TSTP Solution File: KLE114+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE114+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 : Mon May 20 23:15:33 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 52 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 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 : 42 ( 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f325,plain,
$false,
inference(trivial_inequality_removal,[],[f324]) ).
fof(f324,plain,
one != one,
inference(superposition,[],[f48,f308]) ).
fof(f308,plain,
! [X0] : one = forward_box(X0,one),
inference(forward_demodulation,[],[f307,f156]) ).
fof(f156,plain,
one = c(zero),
inference(forward_demodulation,[],[f154,f136]) ).
fof(f136,plain,
one = antidomain(zero),
inference(superposition,[],[f112,f51]) ).
fof(f51,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(f112,plain,
one = addition(antidomain(zero),zero),
inference(forward_demodulation,[],[f103,f79]) ).
fof(f79,plain,
zero = antidomain(one),
inference(superposition,[],[f56,f52]) ).
fof(f52,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(f56,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f31]) ).
fof(f31,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(f103,plain,
one = addition(antidomain(zero),antidomain(one)),
inference(superposition,[],[f74,f84]) ).
fof(f84,plain,
antidomain(zero) = domain(one),
inference(superposition,[],[f59,f79]) ).
fof(f59,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] : domain(X0) = antidomain(antidomain(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] : one = addition(domain(X0),antidomain(X0)),
inference(forward_demodulation,[],[f61,f59]) ).
fof(f61,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,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(f154,plain,
antidomain(zero) = c(zero),
inference(superposition,[],[f57,f152]) ).
fof(f152,plain,
zero = domain(zero),
inference(backward_demodulation,[],[f89,f151]) ).
fof(f151,plain,
zero = c(one),
inference(forward_demodulation,[],[f149,f79]) ).
fof(f149,plain,
antidomain(one) = c(one),
inference(superposition,[],[f57,f143]) ).
fof(f143,plain,
one = domain(one),
inference(backward_demodulation,[],[f84,f136]) ).
fof(f89,plain,
c(one) = domain(zero),
inference(forward_demodulation,[],[f88,f59]) ).
fof(f88,plain,
c(one) = antidomain(antidomain(zero)),
inference(superposition,[],[f57,f84]) ).
fof(f57,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] : c(X3) = antidomain(domain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).
fof(f307,plain,
! [X0] : forward_box(X0,one) = c(zero),
inference(backward_demodulation,[],[f164,f306]) ).
fof(f306,plain,
! [X0] : zero = forward_diamond(X0,zero),
inference(forward_demodulation,[],[f305,f152]) ).
fof(f305,plain,
! [X0] : domain(zero) = forward_diamond(X0,zero),
inference(forward_demodulation,[],[f287,f49]) ).
fof(f49,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(f287,plain,
! [X0] : forward_diamond(X0,zero) = domain(multiplication(X0,zero)),
inference(superposition,[],[f67,f152]) ).
fof(f67,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).
fof(f164,plain,
! [X0] : forward_box(X0,one) = c(forward_diamond(X0,zero)),
inference(superposition,[],[f66,f151]) ).
fof(f66,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3,X4] : forward_box(X3,X4) = c(forward_diamond(X3,c(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_box) ).
fof(f48,plain,
one != forward_box(sK0,one),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
one != forward_box(sK0,one),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f45,f46]) ).
fof(f46,plain,
( ? [X0] : one != forward_box(X0,one)
=> one != forward_box(sK0,one) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0] : one != forward_box(X0,one),
inference(ennf_transformation,[],[f29]) ).
fof(f29,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
% 0.04/0.09 % Problem : KLE114+1 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun May 19 09:51:08 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.32 % (28210)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (28213)WARNING: value z3 for option sas not known
% 0.11/0.33 % (28214)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.33 % (28211)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.33 % (28212)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.33 % (28215)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.33 % (28216)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.33 % (28213)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.33 % (28217)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.33 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 % (28216)First to succeed.
% 0.11/0.34 % (28217)Also succeeded, but the first one will report.
% 0.11/0.34 TRYING [1]
% 0.11/0.34 % (28216)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28210"
% 0.11/0.34 % (28216)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (28216)------------------------------
% 0.11/0.34 % (28216)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (28216)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (28216)Memory used [KB]: 954
% 0.11/0.34 % (28216)Time elapsed: 0.009 s
% 0.11/0.34 % (28216)Instructions burned: 15 (million)
% 0.11/0.34 % (28210)Success in time 0.025 s
%------------------------------------------------------------------------------