TSTP Solution File: KLE052+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE052+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 : n003.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 17:28:59 EDT 2022
% Result : Theorem 1.93s 0.65s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 27 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 35 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f284,plain,
$false,
inference(trivial_inequality_removal,[],[f283]) ).
fof(f283,plain,
sK0 != sK0,
inference(backward_demodulation,[],[f52,f276]) ).
fof(f276,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(backward_demodulation,[],[f38,f275]) ).
fof(f275,plain,
! [X0,X1] : addition(X1,multiplication(domain(X0),X1)) = X1,
inference(forward_demodulation,[],[f269,f47]) ).
fof(f47,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f269,plain,
! [X0,X1] : multiplication(one,X1) = addition(multiplication(one,X1),multiplication(domain(X0),X1)),
inference(superposition,[],[f50,f196]) ).
fof(f196,plain,
! [X6] : one = addition(one,domain(X6)),
inference(superposition,[],[f41,f37]) ).
fof(f37,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f41,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f50,plain,
! [X2,X0,X1] : addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] : addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X2,X1,X0] : multiplication(addition(X2,X0),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X2,X0] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f38,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,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/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f52,plain,
multiplication(domain(sK0),sK0) != sK0,
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
multiplication(domain(sK0),sK0) != sK0,
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f29,f34]) ).
fof(f34,plain,
( ? [X0] : multiplication(domain(X0),X0) != X0
=> multiplication(domain(sK0),sK0) != sK0 ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0] : multiplication(domain(X0),X0) != X0,
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0] : multiplication(domain(X0),X0) = X0,
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3] : multiplication(domain(X3),X3) = X3,
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3] : multiplication(domain(X3),X3) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE052+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:24:52 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.55 % (17055)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)
% 0.20/0.55 % (17057)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56 % (17071)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)
% 0.20/0.56 % (17073)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56 % (17063)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)
% 0.20/0.56 % (17065)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 % (17057)Instruction limit reached!
% 0.20/0.56 % (17057)------------------------------
% 0.20/0.56 % (17057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (17057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (17057)Termination reason: Unknown
% 0.20/0.56 % (17057)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (17057)Memory used [KB]: 5373
% 0.20/0.56 % (17057)Time elapsed: 0.143 s
% 0.20/0.56 % (17057)Instructions burned: 2 (million)
% 0.20/0.56 % (17057)------------------------------
% 0.20/0.56 % (17057)------------------------------
% 0.20/0.56 TRYING [1]
% 0.20/0.57 TRYING [2]
% 0.20/0.57 TRYING [3]
% 1.71/0.60 % (17052)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)
% 1.71/0.60 TRYING [4]
% 1.71/0.60 % (17051)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)
% 1.93/0.61 % (17054)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)
% 1.93/0.62 % (17069)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.93/0.62 % (17067)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.93/0.62 % (17068)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.93/0.62 % (17078)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.93/0.62 % (17049)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.93/0.62 % (17077)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.93/0.62 % (17075)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)
% 1.93/0.62 % (17070)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.93/0.62 % (17066)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.93/0.62 TRYING [1]
% 1.93/0.62 TRYING [2]
% 1.93/0.63 % (17053)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.93/0.63 TRYING [3]
% 1.93/0.63 % (17076)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.93/0.63 % (17062)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.93/0.63 % (17059)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.93/0.63 % (17058)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.93/0.63 % (17061)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.93/0.64 % (17060)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)
% 1.93/0.64 % (17050)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.93/0.64 % (17055)Instruction limit reached!
% 1.93/0.64 % (17055)------------------------------
% 1.93/0.64 % (17055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.64 % (17055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.64 % (17055)Termination reason: Unknown
% 1.93/0.64 % (17055)Termination phase: Finite model building constraint generation
% 1.93/0.64
% 1.93/0.64 % (17055)Memory used [KB]: 8571
% 1.93/0.64 % (17055)Time elapsed: 0.199 s
% 1.93/0.64 % (17055)Instructions burned: 51 (million)
% 1.93/0.64 % (17055)------------------------------
% 1.93/0.64 % (17055)------------------------------
% 1.93/0.64 % (17056)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.93/0.64 % (17074)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.93/0.64 TRYING [1]
% 1.93/0.64 TRYING [2]
% 1.93/0.64 % (17078)First to succeed.
% 1.93/0.65 TRYING [3]
% 1.93/0.65 % (17078)Refutation found. Thanks to Tanya!
% 1.93/0.65 % SZS status Theorem for theBenchmark
% 1.93/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.93/0.65 % (17078)------------------------------
% 1.93/0.65 % (17078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.65 % (17078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.65 % (17078)Termination reason: Refutation
% 1.93/0.65
% 1.93/0.65 % (17078)Memory used [KB]: 5628
% 1.93/0.65 % (17078)Time elapsed: 0.226 s
% 1.93/0.65 % (17078)Instructions burned: 10 (million)
% 1.93/0.65 % (17078)------------------------------
% 1.93/0.65 % (17078)------------------------------
% 1.93/0.65 % (17048)Success in time 0.289 s
%------------------------------------------------------------------------------