TSTP Solution File: NUM914_1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM914_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n029.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 17:35:19 EDT 2024
% Result : Theorem 0.18s 0.51s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM914_1 : TPTP v8.2.0. Released v5.0.0.
% 0.06/0.13 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 28 04:06:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.48 %----Proving TF0_ARI
% 0.18/0.51 --- Run --finite-model-find --decision=internal at 15...
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.yXE1ox0vV4/cvc5---1.0.5_9923.smt2
% 0.18/0.51 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.yXE1ox0vV4/cvc5---1.0.5_9923.smt2
% 0.18/0.51 (assume a0 (not (exists ((X Real) (Y Real) (Z Real)) (= (= (+ X Y) Z) (and (= (- Z Y) X) (= (- Z X) Y))))))
% 0.18/0.51 (assume a1 true)
% 0.18/0.51 (step t1 (cl (not (= (not (exists ((X Real) (Y Real) (Z Real)) (= (= (+ X Y) Z) (and (= (- Z Y) X) (= (- Z X) Y))))) false)) (not (not (exists ((X Real) (Y Real) (Z Real)) (= (= (+ X Y) Z) (and (= (- Z Y) X) (= (- Z X) Y)))))) false) :rule equiv_pos2)
% 0.18/0.51 (anchor :step t2 :args ((X Real) (:= X X) (Y Real) (:= Y Y) (Z Real) (:= Z Z)))
% 0.18/0.51 (step t2.t1 (cl (= X X)) :rule refl)
% 0.18/0.51 (step t2.t2 (cl (= Y Y)) :rule refl)
% 0.18/0.51 (step t2.t3 (cl (= Z Z)) :rule refl)
% 0.18/0.51 (step t2.t4 (cl (= (= (+ X Y) Z) (= X (+ (* (- 1) Y) Z)))) :rule all_simplify)
% 0.18/0.51 (step t2.t5 (cl (= (- Z Y) (+ Z (* (- 1.0) Y)))) :rule all_simplify)
% 0.18/0.51 (step t2.t6 (cl (= Z Z)) :rule refl)
% 0.18/0.51 (step t2.t7 (cl (= (* (- 1.0) Y) (* (- 1) Y))) :rule all_simplify)
% 0.18/0.51 (step t2.t8 (cl (= (+ Z (* (- 1.0) Y)) (+ Z (* (- 1) Y)))) :rule cong :premises (t2.t6 t2.t7))
% 0.18/0.51 (step t2.t9 (cl (= (+ Z (* (- 1) Y)) (+ (* (- 1) Y) Z))) :rule all_simplify)
% 0.18/0.51 (step t2.t10 (cl (= (+ Z (* (- 1.0) Y)) (+ (* (- 1) Y) Z))) :rule trans :premises (t2.t8 t2.t9))
% 0.18/0.51 (step t2.t11 (cl (= (- Z Y) (+ (* (- 1) Y) Z))) :rule trans :premises (t2.t5 t2.t10))
% 0.18/0.51 (step t2.t12 (cl (= X X)) :rule refl)
% 0.18/0.51 (step t2.t13 (cl (= (= (- Z Y) X) (= (+ (* (- 1) Y) Z) X))) :rule cong :premises (t2.t11 t2.t12))
% 0.18/0.51 (step t2.t14 (cl (= (= (+ (* (- 1) Y) Z) X) (= X (+ (* (- 1) Y) Z)))) :rule all_simplify)
% 0.18/0.51 (step t2.t15 (cl (= (= (- Z Y) X) (= X (+ (* (- 1) Y) Z)))) :rule trans :premises (t2.t13 t2.t14))
% 0.18/0.51 (step t2.t16 (cl (= (- Z X) (+ Z (* (- 1.0) X)))) :rule all_simplify)
% 0.18/0.51 (step t2.t17 (cl (= (* (- 1.0) X) (* (- 1) X))) :rule all_simplify)
% 0.18/0.51 (step t2.t18 (cl (= (+ Z (* (- 1.0) X)) (+ Z (* (- 1) X)))) :rule cong :premises (t2.t6 t2.t17))
% 0.18/0.51 (step t2.t19 (cl (= (+ Z (* (- 1) X)) (+ (* (- 1) X) Z))) :rule all_simplify)
% 0.18/0.51 (step t2.t20 (cl (= (+ Z (* (- 1.0) X)) (+ (* (- 1) X) Z))) :rule trans :premises (t2.t18 t2.t19))
% 0.18/0.51 (step t2.t21 (cl (= (- Z X) (+ (* (- 1) X) Z))) :rule trans :premises (t2.t16 t2.t20))
% 0.18/0.51 (step t2.t22 (cl (= Y Y)) :rule refl)
% 0.18/0.51 (step t2.t23 (cl (= (= (- Z X) Y) (= (+ (* (- 1) X) Z) Y))) :rule cong :premises (t2.t21 t2.t22))
% 0.18/0.51 (step t2.t24 (cl (= (= (+ (* (- 1) X) Z) Y) (= X (+ (* (- 1) Y) Z)))) :rule all_simplify)
% 0.18/0.51 (step t2.t25 (cl (= (= (- Z X) Y) (= X (+ (* (- 1) Y) Z)))) :rule trans :premises (t2.t23 t2.t24))
% 0.18/0.51 (step t2.t26 (cl (= (and (= (- Z Y) X) (= (- Z X) Y)) (and (= X (+ (* (- 1) Y) Z)) (= X (+ (* (- 1) Y) Z))))) :rule cong :premises (t2.t15 t2.t25))
% 0.18/0.51 (step t2.t27 (cl (= (and (= X (+ (* (- 1) Y) Z)) (= X (+ (* (- 1) Y) Z))) (= X (+ (* (- 1) Y) Z)))) :rule all_simplify)
% 0.18/0.51 (step t2.t28 (cl (= (and (= (- Z Y) X) (= (- Z X) Y)) (= X (+ (* (- 1) Y) Z)))) :rule trans :premises (t2.t26 t2.t27))
% 0.18/0.51 (step t2.t29 (cl (= (= (= (+ X Y) Z) (and (= (- Z Y) X) (= (- Z X) Y))) (= (= X (+ (* (- 1) Y) Z)) (= X (+ (* (- 1) Y) Z))))) :rule cong :premises (t2.t4 t2.t28))
% 0.18/0.51 (step t2.t30 (cl (= (= (= X (+ (* (- 1) Y) Z)) (= X (+ (* (- 1) Y) Z))) true)) :rule all_simplify)
% 0.18/0.51 (step t2.t31 (cl (= (= (= (+ X Y) Z) (and (= (- Z Y) X) (= (- Z X) Y))) true)) :rule trans :premises (t2.t29 t2.t30))
% 0.18/0.51 (step t2 (cl (= (exists ((X Real) (Y Real) (Z Real)) (= (= (+ X Y) Z) (and (= (- Z Y) X) (= (- Z X) Y)))) (exists ((X Real) (Y Real) (Z Real)) true))) :rule bind)
% 0.18/0.51 (step t3 (cl (= (exists ((X Real) (Y Real) (Z Real)) true) (not (forall ((X Real) (Y Real) (Z Real)) (not true))))) :rule all_simplify)
% 0.18/0.51 (anchor :step t4 :args ((X Real) (:= X X) (Y Real) (:= Y Y) (Z Real) (:= Z Z)))
% 0.18/0.51 (step t4.t1 (cl (= X X)) :rule refl)
% 0.18/0.51 (step t4.t2 (cl (= Y Y)) :rule refl)
% 0.18/0.51 (step t4.t3 (cl (= Z Z)) :rule refl)
% 0.18/0.51 (step t4.t4 (cl (= (not true) false)) :rule all_simplify)
% 0.18/0.51 (step t4 (cl (= (forall ((X Real) (Y Real) (Z Real)) (not true)) (forall ((X Real) (Y Real) (Z Real)) false))) :rule bind)
% 0.18/0.51 (step t5 (cl (= (forall ((X Real) (Y Real) (Z Real)) false) false)) :rule all_simplify)
% 0.18/0.51 (step t6 (cl (= (forall ((X Real) (Y Real) (Z Real)) (not true)) false)) :rule trans :premises (t4 t5))
% 0.18/0.51 (step t7 (cl (= (not (forall ((X Real) (Y Real) (Z Real)) (not true))) (not false))) :rule cong :premises (t6))
% 0.18/0.51 (step t8 (cl (= (not false) true)) :rule all_simplify)
% 0.18/0.51 (step t9 (cl (= (not (forall ((X Real) (Y Real) (Z Real)) (not true))) true)) :rule trans :premises (t7 t8))
% 0.18/0.51 (step t10 (cl (= (exists ((X Real) (Y Real) (Z Real)) true) true)) :rule trans :premises (t3 t9))
% 0.18/0.51 (step t11 (cl (= (exists ((X Real) (Y Real) (Z Real)) (= (= (+ X Y) Z) (and (= (- Z Y) X) (= (- Z X) Y)))) true)) :rule trans :premises (t2 t10))
% 0.18/0.51 (step t12 (cl (= (not (exists ((X Real) (Y Real) (Z Real)) (= (= (+ X Y) Z) (and (= (- Z Y) X) (= (- Z X) Y))))) (not true))) :rule cong :premises (t11))
% 0.18/0.51 (step t13 (cl (= (not true) false)) :rule all_simplify)
% 0.18/0.51 (step t14 (cl (= (not (exists ((X Real) (Y Real) (Z Real)) (= (= (+ X Y) Z) (and (= (- Z Y) X) (= (- Z X) Y))))) false)) :rule trans :premises (t12 t13))
% 0.18/0.51 (step t15 (cl false) :rule resolution :premises (t1 t14 a0))
% 0.18/0.51 (step t16 (cl (not false)) :rule false)
% 0.18/0.51 (step t17 (cl) :rule resolution :premises (t15 t16))
% 0.18/0.51
% 0.18/0.51 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.yXE1ox0vV4/cvc5---1.0.5_9923.smt2
% 0.18/0.51 % cvc5---1.0.5 exiting
% 0.18/0.51 % cvc5---1.0.5 exiting
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