TSTP Solution File: ARI705_1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI705_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n020.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 16:34:33 EDT 2024
% Result : Theorem 0.21s 0.51s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI705_1 : TPTP v8.2.0. Released v6.3.0.
% 0.03/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n020.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 05:17:54 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.48 %----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.XF3ziwiM8a/cvc5---1.0.5_5774.smt2
% 0.21/0.51 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.XF3ziwiM8a/cvc5---1.0.5_5774.smt2
% 0.21/0.51 (assume a0 (= (* tptp.d tptp.d) (+ (* tptp.d tptp.d) tptp.a)))
% 0.21/0.51 (assume a1 (not (= (* (* (* (* tptp.d tptp.c) tptp.a) tptp.b) 2) 0)))
% 0.21/0.51 (assume a2 true)
% 0.21/0.51 (step t1 (cl (not (= (not (= (* tptp.d tptp.a tptp.c tptp.b) 0)) false)) (not (not (= (* tptp.d tptp.a tptp.c tptp.b) 0))) false) :rule equiv_pos2)
% 0.21/0.51 (step t2 (cl (= tptp.d tptp.d)) :rule refl)
% 0.21/0.51 (step t3 (cl (not (= (= (* tptp.d tptp.d) (+ (* tptp.d tptp.d) tptp.a)) (= tptp.a 0))) (not (= (* tptp.d tptp.d) (+ (* tptp.d tptp.d) tptp.a))) (= tptp.a 0)) :rule equiv_pos2)
% 0.21/0.51 (step t4 (cl (= (* tptp.d tptp.d) (* tptp.d tptp.d))) :rule all_simplify)
% 0.21/0.51 (step t5 (cl (= tptp.a tptp.a)) :rule refl)
% 0.21/0.51 (step t6 (cl (= (+ (* tptp.d tptp.d) tptp.a) (+ (* tptp.d tptp.d) tptp.a))) :rule cong :premises (t4 t5))
% 0.21/0.51 (step t7 (cl (= (+ (* tptp.d tptp.d) tptp.a) (+ tptp.a (* tptp.d tptp.d)))) :rule all_simplify)
% 0.21/0.51 (step t8 (cl (= (+ (* tptp.d tptp.d) tptp.a) (+ tptp.a (* tptp.d tptp.d)))) :rule trans :premises (t6 t7))
% 0.21/0.51 (step t9 (cl (= (= (* tptp.d tptp.d) (+ (* tptp.d tptp.d) tptp.a)) (= (* tptp.d tptp.d) (+ tptp.a (* tptp.d tptp.d))))) :rule cong :premises (t4 t8))
% 0.21/0.51 (step t10 (cl (= (= (* tptp.d tptp.d) (+ tptp.a (* tptp.d tptp.d))) (= tptp.a 0))) :rule all_simplify)
% 0.21/0.51 (step t11 (cl (= (= (* tptp.d tptp.d) (+ (* tptp.d tptp.d) tptp.a)) (= tptp.a 0))) :rule trans :premises (t9 t10))
% 0.21/0.51 (step t12 (cl (= tptp.a 0)) :rule resolution :premises (t3 t11 a0))
% 0.21/0.51 (step t13 (cl (= tptp.c tptp.c)) :rule refl)
% 0.21/0.51 (step t14 (cl (= tptp.b tptp.b)) :rule refl)
% 0.21/0.51 (step t15 (cl (= (* tptp.d tptp.a tptp.c tptp.b) (* tptp.d 0 tptp.c tptp.b))) :rule cong :premises (t2 t12 t13 t14))
% 0.21/0.51 (step t16 (cl (= 0 0)) :rule refl)
% 0.21/0.51 (step t17 (cl (= (= (* tptp.d tptp.a tptp.c tptp.b) 0) (= (* tptp.d 0 tptp.c tptp.b) 0))) :rule cong :premises (t15 t16))
% 0.21/0.51 (step t18 (cl (= (not (= (* tptp.d tptp.a tptp.c tptp.b) 0)) (not (= (* tptp.d 0 tptp.c tptp.b) 0)))) :rule cong :premises (t17))
% 0.21/0.51 (step t19 (cl (= (* tptp.d 0 tptp.c tptp.b) 0)) :rule all_simplify)
% 0.21/0.51 (step t20 (cl (= 0 0)) :rule refl)
% 0.21/0.51 (step t21 (cl (= (= (* tptp.d 0 tptp.c tptp.b) 0) (= 0 0))) :rule cong :premises (t19 t20))
% 0.21/0.51 (step t22 (cl (= (= 0 0) true)) :rule all_simplify)
% 0.21/0.51 (step t23 (cl (= (= (* tptp.d 0 tptp.c tptp.b) 0) true)) :rule trans :premises (t21 t22))
% 0.21/0.51 (step t24 (cl (= (not (= (* tptp.d 0 tptp.c tptp.b) 0)) (not true))) :rule cong :premises (t23))
% 0.21/0.51 (step t25 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.51 (step t26 (cl (= (not (= (* tptp.d 0 tptp.c tptp.b) 0)) false)) :rule trans :premises (t24 t25))
% 0.21/0.51 (step t27 (cl (= (not (= (* tptp.d tptp.a tptp.c tptp.b) 0)) false)) :rule trans :premises (t18 t26))
% 0.21/0.51 (step t28 (cl (not (= (not (= (* (* (* (* tptp.d tptp.c) tptp.a) tptp.b) 2) 0)) (not (= (* tptp.d tptp.a tptp.c tptp.b) 0)))) (not (not (= (* (* (* (* tptp.d tptp.c) tptp.a) tptp.b) 2) 0))) (not (= (* tptp.d tptp.a tptp.c tptp.b) 0))) :rule equiv_pos2)
% 0.21/0.51 (step t29 (cl (= (* tptp.d tptp.c) (* tptp.d tptp.c))) :rule all_simplify)
% 0.21/0.51 (step t30 (cl (= (* (* tptp.d tptp.c) tptp.a) (* (* tptp.d tptp.c) tptp.a))) :rule cong :premises (t29 t5))
% 0.21/0.51 (step t31 (cl (= (* (* tptp.d tptp.c) tptp.a) (* tptp.d tptp.a tptp.c))) :rule all_simplify)
% 0.21/0.51 (step t32 (cl (= (* (* tptp.d tptp.c) tptp.a) (* tptp.d tptp.a tptp.c))) :rule trans :premises (t30 t31))
% 0.21/0.51 (step t33 (cl (= tptp.b tptp.b)) :rule refl)
% 0.21/0.51 (step t34 (cl (= (* (* (* tptp.d tptp.c) tptp.a) tptp.b) (* (* tptp.d tptp.a tptp.c) tptp.b))) :rule cong :premises (t32 t33))
% 0.21/0.51 (step t35 (cl (= (* (* tptp.d tptp.a tptp.c) tptp.b) (* tptp.d tptp.a tptp.c tptp.b))) :rule all_simplify)
% 0.21/0.51 (step t36 (cl (= (* (* (* tptp.d tptp.c) tptp.a) tptp.b) (* tptp.d tptp.a tptp.c tptp.b))) :rule trans :premises (t34 t35))
% 0.21/0.51 (step t37 (cl (= 2 2)) :rule refl)
% 0.21/0.51 (step t38 (cl (= (* (* (* (* tptp.d tptp.c) tptp.a) tptp.b) 2) (* (* tptp.d tptp.a tptp.c tptp.b) 2))) :rule cong :premises (t36 t37))
% 0.21/0.51 (step t39 (cl (= (* (* tptp.d tptp.a tptp.c tptp.b) 2) (* 2 (* tptp.d tptp.a tptp.c tptp.b)))) :rule all_simplify)
% 0.21/0.51 (step t40 (cl (= (* (* (* (* tptp.d tptp.c) tptp.a) tptp.b) 2) (* 2 (* tptp.d tptp.a tptp.c tptp.b)))) :rule trans :premises (t38 t39))
% 0.21/0.51 (step t41 (cl (= (= (* (* (* (* tptp.d tptp.c) tptp.a) tptp.b) 2) 0) (= (* 2 (* tptp.d tptp.a tptp.c tptp.b)) 0))) :rule cong :premises (t40 t20))
% 0.21/0.51 (step t42 (cl (= (= (* 2 (* tptp.d tptp.a tptp.c tptp.b)) 0) (= (* tptp.d tptp.a tptp.c tptp.b) 0))) :rule all_simplify)
% 0.21/0.51 (step t43 (cl (= (= (* (* (* (* tptp.d tptp.c) tptp.a) tptp.b) 2) 0) (= (* tptp.d tptp.a tptp.c tptp.b) 0))) :rule trans :premises (t41 t42))
% 0.21/0.51 (step t44 (cl (= (not (= (* (* (* (* tptp.d tptp.c) tptp.a) tptp.b) 2) 0)) (not (= (* tptp.d tptp.a tptp.c tptp.b) 0)))) :rule cong :premises (t43))
% 0.21/0.51 (step t45 (cl (not (= (* tptp.d tptp.a tptp.c tptp.b) 0))) :rule resolution :premises (t28 t44 a1))
% 0.21/0.51 (step t46 (cl false) :rule resolution :premises (t1 t27 t45))
% 0.21/0.51 (step t47 (cl (not false)) :rule false)
% 0.21/0.51 (step t48 (cl) :rule resolution :premises (t46 t47))
% 0.21/0.51
% 0.21/0.51 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.XF3ziwiM8a/cvc5---1.0.5_5774.smt2
% 0.21/0.51 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------