TSTP Solution File: LCL156-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL156-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Sun May 5 07:44:13 EDT 2024
% Result : Unsatisfiable 0.13s 0.32s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f959,plain,
$false,
inference(trivial_inequality_removal,[],[f953]) ).
fof(f953,plain,
x != x,
inference(superposition,[],[f25,f922]) ).
fof(f922,plain,
! [X0] : and(truth,X0) = X0,
inference(backward_demodulation,[],[f350,f919]) ).
fof(f919,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[],[f918,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f918,plain,
! [X0] : implies(truth,X0) = not(not(X0)),
inference(forward_demodulation,[],[f917,f405]) ).
fof(f405,plain,
! [X0] : truth = or(X0,not(X0)),
inference(backward_demodulation,[],[f125,f397]) ).
fof(f397,plain,
! [X0] : truth = implies(implies(falsehood,X0),truth),
inference(backward_demodulation,[],[f118,f349]) ).
fof(f349,plain,
! [X0] : truth = implies(X0,X0),
inference(backward_demodulation,[],[f82,f347]) ).
fof(f347,plain,
! [X0] : or(falsehood,X0) = X0,
inference(forward_demodulation,[],[f337,f1]) ).
fof(f337,plain,
! [X0] : implies(truth,X0) = or(falsehood,X0),
inference(superposition,[],[f5,f312]) ).
fof(f312,plain,
truth = not(falsehood),
inference(superposition,[],[f302,f1]) ).
fof(f302,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f82,f268]) ).
fof(f268,plain,
truth = or(falsehood,not(falsehood)),
inference(superposition,[],[f125,f84]) ).
fof(f84,plain,
truth = implies(implies(falsehood,falsehood),truth),
inference(superposition,[],[f80,f30]) ).
fof(f30,plain,
! [X0] : or(truth,X0) = implies(falsehood,X0),
inference(superposition,[],[f5,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_definition) ).
fof(f80,plain,
! [X0] : truth = implies(or(X0,falsehood),X0),
inference(forward_demodulation,[],[f69,f1]) ).
fof(f69,plain,
! [X0] : truth = implies(or(X0,falsehood),implies(truth,X0)),
inference(superposition,[],[f20,f16]) ).
fof(f20,plain,
! [X0,X1] : truth = implies(or(X0,not(X1)),implies(X1,X0)),
inference(forward_demodulation,[],[f4,f5]) ).
fof(f4,axiom,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f5,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_definition) ).
fof(f82,plain,
! [X0] : truth = implies(or(falsehood,X0),X0),
inference(superposition,[],[f80,f7]) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_commutativity) ).
fof(f118,plain,
! [X0] : implies(not(X0),not(X0)) = implies(implies(falsehood,X0),truth),
inference(forward_demodulation,[],[f103,f31]) ).
fof(f31,plain,
! [X0] : implies(falsehood,X0) = or(X0,truth),
inference(superposition,[],[f30,f7]) ).
fof(f103,plain,
! [X0] : implies(not(X0),not(X0)) = implies(or(X0,truth),truth),
inference(superposition,[],[f86,f5]) ).
fof(f86,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f125,plain,
! [X0] : or(X0,not(X0)) = implies(implies(falsehood,X0),truth),
inference(forward_demodulation,[],[f124,f31]) ).
fof(f124,plain,
! [X0] : implies(or(X0,truth),truth) = or(X0,not(X0)),
inference(forward_demodulation,[],[f109,f5]) ).
fof(f109,plain,
! [X0] : implies(implies(not(X0),truth),truth) = or(X0,not(X0)),
inference(superposition,[],[f86,f5]) ).
fof(f917,plain,
! [X0] : not(not(X0)) = implies(or(X0,not(X0)),X0),
inference(forward_demodulation,[],[f916,f7]) ).
fof(f916,plain,
! [X0] : not(not(X0)) = implies(or(not(X0),X0),X0),
inference(forward_demodulation,[],[f915,f5]) ).
fof(f915,plain,
! [X0] : not(not(X0)) = implies(implies(not(not(X0)),X0),X0),
inference(forward_demodulation,[],[f897,f1]) ).
fof(f897,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(superposition,[],[f3,f793]) ).
fof(f793,plain,
! [X0] : truth = implies(X0,not(not(X0))),
inference(superposition,[],[f406,f1]) ).
fof(f406,plain,
! [X0] : truth = implies(truth,implies(X0,not(not(X0)))),
inference(backward_demodulation,[],[f276,f397]) ).
fof(f276,plain,
! [X0] : truth = implies(implies(implies(falsehood,not(X0)),truth),implies(X0,not(not(X0)))),
inference(superposition,[],[f74,f125]) ).
fof(f74,plain,
! [X0,X1] : truth = implies(or(not(X1),X0),implies(X1,X0)),
inference(superposition,[],[f20,f7]) ).
fof(f350,plain,
! [X0] : and(truth,X0) = not(not(X0)),
inference(backward_demodulation,[],[f39,f347]) ).
fof(f39,plain,
! [X0] : and(truth,X0) = not(or(falsehood,not(X0))),
inference(superposition,[],[f8,f16]) ).
fof(f8,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).
fof(f25,plain,
x != and(truth,x),
inference(superposition,[],[f24,f10]) ).
fof(f10,axiom,
! [X0,X1] : and(X0,X1) = and(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_commutativity) ).
fof(f24,plain,
x != and(x,truth),
inference(superposition,[],[f17,f18]) ).
fof(f18,plain,
! [X0,X1] : and(X0,X1) = and_star(X0,X1),
inference(forward_demodulation,[],[f13,f8]) ).
fof(f13,axiom,
! [X0,X1] : not(or(not(X0),not(X1))) = and_star(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_star_definition) ).
fof(f17,axiom,
x != and_star(x,truth),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : LCL156-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri May 3 13:37:09 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 % (21817)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30 % (21818)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.30 % (21823)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)
% 0.09/0.30 TRYING [1]
% 0.09/0.30 TRYING [2]
% 0.09/0.30 % (21820)WARNING: value z3 for option sas not known
% 0.09/0.30 % (21821)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.30 % (21822)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)
% 0.09/0.30 % (21819)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.30 % (21820)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)
% 0.09/0.30 % (21824)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)
% 0.09/0.30 TRYING [1]
% 0.09/0.31 TRYING [2]
% 0.09/0.31 TRYING [3]
% 0.09/0.31 TRYING [3]
% 0.13/0.32 % (21823)First to succeed.
% 0.13/0.32 % (21823)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21817"
% 0.13/0.32 % (21823)Refutation found. Thanks to Tanya!
% 0.13/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.32 % (21823)------------------------------
% 0.13/0.32 % (21823)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.32 % (21823)Termination reason: Refutation
% 0.13/0.32
% 0.13/0.32 % (21823)Memory used [KB]: 1152
% 0.13/0.32 % (21823)Time elapsed: 0.024 s
% 0.13/0.32 % (21823)Instructions burned: 56 (million)
% 0.13/0.32 % (21817)Success in time 0.038 s
%------------------------------------------------------------------------------