TSTP Solution File: ARI707_1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI707_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n006.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 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ARI707_1 : TPTP v8.2.0. Released v6.3.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n006.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 05:33:39 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_ARI
% 0.20/0.51 --- Run --finite-model-find --decision=internal at 15...
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.X5h5GNgwWJ/cvc5---1.0.5_11948.smt2
% 0.20/0.51 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.X5h5GNgwWJ/cvc5---1.0.5_11948.smt2
% 0.20/0.51 (assume a0 (= (+ (* tptp.d tptp.d) tptp.c) (* (* 2 tptp.d) tptp.d)))
% 0.20/0.51 (assume a1 (not (= (* (* tptp.c tptp.d) tptp.d) (* tptp.c tptp.c))))
% 0.20/0.51 (assume a2 true)
% 0.20/0.51 (step t1 (cl (not (= (not (= (* tptp.c tptp.c) (* tptp.d tptp.d tptp.c))) false)) (not (not (= (* tptp.c tptp.c) (* tptp.d tptp.d tptp.c)))) false) :rule equiv_pos2)
% 0.20/0.51 (step t2 (cl (not (= (= (+ (* tptp.d tptp.d) tptp.c) (* (* 2 tptp.d) tptp.d)) (= tptp.c (* tptp.d tptp.d)))) (not (= (+ (* tptp.d tptp.d) tptp.c) (* (* 2 tptp.d) tptp.d))) (= tptp.c (* tptp.d tptp.d))) :rule equiv_pos2)
% 0.20/0.51 (step t3 (cl (= (* tptp.d tptp.d) (* tptp.d tptp.d))) :rule all_simplify)
% 0.20/0.51 (step t4 (cl (= tptp.c tptp.c)) :rule refl)
% 0.20/0.51 (step t5 (cl (= (+ (* tptp.d tptp.d) tptp.c) (+ (* tptp.d tptp.d) tptp.c))) :rule cong :premises (t3 t4))
% 0.20/0.51 (step t6 (cl (= (+ (* tptp.d tptp.d) tptp.c) (+ tptp.c (* tptp.d tptp.d)))) :rule all_simplify)
% 0.20/0.51 (step t7 (cl (= (+ (* tptp.d tptp.d) tptp.c) (+ tptp.c (* tptp.d tptp.d)))) :rule trans :premises (t5 t6))
% 0.20/0.51 (step t8 (cl (= (* (* 2 tptp.d) tptp.d) (* 2 (* tptp.d tptp.d)))) :rule all_simplify)
% 0.20/0.51 (step t9 (cl (= (= (+ (* tptp.d tptp.d) tptp.c) (* (* 2 tptp.d) tptp.d)) (= (+ tptp.c (* tptp.d tptp.d)) (* 2 (* tptp.d tptp.d))))) :rule cong :premises (t7 t8))
% 0.20/0.51 (step t10 (cl (= (= (+ tptp.c (* tptp.d tptp.d)) (* 2 (* tptp.d tptp.d))) (= tptp.c (* tptp.d tptp.d)))) :rule all_simplify)
% 0.20/0.51 (step t11 (cl (= (= (+ (* tptp.d tptp.d) tptp.c) (* (* 2 tptp.d) tptp.d)) (= tptp.c (* tptp.d tptp.d)))) :rule trans :premises (t9 t10))
% 0.20/0.51 (step t12 (cl (= tptp.c (* tptp.d tptp.d))) :rule resolution :premises (t2 t11 a0))
% 0.20/0.51 (step t13 (cl (= (* tptp.c tptp.c) (* (* tptp.d tptp.d) (* tptp.d tptp.d)))) :rule cong :premises (t12 t12))
% 0.20/0.51 (step t14 (cl (= tptp.d tptp.d)) :rule refl)
% 0.20/0.51 (step t15 (cl (= (* tptp.d tptp.d tptp.c) (* tptp.d tptp.d (* tptp.d tptp.d)))) :rule cong :premises (t14 t14 t12))
% 0.20/0.51 (step t16 (cl (= (= (* tptp.c tptp.c) (* tptp.d tptp.d tptp.c)) (= (* (* tptp.d tptp.d) (* tptp.d tptp.d)) (* tptp.d tptp.d (* tptp.d tptp.d))))) :rule cong :premises (t13 t15))
% 0.20/0.51 (step t17 (cl (= (not (= (* tptp.c tptp.c) (* tptp.d tptp.d tptp.c))) (not (= (* (* tptp.d tptp.d) (* tptp.d tptp.d)) (* tptp.d tptp.d (* tptp.d tptp.d)))))) :rule cong :premises (t16))
% 0.20/0.51 (step t18 (cl (= (* (* tptp.d tptp.d) (* tptp.d tptp.d)) (* tptp.d tptp.d tptp.d tptp.d))) :rule all_simplify)
% 0.20/0.51 (step t19 (cl (= (* tptp.d tptp.d (* tptp.d tptp.d)) (* tptp.d tptp.d tptp.d tptp.d))) :rule all_simplify)
% 0.20/0.51 (step t20 (cl (= (= (* (* tptp.d tptp.d) (* tptp.d tptp.d)) (* tptp.d tptp.d (* tptp.d tptp.d))) (= (* tptp.d tptp.d tptp.d tptp.d) (* tptp.d tptp.d tptp.d tptp.d)))) :rule cong :premises (t18 t19))
% 0.20/0.51 (step t21 (cl (= (= (* tptp.d tptp.d tptp.d tptp.d) (* tptp.d tptp.d tptp.d tptp.d)) true)) :rule all_simplify)
% 0.20/0.51 (step t22 (cl (= (= (* (* tptp.d tptp.d) (* tptp.d tptp.d)) (* tptp.d tptp.d (* tptp.d tptp.d))) true)) :rule trans :premises (t20 t21))
% 0.20/0.51 (step t23 (cl (= (not (= (* (* tptp.d tptp.d) (* tptp.d tptp.d)) (* tptp.d tptp.d (* tptp.d tptp.d)))) (not true))) :rule cong :premises (t22))
% 0.20/0.51 (step t24 (cl (= (not true) false)) :rule all_simplify)
% 0.20/0.51 (step t25 (cl (= (not (= (* (* tptp.d tptp.d) (* tptp.d tptp.d)) (* tptp.d tptp.d (* tptp.d tptp.d)))) false)) :rule trans :premises (t23 t24))
% 0.20/0.51 (step t26 (cl (= (not (= (* tptp.c tptp.c) (* tptp.d tptp.d tptp.c))) false)) :rule trans :premises (t17 t25))
% 0.20/0.51 (step t27 (cl (not (= (not (= (* (* tptp.c tptp.d) tptp.d) (* tptp.c tptp.c))) (not (= (* tptp.c tptp.c) (* tptp.d tptp.d tptp.c))))) (not (not (= (* (* tptp.c tptp.d) tptp.d) (* tptp.c tptp.c)))) (not (= (* tptp.c tptp.c) (* tptp.d tptp.d tptp.c)))) :rule equiv_pos2)
% 0.20/0.51 (step t28 (cl (= (* tptp.c tptp.d) (* tptp.d tptp.c))) :rule all_simplify)
% 0.20/0.51 (step t29 (cl (= tptp.d tptp.d)) :rule refl)
% 0.20/0.51 (step t30 (cl (= (* (* tptp.c tptp.d) tptp.d) (* (* tptp.d tptp.c) tptp.d))) :rule cong :premises (t28 t29))
% 0.20/0.51 (step t31 (cl (= (* (* tptp.d tptp.c) tptp.d) (* tptp.d tptp.d tptp.c))) :rule all_simplify)
% 0.20/0.51 (step t32 (cl (= (* (* tptp.c tptp.d) tptp.d) (* tptp.d tptp.d tptp.c))) :rule trans :premises (t30 t31))
% 0.20/0.51 (step t33 (cl (= (* tptp.c tptp.c) (* tptp.c tptp.c))) :rule all_simplify)
% 0.20/0.51 (step t34 (cl (= (= (* (* tptp.c tptp.d) tptp.d) (* tptp.c tptp.c)) (= (* tptp.d tptp.d tptp.c) (* tptp.c tptp.c)))) :rule cong :premises (t32 t33))
% 0.20/0.51 (step t35 (cl (= (= (* tptp.d tptp.d tptp.c) (* tptp.c tptp.c)) (= (* tptp.c tptp.c) (* tptp.d tptp.d tptp.c)))) :rule all_simplify)
% 0.20/0.51 (step t36 (cl (= (= (* (* tptp.c tptp.d) tptp.d) (* tptp.c tptp.c)) (= (* tptp.c tptp.c) (* tptp.d tptp.d tptp.c)))) :rule trans :premises (t34 t35))
% 0.20/0.51 (step t37 (cl (= (not (= (* (* tptp.c tptp.d) tptp.d) (* tptp.c tptp.c))) (not (= (* tptp.c tptp.c) (* tptp.d tptp.d tptp.c))))) :rule cong :premises (t36))
% 0.20/0.51 (step t38 (cl (not (= (* tptp.c tptp.c) (* tptp.d tptp.d tptp.c)))) :rule resolution :premises (t27 t37 a1))
% 0.20/0.51 (step t39 (cl false) :rule resolution :premises (t1 t26 t38))
% 0.20/0.51 (step t40 (cl (not false)) :rule false)
% 0.20/0.51 (step t41 (cl) :rule resolution :premises (t39 t40))
% 0.20/0.51
% 0.20/0.51 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.X5h5GNgwWJ/cvc5---1.0.5_11948.smt2
% 0.20/0.51 % cvc5---1.0.5 exiting
% 0.20/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------