0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.02/0.23 % Computer : n025.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 04:24:09 CDT 2018 0.02/0.23 % CPUTime : 0.02/0.27 %----Proving without arithmetic mode 0.02/0.27 ------- cvc4-fof casc j9 : /export/starexec/sandbox/benchmark/theBenchmark.p at ... 0.02/0.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 0.06/0.33 % SZS status Theorem for theBenchmark 0.06/0.33 % SZS output start Proof for theBenchmark 0.06/0.33 (skolem (forall ((Xa $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (= (s Xa Xp) (s Xa Xq))) (= Xp Xq)) ) 0.06/0.33 ( skv_1 skv_2 skv_3 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted) (Y1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (V $$unsorted) (V1 $$unsorted)) (or (not (s_e Y Z Y1 Z1)) (not (s_e Y V Y1 V1)) (not (s_t X Y Z)) (not (s_t X1 Y1 Z1)) (= X Y) (s_e Z V Z1 V1) (not (s_e X V X1 V1)) (not (s_e X Y X1 Y1))) ) 0.06/0.33 ( skv_2, skv_1, skv_2, skv_1, (s skv_1 skv_2), (s skv_1 skv_2), skv_2, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, skv_3, skv_1, (s skv_1 skv_3), (s skv_1 skv_3), skv_3, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (Z2 $$unsorted) (V2 $$unsorted)) (or (not (s_e X Y Z V)) (not (s_e X Y Z2 V2)) (s_e Z V Z2 V2)) ) 0.06/0.33 ( skv_1, skv_2, skv_1, (s skv_1 skv_2), skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_1, skv_3, skv_1, (s skv_1 skv_3), skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (s_e Xa Xb Xc Xd)) (s_e Xa Xb Xd Xc)) ) 0.06/0.33 ( beta, alpha, gamma, beta ) 0.06/0.33 ( gamma, beta, alpha, gamma ) 0.06/0.33 ( alpha, gamma, beta, alpha ) 0.06/0.33 ( skv_1, skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_1, skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (le Xc Xd Xa Xb) (le Xa Xb Xc Xd)) ) 0.06/0.33 ( beta, gamma, beta, alpha ) 0.06/0.33 ( beta, gamma, alpha, gamma ) 0.06/0.33 ( beta, alpha, beta, gamma ) 0.06/0.33 ( beta, alpha, gamma, alpha ) 0.06/0.33 ( gamma, beta, gamma, alpha ) 0.06/0.33 ( gamma, beta, alpha, beta ) 0.06/0.33 ( gamma, alpha, beta, alpha ) 0.06/0.33 ( gamma, alpha, gamma, beta ) 0.06/0.33 ( alpha, beta, gamma, beta ) 0.06/0.33 ( alpha, beta, alpha, gamma ) 0.06/0.33 ( alpha, gamma, beta, gamma ) 0.06/0.33 ( alpha, gamma, alpha, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted)) (or (= Xp Xq) (not (s_col Xp Xq Xr)) (s_col Xq Xp Xr)) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ) 0.06/0.33 (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)) ) 0.06/0.33 ( beta, gamma, beta, alpha ) 0.06/0.33 ( beta, gamma, alpha, gamma ) 0.06/0.33 ( beta, alpha, beta, gamma ) 0.06/0.33 ( beta, alpha, gamma, alpha ) 0.06/0.33 ( gamma, beta, gamma, alpha ) 0.06/0.33 ( gamma, beta, alpha, beta ) 0.06/0.33 ( gamma, alpha, beta, alpha ) 0.06/0.33 ( gamma, alpha, gamma, beta ) 0.06/0.33 ( alpha, beta, gamma, beta ) 0.06/0.33 ( alpha, beta, alpha, gamma ) 0.06/0.33 ( alpha, gamma, beta, gamma ) 0.06/0.33 ( alpha, gamma, alpha, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (s_e Xc Xd Xa Xb) (not (s_e Xa Xb Xc Xd))) ) 0.06/0.33 ( beta, gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, gamma, beta ) 0.06/0.33 ( alpha, beta, alpha, gamma ) 0.06/0.33 ( skv_1, skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_1, skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_col Xa Xb Xc)) (s_col Xa Xc Xb)) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (or (not (s_e Xa Xb Xa1 Xb1)) (le Xa1 Xb1 Xc1 Xd1) (not (s_e Xc Xd Xc1 Xd1)) (not (le Xa Xb Xc Xd))) ) 0.06/0.33 ( skv_1, skv_2, skv_1, skv_2, skv_1, (s skv_1 skv_2), skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_1, skv_3, skv_1, skv_3, skv_1, (s skv_1 skv_3), skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_col Xa Xb Xc)) (not (s_t Xa Xb Xc)) (le Xa Xb Xa Xc)) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_col Xa Xb Xc)) (le Xb Xc Xa Xc) (not (s_t Xa Xb Xc))) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (s_t Xa Xb Xc) (not (le Xa Xb Xa Xc)) (not (le Xb Xc Xa Xc)) (not (s_col Xa Xb Xc))) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (s_col Xc Xa Xb) (not (s_col Xa Xb Xc))) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (s_e Xa Xb Xc Xd)) (s_e Xb Xa Xc Xd)) ) 0.06/0.33 ( beta, gamma, gamma, alpha ) 0.06/0.33 ( gamma, alpha, alpha, beta ) 0.06/0.33 ( alpha, beta, beta, gamma ) 0.06/0.33 ( skv_1, skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_1, skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (s_col Xb Xc Xa) (not (s_col Xa Xb Xc))) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (s_t Xp Xa Xb) (not (le Xp Xa Xp Xb)) (not (sameside Xa Xp Xb))) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_t Xb Xa Xc)) (= Xa Xb) (not (s_t Xa Xb Xc))) ) 0.06/0.33 ( skv_1, skv_2, (s skv_1 skv_2) ) 0.06/0.33 ( skv_1, skv_3, (s skv_1 skv_3) ) 0.06/0.33 ( skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xb Xc) (not (s_e Xa Xc Xa Xb)) (not (s_t Xa Xb Xc))) ) 0.06/0.33 ( skv_1, (s skv_1 skv_2), skv_2 ) 0.06/0.33 ( skv_1, (s skv_1 skv_3), skv_3 ) 0.06/0.33 ( skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (s_t Xc Xb Xa) (not (s_t Xa Xb Xc))) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ( skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_col Xa Xb Xc)) (s_col Xc Xb Xa)) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (s_e Xa Xb Xc Xd)) (s_e Xb Xa Xd Xc)) ) 0.06/0.33 ( beta, gamma, alpha, gamma ) 0.06/0.33 ( gamma, alpha, beta, alpha ) 0.06/0.33 ( alpha, beta, gamma, beta ) 0.06/0.33 ( skv_1, skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_1, skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xp $$unsorted) (Xa $$unsorted)) (s_m Xp Xa (s Xa Xp)) ) 0.06/0.33 ( skv_2, skv_1 ) 0.06/0.33 ( skv_3, skv_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (s_m Xb Xm Xa) (not (s_m Xa Xm Xb))) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ( skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ( (s skv_1 skv_2), skv_1, skv_2 ) 0.06/0.33 ( (s skv_1 skv_3), skv_1, skv_3 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (s_col Xa Xp Xb)) (s_t Xa Xp Xb) (sameside Xa Xp Xb)) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (sameside Xa Xp Xb)) (sameside Xb Xp Xa)) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (s_t Xp Xa Xb)) (le Xp Xa Xp Xb) (not (sameside Xa Xp Xb))) ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ( skv_1, skv_2, (s skv_1 skv_2) ) 0.06/0.33 ( skv_1, skv_3, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_col Xa Xb Xc)) (s_col Xb Xa Xc)) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ) 0.06/0.33 (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))) ) 0.06/0.33 ( skv_1, skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_1, skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (= Xp Xb) (sameside Xa Xp Xb) (= Xa Xp) (not (s_t Xp Xb Xa))) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ( (s skv_1 skv_2), skv_2, skv_1 ) 0.06/0.33 ( (s skv_1 skv_3), skv_3, skv_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (= Xp xb) (sameside Xa Xp Xb) (= Xa Xp) (not (s_t Xp Xa Xb))) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ( skv_1, skv_2, (s skv_1 skv_2) ) 0.06/0.33 ( skv_1, skv_3, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (sameside Xa Xp Xb)) (s_t Xp Xa Xb) (s_t Xp Xb Xa)) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (s_col Xa Xp Xb) (not (sameside Xa Xp Xb))) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (sameside Xa Xp Xb)) (not (s_t Xa Xp Xb))) ) 0.06/0.33 ( skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xq Xa) (= Xr Xa) (not (s_t Xq Xa Xr)) (s_col Xa Xa Xq)) ) 0.06/0.33 ( skv_2, (s skv_1 skv_2), skv_1 ) 0.06/0.33 ( skv_3, (s skv_1 skv_3), skv_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_t Xc Xa Xb)) (s_col Xa Xb Xc)) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ( skv_1, (s skv_1 skv_2), skv_2 ) 0.06/0.33 ( skv_1, (s skv_1 skv_3), skv_3 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_t Xb Xc Xa)) (s_col Xa Xb Xc)) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ( (s skv_1 skv_2), skv_2, skv_1 ) 0.06/0.33 ( (s skv_1 skv_3), skv_3, skv_1 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_t Xa Xb Xc)) (s_col Xa Xb Xc)) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ( skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (s_col Xa Xb Xc)) (s_t Xb Xc Xa) (s_t Xc Xa Xb) (s_t Xa Xb Xc)) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (s_e Xm Xa Xm Xb) (not (s_m Xa Xm Xb))) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ( (s skv_1 skv_2), skv_1, skv_2 ) 0.06/0.33 ( (s skv_1 skv_3), skv_1, skv_3 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (not (s_t Xa Xm Xb)) (s_m Xa Xm Xb) (not (s_e Xm Xa Xm Xb))) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ( skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (not (s_m Xa Xm Xb)) (s_t Xa Xm Xb)) ) 0.06/0.33 ( beta, gamma, alpha ) 0.06/0.33 ( beta, alpha, gamma ) 0.06/0.33 ( gamma, beta, alpha ) 0.06/0.33 ( gamma, alpha, beta ) 0.06/0.33 ( alpha, beta, gamma ) 0.06/0.33 ( alpha, gamma, beta ) 0.06/0.33 ( skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ( (s skv_1 skv_2), skv_1, skv_2 ) 0.06/0.33 ( (s skv_1 skv_3), skv_1, skv_3 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xp $$unsorted) (Xa $$unsorted) (Xr $$unsorted) (Xq $$unsorted)) (or (not (s_m Xp Xa Xq)) (= Xr Xq) (not (s_m Xp Xa Xr))) ) 0.06/0.33 ( skv_2, skv_1, (s skv_1 skv_2), (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, (s skv_1 skv_3), (s skv_1 skv_3) ) 0.06/0.33 ( (s skv_1 skv_2), skv_1, skv_2, skv_2 ) 0.06/0.33 ( (s skv_1 skv_2), skv_1, skv_3, skv_2 ) 0.06/0.33 ( (s skv_1 skv_3), skv_1, skv_2, skv_3 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xp $$unsorted) (Xa $$unsorted) (Xq $$unsorted)) (or (not (s_m Xp Xa Xq)) (= Xq (s Xa Xp))) ) 0.06/0.33 ( skv_2, skv_1, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, (s skv_1 skv_3) ) 0.06/0.33 ( (s skv_1 skv_2), skv_1, skv_2 ) 0.06/0.33 ( (s skv_1 skv_3), skv_1, skv_3 ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xp Xb) (not (s_t Xb Xp Xc)) (not (s_t Xa Xp Xc)) (= Xp Xc) (= Xa Xp) (sameside Xa Xp Xb)) ) 0.06/0.33 ( skv_2, skv_1, skv_2, (s skv_1 skv_2) ) 0.06/0.33 ( skv_3, skv_1, skv_3, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xc1 $$unsorted)) (or (= Xc Xc1) (not (s_e Xb Xc Xb Xc1)) (not (s_e Xa Xc Xa Xc1)) (not (s_col Xa Xb Xc)) (= Xa Xb)) ) 0.06/0.33 ( skv_1, skv_1, skv_2, (s skv_1 skv_2) ) 0.06/0.33 ( skv_1, skv_1, skv_3, (s skv_1 skv_3) ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (s_t Xa Xb (ins Xc Xd Xa Xb)) (not (le Xa Xb Xc Xd))) ) 0.06/0.33 ( beta, alpha, beta, gamma ) 0.06/0.33 ( beta, alpha, gamma, alpha ) 0.06/0.33 ( gamma, beta, gamma, alpha ) 0.06/0.33 ( gamma, beta, alpha, beta ) 0.06/0.33 ( alpha, gamma, beta, gamma ) 0.06/0.33 ( alpha, gamma, alpha, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (= (ins Xc Xd Xa Xb) (ext Xa Xb (insert Xa Xb Xc Xd) Xd)) (not (le Xa Xb Xc Xd))) ) 0.06/0.33 ( beta, alpha, beta, gamma ) 0.06/0.33 ( beta, alpha, gamma, alpha ) 0.06/0.33 ( gamma, beta, gamma, alpha ) 0.06/0.33 ( gamma, beta, alpha, beta ) 0.06/0.33 ( alpha, gamma, beta, gamma ) 0.06/0.33 ( alpha, gamma, alpha, beta ) 0.06/0.33 ) 0.06/0.33 (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))) ) 0.06/0.33 ( beta, alpha, beta, gamma ) 0.06/0.33 ( beta, alpha, gamma, alpha ) 0.06/0.33 ( gamma, beta, gamma, alpha ) 0.06/0.33 ( gamma, beta, alpha, beta ) 0.06/0.33 ( alpha, gamma, beta, gamma ) 0.06/0.33 ( alpha, gamma, alpha, beta ) 0.06/0.33 ) 0.06/0.33 (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))) ) 0.06/0.33 ( beta, alpha, beta, gamma ) 0.06/0.33 ( beta, alpha, gamma, alpha ) 0.06/0.33 ( gamma, beta, gamma, alpha ) 0.06/0.33 ( gamma, beta, alpha, beta ) 0.06/0.33 ( alpha, gamma, beta, gamma ) 0.06/0.33 ( alpha, gamma, alpha, beta ) 0.06/0.33 ) 0.06/0.33 (instantiation (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (le Xa Xb Xc Xd)) (s_e Xa Xb Xc (insert Xa Xb Xc Xd))) ) 0.06/0.33 ( beta, alpha, beta, gamma ) 0.06/0.33 ( beta, alpha, gamma, alpha ) 0.06/0.33 ( gamma, beta, gamma, alpha ) 0.06/0.33 ( gamma, beta, alpha, beta ) 0.06/0.33 ( alpha, gamma, beta, gamma ) 0.06/0.33 ( alpha, gamma, alpha, beta ) 0.06/0.33 ) 0.06/0.33 % SZS output end Proof for theBenchmark 0.06/0.38 EOF