TSTP Solution File: KLE114+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE114+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 : n011.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 17:29:10 EDT 2022
% Result : Theorem 0.21s 0.58s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 53 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 18 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 46 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f186,plain,
$false,
inference(trivial_inequality_removal,[],[f185]) ).
fof(f185,plain,
antidomain(zero) != antidomain(zero),
inference(forward_demodulation,[],[f184,f153]) ).
fof(f153,plain,
zero = antidomain(antidomain(zero)),
inference(backward_demodulation,[],[f102,f148]) ).
fof(f148,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f136,f79]) ).
fof(f79,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f136,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f62,f102]) ).
fof(f62,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f102,plain,
zero = antidomain(one),
inference(superposition,[],[f71,f67]) ).
fof(f67,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f71,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f184,plain,
antidomain(zero) != antidomain(antidomain(antidomain(zero))),
inference(forward_demodulation,[],[f183,f153]) ).
fof(f183,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(zero))))) != antidomain(zero),
inference(forward_demodulation,[],[f182,f65]) ).
fof(f65,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f182,plain,
antidomain(zero) != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,zero)))))),
inference(forward_demodulation,[],[f181,f153]) ).
fof(f181,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(zero)))))))) != antidomain(zero),
inference(forward_demodulation,[],[f180,f153]) ).
fof(f180,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(zero)))))))))) != antidomain(zero),
inference(forward_demodulation,[],[f178,f85]) ).
fof(f85,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f178,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(multiplication(zero,antidomain(zero)))))))))))) != antidomain(zero),
inference(superposition,[],[f155,f153]) ).
fof(f155,plain,
! [X0] : antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(X0),X0))))))))))) != antidomain(zero),
inference(backward_demodulation,[],[f115,f148]) ).
fof(f115,plain,
! [X0] : one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(X0),X0))))))))))),
inference(superposition,[],[f113,f71]) ).
fof(f113,plain,
one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(zero)))))))))),
inference(backward_demodulation,[],[f93,f102]) ).
fof(f93,plain,
one != antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(one))))))))))),
inference(definition_unfolding,[],[f69,f92]) ).
fof(f92,plain,
! [X0,X1] : forward_box(X0,X1) = antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(antidomain(X1))))))))))),
inference(definition_unfolding,[],[f70,f87,f91,f87]) ).
fof(f91,plain,
! [X0,X1] : antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))) = forward_diamond(X0,X1),
inference(definition_unfolding,[],[f74,f72,f72]) ).
fof(f72,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f74,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X0] : forward_diamond(X1,X0) = domain(multiplication(X1,domain(X0))),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X3] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).
fof(f87,plain,
! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
inference(definition_unfolding,[],[f86,f72]) ).
fof(f86,plain,
! [X0] : antidomain(domain(X0)) = c(X0),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] : antidomain(domain(X0)) = c(X0),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] : c(X3) = antidomain(domain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).
fof(f70,plain,
! [X0,X1] : c(forward_diamond(X0,c(X1))) = forward_box(X0,X1),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] : c(forward_diamond(X0,c(X1))) = forward_box(X0,X1),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0] : forward_box(X1,X0) = c(forward_diamond(X1,c(X0))),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X3] : forward_box(X3,X4) = c(forward_diamond(X3,c(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_box) ).
fof(f69,plain,
one != forward_box(sK0,one),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
one != forward_box(sK0,one),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f48,f53]) ).
fof(f53,plain,
( ? [X0] : one != forward_box(X0,one)
=> one != forward_box(sK0,one) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0] : one != forward_box(X0,one),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
~ ! [X0] : one = forward_box(X0,one),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X3] : one = forward_box(X3,one),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X3] : one = forward_box(X3,one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : KLE114+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % 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 : n011.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 00:26:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.54 % (24737)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.54 % (24744)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)
% 0.21/0.54 % (24746)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54 % (24729)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (24730)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (24728)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)
% 0.21/0.55 % (24730)Instruction limit reached!
% 0.21/0.55 % (24730)------------------------------
% 0.21/0.55 % (24730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (24730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (24730)Termination reason: Unknown
% 0.21/0.55 % (24730)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (24730)Memory used [KB]: 5373
% 0.21/0.55 % (24730)Time elapsed: 0.003 s
% 0.21/0.55 % (24730)Instructions burned: 2 (million)
% 0.21/0.55 % (24730)------------------------------
% 0.21/0.55 % (24730)------------------------------
% 0.21/0.55 % (24745)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 % (24738)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)
% 0.21/0.55 % (24729)Instruction limit reached!
% 0.21/0.55 % (24729)------------------------------
% 0.21/0.55 % (24729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (24744)First to succeed.
% 0.21/0.55 TRYING [2]
% 0.21/0.56 % (24736)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)
% 0.21/0.56 % (24729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (24729)Termination reason: Unknown
% 0.21/0.56 % (24729)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (24729)Memory used [KB]: 5500
% 0.21/0.56 % (24729)Time elapsed: 0.131 s
% 0.21/0.56 % (24729)Instructions burned: 7 (million)
% 0.21/0.56 % (24729)------------------------------
% 0.21/0.56 % (24729)------------------------------
% 0.21/0.57 TRYING [3]
% 0.21/0.57 % (24737)Also succeeded, but the first one will report.
% 0.21/0.58 % (24745)Also succeeded, but the first one will report.
% 0.21/0.58 % (24744)Refutation found. Thanks to Tanya!
% 0.21/0.58 % SZS status Theorem for theBenchmark
% 0.21/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58 % (24744)------------------------------
% 0.21/0.58 % (24744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (24744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (24744)Termination reason: Refutation
% 0.21/0.58
% 0.21/0.58 % (24744)Memory used [KB]: 1023
% 0.21/0.58 % (24744)Time elapsed: 0.138 s
% 0.21/0.58 % (24744)Instructions burned: 7 (million)
% 0.21/0.58 % (24744)------------------------------
% 0.21/0.58 % (24744)------------------------------
% 0.21/0.58 % (24721)Success in time 0.216 s
%------------------------------------------------------------------------------