TSTP Solution File: LCL155-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL155-1 : 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 : n010.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 13:40:39 EDT 2024
% Result : Unsatisfiable 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 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 : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f820,plain,
$false,
inference(trivial_inequality_removal,[],[f819]) ).
fof(f819,plain,
falsehood != falsehood,
inference(superposition,[],[f17,f798]) ).
fof(f798,plain,
! [X0] : falsehood = xor(X0,X0),
inference(forward_demodulation,[],[f797,f277]) ).
fof(f277,plain,
! [X0] : or(X0,falsehood) = X0,
inference(superposition,[],[f241,f7]) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_commutativity) ).
fof(f241,plain,
! [X0] : or(falsehood,X0) = X0,
inference(forward_demodulation,[],[f233,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f233,plain,
! [X0] : implies(truth,X0) = or(falsehood,X0),
inference(superposition,[],[f5,f217]) ).
fof(f217,plain,
truth = not(falsehood),
inference(superposition,[],[f207,f1]) ).
fof(f207,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f162,f177]) ).
fof(f177,plain,
truth = or(falsehood,not(falsehood)),
inference(superposition,[],[f164,f112]) ).
fof(f112,plain,
! [X0] : or(X0,not(X0)) = implies(implies(falsehood,X0),truth),
inference(forward_demodulation,[],[f111,f19]) ).
fof(f19,plain,
! [X0] : implies(falsehood,X0) = or(X0,truth),
inference(superposition,[],[f18,f7]) ).
fof(f18,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(f111,plain,
! [X0] : implies(or(X0,truth),truth) = or(X0,not(X0)),
inference(forward_demodulation,[],[f104,f5]) ).
fof(f104,plain,
! [X0] : implies(implies(not(X0),truth),truth) = or(X0,not(X0)),
inference(superposition,[],[f92,f5]) ).
fof(f92,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(f164,plain,
truth = implies(implies(falsehood,falsehood),truth),
inference(superposition,[],[f158,f18]) ).
fof(f158,plain,
! [X0] : truth = implies(or(X0,falsehood),X0),
inference(forward_demodulation,[],[f140,f1]) ).
fof(f140,plain,
! [X0] : truth = implies(or(X0,falsehood),implies(truth,X0)),
inference(superposition,[],[f139,f16]) ).
fof(f139,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(f162,plain,
! [X0] : truth = implies(or(falsehood,X0),X0),
inference(superposition,[],[f158,f7]) ).
fof(f5,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_definition) ).
fof(f797,plain,
! [X0] : or(falsehood,falsehood) = xor(X0,X0),
inference(forward_demodulation,[],[f796,f379]) ).
fof(f379,plain,
! [X0] : falsehood = and(X0,not(X0)),
inference(forward_demodulation,[],[f364,f16]) ).
fof(f364,plain,
! [X0] : not(truth) = and(X0,not(X0)),
inference(superposition,[],[f8,f318]) ).
fof(f318,plain,
! [X0] : truth = or(X0,not(X0)),
inference(superposition,[],[f280,f5]) ).
fof(f280,plain,
! [X0] : truth = implies(X0,X0),
inference(superposition,[],[f162,f241]) ).
fof(f8,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).
fof(f796,plain,
! [X0] : xor(X0,X0) = or(falsehood,and(X0,not(X0))),
inference(forward_demodulation,[],[f770,f10]) ).
fof(f10,axiom,
! [X0,X1] : and(X0,X1) = and(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_commutativity) ).
fof(f770,plain,
! [X0] : xor(X0,X0) = or(falsehood,and(not(X0),X0)),
inference(superposition,[],[f11,f379]) ).
fof(f11,axiom,
! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(not(X0),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_definition) ).
fof(f17,axiom,
falsehood != xor(x,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL155-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.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 : Mon Apr 29 22:40:20 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (20613)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (20618)WARNING: value z3 for option sas not known
% 0.14/0.38 % (20617)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (20619)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (20620)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)
% 0.14/0.38 % (20621)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)
% 0.14/0.38 % (20622)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)
% 0.14/0.38 % (20616)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (20618)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 % (20618)First to succeed.
% 0.14/0.40 TRYING [3]
% 0.14/0.40 % (20618)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (20618)------------------------------
% 0.14/0.40 % (20618)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40 % (20618)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (20618)Memory used [KB]: 1064
% 0.14/0.40 % (20618)Time elapsed: 0.026 s
% 0.14/0.40 % (20618)Instructions burned: 43 (million)
% 0.14/0.40 % (20618)------------------------------
% 0.14/0.40 % (20618)------------------------------
% 0.14/0.40 % (20613)Success in time 0.042 s
%------------------------------------------------------------------------------