TSTP Solution File: KLE066+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE066+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 : n016.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 17:29:01 EDT 2022
% Result : Theorem 1.59s 0.56s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 21 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f184,plain,
$false,
inference(subsumption_resolution,[],[f177,f52]) ).
fof(f52,plain,
zero != multiplication(sK1,sK0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( zero != multiplication(sK1,sK0)
& zero = multiplication(sK1,domain(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f31,f36]) ).
fof(f36,plain,
( ? [X0,X1] :
( zero != multiplication(X1,X0)
& zero = multiplication(X1,domain(X0)) )
=> ( zero != multiplication(sK1,sK0)
& zero = multiplication(sK1,domain(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1] :
( zero != multiplication(X1,X0)
& zero = multiplication(X1,domain(X0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0,X1] :
( zero = multiplication(X1,domain(X0))
=> zero = multiplication(X1,X0) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X4,X3] :
( zero = multiplication(X3,domain(X4))
=> zero = multiplication(X3,X4) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X4,X3] :
( zero = multiplication(X3,domain(X4))
=> zero = multiplication(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f177,plain,
zero = multiplication(sK1,sK0),
inference(superposition,[],[f106,f42]) ).
fof(f42,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f106,plain,
zero = addition(multiplication(sK1,sK0),zero),
inference(forward_demodulation,[],[f103,f49]) ).
fof(f49,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f103,plain,
addition(multiplication(sK1,sK0),multiplication(zero,multiplication(sK1,sK0))) = multiplication(zero,multiplication(sK1,sK0)),
inference(superposition,[],[f41,f92]) ).
fof(f92,plain,
zero = domain(multiplication(sK1,sK0)),
inference(forward_demodulation,[],[f84,f45]) ).
fof(f45,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
zero = domain(zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f84,plain,
domain(zero) = domain(multiplication(sK1,sK0)),
inference(superposition,[],[f57,f51]) ).
fof(f51,plain,
zero = multiplication(sK1,domain(sK0)),
inference(cnf_transformation,[],[f37]) ).
fof(f57,plain,
! [X0,X1] : domain(multiplication(X1,X0)) = domain(multiplication(X1,domain(X0))),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] : domain(multiplication(X1,X0)) = domain(multiplication(X1,domain(X0))),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X0] : 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(f41,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE066+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 00:47:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50 % (16296)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)
% 0.18/0.54 % (16319)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)
% 0.18/0.54 % (16298)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.54 % (16314)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.59/0.55 % (16295)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.59/0.55 % (16311)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.59/0.55 % (16295)First to succeed.
% 1.59/0.56 % (16305)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.59/0.56 % (16307)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)
% 1.59/0.56 % (16303)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.59/0.56 % (16315)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)
% 1.59/0.56 % (16296)Also succeeded, but the first one will report.
% 1.59/0.56 % (16295)Refutation found. Thanks to Tanya!
% 1.59/0.56 % SZS status Theorem for theBenchmark
% 1.59/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.56 % (16295)------------------------------
% 1.59/0.56 % (16295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 % (16295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (16295)Termination reason: Refutation
% 1.59/0.56
% 1.59/0.56 % (16295)Memory used [KB]: 1023
% 1.59/0.56 % (16295)Time elapsed: 0.136 s
% 1.59/0.56 % (16295)Instructions burned: 7 (million)
% 1.59/0.56 % (16295)------------------------------
% 1.59/0.56 % (16295)------------------------------
% 1.59/0.56 % (16292)Success in time 0.223 s
%------------------------------------------------------------------------------