TSTP Solution File: ARI081_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI081_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 16:33:09 EDT 2024
% Result : Theorem 0.21s 0.51s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ARI081_1 : TPTP v8.2.0. Released v5.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 27 05:32:24 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_ARI
% 0.21/0.51 --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.51 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.p2kG7dFMwx/cvc5---1.0.5_23510.smt2
% 0.21/0.51 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.p2kG7dFMwx/cvc5---1.0.5_23510.smt2
% 0.21/0.51 (assume a0 (not (forall ((Z1 Int) (Z2 Int)) (=> (and (= (+ 6 7) Z1) (= (+ 7 6) Z2)) (= Z1 Z2)))))
% 0.21/0.51 (assume a1 true)
% 0.21/0.51 (step t1 (cl (not (= (not (forall ((Z1 Int) (Z2 Int)) (=> (and (= (+ 6 7) Z1) (= (+ 7 6) Z2)) (= Z1 Z2)))) false)) (not (not (forall ((Z1 Int) (Z2 Int)) (=> (and (= (+ 6 7) Z1) (= (+ 7 6) Z2)) (= Z1 Z2))))) false) :rule equiv_pos2)
% 0.21/0.51 (anchor :step t2 :args ((Z1 Int) (:= Z1 Z1) (Z2 Int) (:= Z2 Z2)))
% 0.21/0.51 (step t2.t1 (cl (= Z1 Z1)) :rule refl)
% 0.21/0.51 (step t2.t2 (cl (= Z2 Z2)) :rule refl)
% 0.21/0.51 (step t2.t3 (cl (= (+ 6 7) 13)) :rule all_simplify)
% 0.21/0.51 (step t2.t4 (cl (= Z1 Z1)) :rule refl)
% 0.21/0.51 (step t2.t5 (cl (= (= (+ 6 7) Z1) (= 13 Z1))) :rule cong :premises (t2.t3 t2.t4))
% 0.21/0.51 (step t2.t6 (cl (= (= 13 Z1) (= Z1 13))) :rule all_simplify)
% 0.21/0.51 (step t2.t7 (cl (= (= (+ 6 7) Z1) (= Z1 13))) :rule trans :premises (t2.t5 t2.t6))
% 0.21/0.51 (step t2.t8 (cl (= (+ 7 6) 13)) :rule all_simplify)
% 0.21/0.51 (step t2.t9 (cl (= Z2 Z2)) :rule refl)
% 0.21/0.51 (step t2.t10 (cl (= (= (+ 7 6) Z2) (= 13 Z2))) :rule cong :premises (t2.t8 t2.t9))
% 0.21/0.51 (step t2.t11 (cl (= (= 13 Z2) (= Z2 13))) :rule all_simplify)
% 0.21/0.51 (step t2.t12 (cl (= (= (+ 7 6) Z2) (= Z2 13))) :rule trans :premises (t2.t10 t2.t11))
% 0.21/0.51 (step t2.t13 (cl (= (and (= (+ 6 7) Z1) (= (+ 7 6) Z2)) (and (= Z1 13) (= Z2 13)))) :rule cong :premises (t2.t7 t2.t12))
% 0.21/0.51 (step t2.t14 (cl (= (= Z1 Z2) (= Z1 Z2))) :rule refl)
% 0.21/0.51 (step t2.t15 (cl (= (=> (and (= (+ 6 7) Z1) (= (+ 7 6) Z2)) (= Z1 Z2)) (=> (and (= Z1 13) (= Z2 13)) (= Z1 Z2)))) :rule cong :premises (t2.t13 t2.t14))
% 0.21/0.51 (step t2 (cl (= (forall ((Z1 Int) (Z2 Int)) (=> (and (= (+ 6 7) Z1) (= (+ 7 6) Z2)) (= Z1 Z2))) (forall ((Z1 Int) (Z2 Int)) (=> (and (= Z1 13) (= Z2 13)) (= Z1 Z2))))) :rule bind)
% 0.21/0.51 (step t3 (cl (= (forall ((Z1 Int) (Z2 Int)) (=> (and (= Z1 13) (= Z2 13)) (= Z1 Z2))) (forall ((Z1 Int) (Z2 Int)) (or (not (= Z1 13)) (not (= Z2 13)) (= Z1 Z2))))) :rule all_simplify)
% 0.21/0.51 (step t4 (cl (= (forall ((Z1 Int) (Z2 Int)) (or (not (= Z1 13)) (not (= Z2 13)) (= Z1 Z2))) (or (not (= 13 13)) (not (= 13 13)) (= 13 13)))) :rule all_simplify)
% 0.21/0.51 (step t5 (cl (= (= 13 13) true)) :rule all_simplify)
% 0.21/0.51 (step t6 (cl (= (not (= 13 13)) (not true))) :rule cong :premises (t5))
% 0.21/0.51 (step t7 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.51 (step t8 (cl (= (not (= 13 13)) false)) :rule trans :premises (t6 t7))
% 0.21/0.51 (step t9 (cl (= (or (not (= 13 13)) (not (= 13 13)) (= 13 13)) (or false false true))) :rule cong :premises (t8 t8 t5))
% 0.21/0.51 (step t10 (cl (= (or false false true) true)) :rule all_simplify)
% 0.21/0.51 (step t11 (cl (= (or (not (= 13 13)) (not (= 13 13)) (= 13 13)) true)) :rule trans :premises (t9 t10))
% 0.21/0.51 (step t12 (cl (= (forall ((Z1 Int) (Z2 Int)) (or (not (= Z1 13)) (not (= Z2 13)) (= Z1 Z2))) true)) :rule trans :premises (t4 t11))
% 0.21/0.51 (step t13 (cl (= (forall ((Z1 Int) (Z2 Int)) (=> (and (= Z1 13) (= Z2 13)) (= Z1 Z2))) true)) :rule trans :premises (t3 t12))
% 0.21/0.51 (step t14 (cl (= (forall ((Z1 Int) (Z2 Int)) (=> (and (= (+ 6 7) Z1) (= (+ 7 6) Z2)) (= Z1 Z2))) true)) :rule trans :premises (t2 t13))
% 0.21/0.51 (step t15 (cl (= (not (forall ((Z1 Int) (Z2 Int)) (=> (and (= (+ 6 7) Z1) (= (+ 7 6) Z2)) (= Z1 Z2)))) (not true))) :rule cong :premises (t14))
% 0.21/0.51 (step t16 (cl (= (not (forall ((Z1 Int) (Z2 Int)) (=> (and (= (+ 6 7) Z1) (= (+ 7 6) Z2)) (= Z1 Z2)))) false)) :rule trans :premises (t15 t7))
% 0.21/0.51 (step t17 (cl false) :rule resolution :premises (t1 t16 a0))
% 0.21/0.51 (step t18 (cl (not false)) :rule false)
% 0.21/0.51 (step t19 (cl) :rule resolution :premises (t17 t18))
% 0.21/0.51
% 0.21/0.51 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.p2kG7dFMwx/cvc5---1.0.5_23510.smt2
% 0.21/0.51 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
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