TSTP Solution File: ARI710_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI710_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n028.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 0.37s 0.54s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : ARI710_1 : TPTP v8.2.0. Released v6.3.0.
% 0.04/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n028.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon May 27 05:32:09 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_ARI
% 0.37/0.54  --- Run --finite-model-find --decision=internal at 15...
% 0.37/0.54  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.1InWtEjtH7/cvc5---1.0.5_31117.smt2
% 0.37/0.54  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.1InWtEjtH7/cvc5---1.0.5_31117.smt2
% 0.37/0.54  (assume a0 (= (* tptp.b 1) (* (* tptp.a tptp.c) tptp.d)))
% 0.37/0.54  (assume a1 (not (= tptp.b (* (* tptp.d tptp.a) tptp.c))))
% 0.37/0.54  (assume a2 true)
% 0.37/0.54  (step t1 (cl (not (= (= (* tptp.b 1) (* (* tptp.a tptp.c) tptp.d)) (= tptp.b (* tptp.a tptp.c tptp.d)))) (not (= (* tptp.b 1) (* (* tptp.a tptp.c) tptp.d))) (= tptp.b (* tptp.a tptp.c tptp.d))) :rule equiv_pos2)
% 0.37/0.54  (step t2 (cl (= (* tptp.b 1) tptp.b)) :rule all_simplify)
% 0.37/0.54  (step t3 (cl (= (* tptp.a tptp.c) (* tptp.a tptp.c))) :rule all_simplify)
% 0.37/0.54  (step t4 (cl (= tptp.d tptp.d)) :rule refl)
% 0.37/0.54  (step t5 (cl (= (* (* tptp.a tptp.c) tptp.d) (* (* tptp.a tptp.c) tptp.d))) :rule cong :premises (t3 t4))
% 0.37/0.54  (step t6 (cl (= (* (* tptp.a tptp.c) tptp.d) (* tptp.a tptp.c tptp.d))) :rule all_simplify)
% 0.37/0.54  (step t7 (cl (= (* (* tptp.a tptp.c) tptp.d) (* tptp.a tptp.c tptp.d))) :rule trans :premises (t5 t6))
% 0.37/0.54  (step t8 (cl (= (= (* tptp.b 1) (* (* tptp.a tptp.c) tptp.d)) (= tptp.b (* tptp.a tptp.c tptp.d)))) :rule cong :premises (t2 t7))
% 0.37/0.54  (step t9 (cl (= tptp.b (* tptp.a tptp.c tptp.d))) :rule resolution :premises (t1 t8 a0))
% 0.37/0.54  (step t10 (cl (not (= (not (= tptp.b (* (* tptp.d tptp.a) tptp.c))) (not (= tptp.b (* tptp.a tptp.c tptp.d))))) (not (not (= tptp.b (* (* tptp.d tptp.a) tptp.c)))) (not (= tptp.b (* tptp.a tptp.c tptp.d)))) :rule equiv_pos2)
% 0.37/0.54  (step t11 (cl (= tptp.b tptp.b)) :rule refl)
% 0.37/0.54  (step t12 (cl (= (* tptp.d tptp.a) (* tptp.a tptp.d))) :rule all_simplify)
% 0.37/0.54  (step t13 (cl (= tptp.c tptp.c)) :rule refl)
% 0.37/0.54  (step t14 (cl (= (* (* tptp.d tptp.a) tptp.c) (* (* tptp.a tptp.d) tptp.c))) :rule cong :premises (t12 t13))
% 0.37/0.54  (step t15 (cl (= (* (* tptp.a tptp.d) tptp.c) (* tptp.a tptp.c tptp.d))) :rule all_simplify)
% 0.37/0.54  (step t16 (cl (= (* (* tptp.d tptp.a) tptp.c) (* tptp.a tptp.c tptp.d))) :rule trans :premises (t14 t15))
% 0.37/0.54  (step t17 (cl (= (= tptp.b (* (* tptp.d tptp.a) tptp.c)) (= tptp.b (* tptp.a tptp.c tptp.d)))) :rule cong :premises (t11 t16))
% 0.37/0.54  (step t18 (cl (= (not (= tptp.b (* (* tptp.d tptp.a) tptp.c))) (not (= tptp.b (* tptp.a tptp.c tptp.d))))) :rule cong :premises (t17))
% 0.37/0.54  (step t19 (cl (not (= tptp.b (* tptp.a tptp.c tptp.d)))) :rule resolution :premises (t10 t18 a1))
% 0.37/0.54  (step t20 (cl) :rule resolution :premises (t9 t19))
% 0.37/0.54  
% 0.37/0.54  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.1InWtEjtH7/cvc5---1.0.5_31117.smt2
% 0.37/0.54  % cvc5---1.0.5 exiting
% 0.37/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------