TSTP Solution File: ARI123_1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI123_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n015.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 16:33:15 EDT 2024

% Result   : Theorem 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : ARI123_1 : TPTP v8.2.0. Released v5.0.0.
% 0.14/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 27 05:41:09 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_ARI
% 0.20/0.52  --- Run --finite-model-find --decision=internal at 15...
% 0.20/0.52  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.0ExXnloWnM/cvc5---1.0.5_9702.smt2
% 0.20/0.52  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.0ExXnloWnM/cvc5---1.0.5_9702.smt2
% 0.20/0.52  (assume a0 (not (exists ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (=> (and (= (* X Y) Z1) (= (* Z1 Z) Z2) (= (* Y Z) Z3) (= (* X Z3) Z4)) (= Z2 Z4)))))
% 0.20/0.52  (assume a1 true)
% 0.20/0.52  (step t1 (cl (not (= (not (exists ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (=> (and (= (* X Y) Z1) (= (* Z1 Z) Z2) (= (* Y Z) Z3) (= (* X Z3) Z4)) (= Z2 Z4)))) false)) (not (not (exists ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (=> (and (= (* X Y) Z1) (= (* Z1 Z) Z2) (= (* Y Z) Z3) (= (* X Z3) Z4)) (= Z2 Z4))))) false) :rule equiv_pos2)
% 0.20/0.52  (anchor :step t2 :args ((X Int) (:= X X) (Y Int) (:= Y Y) (Z Int) (:= Z Z) (Z1 Int) (:= Z1 Z1) (Z2 Int) (:= Z2 Z2) (Z3 Int) (:= Z3 Z3) (Z4 Int) (:= Z4 Z4)))
% 0.20/0.52  (step t2.t1 (cl (= X X)) :rule refl)
% 0.20/0.52  (step t2.t2 (cl (= Y Y)) :rule refl)
% 0.20/0.52  (step t2.t3 (cl (= Z Z)) :rule refl)
% 0.20/0.52  (step t2.t4 (cl (= Z1 Z1)) :rule refl)
% 0.20/0.52  (step t2.t5 (cl (= Z2 Z2)) :rule refl)
% 0.20/0.52  (step t2.t6 (cl (= Z3 Z3)) :rule refl)
% 0.20/0.52  (step t2.t7 (cl (= Z4 Z4)) :rule refl)
% 0.20/0.52  (step t2.t8 (cl (= (* X Y) (* X Y))) :rule all_simplify)
% 0.20/0.52  (step t2.t9 (cl (= Z1 Z1)) :rule refl)
% 0.20/0.52  (step t2.t10 (cl (= (= (* X Y) Z1) (= (* X Y) Z1))) :rule cong :premises (t2.t8 t2.t9))
% 0.20/0.52  (step t2.t11 (cl (= (= (* X Y) Z1) (= Z1 (* X Y)))) :rule all_simplify)
% 0.20/0.52  (step t2.t12 (cl (= (= (* X Y) Z1) (= Z1 (* X Y)))) :rule trans :premises (t2.t10 t2.t11))
% 0.20/0.52  (step t2.t13 (cl (= (* Z1 Z) (* Z Z1))) :rule all_simplify)
% 0.20/0.52  (step t2.t14 (cl (= Z2 Z2)) :rule refl)
% 0.20/0.52  (step t2.t15 (cl (= (= (* Z1 Z) Z2) (= (* Z Z1) Z2))) :rule cong :premises (t2.t13 t2.t14))
% 0.20/0.52  (step t2.t16 (cl (= (= (* Z Z1) Z2) (= Z2 (* Z Z1)))) :rule all_simplify)
% 0.20/0.52  (step t2.t17 (cl (= (= (* Z1 Z) Z2) (= Z2 (* Z Z1)))) :rule trans :premises (t2.t15 t2.t16))
% 0.20/0.52  (step t2.t18 (cl (= (* Y Z) (* Y Z))) :rule all_simplify)
% 0.20/0.52  (step t2.t19 (cl (= Z3 Z3)) :rule refl)
% 0.20/0.52  (step t2.t20 (cl (= (= (* Y Z) Z3) (= (* Y Z) Z3))) :rule cong :premises (t2.t18 t2.t19))
% 0.20/0.52  (step t2.t21 (cl (= (= (* Y Z) Z3) (= Z3 (* Y Z)))) :rule all_simplify)
% 0.20/0.52  (step t2.t22 (cl (= (= (* Y Z) Z3) (= Z3 (* Y Z)))) :rule trans :premises (t2.t20 t2.t21))
% 0.20/0.52  (step t2.t23 (cl (= (* X Z3) (* X Z3))) :rule all_simplify)
% 0.20/0.52  (step t2.t24 (cl (= Z4 Z4)) :rule refl)
% 0.20/0.52  (step t2.t25 (cl (= (= (* X Z3) Z4) (= (* X Z3) Z4))) :rule cong :premises (t2.t23 t2.t24))
% 0.20/0.52  (step t2.t26 (cl (= (= (* X Z3) Z4) (= Z4 (* X Z3)))) :rule all_simplify)
% 0.20/0.52  (step t2.t27 (cl (= (= (* X Z3) Z4) (= Z4 (* X Z3)))) :rule trans :premises (t2.t25 t2.t26))
% 0.20/0.52  (step t2.t28 (cl (= (and (= (* X Y) Z1) (= (* Z1 Z) Z2) (= (* Y Z) Z3) (= (* X Z3) Z4)) (and (= Z1 (* X Y)) (= Z2 (* Z Z1)) (= Z3 (* Y Z)) (= Z4 (* X Z3))))) :rule cong :premises (t2.t12 t2.t17 t2.t22 t2.t27))
% 0.20/0.52  (step t2.t29 (cl (= (= Z2 Z4) (= Z2 Z4))) :rule refl)
% 0.20/0.52  (step t2.t30 (cl (= (=> (and (= (* X Y) Z1) (= (* Z1 Z) Z2) (= (* Y Z) Z3) (= (* X Z3) Z4)) (= Z2 Z4)) (=> (and (= Z1 (* X Y)) (= Z2 (* Z Z1)) (= Z3 (* Y Z)) (= Z4 (* X Z3))) (= Z2 Z4)))) :rule cong :premises (t2.t28 t2.t29))
% 0.20/0.52  (step t2 (cl (= (exists ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (=> (and (= (* X Y) Z1) (= (* Z1 Z) Z2) (= (* Y Z) Z3) (= (* X Z3) Z4)) (= Z2 Z4))) (exists ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (=> (and (= Z1 (* X Y)) (= Z2 (* Z Z1)) (= Z3 (* Y Z)) (= Z4 (* X Z3))) (= Z2 Z4))))) :rule bind)
% 0.20/0.52  (step t3 (cl (= (exists ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (=> (and (= Z1 (* X Y)) (= Z2 (* Z Z1)) (= Z3 (* Y Z)) (= Z4 (* X Z3))) (= Z2 Z4))) (not (forall ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (not (=> (and (= Z1 (* X Y)) (= Z2 (* Z Z1)) (= Z3 (* Y Z)) (= Z4 (* X Z3))) (= Z2 Z4))))))) :rule all_simplify)
% 0.20/0.52  (step t4 (cl (= (forall ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (not (=> (and (= Z1 (* X Y)) (= Z2 (* Z Z1)) (= Z3 (* Y Z)) (= Z4 (* X Z3))) (= Z2 Z4)))) (forall ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (and (= Z1 (* X Y)) (= Z2 (* Z Z1)) (= Z3 (* Y Z)) (= Z4 (* X Z3)) (not (= Z2 Z4)))))) :rule all_simplify)
% 0.20/0.52  (step t5 (cl (= (forall ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (and (= Z1 (* X Y)) (= Z2 (* Z Z1)) (= Z3 (* Y Z)) (= Z4 (* X Z3)) (not (= Z2 Z4)))) (and (forall ((BOUND_VARIABLE_615 Int) (BOUND_VARIABLE_617 Int) (BOUND_VARIABLE_619 Int) (BOUND_VARIABLE_621 Int) (BOUND_VARIABLE_623 Int) (BOUND_VARIABLE_625 Int) (BOUND_VARIABLE_627 Int)) (= BOUND_VARIABLE_621 (* BOUND_VARIABLE_615 BOUND_VARIABLE_617))) (forall ((BOUND_VARIABLE_633 Int) (BOUND_VARIABLE_635 Int) (BOUND_VARIABLE_637 Int) (BOUND_VARIABLE_639 Int) (BOUND_VARIABLE_641 Int) (BOUND_VARIABLE_643 Int) (BOUND_VARIABLE_645 Int)) (= BOUND_VARIABLE_641 (* BOUND_VARIABLE_637 BOUND_VARIABLE_639))) (forall ((BOUND_VARIABLE_651 Int) (BOUND_VARIABLE_653 Int) (BOUND_VARIABLE_655 Int) (BOUND_VARIABLE_657 Int) (BOUND_VARIABLE_659 Int) (BOUND_VARIABLE_661 Int) (BOUND_VARIABLE_663 Int)) (= BOUND_VARIABLE_661 (* BOUND_VARIABLE_653 BOUND_VARIABLE_655))) (forall ((BOUND_VARIABLE_670 Int) (BOUND_VARIABLE_672 Int) (BOUND_VARIABLE_674 Int) (BOUND_VARIABLE_676 Int) (BOUND_VARIABLE_678 Int) (BOUND_VARIABLE_680 Int) (BOUND_VARIABLE_682 Int)) (= BOUND_VARIABLE_682 (* BOUND_VARIABLE_670 BOUND_VARIABLE_680))) (forall ((BOUND_VARIABLE_689 Int) (BOUND_VARIABLE_691 Int) (BOUND_VARIABLE_693 Int) (BOUND_VARIABLE_695 Int) (BOUND_VARIABLE_697 Int) (BOUND_VARIABLE_699 Int) (BOUND_VARIABLE_701 Int)) (not (= BOUND_VARIABLE_697 BOUND_VARIABLE_701)))))) :rule all_simplify)
% 0.20/0.52  (step t6 (cl (= (forall ((BOUND_VARIABLE_615 Int) (BOUND_VARIABLE_617 Int) (BOUND_VARIABLE_619 Int) (BOUND_VARIABLE_621 Int) (BOUND_VARIABLE_623 Int) (BOUND_VARIABLE_625 Int) (BOUND_VARIABLE_627 Int)) (= BOUND_VARIABLE_621 (* BOUND_VARIABLE_615 BOUND_VARIABLE_617))) (forall ((BOUND_VARIABLE_615 Int) (BOUND_VARIABLE_617 Int) (BOUND_VARIABLE_621 Int)) (= BOUND_VARIABLE_621 (* BOUND_VARIABLE_615 BOUND_VARIABLE_617))))) :rule all_simplify)
% 0.20/0.52  (step t7 (cl (= (forall ((BOUND_VARIABLE_615 Int) (BOUND_VARIABLE_617 Int) (BOUND_VARIABLE_621 Int)) (= BOUND_VARIABLE_621 (* BOUND_VARIABLE_615 BOUND_VARIABLE_617))) (forall ((BOUND_VARIABLE_615 Int) (BOUND_VARIABLE_617 Int)) false))) :rule all_simplify)
% 0.20/0.52  (step t8 (cl (= (forall ((BOUND_VARIABLE_615 Int) (BOUND_VARIABLE_617 Int)) false) false)) :rule all_simplify)
% 0.20/0.52  (step t9 (cl (= (forall ((BOUND_VARIABLE_615 Int) (BOUND_VARIABLE_617 Int) (BOUND_VARIABLE_621 Int)) (= BOUND_VARIABLE_621 (* BOUND_VARIABLE_615 BOUND_VARIABLE_617))) false)) :rule trans :premises (t7 t8))
% 0.20/0.52  (step t10 (cl (= (forall ((BOUND_VARIABLE_615 Int) (BOUND_VARIABLE_617 Int) (BOUND_VARIABLE_619 Int) (BOUND_VARIABLE_621 Int) (BOUND_VARIABLE_623 Int) (BOUND_VARIABLE_625 Int) (BOUND_VARIABLE_627 Int)) (= BOUND_VARIABLE_621 (* BOUND_VARIABLE_615 BOUND_VARIABLE_617))) false)) :rule trans :premises (t6 t9))
% 0.20/0.52  (step t11 (cl (= (forall ((BOUND_VARIABLE_633 Int) (BOUND_VARIABLE_635 Int) (BOUND_VARIABLE_637 Int) (BOUND_VARIABLE_639 Int) (BOUND_VARIABLE_641 Int) (BOUND_VARIABLE_643 Int) (BOUND_VARIABLE_645 Int)) (= BOUND_VARIABLE_641 (* BOUND_VARIABLE_637 BOUND_VARIABLE_639))) (forall ((BOUND_VARIABLE_637 Int) (BOUND_VARIABLE_639 Int) (BOUND_VARIABLE_641 Int)) (= BOUND_VARIABLE_641 (* BOUND_VARIABLE_637 BOUND_VARIABLE_639))))) :rule all_simplify)
% 0.20/0.52  (step t12 (cl (= (forall ((BOUND_VARIABLE_637 Int) (BOUND_VARIABLE_639 Int) (BOUND_VARIABLE_641 Int)) (= BOUND_VARIABLE_641 (* BOUND_VARIABLE_637 BOUND_VARIABLE_639))) (forall ((BOUND_VARIABLE_637 Int) (BOUND_VARIABLE_639 Int)) false))) :rule all_simplify)
% 0.20/0.52  (step t13 (cl (= (forall ((BOUND_VARIABLE_637 Int) (BOUND_VARIABLE_639 Int)) false) false)) :rule all_simplify)
% 0.20/0.52  (step t14 (cl (= (forall ((BOUND_VARIABLE_637 Int) (BOUND_VARIABLE_639 Int) (BOUND_VARIABLE_641 Int)) (= BOUND_VARIABLE_641 (* BOUND_VARIABLE_637 BOUND_VARIABLE_639))) false)) :rule trans :premises (t12 t13))
% 0.20/0.52  (step t15 (cl (= (forall ((BOUND_VARIABLE_633 Int) (BOUND_VARIABLE_635 Int) (BOUND_VARIABLE_637 Int) (BOUND_VARIABLE_639 Int) (BOUND_VARIABLE_641 Int) (BOUND_VARIABLE_643 Int) (BOUND_VARIABLE_645 Int)) (= BOUND_VARIABLE_641 (* BOUND_VARIABLE_637 BOUND_VARIABLE_639))) false)) :rule trans :premises (t11 t14))
% 0.20/0.52  (step t16 (cl (= (forall ((BOUND_VARIABLE_651 Int) (BOUND_VARIABLE_653 Int) (BOUND_VARIABLE_655 Int) (BOUND_VARIABLE_657 Int) (BOUND_VARIABLE_659 Int) (BOUND_VARIABLE_661 Int) (BOUND_VARIABLE_663 Int)) (= BOUND_VARIABLE_661 (* BOUND_VARIABLE_653 BOUND_VARIABLE_655))) (forall ((BOUND_VARIABLE_653 Int) (BOUND_VARIABLE_655 Int) (BOUND_VARIABLE_661 Int)) (= BOUND_VARIABLE_661 (* BOUND_VARIABLE_653 BOUND_VARIABLE_655))))) :rule all_simplify)
% 0.20/0.52  (step t17 (cl (= (forall ((BOUND_VARIABLE_653 Int) (BOUND_VARIABLE_655 Int) (BOUND_VARIABLE_661 Int)) (= BOUND_VARIABLE_661 (* BOUND_VARIABLE_653 BOUND_VARIABLE_655))) (forall ((BOUND_VARIABLE_653 Int) (BOUND_VARIABLE_655 Int)) false))) :rule all_simplify)
% 0.20/0.52  (step t18 (cl (= (forall ((BOUND_VARIABLE_653 Int) (BOUND_VARIABLE_655 Int)) false) false)) :rule all_simplify)
% 0.20/0.52  (step t19 (cl (= (forall ((BOUND_VARIABLE_653 Int) (BOUND_VARIABLE_655 Int) (BOUND_VARIABLE_661 Int)) (= BOUND_VARIABLE_661 (* BOUND_VARIABLE_653 BOUND_VARIABLE_655))) false)) :rule trans :premises (t17 t18))
% 0.20/0.52  (step t20 (cl (= (forall ((BOUND_VARIABLE_651 Int) (BOUND_VARIABLE_653 Int) (BOUND_VARIABLE_655 Int) (BOUND_VARIABLE_657 Int) (BOUND_VARIABLE_659 Int) (BOUND_VARIABLE_661 Int) (BOUND_VARIABLE_663 Int)) (= BOUND_VARIABLE_661 (* BOUND_VARIABLE_653 BOUND_VARIABLE_655))) false)) :rule trans :premises (t16 t19))
% 0.20/0.52  (step t21 (cl (= (forall ((BOUND_VARIABLE_670 Int) (BOUND_VARIABLE_672 Int) (BOUND_VARIABLE_674 Int) (BOUND_VARIABLE_676 Int) (BOUND_VARIABLE_678 Int) (BOUND_VARIABLE_680 Int) (BOUND_VARIABLE_682 Int)) (= BOUND_VARIABLE_682 (* BOUND_VARIABLE_670 BOUND_VARIABLE_680))) (forall ((BOUND_VARIABLE_670 Int) (BOUND_VARIABLE_680 Int) (BOUND_VARIABLE_682 Int)) (= BOUND_VARIABLE_682 (* BOUND_VARIABLE_670 BOUND_VARIABLE_680))))) :rule all_simplify)
% 0.20/0.52  (step t22 (cl (= (forall ((BOUND_VARIABLE_670 Int) (BOUND_VARIABLE_680 Int) (BOUND_VARIABLE_682 Int)) (= BOUND_VARIABLE_682 (* BOUND_VARIABLE_670 BOUND_VARIABLE_680))) (forall ((BOUND_VARIABLE_670 Int) (BOUND_VARIABLE_680 Int)) false))) :rule all_simplify)
% 0.20/0.52  (step t23 (cl (= (forall ((BOUND_VARIABLE_670 Int) (BOUND_VARIABLE_680 Int)) false) false)) :rule all_simplify)
% 0.20/0.52  (step t24 (cl (= (forall ((BOUND_VARIABLE_670 Int) (BOUND_VARIABLE_680 Int) (BOUND_VARIABLE_682 Int)) (= BOUND_VARIABLE_682 (* BOUND_VARIABLE_670 BOUND_VARIABLE_680))) false)) :rule trans :premises (t22 t23))
% 0.20/0.52  (step t25 (cl (= (forall ((BOUND_VARIABLE_670 Int) (BOUND_VARIABLE_672 Int) (BOUND_VARIABLE_674 Int) (BOUND_VARIABLE_676 Int) (BOUND_VARIABLE_678 Int) (BOUND_VARIABLE_680 Int) (BOUND_VARIABLE_682 Int)) (= BOUND_VARIABLE_682 (* BOUND_VARIABLE_670 BOUND_VARIABLE_680))) false)) :rule trans :premises (t21 t24))
% 0.20/0.52  (step t26 (cl (= (forall ((BOUND_VARIABLE_689 Int) (BOUND_VARIABLE_691 Int) (BOUND_VARIABLE_693 Int) (BOUND_VARIABLE_695 Int) (BOUND_VARIABLE_697 Int) (BOUND_VARIABLE_699 Int) (BOUND_VARIABLE_701 Int)) (not (= BOUND_VARIABLE_697 BOUND_VARIABLE_701))) (forall ((BOUND_VARIABLE_697 Int) (BOUND_VARIABLE_701 Int)) (not (= BOUND_VARIABLE_697 BOUND_VARIABLE_701))))) :rule all_simplify)
% 0.20/0.52  (step t27 (cl (= (forall ((BOUND_VARIABLE_697 Int) (BOUND_VARIABLE_701 Int)) (not (= BOUND_VARIABLE_697 BOUND_VARIABLE_701))) (forall ((BOUND_VARIABLE_701 Int)) (not (= BOUND_VARIABLE_701 BOUND_VARIABLE_701))))) :rule all_simplify)
% 0.20/0.52  (anchor :step t28 :args ((BOUND_VARIABLE_701 Int) (:= BOUND_VARIABLE_701 BOUND_VARIABLE_701)))
% 0.20/0.52  (step t28.t1 (cl (= BOUND_VARIABLE_701 BOUND_VARIABLE_701)) :rule refl)
% 0.20/0.52  (step t28.t2 (cl (= (= BOUND_VARIABLE_701 BOUND_VARIABLE_701) true)) :rule all_simplify)
% 0.20/0.52  (step t28.t3 (cl (= (not (= BOUND_VARIABLE_701 BOUND_VARIABLE_701)) (not true))) :rule cong :premises (t28.t2))
% 0.20/0.52  (step t28.t4 (cl (= (not true) false)) :rule all_simplify)
% 0.20/0.52  (step t28.t5 (cl (= (not (= BOUND_VARIABLE_701 BOUND_VARIABLE_701)) false)) :rule trans :premises (t28.t3 t28.t4))
% 0.20/0.52  (step t28 (cl (= (forall ((BOUND_VARIABLE_701 Int)) (not (= BOUND_VARIABLE_701 BOUND_VARIABLE_701))) (forall ((BOUND_VARIABLE_701 Int)) false))) :rule bind)
% 0.20/0.52  (step t29 (cl (= (forall ((BOUND_VARIABLE_701 Int)) false) false)) :rule all_simplify)
% 0.20/0.52  (step t30 (cl (= (forall ((BOUND_VARIABLE_701 Int)) (not (= BOUND_VARIABLE_701 BOUND_VARIABLE_701))) false)) :rule trans :premises (t28 t29))
% 0.20/0.52  (step t31 (cl (= (forall ((BOUND_VARIABLE_697 Int) (BOUND_VARIABLE_701 Int)) (not (= BOUND_VARIABLE_697 BOUND_VARIABLE_701))) false)) :rule trans :premises (t27 t30))
% 0.20/0.52  (step t32 (cl (= (forall ((BOUND_VARIABLE_689 Int) (BOUND_VARIABLE_691 Int) (BOUND_VARIABLE_693 Int) (BOUND_VARIABLE_695 Int) (BOUND_VARIABLE_697 Int) (BOUND_VARIABLE_699 Int) (BOUND_VARIABLE_701 Int)) (not (= BOUND_VARIABLE_697 BOUND_VARIABLE_701))) false)) :rule trans :premises (t26 t31))
% 0.20/0.52  (step t33 (cl (= (and (forall ((BOUND_VARIABLE_615 Int) (BOUND_VARIABLE_617 Int) (BOUND_VARIABLE_619 Int) (BOUND_VARIABLE_621 Int) (BOUND_VARIABLE_623 Int) (BOUND_VARIABLE_625 Int) (BOUND_VARIABLE_627 Int)) (= BOUND_VARIABLE_621 (* BOUND_VARIABLE_615 BOUND_VARIABLE_617))) (forall ((BOUND_VARIABLE_633 Int) (BOUND_VARIABLE_635 Int) (BOUND_VARIABLE_637 Int) (BOUND_VARIABLE_639 Int) (BOUND_VARIABLE_641 Int) (BOUND_VARIABLE_643 Int) (BOUND_VARIABLE_645 Int)) (= BOUND_VARIABLE_641 (* BOUND_VARIABLE_637 BOUND_VARIABLE_639))) (forall ((BOUND_VARIABLE_651 Int) (BOUND_VARIABLE_653 Int) (BOUND_VARIABLE_655 Int) (BOUND_VARIABLE_657 Int) (BOUND_VARIABLE_659 Int) (BOUND_VARIABLE_661 Int) (BOUND_VARIABLE_663 Int)) (= BOUND_VARIABLE_661 (* BOUND_VARIABLE_653 BOUND_VARIABLE_655))) (forall ((BOUND_VARIABLE_670 Int) (BOUND_VARIABLE_672 Int) (BOUND_VARIABLE_674 Int) (BOUND_VARIABLE_676 Int) (BOUND_VARIABLE_678 Int) (BOUND_VARIABLE_680 Int) (BOUND_VARIABLE_682 Int)) (= BOUND_VARIABLE_682 (* BOUND_VARIABLE_670 BOUND_VARIABLE_680))) (forall ((BOUND_VARIABLE_689 Int) (BOUND_VARIABLE_691 Int) (BOUND_VARIABLE_693 Int) (BOUND_VARIABLE_695 Int) (BOUND_VARIABLE_697 Int) (BOUND_VARIABLE_699 Int) (BOUND_VARIABLE_701 Int)) (not (= BOUND_VARIABLE_697 BOUND_VARIABLE_701)))) (and false false false false false))) :rule cong :premises (t10 t15 t20 t25 t32))
% 0.20/0.52  (step t34 (cl (= (and false false false false false) false)) :rule all_simplify)
% 0.20/0.52  (step t35 (cl (= (and (forall ((BOUND_VARIABLE_615 Int) (BOUND_VARIABLE_617 Int) (BOUND_VARIABLE_619 Int) (BOUND_VARIABLE_621 Int) (BOUND_VARIABLE_623 Int) (BOUND_VARIABLE_625 Int) (BOUND_VARIABLE_627 Int)) (= BOUND_VARIABLE_621 (* BOUND_VARIABLE_615 BOUND_VARIABLE_617))) (forall ((BOUND_VARIABLE_633 Int) (BOUND_VARIABLE_635 Int) (BOUND_VARIABLE_637 Int) (BOUND_VARIABLE_639 Int) (BOUND_VARIABLE_641 Int) (BOUND_VARIABLE_643 Int) (BOUND_VARIABLE_645 Int)) (= BOUND_VARIABLE_641 (* BOUND_VARIABLE_637 BOUND_VARIABLE_639))) (forall ((BOUND_VARIABLE_651 Int) (BOUND_VARIABLE_653 Int) (BOUND_VARIABLE_655 Int) (BOUND_VARIABLE_657 Int) (BOUND_VARIABLE_659 Int) (BOUND_VARIABLE_661 Int) (BOUND_VARIABLE_663 Int)) (= BOUND_VARIABLE_661 (* BOUND_VARIABLE_653 BOUND_VARIABLE_655))) (forall ((BOUND_VARIABLE_670 Int) (BOUND_VARIABLE_672 Int) (BOUND_VARIABLE_674 Int) (BOUND_VARIABLE_676 Int) (BOUND_VARIABLE_678 Int) (BOUND_VARIABLE_680 Int) (BOUND_VARIABLE_682 Int)) (= BOUND_VARIABLE_682 (* BOUND_VARIABLE_670 BOUND_VARIABLE_680))) (forall ((BOUND_VARIABLE_689 Int) (BOUND_VARIABLE_691 Int) (BOUND_VARIABLE_693 Int) (BOUND_VARIABLE_695 Int) (BOUND_VARIABLE_697 Int) (BOUND_VARIABLE_699 Int) (BOUND_VARIABLE_701 Int)) (not (= BOUND_VARIABLE_697 BOUND_VARIABLE_701)))) false)) :rule trans :premises (t33 t34))
% 0.20/0.52  (step t36 (cl (= (forall ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (and (= Z1 (* X Y)) (= Z2 (* Z Z1)) (= Z3 (* Y Z)) (= Z4 (* X Z3)) (not (= Z2 Z4)))) false)) :rule trans :premises (t5 t35))
% 0.20/0.52  (step t37 (cl (= (forall ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (not (=> (and (= Z1 (* X Y)) (= Z2 (* Z Z1)) (= Z3 (* Y Z)) (= Z4 (* X Z3))) (= Z2 Z4)))) false)) :rule trans :premises (t4 t36))
% 0.20/0.52  (step t38 (cl (= (not (forall ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (not (=> (and (= Z1 (* X Y)) (= Z2 (* Z Z1)) (= Z3 (* Y Z)) (= Z4 (* X Z3))) (= Z2 Z4))))) (not false))) :rule cong :premises (t37))
% 0.20/0.52  (step t39 (cl (= (not false) true)) :rule all_simplify)
% 0.20/0.52  (step t40 (cl (= (not (forall ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (not (=> (and (= Z1 (* X Y)) (= Z2 (* Z Z1)) (= Z3 (* Y Z)) (= Z4 (* X Z3))) (= Z2 Z4))))) true)) :rule trans :premises (t38 t39))
% 0.20/0.53  (step t41 (cl (= (exists ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (=> (and (= Z1 (* X Y)) (= Z2 (* Z Z1)) (= Z3 (* Y Z)) (= Z4 (* X Z3))) (= Z2 Z4))) true)) :rule trans :premises (t3 t40))
% 0.20/0.53  (step t42 (cl (= (exists ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (=> (and (= (* X Y) Z1) (= (* Z1 Z) Z2) (= (* Y Z) Z3) (= (* X Z3) Z4)) (= Z2 Z4))) true)) :rule trans :premises (t2 t41))
% 0.20/0.53  (step t43 (cl (= (not (exists ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (=> (and (= (* X Y) Z1) (= (* Z1 Z) Z2) (= (* Y Z) Z3) (= (* X Z3) Z4)) (= Z2 Z4)))) (not true))) :rule cong :premises (t42))
% 0.20/0.53  (step t44 (cl (= (not true) false)) :rule all_simplify)
% 0.20/0.53  (step t45 (cl (= (not (exists ((X Int) (Y Int) (Z Int) (Z1 Int) (Z2 Int) (Z3 Int) (Z4 Int)) (=> (and (= (* X Y) Z1) (= (* Z1 Z) Z2) (= (* Y Z) Z3) (= (* X Z3) Z4)) (= Z2 Z4)))) false)) :rule trans :premises (t43 t44))
% 0.20/0.53  (step t46 (cl false) :rule resolution :premises (t1 t45 a0))
% 0.20/0.53  (step t47 (cl (not false)) :rule false)
% 0.20/0.53  (step t48 (cl) :rule resolution :premises (t46 t47))
% 0.20/0.53  
% 0.20/0.53  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.0ExXnloWnM/cvc5---1.0.5_9702.smt2
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------