TSTP Solution File: KLE074+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE074+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 : 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 Aug 31 17:29:02 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 18 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 24 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115,plain,
$false,
inference(trivial_inequality_removal,[],[f104]) ).
fof(f104,plain,
domain(multiplication(sK0,multiplication(sK1,sK2))) != domain(multiplication(sK0,multiplication(sK1,sK2))),
inference(backward_demodulation,[],[f77,f44]) ).
fof(f44,plain,
! [X2,X0,X1] : multiplication(multiplication(X2,X0),X1) = multiplication(X2,multiplication(X0,X1)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] : multiplication(multiplication(X2,X0),X1) = multiplication(X2,multiplication(X0,X1)),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f77,plain,
domain(multiplication(sK0,multiplication(sK1,sK2))) != domain(multiplication(multiplication(sK0,sK1),sK2)),
inference(forward_demodulation,[],[f76,f48]) ).
fof(f48,plain,
! [X0,X1] : domain(multiplication(X1,domain(X0))) = domain(multiplication(X1,X0)),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] : domain(multiplication(X1,domain(X0))) = domain(multiplication(X1,X0)),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f76,plain,
domain(multiplication(sK0,domain(multiplication(sK1,sK2)))) != domain(multiplication(multiplication(sK0,sK1),sK2)),
inference(forward_demodulation,[],[f69,f48]) ).
fof(f69,plain,
domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2))))) != domain(multiplication(multiplication(sK0,sK1),sK2)),
inference(backward_demodulation,[],[f53,f48]) ).
fof(f53,plain,
domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2))))) != domain(multiplication(multiplication(sK0,sK1),domain(sK2))),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2))))) != domain(multiplication(multiplication(sK0,sK1),domain(sK2))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f35,f36]) ).
fof(f36,plain,
( ? [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) != domain(multiplication(X0,domain(multiplication(X1,domain(X2)))))
=> domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2))))) != domain(multiplication(multiplication(sK0,sK1),domain(sK2))) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) != domain(multiplication(X0,domain(multiplication(X1,domain(X2))))),
inference(rectify,[],[f30]) ).
fof(f30,plain,
? [X2,X1,X0] : domain(multiplication(X2,domain(multiplication(X1,domain(X0))))) != domain(multiplication(multiplication(X2,X1),domain(X0))),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
~ ! [X1,X2,X0] : domain(multiplication(X2,domain(multiplication(X1,domain(X0))))) = domain(multiplication(multiplication(X2,X1),domain(X0))),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X5,X4,X3] : domain(multiplication(multiplication(X3,X4),domain(X5))) = domain(multiplication(X3,domain(multiplication(X4,domain(X5))))),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X5,X4,X3] : domain(multiplication(multiplication(X3,X4),domain(X5))) = domain(multiplication(X3,domain(multiplication(X4,domain(X5))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE074+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
% 0.12/0.34 % Computer : n006.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 Aug 30 00:23:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (21117)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.49 % (21109)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50 % (21101)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (21117)First to succeed.
% 0.20/0.50 % (21109)Also succeeded, but the first one will report.
% 0.20/0.50 % (21117)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (21117)------------------------------
% 0.20/0.50 % (21117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (21117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (21117)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (21117)Memory used [KB]: 1023
% 0.20/0.50 % (21117)Time elapsed: 0.060 s
% 0.20/0.50 % (21117)Instructions burned: 5 (million)
% 0.20/0.50 % (21117)------------------------------
% 0.20/0.50 % (21117)------------------------------
% 0.20/0.50 % (21094)Success in time 0.156 s
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