.82/65.02 ( (ext skv_5 skv_6 skv_2 skv_3), skv_5, skv_6 ) 56.82/65.02 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_2 ) 56.82/65.02 ( (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_5 ) 56.82/65.02 ( (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_3 ) 56.82/65.02 ( (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_6 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (sameside Xa Xp Xb)) (s_t Xb Xp (c63 Xa Xp Xb))) ) 56.82/65.02 ( xa, xq, xb ) 56.82/65.02 ( (ext skv_2 skv_1 skv_5 skv_4), skv_2, skv_1 ) 56.82/65.02 ( (ext skv_2 skv_3 skv_5 skv_6), skv_2, skv_3 ) 56.82/65.02 ( (ext skv_5 skv_4 skv_2 skv_1), skv_5, skv_4 ) 56.82/65.02 ( (ext skv_5 skv_6 skv_2 skv_3), skv_5, skv_6 ) 56.82/65.02 ( (f113a skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_2 ) 56.82/65.02 ( (f113d skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_5 ) 56.82/65.02 ( (f113c skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_1, skv_3 ) 56.82/65.02 ( (f113f skv_2 skv_1 skv_3 skv_5 skv_4 skv_6), skv_4, skv_6 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xr Xa) (not (s_t Xq Xa Xr)) (s_col Xa Xa Xq) (= Xq Xa)) ) 56.82/65.02 ( xa, xq, xb ) 56.82/65.02 ( xp, (erect21a xa xb xp), (erectAux21a xa xb xp) ) 56.82/65.02 ( xq, (erect21a xa xb xq), (erectAux21a xa xb xq) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_r Xa Xb Xc)) (= Xa Xb) (= Xb Xc) (not (s_col Xa Xb Xc))) ) 56.82/65.02 ( xa, xb, xa ) 56.82/65.02 ( xa, xb, xq ) 56.82/65.02 ( xa, xq, xb ) 56.82/65.02 ( xb, xa, xq ) 56.82/65.02 ( xb, xq, xa ) 56.82/65.02 ( xc, xd, (midpoint xp xq) ) 56.82/65.02 ( xc, xd, (midpoint xa xb) ) 56.82/65.02 ( xq, xa, xb ) 56.82/65.02 ( xq, xb, xa ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (not (s_m Xa Xm Xb)) (s_t Xa Xm Xb)) ) 56.82/65.02 ( beta, gamma, alpha ) 56.82/65.02 ( beta, alpha, gamma ) 56.82/65.02 ( gamma, beta, alpha ) 56.82/65.02 ( gamma, alpha, beta ) 56.82/65.02 ( alpha, beta, gamma ) 56.82/65.02 ( alpha, gamma, beta ) 56.82/65.02 ( xa, xb, xa ) 56.82/65.02 ( xa, xb, xp ) 56.82/65.02 ( xb, xp, xa ) 56.82/65.02 ( xb, xq, xa ) 56.82/65.02 ( xp, xa, xb ) 56.82/65.02 ( xq, xa, xb ) 56.82/65.02 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.82/65.02 ( skv_2, skv_2, skv_1 ) 56.82/65.02 ( skv_2, skv_2, skv_3 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (s_e Xm Xa Xm Xb) (not (s_m Xa Xm Xb))) ) 56.82/65.02 ( xa, xb, xq ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (not (s_e Xm Xa Xm Xb)) (s_m Xa Xm Xb) (not (s_t Xa Xm Xb))) ) 56.82/65.02 ( xb, xa, xb ) 56.82/65.02 ( xp, (erectAux21a xa xb xp), (erect21a xa xb xp) ) 56.82/65.02 ( xq, (erectAux21a xa xb xq), (erect21a xa xb xq) ) 56.82/65.02 ( skv_2, skv_2, skv_1 ) 56.82/65.02 ( skv_2, skv_2, skv_3 ) 56.82/65.02 ( skv_4, skv_5, skv_4 ) 56.82/65.02 ( skv_5, skv_5, skv_4 ) 56.82/65.02 ( skv_5, skv_5, skv_6 ) 56.82/65.02 ( skv_6, skv_5, skv_6 ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (s_col Xa Xb Xc) (s_col Xa Xb (foot Xa Xb Xc))) ) 56.82/65.02 ( xa, xb, xp ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (perp Xa Xb Xc (foot Xa Xb Xc)) (s_col Xa Xb Xc)) ) 56.82/65.02 ( beta, gamma, alpha ) 56.82/65.02 ( gamma, alpha, beta ) 56.82/65.02 ( alpha, beta, gamma ) 56.82/65.02 ( xa, xa, xq ) 56.82/65.02 ( xa, xb, xp ) 56.82/65.02 ( xa, xb, xq ) 56.82/65.02 ( xa, xp, xb ) 56.82/65.02 ( xb, xa, xp ) 56.82/65.02 ( xb, xp, xa ) 56.82/65.02 ( xp, xa, xb ) 56.82/65.02 ( xp, xb, xa ) 56.82/65.02 ( xc, xd, xa ) 56.82/65.02 ( xc, xd, xb ) 56.82/65.02 ( xc, xd, xp ) 56.82/65.02 ( xc, xd, xq ) 56.82/65.02 ( xc, xd, (midpoint xp xq) ) 56.82/65.02 ( xc, xd, (midpoint xa xb) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xa Xb) (s_col Xa Xb Xc) (perp Xa Xb (erect21a Xa Xb Xc) Xa)) ) 56.82/65.02 ( beta, gamma, alpha ) 56.82/65.02 ( gamma, alpha, beta ) 56.82/65.02 ( alpha, beta, gamma ) 56.82/65.02 ( xa, xb, xp ) 56.82/65.02 ( xa, xb, xq ) 56.82/65.02 ( xa, xp, xb ) 56.82/65.02 ( xb, xa, xp ) 56.82/65.02 ( xb, xp, xa ) 56.82/65.02 ( xp, xa, xb ) 56.82/65.02 ( xp, xb, xa ) 56.82/65.02 ( xc, xd, xa ) 56.82/65.02 ( xc, xd, xb ) 56.82/65.02 ( xc, xd, xp ) 56.82/65.02 ( xc, xd, xq ) 56.82/65.02 ( xc, xd, (midpoint xp xq) ) 56.82/65.02 ( xc, xd, (midpoint xa xb) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xa Xb) (s_col Xa Xb Xc) (s_t Xc (erectAux21a Xa Xb Xc) (erect21a Xa Xb Xc))) ) 56.82/65.02 ( beta, gamma, alpha ) 56.82/65.02 ( gamma, alpha, beta ) 56.82/65.02 ( alpha, beta, gamma ) 56.82/65.02 ( xa, xb, xp ) 56.82/65.02 ( xa, xb, xq ) 56.82/65.02 ( xa, xp, xb ) 56.82/65.02 ( xb, xa, xp ) 56.82/65.02 ( xb, xp, xa ) 56.82/65.02 ( xp, xa, xb ) 56.82/65.02 ( xp, xb, xa ) 56.82/65.02 ( xc, xd, xa ) 56.82/65.02 ( xc, xd, xb ) 56.82/65.02 ( xc, xd, xp ) 56.82/65.02 ( xc, xd, xq ) 56.82/65.02 ( xc, xd, (midpoint xp xq) ) 56.82/65.02 ( xc, xd, (midpoint xa xb) ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xa Xb) (s_col Xa Xb (erectAux21a Xa Xb Xc)) (s_col Xa Xb Xc)) ) 56.82/65.02 ( xa, xb, xp ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xp1 $$unsorted)) (or (= Xa Xb) (not (perp Xa Xb Xp Xp1)) (= Xp1 (reflect Xa Xb Xp)) (not (s_col Xa Xb (midpoint Xp Xp1)))) ) 56.82/65.02 ( xa, xb, xp, xq ) 56.82/65.02 ( xa, xb, xp, (foot xa xb xp) ) 56.82/65.02 ( xa, xb, xq, (foot xa xb xq) ) 56.82/65.02 ( xa, xb, (erectsameside xa xb xq xp), xq ) 56.82/65.02 ( xa, xb, (erect21a xa xb xp), xa ) 56.82/65.02 ( xa, xb, (erect21a xa xb xq), xa ) 56.82/65.02 ( xc, xd, xa, xb ) 56.82/65.02 ( xc, xd, xp, xq ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp1 $$unsorted)) (or (not (s_col Xa Xb (midpoint Xp1 Xp1))) (= Xp1 (reflect Xa Xb Xp1)) (= Xa Xb)) ) 56.82/65.02 ( xa, xb, xp ) 56.82/65.02 ( xc, xd, xa ) 56.82/65.02 ( xc, xd, xp ) 56.82/65.02 ) 56.82/65.02 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Za $$unsorted) (Zb $$unsorted) (Zc $$unsorted) (Zd $$unsorted)) (or (not (s_t Xa Xb Xc)) (not (s_e Xa Xc Za Zc)) (not (s_e Xb Xc Zb Zc)) (s_ifs Xa Xb Xc Xd Za Zb Zc Zd) (not (s_e Xc Xd Zc Zd)) (not (s_e Xa Xd Za Zd)) (not (s_t Za Zb Zc))) ) 56.82/65.02 ( xa, xa, xa, xa, xq, xq, xq, xq ) 56.82/65.02 ( xa, xa, xb, xa, xa, xa, xb, xq ) 56.82/65.03 ( xb, xb, xa, xq, xb, xb, xq, xa ) 56.82/65.03 ( skv_1, skv_1, skv_1, skv_1, skv_4, skv_4, skv_4, skv_4 ) 56.82/65.03 ( skv_1, skv_1, skv_2, skv_1, skv_4, skv_4, skv_5, skv_4 ) 56.82/65.03 ( skv_1, skv_1, skv_2, skv_1, skv_5, skv_5, skv_4, skv_5 ) 56.82/65.03 ( skv_1, skv_1, skv_3, skv_2, skv_4, skv_4, skv_6, skv_5 ) 56.82/65.03 ( skv_2, skv_2, skv_1, skv_2, skv_4, skv_4, skv_5, skv_4 ) 56.82/65.03 ( skv_2, skv_2, skv_1, skv_3, skv_5, skv_5, skv_4, skv_6 ) 56.82/65.03 ( skv_2, skv_2, skv_2, skv_3, skv_5, skv_5, skv_5, skv_6 ) 56.82/65.03 ( skv_2, skv_2, skv_3, skv_2, skv_6, skv_6, skv_5, skv_6 ) 56.82/65.03 ( skv_2, skv_2, skv_3, skv_3, skv_5, skv_5, skv_6, skv_6 ) 56.82/65.03 ( skv_3, skv_3, skv_2, skv_2, skv_6, skv_6, skv_5, skv_5 ) 56.82/65.03 ( skv_3, skv_3, skv_2, skv_3, skv_5, skv_5, skv_6, skv_5 ) 56.82/65.03 ) 56.82/65.03 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (= Xb Xc) (= Xd Xe) (congruent Xa Xb Xc Xd Xe Xf) (sameside (f113a Xa Xb Xc Xd Xe Xf) Xb Xa) (= Xe Xf) (= Xa Xb)) ) 56.82/65.03 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.82/65.03 ( skv_1, skv_2, skv_1, skv_4, skv_5, skv_4 ) 56.82/65.03 ( skv_2, skv_1, skv_3, skv_5, skv_4, skv_6 ) 56.82/65.03 ( skv_3, skv_2, skv_3, skv_6, skv_5, skv_6 ) 56.82/65.03 ( skv_5, skv_4, skv_6, skv_2, skv_1, skv_3 ) 56.82/65.03 ) 56.82/65.03 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (= Xa Xb) (sameside (f113d Xa Xb Xc Xd Xe Xf) Xe Xd) (congruent Xa Xb Xc Xd Xe Xf) (= Xe Xf) (= Xd Xe) (= Xb Xc)) ) 56.82/65.03 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.82/65.03 ( skv_1, skv_2, skv_1, skv_4, skv_5, skv_4 ) 56.82/65.03 ( skv_2, skv_1, skv_3, skv_5, skv_4, skv_6 ) 56.82/65.03 ( skv_3, skv_2, skv_3, skv_6, skv_5, skv_6 ) 56.82/65.03 ( skv_5, skv_4, skv_6, skv_2, skv_1, skv_3 ) 56.82/65.03 ) 56.82/65.03 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (s_e Xb (f113c Xa Xb Xc Xd Xe Xf) Xe (f113f Xa Xb Xc Xd Xe Xf)) (congruent Xa Xb Xc Xd Xe Xf) (= Xe Xf) (= Xd Xe) (= Xb Xc) (= Xa Xb)) ) 56.82/65.03 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.82/65.03 ( skv_1, skv_2, skv_1, skv_4, skv_5, skv_4 ) 56.82/65.03 ( skv_2, skv_1, skv_3, skv_5, skv_4, skv_6 ) 56.82/65.03 ( skv_3, skv_2, skv_3, skv_6, skv_5, skv_6 ) 56.82/65.03 ( skv_5, skv_4, skv_6, skv_2, skv_1, skv_3 ) 56.82/65.03 ) 56.82/65.03 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (= Xd Xe) (= Xe Xf) (congruent Xa Xb Xc Xd Xe Xf) (not (s_e (f113a Xa Xb Xc Xd Xe Xf) (f113c Xa Xb Xc Xd Xe Xf) (f113d Xa Xb Xc Xd Xe Xf) (f113f Xa Xb Xc Xd Xe Xf))) (= Xb Xc) (= Xa Xb)) ) 56.82/65.03 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.82/65.03 ( skv_1, skv_2, skv_1, skv_4, skv_5, skv_4 ) 56.82/65.03 ( skv_2, skv_1, skv_3, skv_5, skv_4, skv_6 ) 56.82/65.03 ( skv_3, skv_2, skv_3, skv_6, skv_5, skv_6 ) 56.82/65.03 ( skv_5, skv_4, skv_6, skv_2, skv_1, skv_3 ) 56.82/65.03 ) 56.82/65.03 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (= Xd Xe) (= Xe Xf) (congruent Xa Xb Xc Xd Xe Xf) (s_e Xb (f113a Xa Xb Xc Xd Xe Xf) Xe (f113d Xa Xb Xc Xd Xe Xf)) (= Xb Xc) (= Xa Xb)) ) 56.82/65.03 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.82/65.03 ( skv_1, skv_2, skv_1, skv_4, skv_5, skv_4 ) 56.82/65.03 ( skv_2, skv_1, skv_3, skv_5, skv_4, skv_6 ) 56.82/65.03 ( skv_3, skv_2, skv_3, skv_6, skv_5, skv_6 ) 56.82/65.03 ( skv_5, skv_4, skv_6, skv_2, skv_1, skv_3 ) 56.82/65.03 ) 56.82/65.03 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (= Xa Xb) (congruent Xa Xb Xc Xd Xe Xf) (sameside (f113f Xa Xb Xc Xd Xe Xf) Xe Xf) (= Xe Xf) (= Xd Xe) (= Xb Xc)) ) 56.82/65.03 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.82/65.03 ( skv_1, skv_2, skv_1, skv_4, skv_5, skv_4 ) 56.82/65.03 ( skv_2, skv_1, skv_3, skv_5, skv_4, skv_6 ) 56.82/65.03 ( skv_3, skv_2, skv_3, skv_6, skv_5, skv_6 ) 56.82/65.03 ( skv_5, skv_4, skv_6, skv_2, skv_1, skv_3 ) 56.82/65.03 ) 56.82/65.03 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (congruent Xa Xb Xc Xd Xe Xf) (sameside (f113c Xa Xb Xc Xd Xe Xf) Xb Xc) (= Xe Xf) (= Xd Xe) (= Xb Xc) (= Xa Xb)) ) 56.82/65.03 ( xa, xb, xq, xa, xb, (constructAngle xa xb xq xa xb xq) ) 56.82/65.03 ( skv_1, skv_2, skv_1, skv_4, skv_5, skv_4 ) 56.82/65.03 ( skv_2, skv_1, skv_3, skv_5, skv_4, skv_6 ) 56.82/65.03 ( skv_3, skv_2, skv_3, skv_6, skv_5, skv_6 ) 56.82/65.03 ( skv_5, skv_4, skv_6, skv_2, skv_1, skv_3 ) 56.82/65.03 ) 56.82/65.03 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (= Xp Xq) (not (= (reflect Xa Xb Xq) (reflect Xa Xb Xp))) (= Xa Xb)) ) 56.82/65.03 ( xa, xb, xp, xq ) 56.82/65.03 ( xa, xb, xq, xp ) 56.82/65.03 ( xc, xd, xa, xp ) 56.82/65.03 ( xc, xd, xp, xa ) 56.82/65.03 ) 56.82/65.03 % SZS output end Proof for theBenchmark 56.82/65.04 EOF