0.09/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.13 % Command : do_CVC4 %s %d 0.12/0.33 % Computer : n013.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Thu Jul 2 06:42:03 EDT 2020 0.12/0.33 % CPUTime : 0.17/0.44 %----Proving TF0_NAR, FOF, or CNF 0.17/0.45 ------- cvc4-fof casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.17/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 20.30/20.59 --- Run --no-e-matching --full-saturate-quant at 20... 40.34/40.62 --- Run --finite-model-find --uf-ss=no-minimal at 15... 47.72/47.99 % SZS status Theorem for theBenchmark 47.72/47.99 % SZS output start Proof for theBenchmark 47.72/47.99 (skolem (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (distinct_points A C)) (not (distinct_points B C)) (not (distinct_points A B)) (not (line L)) (not (between_on_line L A B C)) (not (between_on_line L B A C))) ) 47.72/47.99 ( skv_1 skv_2 skv_3 skv_4 ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (between_on_line L A B C) (or (and (before_on_line L B C) (before_on_line L A B)) (and (before_on_line L C B) (before_on_line L B A)))) ) 47.72/47.99 ( skv_1, skv_1, skv_3, skv_1 ) 47.72/47.99 ( skv_1, skv_1, skv_3, skv_4 ) 47.72/47.99 ( skv_1, skv_1, skv_4, skv_1 ) 47.72/47.99 ( skv_1, skv_1, skv_4, skv_3 ) 47.72/47.99 ( skv_1, skv_3, skv_1, skv_3 ) 47.72/47.99 ( skv_1, skv_3, skv_1, skv_4 ) 47.72/47.99 ( skv_1, skv_3, skv_4, skv_1 ) 47.72/47.99 ( skv_1, skv_3, skv_4, skv_3 ) 47.72/47.99 ( skv_1, skv_4, skv_1, skv_3 ) 47.72/47.99 ( skv_1, skv_4, skv_1, skv_4 ) 47.72/47.99 ( skv_1, skv_4, skv_3, skv_1 ) 47.72/47.99 ( skv_1, skv_4, skv_3, skv_4 ) 47.72/47.99 ( skv_3, skv_1, skv_3, skv_1 ) 47.72/47.99 ( skv_3, skv_1, skv_3, skv_4 ) 47.72/47.99 ( skv_3, skv_1, skv_4, skv_1 ) 47.72/47.99 ( skv_3, skv_1, skv_4, skv_3 ) 47.72/47.99 ( skv_3, skv_1, skv_4, skv_4 ) 47.72/47.99 ( skv_3, skv_3, skv_1, skv_3 ) 47.72/47.99 ( skv_3, skv_3, skv_1, skv_4 ) 47.72/47.99 ( skv_3, skv_3, skv_4, skv_1 ) 47.72/47.99 ( skv_3, skv_3, skv_4, skv_3 ) 47.72/47.99 ( skv_3, skv_3, skv_4, skv_4 ) 47.72/47.99 ( skv_3, skv_4, skv_1, skv_3 ) 47.72/47.99 ( skv_3, skv_4, skv_1, skv_4 ) 47.72/47.99 ( skv_3, skv_4, skv_3, skv_1 ) 47.72/47.99 ( skv_3, skv_4, skv_3, skv_4 ) 47.72/47.99 ( skv_3, skv_4, skv_4, skv_1 ) 47.72/47.99 ( skv_3, skv_4, skv_4, skv_3 ) 47.72/47.99 ( skv_3, skv_4, skv_4, skv_4 ) 47.72/47.99 ( skv_3, skv_4, skv_4, (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_3, (line_connecting skv_4 skv_4), skv_4, skv_4 ) 47.72/47.99 ( skv_4, skv_1, skv_3, skv_1 ) 47.72/47.99 ( skv_4, skv_1, skv_3, skv_4 ) 47.72/47.99 ( skv_4, skv_1, skv_4, skv_1 ) 47.72/47.99 ( skv_4, skv_1, skv_4, skv_3 ) 47.72/47.99 ( skv_4, skv_1, skv_4, skv_4 ) 47.72/47.99 ( skv_4, skv_3, skv_1, skv_3 ) 47.72/47.99 ( skv_4, skv_3, skv_1, skv_4 ) 47.72/47.99 ( skv_4, skv_3, skv_4, skv_1 ) 47.72/47.99 ( skv_4, skv_3, skv_4, skv_3 ) 47.72/47.99 ( skv_4, skv_3, skv_4, skv_4 ) 47.72/47.99 ( skv_4, skv_4, skv_1, skv_3 ) 47.72/47.99 ( skv_4, skv_4, skv_1, skv_4 ) 47.72/47.99 ( skv_4, skv_4, skv_3, skv_1 ) 47.72/47.99 ( skv_4, skv_4, skv_3, skv_4 ) 47.72/47.99 ( skv_4, skv_4, skv_4, skv_1 ) 47.72/47.99 ( skv_4, skv_4, skv_4, skv_3 ) 47.72/47.99 ( skv_4, skv_4, skv_4, skv_4 ) 47.72/47.99 ( skv_4, skv_4, skv_4, (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_4, (line_connecting skv_4 skv_4), skv_4, skv_4 ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((L $$unsorted)) (not (distinct_lines L L)) ) 47.72/47.99 ( skv_4 ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((L $$unsorted)) (not (distinct_lines L (reverse_line L))) ) 47.72/47.99 ( skv_4 ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((L $$unsorted)) (not (unequally_directed_lines L L)) ) 47.72/47.99 ( skv_1 ) 47.72/47.99 ( skv_4 ) 47.72/47.99 ( (reverse_line skv_1) ) 47.72/47.99 ( (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((L $$unsorted) (M $$unsorted)) (= (convergent_lines L M) (and (unequally_directed_lines L (reverse_line M)) (unequally_directed_lines L M))) ) 47.72/47.99 ( skv_3, (line_connecting skv_4 skv_1) ) 47.72/47.99 ( skv_4, skv_1 ) 47.72/47.99 ( skv_4, skv_3 ) 47.72/47.99 ( skv_4, skv_4 ) 47.72/47.99 ( skv_4, (line_connecting skv_3 skv_4) ) 47.72/47.99 ( skv_4, (reverse_line skv_1) ) 47.72/47.99 ( skv_4, (line_connecting skv_4 skv_1) ) 47.72/47.99 ( skv_4, (line_connecting skv_3 (line_connecting skv_4 skv_4)) ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (not (unequally_directed_lines (line_connecting A B) (reverse_line (line_connecting B A)))) ) 47.72/47.99 ( skv_1, skv_1 ) 47.72/47.99 ( skv_1, skv_3 ) 47.72/47.99 ( skv_1, skv_4 ) 47.72/47.99 ( skv_1, (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_3, skv_1 ) 47.72/47.99 ( skv_3, skv_3 ) 47.72/47.99 ( skv_3, skv_4 ) 47.72/47.99 ( skv_3, (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_4, skv_4 ) 47.72/47.99 ( skv_4, (line_connecting skv_4 skv_4) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_1 ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_3 ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_4 ) 47.72/47.99 ( (line_connecting skv_4 skv_4), (line_connecting skv_4 skv_4) ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((A $$unsorted)) (not (distinct_points A A)) ) 47.72/47.99 ( skv_2 ) 47.72/47.99 ( skv_3 ) 47.72/47.99 ( skv_4 ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((A $$unsorted) (B $$unsorted) (L $$unsorted)) (let ((_let_0 (reverse_line L))) (= (or (and (left_apart_point B _let_0) (left_apart_point A L)) (and (left_apart_point A _let_0) (left_apart_point B L))) (divides_points L A B))) ) 47.72/47.99 ( skv_4, skv_4, skv_4 ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((A $$unsorted) (L $$unsorted)) (not (unequally_directed_lines (parallel_through_point L A) L)) ) 47.72/47.99 ( skv_1, skv_3 ) 47.72/47.99 ( skv_1, skv_4 ) 47.72/47.99 ( skv_3, skv_3 ) 47.72/47.99 ( skv_3, skv_4 ) 47.72/47.99 ( skv_4, skv_1 ) 47.72/47.99 ( skv_4, skv_3 ) 47.72/47.99 ( skv_4, skv_4 ) 47.72/47.99 ( skv_4, (line_connecting skv_3 skv_4) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_3 ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_4 ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((A $$unsorted) (L $$unsorted)) (not (apart_point_and_line A (parallel_through_point L A))) ) 47.72/47.99 ( skv_4, skv_4 ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((BOUND_VARIABLE_669 $$unsorted) (BOUND_VARIABLE_670 $$unsorted)) (not (left_convergent_lines BOUND_VARIABLE_669 (reverse_line BOUND_VARIABLE_670))) ) 47.72/47.99 ( skv_3, skv_4 ) 47.72/47.99 ( skv_4, skv_4 ) 47.72/47.99 ( skv_4, (line_connecting skv_4 skv_4) ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((BOUND_VARIABLE_676 $$unsorted) (BOUND_VARIABLE_677 $$unsorted)) (not (left_convergent_lines BOUND_VARIABLE_676 BOUND_VARIABLE_677)) ) 47.72/47.99 ( skv_3, skv_4 ) 47.72/47.99 ( skv_3, (line_connecting skv_4 skv_1) ) 47.72/47.99 ( skv_3, (reverse_line (line_connecting skv_4 skv_1)) ) 47.72/47.99 ( skv_4, skv_4 ) 47.72/47.99 ( skv_4, (line_connecting skv_3 skv_4) ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_3) ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_4) ) 47.72/47.99 ( skv_4, (reverse_line (reverse_line (line_connecting skv_4 skv_4))) ) 47.72/47.99 ( skv_4, (reverse_line skv_1) ) 47.72/47.99 ( skv_4, (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( skv_4, (reverse_line (line_connecting skv_3 skv_4)) ) 47.72/47.99 ( skv_4, (reverse_line (line_connecting skv_1 skv_4)) ) 47.72/47.99 ( skv_4, (reverse_line (reverse_line skv_1)) ) 47.72/47.99 ( skv_4, (line_connecting skv_4 skv_1) ) 47.72/47.99 ( skv_4, (reverse_line (line_connecting skv_4 skv_1)) ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((L $$unsorted)) (or (not (line L)) (line (reverse_line L))) ) 47.72/47.99 ( skv_1 ) 47.72/47.99 ( (reverse_line skv_1) ) 47.72/47.99 ( (reverse_line (reverse_line skv_1)) ) 47.72/47.99 ( (reverse_line (reverse_line (reverse_line skv_1))) ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((L $$unsorted) (M $$unsorted)) (or (not (line M)) (not (line L)) (unequally_directed_lines L (reverse_line M)) (unequally_directed_lines L M)) ) 47.72/47.99 ( skv_1, skv_1 ) 47.72/47.99 ( skv_4, skv_4 ) 47.72/47.99 ( (reverse_line skv_1), skv_1 ) 47.72/47.99 ( (reverse_line skv_1), (reverse_line skv_1) ) 47.72/47.99 ( (reverse_line (line_connecting skv_1 skv_3)), skv_1 ) 47.72/47.99 ( (reverse_line (line_connecting skv_1 skv_3)), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (or (not (unequally_directed_lines L M)) (unequally_directed_lines L N) (unequally_directed_lines M N)) ) 47.72/47.99 ( skv_1, skv_3, skv_1 ) 47.72/47.99 ( skv_1, skv_3, skv_4 ) 47.72/47.99 ( skv_1, skv_3, (line_connecting skv_3 skv_4) ) 47.72/47.99 ( skv_1, skv_3, (line_connecting skv_1 skv_3) ) 47.72/47.99 ( skv_1, skv_3, (line_connecting skv_1 skv_4) ) 47.72/47.99 ( skv_1, skv_3, (reverse_line skv_4) ) 47.72/47.99 ( skv_1, skv_3, (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_1, skv_3, (reverse_line skv_3) ) 47.72/47.99 ( skv_1, skv_3, (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( skv_1, skv_3, (reverse_line (line_connecting skv_1 skv_4)) ) 47.72/47.99 ( skv_1, skv_3, (line_connecting skv_3 skv_1) ) 47.72/47.99 ( skv_1, skv_3, (line_connecting skv_4 skv_1) ) 47.72/47.99 ( skv_1, skv_3, (reverse_line (line_connecting skv_4 skv_1)) ) 47.72/47.99 ( skv_1, skv_4, skv_1 ) 47.72/47.99 ( skv_1, skv_4, skv_3 ) 47.72/47.99 ( skv_1, skv_4, (line_connecting skv_3 skv_4) ) 47.72/47.99 ( skv_1, skv_4, (line_connecting skv_1 skv_3) ) 47.72/47.99 ( skv_1, skv_4, (reverse_line skv_4) ) 47.72/47.99 ( skv_1, skv_4, (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_1, skv_4, (reverse_line skv_3) ) 47.72/47.99 ( skv_1, skv_4, (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( skv_1, skv_4, (line_connecting skv_3 skv_1) ) 47.72/47.99 ( skv_1, skv_4, (line_connecting skv_4 skv_1) ) 47.72/47.99 ( skv_1, skv_4, (reverse_line (line_connecting skv_4 skv_1)) ) 47.72/47.99 ( skv_1, (line_connecting skv_3 skv_4), skv_1 ) 47.72/47.99 ( skv_1, (line_connecting skv_3 skv_4), (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_1, (reverse_line skv_4), skv_1 ) 47.72/47.99 ( skv_1, (reverse_line skv_4), skv_4 ) 47.72/47.99 ( skv_1, (reverse_line skv_4), (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_1, (line_connecting skv_4 skv_4), skv_1 ) 47.72/47.99 ( skv_1, (line_connecting skv_4 skv_4), skv_3 ) 47.72/47.99 ( skv_1, (line_connecting skv_4 skv_4), skv_4 ) 47.72/47.99 ( skv_1, (line_connecting skv_4 skv_4), (line_connecting skv_1 skv_3) ) 47.72/47.99 ( skv_1, (line_connecting skv_4 skv_4), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( skv_1, (line_connecting skv_4 skv_4), (line_connecting skv_3 skv_1) ) 47.72/47.99 ( skv_1, (reverse_line (line_connecting skv_4 skv_4)), (reverse_line skv_4) ) 47.72/47.99 ( skv_1, (reverse_line (reverse_line (line_connecting skv_4 skv_4))), skv_1 ) 47.72/47.99 ( skv_1, (reverse_line (reverse_line (line_connecting skv_4 skv_4))), skv_3 ) 47.72/47.99 ( skv_1, (reverse_line (reverse_line (line_connecting skv_4 skv_4))), skv_4 ) 47.72/47.99 ( skv_1, (reverse_line (reverse_line (line_connecting skv_4 skv_4))), (line_connecting skv_1 skv_3) ) 47.72/47.99 ( skv_1, (reverse_line (reverse_line (line_connecting skv_4 skv_4))), (reverse_line skv_4) ) 47.72/47.99 ( skv_1, (reverse_line (reverse_line (line_connecting skv_4 skv_4))), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( skv_1, (reverse_line skv_3), skv_4 ) 47.72/47.99 ( skv_1, (reverse_line skv_1), skv_3 ) 47.72/47.99 ( skv_1, (reverse_line skv_1), skv_4 ) 47.72/47.99 ( skv_1, (reverse_line skv_1), (line_connecting skv_3 skv_4) ) 47.72/47.99 ( skv_1, (reverse_line skv_1), (reverse_line skv_4) ) 47.72/47.99 ( skv_1, (reverse_line skv_1), (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_1, (reverse_line skv_1), (reverse_line skv_3) ) 47.72/47.99 ( skv_1, (reverse_line skv_1), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( skv_1, (reverse_line skv_1), (line_connecting skv_4 skv_1) ) 47.72/47.99 ( skv_1, (reverse_line (line_connecting skv_1 skv_3)), skv_1 ) 47.72/47.99 ( skv_1, (reverse_line (line_connecting skv_1 skv_3)), skv_4 ) 47.72/47.99 ( skv_1, (reverse_line (line_connecting skv_1 skv_4)), (reverse_line skv_4) ) 47.72/47.99 ( skv_1, (reverse_line (line_connecting skv_1 skv_4)), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( skv_1, (line_connecting skv_3 skv_1), skv_4 ) 47.72/47.99 ( skv_1, (line_connecting skv_3 skv_1), (line_connecting skv_1 skv_3) ) 47.72/47.99 ( skv_1, (line_connecting skv_3 skv_1), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( skv_1, (line_connecting skv_1 skv_1), skv_4 ) 47.72/47.99 ( skv_1, (line_connecting skv_1 skv_1), (line_connecting skv_3 skv_4) ) 47.72/47.99 ( skv_1, (line_connecting skv_1 skv_1), (reverse_line skv_4) ) 47.72/47.99 ( skv_1, (line_connecting skv_1 skv_1), (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_1, (line_connecting skv_1 skv_1), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( skv_1, (line_connecting skv_1 skv_1), (reverse_line (line_connecting skv_1 skv_1)) ) 47.72/47.99 ( skv_1, (line_connecting skv_1 (line_connecting skv_4 skv_4)), skv_1 ) 47.72/47.99 ( skv_1, (line_connecting skv_1 (line_connecting skv_4 skv_4)), skv_3 ) 47.72/47.99 ( skv_1, (line_connecting skv_1 (line_connecting skv_4 skv_4)), (reverse_line skv_4) ) 47.72/47.99 ( skv_1, (line_connecting skv_1 (line_connecting skv_4 skv_4)), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( skv_1, (line_connecting (line_connecting skv_4 skv_4) skv_1), skv_1 ) 47.72/47.99 ( skv_1, (let ((_let_0 (line_connecting skv_4 skv_4))) (line_connecting _let_0 _let_0)), skv_1 ) 47.72/47.99 ( skv_1, (let ((_let_0 (line_connecting skv_4 skv_4))) (line_connecting _let_0 _let_0)), (line_connecting skv_3 skv_4) ) 47.72/47.99 ( skv_1, (line_connecting (line_connecting skv_4 skv_4) skv_4), skv_1 ) 47.72/47.99 ( skv_1, (line_connecting (line_connecting skv_4 skv_4) skv_4), skv_3 ) 47.72/47.99 ( skv_1, (line_connecting (line_connecting skv_4 skv_4) skv_4), (reverse_line skv_4) ) 47.72/47.99 ( skv_1, (line_connecting (line_connecting skv_4 skv_4) skv_4), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( skv_1, (line_connecting skv_4 (line_connecting skv_4 skv_4)), skv_1 ) 47.72/47.99 ( skv_1, (line_connecting skv_4 (line_connecting skv_4 skv_4)), skv_3 ) 47.72/47.99 ( skv_1, (line_connecting (line_connecting skv_4 skv_4) skv_3), skv_1 ) 47.72/47.99 ( skv_1, (line_connecting (line_connecting skv_4 skv_4) skv_3), skv_3 ) 47.72/47.99 ( skv_1, (line_connecting (line_connecting skv_4 skv_4) skv_3), (reverse_line skv_4) ) 47.72/47.99 ( skv_1, (line_connecting (line_connecting skv_4 skv_4) skv_3), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( skv_1, (line_connecting skv_3 skv_3), skv_1 ) 47.72/47.99 ( skv_1, (line_connecting skv_3 skv_3), skv_3 ) 47.72/47.99 ( skv_1, (line_connecting skv_3 skv_3), skv_4 ) 47.72/47.99 ( skv_1, (line_connecting skv_3 skv_3), (line_connecting skv_3 skv_4) ) 47.72/47.99 ( skv_3, skv_1, skv_4 ) 47.72/47.99 ( skv_3, skv_1, (line_connecting skv_3 skv_4) ) 47.72/47.99 ( skv_3, skv_1, (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_3, skv_3, skv_4 ) 47.72/47.99 ( skv_3, skv_3, (line_connecting skv_3 skv_4) ) 47.72/47.99 ( skv_3, skv_3, (reverse_line skv_4) ) 47.72/47.99 ( skv_3, skv_4, (reverse_line skv_4) ) 47.72/47.99 ( skv_3, skv_4, (reverse_line (line_connecting skv_3 skv_4)) ) 47.72/47.99 ( skv_3, skv_4, (line_connecting skv_4 skv_1) ) 47.72/47.99 ( skv_3, (line_connecting skv_3 skv_4), (reverse_line (line_connecting skv_3 skv_4)) ) 47.72/47.99 ( skv_3, (line_connecting skv_3 skv_4), (reverse_line (line_connecting skv_3 skv_1)) ) 47.72/47.99 ( skv_3, (line_connecting skv_1 skv_3), skv_4 ) 47.72/47.99 ( skv_3, (line_connecting skv_1 skv_3), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( skv_3, (line_connecting skv_1 skv_3), (reverse_line (line_connecting skv_3 skv_1)) ) 47.72/47.99 ( skv_3, (line_connecting skv_1 skv_4), skv_4 ) 47.72/47.99 ( skv_3, (line_connecting skv_1 skv_4), (reverse_line (line_connecting skv_4 skv_1)) ) 47.72/47.99 ( skv_3, (reverse_line skv_4), skv_1 ) 47.72/47.99 ( skv_3, (reverse_line skv_4), skv_4 ) 47.72/47.99 ( skv_3, (reverse_line skv_4), (line_connecting skv_3 skv_4) ) 47.72/47.99 ( skv_3, (line_connecting skv_4 skv_4), skv_1 ) 47.72/47.99 ( skv_3, (line_connecting skv_4 skv_4), skv_3 ) 47.72/47.99 ( skv_3, (line_connecting skv_4 skv_4), skv_4 ) 47.72/47.99 ( skv_3, (line_connecting skv_4 skv_4), (reverse_line skv_4) ) 47.72/47.99 ( skv_3, (reverse_line skv_3), skv_4 ) 47.72/47.99 ( skv_3, (reverse_line skv_1), (line_connecting skv_3 skv_4) ) 47.72/47.99 ( skv_3, (reverse_line skv_1), (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_3, (reverse_line skv_1), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( skv_3, (reverse_line skv_1), (reverse_line (reverse_line (line_connecting skv_4 skv_4))) ) 47.72/47.99 ( skv_3, (reverse_line (line_connecting skv_3 skv_4)), skv_4 ) 47.72/47.99 ( skv_3, (reverse_line (line_connecting skv_3 skv_4)), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( skv_3, (line_connecting skv_3 skv_1), skv_3 ) 47.72/47.99 ( skv_3, (line_connecting skv_3 skv_1), skv_4 ) 47.72/47.99 ( skv_3, (reverse_line (line_connecting skv_3 skv_1)), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( skv_3, (line_connecting skv_4 skv_1), skv_4 ) 47.72/47.99 ( skv_3, (line_connecting skv_1 skv_1), skv_1 ) 47.72/47.99 ( skv_3, (let ((_let_0 (line_connecting skv_4 skv_4))) (line_connecting _let_0 _let_0)), skv_3 ) 47.72/47.99 ( skv_3, (let ((_let_0 (line_connecting skv_4 skv_4))) (line_connecting _let_0 _let_0)), skv_4 ) 47.72/47.99 ( skv_3, (line_connecting skv_3 skv_3), skv_3 ) 47.72/47.99 ( skv_3, (line_connecting skv_3 skv_3), skv_4 ) 47.72/47.99 ( skv_4, skv_1, skv_4 ) 47.72/47.99 ( skv_4, skv_1, (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_4, skv_3, skv_4 ) 47.72/47.99 ( skv_4, (line_connecting skv_3 skv_4), skv_3 ) 47.72/47.99 ( skv_4, (line_connecting skv_3 skv_4), skv_4 ) 47.72/47.99 ( skv_4, (line_connecting skv_3 skv_4), (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_4, (line_connecting skv_3 skv_4), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( skv_4, (line_connecting skv_3 skv_4), (reverse_line skv_3) ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_3), skv_4 ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_3), (reverse_line (line_connecting skv_3 skv_1)) ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_4), skv_3 ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_4), skv_4 ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_4), (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_4), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_4), (reverse_line (line_connecting skv_4 skv_1)) ) 47.72/47.99 ( skv_4, (reverse_line skv_4), skv_1 ) 47.72/47.99 ( skv_4, (reverse_line skv_4), (reverse_line skv_3) ) 47.72/47.99 ( skv_4, (line_connecting skv_4 skv_4), skv_4 ) 47.72/47.99 ( skv_4, (reverse_line (line_connecting skv_4 skv_4)), (reverse_line (reverse_line (line_connecting skv_4 skv_4))) ) 47.72/47.99 ( skv_4, (reverse_line skv_3), (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_4, (reverse_line skv_1), skv_3 ) 47.72/47.99 ( skv_4, (reverse_line skv_1), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( skv_4, (reverse_line skv_1), (reverse_line skv_3) ) 47.72/47.99 ( skv_4, (line_connecting skv_3 skv_1), skv_4 ) 47.72/47.99 ( skv_4, (line_connecting skv_3 skv_1), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( skv_4, (line_connecting skv_4 skv_1), skv_4 ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_1), skv_3 ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_1), skv_4 ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_1), (reverse_line (reverse_line (line_connecting skv_4 skv_4))) ) 47.72/47.99 ( skv_4, (let ((_let_0 (line_connecting skv_4 skv_4))) (line_connecting _let_0 _let_0)), (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_4, (line_connecting skv_3 skv_3), (line_connecting skv_4 skv_4) ) 47.72/47.99 ( skv_4, (line_connecting skv_3 skv_3), (reverse_line (reverse_line (line_connecting skv_4 skv_4))) ) 47.72/47.99 ( (line_connecting skv_3 skv_4), skv_1, (line_connecting skv_3 skv_4) ) 47.72/47.99 ( (line_connecting skv_3 skv_4), (line_connecting skv_3 skv_4), (reverse_line (line_connecting skv_4 skv_3)) ) 47.72/47.99 ( (line_connecting skv_3 skv_4), (reverse_line skv_4), skv_1 ) 47.72/47.99 ( (line_connecting skv_3 skv_4), (reverse_line skv_4), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( (line_connecting skv_3 skv_4), (reverse_line skv_4), (reverse_line (line_connecting skv_4 skv_3)) ) 47.72/47.99 ( (line_connecting skv_3 skv_4), (line_connecting skv_4 skv_4), (line_connecting skv_3 skv_4) ) 47.72/47.99 ( (line_connecting skv_3 skv_4), (line_connecting skv_4 skv_4), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( (line_connecting skv_3 skv_4), (line_connecting skv_4 skv_4), (reverse_line skv_1) ) 47.72/47.99 ( (line_connecting skv_3 skv_4), (reverse_line skv_3), skv_1 ) 47.72/47.99 ( (line_connecting skv_3 skv_4), (reverse_line skv_3), (reverse_line (line_connecting skv_4 skv_3)) ) 47.72/47.99 ( (line_connecting skv_3 skv_4), (line_connecting skv_3 skv_1), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( (line_connecting skv_1 skv_3), (reverse_line (line_connecting skv_4 skv_4)), (reverse_line skv_4) ) 47.72/47.99 ( (line_connecting skv_1 skv_4), (line_connecting skv_4 skv_4), (reverse_line skv_4) ) 47.72/47.99 ( (line_connecting skv_1 skv_4), (line_connecting skv_4 skv_4), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( (line_connecting skv_1 skv_4), (line_connecting skv_4 skv_4), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( (line_connecting skv_1 skv_4), (line_connecting skv_4 skv_4), (reverse_line (reverse_line (line_connecting skv_1 skv_3))) ) 47.72/47.99 ( (line_connecting skv_1 skv_4), (reverse_line (line_connecting skv_1 skv_3)), skv_1 ) 47.72/47.99 ( (line_connecting skv_1 skv_4), (reverse_line (line_connecting skv_1 skv_3)), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( (line_connecting skv_1 skv_4), (reverse_line (line_connecting skv_1 skv_3)), (reverse_line (line_connecting skv_4 skv_3)) ) 47.72/47.99 ( (line_connecting skv_1 skv_4), (reverse_line (line_connecting skv_1 skv_3)), (reverse_line (line_connecting skv_4 skv_1)) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_1, skv_4 ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_1, (line_connecting skv_4 skv_4) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_3, skv_4 ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_3, (line_connecting skv_4 skv_4) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_4, skv_1 ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_4, (reverse_line skv_4) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_4, (line_connecting skv_4 skv_4) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_4, (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_4, (reverse_line (reverse_line (line_connecting skv_4 skv_4))) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_4, (line_connecting skv_1 (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_4, (line_connecting (line_connecting skv_4 skv_4) skv_1) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_4, (reverse_line (line_connecting skv_1 (line_connecting skv_4 skv_4))) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_4, (line_connecting (line_connecting skv_4 skv_4) skv_4) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_4, (line_connecting skv_4 (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), skv_4, (line_connecting (line_connecting skv_4 skv_4) skv_3) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), (line_connecting skv_1 skv_3), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), (reverse_line skv_4), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), (line_connecting skv_4 skv_4), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), (reverse_line skv_3), (reverse_line (reverse_line skv_1)) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), (reverse_line skv_1), (line_connecting skv_3 skv_4) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), (reverse_line skv_1), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), (line_connecting skv_1 skv_1), (reverse_line skv_4) ) 47.72/47.99 ( (line_connecting skv_4 skv_4), (line_connecting skv_1 skv_1), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( (reverse_line skv_1), skv_3, (reverse_line skv_1) ) 47.72/47.99 ( (reverse_line skv_1), skv_4, (reverse_line skv_4) ) 47.72/47.99 ( (reverse_line skv_1), skv_4, (reverse_line skv_1) ) 47.72/47.99 ( (reverse_line skv_1), (line_connecting skv_3 skv_4), (reverse_line skv_4) ) 47.72/47.99 ( (reverse_line skv_1), (line_connecting skv_4 skv_4), (line_connecting skv_3 skv_4) ) 47.72/47.99 ( (reverse_line skv_1), (line_connecting skv_4 skv_4), (reverse_line skv_1) ) 47.72/47.99 ( (reverse_line skv_1), (reverse_line (reverse_line skv_1)), (reverse_line skv_4) ) 47.72/47.99 ( (reverse_line (line_connecting skv_1 skv_3)), skv_1, (reverse_line skv_4) ) 47.72/47.99 ( (reverse_line (line_connecting skv_1 skv_3)), skv_4, (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( (reverse_line (line_connecting skv_1 skv_3)), skv_4, (reverse_line (reverse_line skv_1)) ) 47.72/47.99 ( (reverse_line (line_connecting skv_1 skv_3)), (reverse_line skv_1), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/47.99 ( (reverse_line (line_connecting skv_1 skv_3)), (reverse_line skv_1), (reverse_line skv_3) ) 47.72/47.99 ( (reverse_line (line_connecting skv_1 skv_3)), (reverse_line (reverse_line skv_1)), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( (reverse_line (line_connecting skv_1 skv_3)), (reverse_line (reverse_line (line_connecting skv_1 skv_3))), (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/47.99 ( (reverse_line (line_connecting skv_1 skv_3)), (reverse_line (reverse_line (line_connecting skv_1 skv_3))), (reverse_line (reverse_line skv_1)) ) 47.72/47.99 ( (line_connecting skv_3 skv_1), skv_3, skv_4 ) 47.72/47.99 ( (line_connecting skv_3 skv_1), (line_connecting skv_1 skv_3), (reverse_line (line_connecting skv_3 skv_1)) ) 47.72/47.99 ( (line_connecting skv_3 skv_1), (line_connecting skv_3 skv_1), skv_4 ) 47.72/47.99 ( (line_connecting skv_1 skv_1), (reverse_line skv_4), (reverse_line (line_connecting skv_1 skv_1)) ) 47.72/47.99 ) 47.72/47.99 (instantiation (forall ((L $$unsorted) (M $$unsorted)) (let ((_let_0 (reverse_line M))) (or (not (unequally_directed_lines L M)) (not (unequally_directed_lines L _let_0)) (left_convergent_lines L _let_0) (left_convergent_lines L M))) ) 47.72/47.99 ( skv_3, skv_4 ) 47.72/47.99 ( skv_3, (line_connecting skv_4 skv_1) ) 47.72/47.99 ( skv_4, skv_3 ) 47.72/47.99 ( skv_4, (line_connecting skv_3 skv_4) ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_3) ) 47.72/47.99 ( skv_4, (line_connecting skv_1 skv_4) ) 47.72/48.00 ( skv_4, (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/48.00 ( skv_4, (reverse_line skv_1) ) 47.72/48.00 ( skv_4, (line_connecting skv_4 skv_1) ) 47.72/48.00 ( skv_4, (line_connecting skv_3 (line_connecting skv_4 skv_4)) ) 47.72/48.00 ) 47.72/48.00 (instantiation (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (distinct_points A B)) (distinct_points A C) (distinct_points B C)) ) 47.72/48.00 ( skv_1, skv_3, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_1, skv_4, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_1, (line_connecting skv_4 skv_4), skv_2 ) 47.72/48.00 ( skv_2, skv_3, skv_2 ) 47.72/48.00 ( skv_2, skv_4, skv_2 ) 47.72/48.00 ( skv_3, skv_1, skv_3 ) 47.72/48.00 ( skv_3, skv_1, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_3, skv_4, skv_1 ) 47.72/48.00 ( skv_3, skv_4, skv_3 ) 47.72/48.00 ( skv_3, skv_4, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_3, (line_connecting skv_4 skv_4), skv_3 ) 47.72/48.00 ( skv_4, skv_1, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_4, skv_3, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_4, (line_connecting skv_4 skv_4), skv_4 ) 47.72/48.00 ) 47.72/48.00 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_0 (line_connecting A B))) (or (not (distinct_points A B)) (and (not (apart_point_and_line A _let_0)) (not (apart_point_and_line B _let_0))))) ) 47.72/48.00 ( skv_4, skv_4 ) 47.72/48.00 ) 47.72/48.00 (instantiation (forall ((L $$unsorted) (M $$unsorted)) (let ((_let_0 (intersection_point L M))) (or (not (unequally_directed_lines L (reverse_line M))) (not (unequally_directed_lines L M)) (and (not (apart_point_and_line _let_0 M)) (not (apart_point_and_line _let_0 L))))) ) 47.72/48.00 ( skv_4, skv_4 ) 47.72/48.00 ) 47.72/48.00 (instantiation (forall ((BOUND_VARIABLE_726 $$unsorted) (BOUND_VARIABLE_727 $$unsorted)) (not (left_apart_point BOUND_VARIABLE_726 (reverse_line BOUND_VARIABLE_727))) ) 47.72/48.00 ( skv_1, skv_3 ) 47.72/48.00 ( skv_1, skv_4 ) 47.72/48.00 ( skv_3, skv_3 ) 47.72/48.00 ( skv_3, skv_4 ) 47.72/48.00 ( skv_4, skv_3 ) 47.72/48.00 ( skv_4, skv_4 ) 47.72/48.00 ) 47.72/48.00 (instantiation (forall ((BOUND_VARIABLE_733 $$unsorted) (BOUND_VARIABLE_734 $$unsorted)) (not (left_apart_point BOUND_VARIABLE_733 BOUND_VARIABLE_734)) ) 47.72/48.00 ( skv_1, skv_1 ) 47.72/48.00 ( skv_1, skv_3 ) 47.72/48.00 ( skv_1, skv_4 ) 47.72/48.00 ( skv_1, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_1, (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/48.00 ( skv_1, (reverse_line skv_1) ) 47.72/48.00 ( skv_1, (line_connecting skv_3 (line_connecting skv_4 skv_4)) ) 47.72/48.00 ( skv_3, skv_1 ) 47.72/48.00 ( skv_3, skv_3 ) 47.72/48.00 ( skv_3, skv_4 ) 47.72/48.00 ( skv_3, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_3, (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/48.00 ( skv_3, (reverse_line skv_1) ) 47.72/48.00 ( skv_3, (line_connecting skv_3 (line_connecting skv_4 skv_4)) ) 47.72/48.00 ( skv_4, skv_3 ) 47.72/48.00 ( skv_4, skv_4 ) 47.72/48.00 ( skv_4, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_4, (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/48.00 ( skv_4, (line_connecting skv_3 (line_connecting skv_4 skv_4)) ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_1 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_3 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_4 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), (reverse_line skv_4) ) 47.72/48.00 ( (line_connecting skv_4 skv_4), (line_connecting skv_4 skv_4) ) 47.72/48.00 ( (line_connecting skv_4 skv_4), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/48.00 ( (line_connecting skv_4 skv_4), (reverse_line skv_1) ) 47.72/48.00 ( (line_connecting skv_4 skv_4), (line_connecting skv_3 (line_connecting skv_4 skv_4)) ) 47.72/48.00 ) 47.72/48.00 (instantiation (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_0 (reverse_line N))) (or (not (unequally_directed_lines L (reverse_line M))) (not (unequally_directed_lines L M)) (and (unequally_directed_lines M _let_0) (unequally_directed_lines M N)) (and (unequally_directed_lines L N) (unequally_directed_lines L _let_0)))) ) 47.72/48.00 ( skv_1, skv_3, skv_1 ) 47.72/48.00 ( skv_1, skv_3, skv_4 ) 47.72/48.00 ( skv_1, skv_3, (line_connecting skv_3 skv_4) ) 47.72/48.00 ( skv_1, skv_3, (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/48.00 ( skv_1, skv_3, (line_connecting skv_3 skv_1) ) 47.72/48.00 ( skv_1, skv_4, skv_1 ) 47.72/48.00 ( skv_1, skv_4, skv_3 ) 47.72/48.00 ( skv_1, skv_4, (line_connecting skv_1 skv_3) ) 47.72/48.00 ( skv_1, skv_4, (line_connecting skv_1 skv_4) ) 47.72/48.00 ( skv_1, skv_4, (reverse_line (line_connecting skv_1 skv_3)) ) 47.72/48.00 ( skv_1, skv_4, (reverse_line (line_connecting skv_3 skv_4)) ) 47.72/48.00 ( skv_1, skv_4, (reverse_line (line_connecting skv_1 skv_4)) ) 47.72/48.00 ( skv_1, skv_4, (reverse_line (reverse_line skv_1)) ) 47.72/48.00 ( skv_1, skv_4, (line_connecting skv_3 skv_1) ) 47.72/48.00 ( skv_1, (line_connecting skv_3 skv_4), skv_1 ) 47.72/48.00 ( skv_1, (line_connecting skv_1 skv_3), (reverse_line skv_4) ) 47.72/48.00 ( skv_1, (line_connecting skv_4 skv_4), skv_1 ) 47.72/48.00 ( skv_1, (line_connecting skv_4 skv_4), skv_3 ) 47.72/48.00 ( skv_1, (line_connecting skv_4 skv_4), skv_4 ) 47.72/48.00 ( skv_1, (line_connecting skv_4 skv_4), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/48.00 ( skv_1, (line_connecting skv_4 skv_4), (reverse_line skv_3) ) 47.72/48.00 ( skv_1, (reverse_line (reverse_line (line_connecting skv_4 skv_4))), skv_1 ) 47.72/48.00 ( skv_1, (reverse_line (reverse_line (line_connecting skv_4 skv_4))), skv_4 ) 47.72/48.00 ( skv_1, (reverse_line skv_1), skv_1 ) 47.72/48.00 ( skv_1, (reverse_line (line_connecting skv_1 skv_3)), skv_1 ) 47.72/48.00 ( skv_1, (line_connecting skv_3 skv_1), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/48.00 ( skv_1, (line_connecting skv_1 skv_1), (reverse_line (line_connecting skv_1 skv_1)) ) 47.72/48.00 ( skv_1, (line_connecting skv_3 skv_3), (reverse_line (line_connecting skv_3 skv_3)) ) 47.72/48.00 ( skv_3, (reverse_line (reverse_line (line_connecting skv_4 skv_4))), skv_4 ) 47.72/48.00 ( skv_3, (line_connecting skv_3 skv_1), skv_3 ) 47.72/48.00 ( skv_3, (line_connecting skv_3 skv_1), skv_4 ) 47.72/48.00 ( skv_3, (line_connecting skv_3 skv_1), (line_connecting skv_3 skv_4) ) 47.72/48.00 ( skv_3, (line_connecting skv_4 skv_1), skv_4 ) 47.72/48.00 ( skv_3, (line_connecting skv_1 skv_1), (reverse_line skv_4) ) 47.72/48.00 ( skv_3, (line_connecting skv_3 skv_3), (reverse_line (line_connecting skv_3 skv_3)) ) 47.72/48.00 ( skv_4, (line_connecting skv_4 skv_4), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/48.00 ( skv_4, (line_connecting skv_3 skv_1), skv_3 ) 47.72/48.00 ( skv_4, (line_connecting skv_3 skv_1), skv_4 ) 47.72/48.00 ( skv_4, (line_connecting skv_3 skv_1), (line_connecting skv_3 skv_4) ) 47.72/48.00 ( skv_4, (line_connecting skv_4 skv_1), skv_4 ) 47.72/48.00 ( (line_connecting skv_3 skv_4), skv_1, skv_3 ) 47.72/48.00 ( (line_connecting skv_3 skv_4), skv_1, (line_connecting skv_4 skv_3) ) 47.72/48.00 ( (line_connecting skv_3 skv_4), skv_1, (line_connecting skv_4 skv_1) ) 47.72/48.00 ( (line_connecting skv_3 skv_4), skv_3, (line_connecting skv_3 skv_4) ) 47.72/48.00 ( (line_connecting skv_3 skv_4), skv_3, (reverse_line skv_3) ) 47.72/48.00 ( (line_connecting skv_3 skv_4), skv_3, (line_connecting skv_4 skv_1) ) 47.72/48.00 ( (line_connecting skv_3 skv_4), skv_3, (reverse_line (line_connecting skv_4 skv_1)) ) 47.72/48.00 ( (line_connecting skv_3 skv_4), skv_4, skv_1 ) 47.72/48.00 ( (line_connecting skv_3 skv_4), skv_4, skv_3 ) 47.72/48.00 ( (line_connecting skv_3 skv_4), skv_4, (line_connecting skv_3 skv_1) ) 47.72/48.00 ( (line_connecting skv_3 skv_4), (line_connecting skv_4 skv_4), skv_4 ) 47.72/48.00 ( (line_connecting skv_3 skv_4), (line_connecting skv_4 skv_4), (line_connecting skv_3 skv_4) ) 47.72/48.00 ( (line_connecting skv_3 skv_4), (line_connecting skv_3 skv_1), (line_connecting skv_3 skv_4) ) 47.72/48.00 ( (line_connecting skv_1 skv_3), skv_4, (line_connecting skv_3 skv_1) ) 47.72/48.00 ( (line_connecting skv_1 skv_4), (line_connecting skv_4 skv_4), skv_4 ) 47.72/48.00 ( (line_connecting skv_1 skv_4), (line_connecting skv_4 skv_4), (reverse_line (line_connecting skv_4 skv_4)) ) 47.72/48.00 ( (line_connecting skv_1 skv_4), (reverse_line (line_connecting skv_4 skv_4)), (line_connecting skv_4 skv_1) ) 47.72/48.00 ( (line_connecting skv_1 skv_4), (reverse_line (line_connecting skv_1 skv_3)), (line_connecting skv_4 skv_1) ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_1, skv_4 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_3, skv_4 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), (reverse_line skv_1), skv_4 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), (reverse_line skv_1), (line_connecting skv_3 skv_4) ) 47.72/48.00 ( (line_connecting skv_4 skv_4), (line_connecting skv_1 skv_1), (reverse_line (reverse_line skv_1)) ) 47.72/48.00 ( (line_connecting skv_4 skv_4), (line_connecting skv_3 skv_3), (reverse_line (reverse_line skv_1)) ) 47.72/48.00 ( (reverse_line skv_1), skv_3, skv_1 ) 47.72/48.00 ( (reverse_line skv_1), skv_3, skv_4 ) 47.72/48.00 ( (reverse_line skv_1), skv_3, (reverse_line skv_1) ) 47.72/48.00 ( (reverse_line skv_1), skv_4, skv_1 ) 47.72/48.00 ( (reverse_line skv_1), skv_4, (reverse_line skv_1) ) 47.72/48.00 ( (reverse_line skv_1), (line_connecting skv_4 skv_4), skv_4 ) 47.72/48.00 ( (reverse_line skv_1), (line_connecting skv_4 skv_4), (line_connecting skv_3 skv_4) ) 47.72/48.00 ( (reverse_line skv_1), (reverse_line (line_connecting skv_1 skv_3)), skv_1 ) 47.72/48.00 ( (reverse_line (line_connecting skv_1 skv_3)), (reverse_line skv_1), skv_4 ) 47.72/48.00 ( (line_connecting skv_3 skv_1), (reverse_line (reverse_line (line_connecting skv_4 skv_4))), skv_4 ) 47.72/48.00 ( (line_connecting skv_3 skv_1), (line_connecting skv_3 skv_1), skv_3 ) 47.72/48.00 ( (line_connecting skv_3 skv_1), (line_connecting skv_3 skv_1), skv_4 ) 47.72/48.00 ( (line_connecting skv_3 skv_1), (line_connecting skv_3 skv_1), (line_connecting skv_3 skv_4) ) 47.72/48.00 ) 47.72/48.00 (instantiation (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_0 (reverse_line L))) (= (before_on_line L A B) (and (not (left_apart_point A L)) (not (left_apart_point A _let_0)) (not (left_apart_point B L)) (not (left_apart_point B _let_0)) (not (unequally_directed_lines L (line_connecting A B))) (distinct_points A B)))) ) 47.72/48.00 ( skv_1, skv_1, skv_1 ) 47.72/48.00 ( skv_1, skv_1, skv_3 ) 47.72/48.00 ( skv_1, skv_1, skv_4 ) 47.72/48.00 ( skv_1, skv_1, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_1, skv_3, skv_1 ) 47.72/48.00 ( skv_1, skv_3, skv_3 ) 47.72/48.00 ( skv_1, skv_3, skv_4 ) 47.72/48.00 ( skv_1, skv_3, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_1, skv_4, skv_1 ) 47.72/48.00 ( skv_1, skv_4, skv_3 ) 47.72/48.00 ( skv_1, skv_4, skv_4 ) 47.72/48.00 ( skv_1, skv_4, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_1, (line_connecting skv_4 skv_4), skv_1 ) 47.72/48.00 ( skv_1, (line_connecting skv_4 skv_4), skv_3 ) 47.72/48.00 ( skv_1, (line_connecting skv_4 skv_4), skv_4 ) 47.72/48.00 ( skv_1, (line_connecting skv_4 skv_4), (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_3, skv_1, skv_1 ) 47.72/48.00 ( skv_3, skv_1, skv_3 ) 47.72/48.00 ( skv_3, skv_1, skv_4 ) 47.72/48.00 ( skv_3, skv_1, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_3, skv_3, skv_1 ) 47.72/48.00 ( skv_3, skv_3, skv_3 ) 47.72/48.00 ( skv_3, skv_3, skv_4 ) 47.72/48.00 ( skv_3, skv_3, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_3, skv_4, skv_1 ) 47.72/48.00 ( skv_3, skv_4, skv_3 ) 47.72/48.00 ( skv_3, skv_4, skv_4 ) 47.72/48.00 ( skv_3, skv_4, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_3, (line_connecting skv_4 skv_4), skv_1 ) 47.72/48.00 ( skv_3, (line_connecting skv_4 skv_4), skv_3 ) 47.72/48.00 ( skv_3, (line_connecting skv_4 skv_4), skv_4 ) 47.72/48.00 ( skv_3, (line_connecting skv_4 skv_4), (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_4, skv_1, skv_1 ) 47.72/48.00 ( skv_4, skv_1, skv_3 ) 47.72/48.00 ( skv_4, skv_1, skv_4 ) 47.72/48.00 ( skv_4, skv_1, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_4, skv_3, skv_1 ) 47.72/48.00 ( skv_4, skv_3, skv_3 ) 47.72/48.00 ( skv_4, skv_3, skv_4 ) 47.72/48.00 ( skv_4, skv_3, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_4, skv_4, skv_1 ) 47.72/48.00 ( skv_4, skv_4, skv_3 ) 47.72/48.00 ( skv_4, skv_4, skv_4 ) 47.72/48.00 ( skv_4, skv_4, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( skv_4, (line_connecting skv_4 skv_4), skv_1 ) 47.72/48.00 ( skv_4, (line_connecting skv_4 skv_4), skv_3 ) 47.72/48.00 ( skv_4, (line_connecting skv_4 skv_4), skv_4 ) 47.72/48.00 ( skv_4, (line_connecting skv_4 skv_4), (line_connecting skv_4 skv_4) ) 47.72/48.00 ( (line_connecting skv_3 skv_4), skv_1, skv_3 ) 47.72/48.00 ( (line_connecting skv_3 skv_4), skv_3, skv_4 ) 47.72/48.00 ( (line_connecting skv_3 skv_4), skv_4, skv_1 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_1, skv_1 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_1, skv_3 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_1, skv_4 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_1, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_3, skv_1 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_3, skv_3 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_3, skv_4 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_3, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_4, skv_1 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_4, skv_3 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_4, skv_4 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), skv_4, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( (line_connecting skv_4 skv_4), (line_connecting skv_4 skv_4), skv_1 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), (line_connecting skv_4 skv_4), skv_3 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), (line_connecting skv_4 skv_4), skv_4 ) 47.72/48.00 ( (line_connecting skv_4 skv_4), (line_connecting skv_4 skv_4), (line_connecting skv_4 skv_4) ) 47.72/48.00 ( (reverse_line skv_1), skv_1, skv_3 ) 47.72/48.00 ( (reverse_line skv_1), skv_3, skv_4 ) 47.72/48.00 ( (reverse_line skv_1), skv_4, skv_1 ) 47.72/48.00 ( (line_connecting skv_3 (line_connecting skv_4 skv_4)), skv_1, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( (line_connecting skv_3 (line_connecting skv_4 skv_4)), skv_3, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( (line_connecting skv_3 (line_connecting skv_4 skv_4)), skv_4, (line_connecting skv_4 skv_4) ) 47.72/48.00 ( (line_connecting skv_3 (line_connecting skv_4 skv_4)), (line_connecting skv_4 skv_4), skv_1 ) 47.72/48.00 ( (line_connecting skv_3 (line_connecting skv_4 skv_4)), (line_connecting skv_4 skv_4), skv_3 ) 47.72/48.00 ( (line_connecting skv_3 (line_connecting skv_4 skv_4)), (line_connecting skv_4 skv_4), skv_4 ) 47.72/48.00 ) 47.72/48.00 (instantiation (forall ((L $$unsorted) (A $$unsorted)) (or (not (point A)) (not (line L)) (line (parallel_through_point L A))) ) 47.72/48.00 ( skv_1, skv_4 ) 47.72/48.00 ( (reverse_line (line_connecting skv_1 skv_3)), skv_4 ) 47.72/48.00 ) 47.72/48.00 % SZS output end Proof for theBenchmark 47.72/48.00 EOF