TSTP Solution File: KLE119+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE119+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 : Tue Apr 30 13:11:57 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 40 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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; 4 con; 0-2 aty)
% Number of variables : 39 ( 35 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f177,plain,
$false,
inference(trivial_inequality_removal,[],[f176]) ).
fof(f176,plain,
domain(sK1) != domain(sK1),
inference(superposition,[],[f174,f90]) ).
fof(f90,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f62,f51]) ).
fof(f51,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(f62,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f174,plain,
domain(sK1) != addition(zero,domain(sK1)),
inference(backward_demodulation,[],[f48,f172]) ).
fof(f172,plain,
! [X0] : zero = backward_diamond(zero,X0),
inference(forward_demodulation,[],[f165,f137]) ).
fof(f137,plain,
zero = codomain(zero),
inference(forward_demodulation,[],[f135,f78]) ).
fof(f78,plain,
zero = coantidomain(one),
inference(superposition,[],[f55,f53]) ).
fof(f53,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f55,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] : zero = multiplication(X3,coantidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain1) ).
fof(f135,plain,
coantidomain(one) = codomain(zero),
inference(superposition,[],[f58,f120]) ).
fof(f120,plain,
one = coantidomain(zero),
inference(superposition,[],[f107,f51]) ).
fof(f107,plain,
one = addition(coantidomain(zero),zero),
inference(forward_demodulation,[],[f100,f78]) ).
fof(f100,plain,
one = addition(coantidomain(zero),coantidomain(one)),
inference(superposition,[],[f74,f83]) ).
fof(f83,plain,
coantidomain(zero) = codomain(one),
inference(superposition,[],[f58,f78]) ).
fof(f74,plain,
! [X0] : one = addition(codomain(X0),coantidomain(X0)),
inference(forward_demodulation,[],[f60,f58]) ).
fof(f60,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain3) ).
fof(f58,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3] : coantidomain(coantidomain(X3)) = codomain(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain4) ).
fof(f165,plain,
! [X0] : codomain(zero) = backward_diamond(zero,X0),
inference(superposition,[],[f67,f49]) ).
fof(f49,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f67,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3,X4] : backward_diamond(X3,X4) = codomain(multiplication(codomain(X4),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',backward_diamond) ).
fof(f48,plain,
domain(sK1) != addition(backward_diamond(zero,domain(sK0)),domain(sK1)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
domain(sK1) != addition(backward_diamond(zero,domain(sK0)),domain(sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f45,f46]) ).
fof(f46,plain,
( ? [X0,X1] : domain(X1) != addition(backward_diamond(zero,domain(X0)),domain(X1))
=> domain(sK1) != addition(backward_diamond(zero,domain(sK0)),domain(sK1)) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1] : domain(X1) != addition(backward_diamond(zero,domain(X0)),domain(X1)),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X0,X1] : domain(X1) = addition(backward_diamond(zero,domain(X0)),domain(X1)),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X3,X4] : domain(X4) = addition(backward_diamond(zero,domain(X3)),domain(X4)),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X3,X4] : domain(X4) = addition(backward_diamond(zero,domain(X3)),domain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE119+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n005.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Apr 30 05:00:26 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % (21307)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (21310)WARNING: value z3 for option sas not known
% 0.13/0.38 % (21312)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)
% 0.13/0.38 % (21313)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)
% 0.13/0.38 % (21311)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (21314)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)
% 0.13/0.38 % (21310)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)
% 0.13/0.38 % (21309)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (21308)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [2]
% 0.13/0.39 % (21313)First to succeed.
% 0.13/0.39 % (21313)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (21313)------------------------------
% 0.13/0.39 % (21313)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.39 % (21313)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (21313)Memory used [KB]: 891
% 0.13/0.39 % (21313)Time elapsed: 0.007 s
% 0.13/0.39 % (21313)Instructions burned: 10 (million)
% 0.13/0.39 % (21313)------------------------------
% 0.13/0.39 % (21313)------------------------------
% 0.13/0.39 % (21307)Success in time 0.021 s
%------------------------------------------------------------------------------