TSTP Solution File: LCL157-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL157-1 : 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 : n014.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 13:40:40 EDT 2024
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 11
% Syntax : Number of formulae : 65 ( 65 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2231,plain,
$false,
inference(trivial_inequality_removal,[],[f2226]) ).
fof(f2226,plain,
falsehood != falsehood,
inference(superposition,[],[f25,f2027]) ).
fof(f2027,plain,
! [X0] : falsehood = and(falsehood,X0),
inference(forward_demodulation,[],[f1982,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_definition) ).
fof(f1982,plain,
! [X0] : not(truth) = and(falsehood,X0),
inference(backward_demodulation,[],[f1113,f1978]) ).
fof(f1978,plain,
! [X1] : truth = implies(X1,truth),
inference(forward_demodulation,[],[f1937,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f1937,plain,
! [X1] : truth = implies(implies(truth,X1),truth),
inference(backward_demodulation,[],[f927,f1930]) ).
fof(f1930,plain,
! [X0] : truth = implies(falsehood,X0),
inference(backward_demodulation,[],[f1350,f1929]) ).
fof(f1929,plain,
! [X0] : truth = implies(not(X0),truth),
inference(forward_demodulation,[],[f1890,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(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/sandbox2/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f125,plain,
! [X0] : or(X0,not(X0)) = implies(implies(falsehood,X0),truth),
inference(forward_demodulation,[],[f124,f31]) ).
fof(f31,plain,
! [X0] : implies(falsehood,X0) = or(X0,truth),
inference(superposition,[],[f30,f7]) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_commutativity) ).
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(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/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f5,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_definition) ).
fof(f82,plain,
! [X0] : truth = implies(or(falsehood,X0),X0),
inference(superposition,[],[f80,f7]) ).
fof(f118,plain,
! [X0] : implies(not(X0),not(X0)) = implies(implies(falsehood,X0),truth),
inference(forward_demodulation,[],[f103,f31]) ).
fof(f103,plain,
! [X0] : implies(not(X0),not(X0)) = implies(or(X0,truth),truth),
inference(superposition,[],[f86,f5]) ).
fof(f1890,plain,
! [X0] : truth = implies(not(X0),implies(implies(falsehood,X0),truth)),
inference(superposition,[],[f912,f1350]) ).
fof(f912,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
inference(forward_demodulation,[],[f870,f1]) ).
fof(f870,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
inference(superposition,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f1350,plain,
! [X0] : implies(falsehood,X0) = implies(not(X0),truth),
inference(superposition,[],[f1087,f841]) ).
fof(f841,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[],[f840,f1]) ).
fof(f840,plain,
! [X0] : implies(truth,X0) = not(not(X0)),
inference(forward_demodulation,[],[f839,f405]) ).
fof(f405,plain,
! [X0] : truth = or(X0,not(X0)),
inference(backward_demodulation,[],[f125,f397]) ).
fof(f839,plain,
! [X0] : not(not(X0)) = implies(or(X0,not(X0)),X0),
inference(forward_demodulation,[],[f838,f7]) ).
fof(f838,plain,
! [X0] : not(not(X0)) = implies(or(not(X0),X0),X0),
inference(forward_demodulation,[],[f837,f5]) ).
fof(f837,plain,
! [X0] : not(not(X0)) = implies(implies(not(not(X0)),X0),X0),
inference(forward_demodulation,[],[f822,f1]) ).
fof(f822,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(superposition,[],[f3,f791]) ).
fof(f791,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(f1087,plain,
! [X0] : implies(falsehood,not(X0)) = implies(X0,truth),
inference(superposition,[],[f958,f31]) ).
fof(f958,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(superposition,[],[f5,f841]) ).
fof(f927,plain,
! [X0,X1] : truth = implies(implies(implies(falsehood,X0),X1),truth),
inference(forward_demodulation,[],[f900,f396]) ).
fof(f396,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(backward_demodulation,[],[f86,f349]) ).
fof(f900,plain,
! [X0,X1] : truth = implies(implies(implies(falsehood,X0),X1),implies(implies(X1,truth),truth)),
inference(superposition,[],[f2,f397]) ).
fof(f1113,plain,
! [X0] : not(implies(X0,truth)) = and(falsehood,X0),
inference(backward_demodulation,[],[f483,f1087]) ).
fof(f483,plain,
! [X0] : not(implies(falsehood,not(X0))) = and(falsehood,X0),
inference(forward_demodulation,[],[f338,f30]) ).
fof(f338,plain,
! [X0] : and(falsehood,X0) = not(or(truth,not(X0))),
inference(superposition,[],[f8,f312]) ).
fof(f8,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).
fof(f25,plain,
falsehood != and(falsehood,x),
inference(superposition,[],[f24,f10]) ).
fof(f10,axiom,
! [X0,X1] : and(X0,X1) = and(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_commutativity) ).
fof(f24,plain,
falsehood != and(x,falsehood),
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/sandbox2/benchmark/theBenchmark.p',and_star_definition) ).
fof(f17,axiom,
falsehood != and_star(x,falsehood),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL157-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 23:12:34 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (23222)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (23225)WARNING: value z3 for option sas not known
% 0.15/0.38 % (23227)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)
% 0.15/0.38 % (23226)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (23225)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)
% 0.15/0.38 % (23224)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (23228)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)
% 0.15/0.38 % (23229)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)
% 0.15/0.38 % (23223)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.41 TRYING [3]
% 0.15/0.42 TRYING [1]
% 0.15/0.42 TRYING [2]
% 0.15/0.42 TRYING [3]
% 0.15/0.44 TRYING [4]
% 0.15/0.44 TRYING [4]
% 0.20/0.44 % (23228)First to succeed.
% 0.20/0.44 % (23228)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (23228)------------------------------
% 0.20/0.44 % (23228)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.44 % (23228)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (23228)Memory used [KB]: 1537
% 0.20/0.44 % (23228)Time elapsed: 0.061 s
% 0.20/0.44 % (23228)Instructions burned: 118 (million)
% 0.20/0.44 % (23228)------------------------------
% 0.20/0.44 % (23228)------------------------------
% 0.20/0.44 % (23222)Success in time 0.076 s
%------------------------------------------------------------------------------