TSTP Solution File: KLE075+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE075+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 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 Aug 31 17:29:03 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 13 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f392,plain,
$false,
inference(trivial_inequality_removal,[],[f383]) ).
fof(f383,plain,
sF1 != sF1,
inference(superposition,[],[f51,f356]) ).
fof(f356,plain,
sF3 = sF1,
inference(superposition,[],[f54,f329]) ).
fof(f329,plain,
domain(sF1) = sF1,
inference(superposition,[],[f318,f48]) ).
fof(f48,plain,
domain(sK0) = sF1,
introduced(function_definition,[]) ).
fof(f318,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f297,f44]) ).
fof(f44,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f297,plain,
! [X0] : domain(domain(X0)) = domain(multiplication(one,X0)),
inference(superposition,[],[f41,f44]) ).
fof(f41,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f54,plain,
domain(sF1) = sF3,
inference(superposition,[],[f50,f53]) ).
fof(f53,plain,
sF2 = sF1,
inference(superposition,[],[f44,f49]) ).
fof(f49,plain,
sF2 = multiplication(one,sF1),
introduced(function_definition,[]) ).
fof(f50,plain,
sF3 = domain(sF2),
introduced(function_definition,[]) ).
fof(f51,plain,
sF3 != sF1,
inference(definition_folding,[],[f34,f48,f50,f49,f48]) ).
fof(f34,plain,
domain(multiplication(one,domain(sK0))) != domain(sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
? [X0] : domain(multiplication(one,domain(X0))) != domain(X0),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0] : domain(multiplication(one,domain(X0))) = domain(X0),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3] : domain(X3) = domain(multiplication(one,domain(X3))),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3] : domain(X3) = domain(multiplication(one,domain(X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE075+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.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 : Tue Aug 30 00:34:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (30293)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (30285)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (30293)First to succeed.
% 0.21/0.54 % (30293)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (30293)------------------------------
% 0.21/0.54 % (30293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (30293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (30293)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (30293)Memory used [KB]: 5628
% 0.21/0.54 % (30293)Time elapsed: 0.097 s
% 0.21/0.54 % (30293)Instructions burned: 14 (million)
% 0.21/0.54 % (30293)------------------------------
% 0.21/0.54 % (30293)------------------------------
% 0.21/0.54 % (30281)Success in time 0.187 s
%------------------------------------------------------------------------------