TSTP Solution File: LCL154-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL154-1 : 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 : n021.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 0.17s 0.40s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 11
% Syntax : Number of formulae : 93 ( 93 unt; 0 def)
% Number of atoms : 93 ( 92 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 107 ( 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2281,plain,
$false,
inference(trivial_inequality_removal,[],[f2278]) ).
fof(f2278,plain,
x != x,
inference(superposition,[],[f24,f2049]) ).
fof(f2049,plain,
! [X0] : xor(falsehood,X0) = X0,
inference(forward_demodulation,[],[f2047,f839]) ).
fof(f839,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[],[f838,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f838,plain,
! [X0] : implies(truth,X0) = not(not(X0)),
inference(forward_demodulation,[],[f837,f403]) ).
fof(f403,plain,
! [X0] : truth = or(X0,not(X0)),
inference(backward_demodulation,[],[f123,f395]) ).
fof(f395,plain,
! [X0] : truth = implies(implies(falsehood,X0),truth),
inference(backward_demodulation,[],[f116,f347]) ).
fof(f347,plain,
! [X0] : truth = implies(X0,X0),
inference(backward_demodulation,[],[f80,f345]) ).
fof(f345,plain,
! [X0] : or(falsehood,X0) = X0,
inference(forward_demodulation,[],[f335,f1]) ).
fof(f335,plain,
! [X0] : implies(truth,X0) = or(falsehood,X0),
inference(superposition,[],[f5,f310]) ).
fof(f310,plain,
truth = not(falsehood),
inference(superposition,[],[f300,f1]) ).
fof(f300,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f80,f266]) ).
fof(f266,plain,
truth = or(falsehood,not(falsehood)),
inference(superposition,[],[f123,f82]) ).
fof(f82,plain,
truth = implies(implies(falsehood,falsehood),truth),
inference(superposition,[],[f78,f28]) ).
fof(f28,plain,
! [X0] : or(truth,X0) = implies(falsehood,X0),
inference(superposition,[],[f5,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_definition) ).
fof(f78,plain,
! [X0] : truth = implies(or(X0,falsehood),X0),
inference(forward_demodulation,[],[f67,f1]) ).
fof(f67,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(f5,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_definition) ).
fof(f80,plain,
! [X0] : truth = implies(or(falsehood,X0),X0),
inference(superposition,[],[f78,f7]) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_commutativity) ).
fof(f116,plain,
! [X0] : implies(not(X0),not(X0)) = implies(implies(falsehood,X0),truth),
inference(forward_demodulation,[],[f101,f37]) ).
fof(f37,plain,
! [X0] : implies(falsehood,X0) = or(X0,truth),
inference(superposition,[],[f28,f7]) ).
fof(f101,plain,
! [X0] : implies(not(X0),not(X0)) = implies(or(X0,truth),truth),
inference(superposition,[],[f88,f5]) ).
fof(f88,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(f123,plain,
! [X0] : or(X0,not(X0)) = implies(implies(falsehood,X0),truth),
inference(forward_demodulation,[],[f122,f37]) ).
fof(f122,plain,
! [X0] : implies(or(X0,truth),truth) = or(X0,not(X0)),
inference(forward_demodulation,[],[f107,f5]) ).
fof(f107,plain,
! [X0] : implies(implies(not(X0),truth),truth) = or(X0,not(X0)),
inference(superposition,[],[f88,f5]) ).
fof(f837,plain,
! [X0] : not(not(X0)) = implies(or(X0,not(X0)),X0),
inference(forward_demodulation,[],[f836,f7]) ).
fof(f836,plain,
! [X0] : not(not(X0)) = implies(or(not(X0),X0),X0),
inference(forward_demodulation,[],[f835,f5]) ).
fof(f835,plain,
! [X0] : not(not(X0)) = implies(implies(not(not(X0)),X0),X0),
inference(forward_demodulation,[],[f820,f1]) ).
fof(f820,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(superposition,[],[f3,f789]) ).
fof(f789,plain,
! [X0] : truth = implies(X0,not(not(X0))),
inference(superposition,[],[f404,f1]) ).
fof(f404,plain,
! [X0] : truth = implies(truth,implies(X0,not(not(X0)))),
inference(backward_demodulation,[],[f274,f395]) ).
fof(f274,plain,
! [X0] : truth = implies(implies(implies(falsehood,not(X0)),truth),implies(X0,not(not(X0)))),
inference(superposition,[],[f72,f123]) ).
fof(f72,plain,
! [X0,X1] : truth = implies(or(not(X1),X0),implies(X1,X0)),
inference(superposition,[],[f20,f7]) ).
fof(f2047,plain,
! [X0] : not(not(X0)) = xor(falsehood,X0),
inference(backward_demodulation,[],[f1732,f2044]) ).
fof(f2044,plain,
! [X0] : not(X0) = xor(X0,truth),
inference(backward_demodulation,[],[f1551,f2036]) ).
fof(f2036,plain,
! [X0] : not(X0) = xor(falsehood,not(X0)),
inference(backward_demodulation,[],[f1747,f2035]) ).
fof(f2035,plain,
! [X0] : not(X0) = xor(truth,X0),
inference(forward_demodulation,[],[f2029,f521]) ).
fof(f521,plain,
! [X0] : or(X0,falsehood) = X0,
inference(superposition,[],[f345,f7]) ).
fof(f2029,plain,
! [X0] : or(not(X0),falsehood) = xor(truth,X0),
inference(backward_demodulation,[],[f1523,f2025]) ).
fof(f2025,plain,
! [X0] : falsehood = and(falsehood,X0),
inference(forward_demodulation,[],[f1980,f16]) ).
fof(f1980,plain,
! [X0] : not(truth) = and(falsehood,X0),
inference(backward_demodulation,[],[f1111,f1976]) ).
fof(f1976,plain,
! [X1] : truth = implies(X1,truth),
inference(forward_demodulation,[],[f1935,f1]) ).
fof(f1935,plain,
! [X1] : truth = implies(implies(truth,X1),truth),
inference(backward_demodulation,[],[f934,f1928]) ).
fof(f1928,plain,
! [X0] : truth = implies(falsehood,X0),
inference(backward_demodulation,[],[f1348,f1927]) ).
fof(f1927,plain,
! [X0] : truth = implies(not(X0),truth),
inference(forward_demodulation,[],[f1888,f395]) ).
fof(f1888,plain,
! [X0] : truth = implies(not(X0),implies(implies(falsehood,X0),truth)),
inference(superposition,[],[f919,f1348]) ).
fof(f919,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
inference(forward_demodulation,[],[f877,f1]) ).
fof(f877,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(f1348,plain,
! [X0] : implies(falsehood,X0) = implies(not(X0),truth),
inference(superposition,[],[f1085,f839]) ).
fof(f1085,plain,
! [X0] : implies(falsehood,not(X0)) = implies(X0,truth),
inference(superposition,[],[f956,f37]) ).
fof(f956,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(superposition,[],[f5,f839]) ).
fof(f934,plain,
! [X0,X1] : truth = implies(implies(implies(falsehood,X0),X1),truth),
inference(forward_demodulation,[],[f907,f394]) ).
fof(f394,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(backward_demodulation,[],[f88,f347]) ).
fof(f907,plain,
! [X0,X1] : truth = implies(implies(implies(falsehood,X0),X1),implies(implies(X1,truth),truth)),
inference(superposition,[],[f2,f395]) ).
fof(f1111,plain,
! [X0] : not(implies(X0,truth)) = and(falsehood,X0),
inference(backward_demodulation,[],[f481,f1085]) ).
fof(f481,plain,
! [X0] : not(implies(falsehood,not(X0))) = and(falsehood,X0),
inference(forward_demodulation,[],[f336,f28]) ).
fof(f336,plain,
! [X0] : and(falsehood,X0) = not(or(truth,not(X0))),
inference(superposition,[],[f8,f310]) ).
fof(f8,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).
fof(f1523,plain,
! [X0] : xor(truth,X0) = or(not(X0),and(falsehood,X0)),
inference(forward_demodulation,[],[f1479,f1111]) ).
fof(f1479,plain,
! [X0] : xor(truth,X0) = or(not(X0),not(implies(X0,truth))),
inference(superposition,[],[f1068,f1]) ).
fof(f1068,plain,
! [X0,X1] : xor(X0,X1) = or(not(implies(X0,X1)),not(implies(X1,X0))),
inference(backward_demodulation,[],[f1065,f1067]) ).
fof(f1067,plain,
! [X0,X1] : and(not(X0),X1) = not(implies(X1,X0)),
inference(forward_demodulation,[],[f960,f956]) ).
fof(f960,plain,
! [X0,X1] : and(not(X0),X1) = not(or(not(X1),X0)),
inference(superposition,[],[f33,f839]) ).
fof(f33,plain,
! [X0,X1] : and(X0,X1) = not(or(not(X1),not(X0))),
inference(superposition,[],[f8,f7]) ).
fof(f1065,plain,
! [X0,X1] : xor(X0,X1) = or(not(implies(X0,X1)),and(not(X0),X1)),
inference(backward_demodulation,[],[f11,f1064]) ).
fof(f1064,plain,
! [X0,X1] : not(implies(X1,X0)) = and(X1,not(X0)),
inference(forward_demodulation,[],[f958,f956]) ).
fof(f958,plain,
! [X0,X1] : and(X1,not(X0)) = not(or(not(X1),X0)),
inference(superposition,[],[f8,f839]) ).
fof(f11,axiom,
! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(not(X0),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_definition) ).
fof(f1747,plain,
! [X0] : xor(truth,X0) = xor(falsehood,not(X0)),
inference(superposition,[],[f1572,f12]) ).
fof(f12,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutativity) ).
fof(f1572,plain,
! [X0] : xor(truth,X0) = xor(not(X0),falsehood),
inference(forward_demodulation,[],[f1571,f1523]) ).
fof(f1571,plain,
! [X0] : xor(not(X0),falsehood) = or(not(X0),and(falsehood,X0)),
inference(forward_demodulation,[],[f1570,f521]) ).
fof(f1570,plain,
! [X0] : xor(not(X0),falsehood) = or(not(or(X0,falsehood)),and(falsehood,X0)),
inference(forward_demodulation,[],[f1569,f5]) ).
fof(f1569,plain,
! [X0] : xor(not(X0),falsehood) = or(not(implies(not(X0),falsehood)),and(falsehood,X0)),
inference(forward_demodulation,[],[f1506,f1111]) ).
fof(f1506,plain,
! [X0] : xor(not(X0),falsehood) = or(not(implies(not(X0),falsehood)),not(implies(X0,truth))),
inference(superposition,[],[f1068,f1085]) ).
fof(f1551,plain,
! [X0] : xor(falsehood,not(X0)) = xor(X0,truth),
inference(backward_demodulation,[],[f1541,f1550]) ).
fof(f1550,plain,
! [X0] : xor(X0,truth) = or(and(falsehood,X0),not(X0)),
inference(forward_demodulation,[],[f1492,f1]) ).
fof(f1492,plain,
! [X0] : xor(X0,truth) = or(and(falsehood,X0),not(implies(truth,X0))),
inference(superposition,[],[f1068,f1111]) ).
fof(f1541,plain,
! [X0] : xor(falsehood,not(X0)) = or(and(falsehood,X0),not(X0)),
inference(forward_demodulation,[],[f1540,f1111]) ).
fof(f1540,plain,
! [X0] : xor(falsehood,not(X0)) = or(not(implies(X0,truth)),not(X0)),
inference(forward_demodulation,[],[f1539,f521]) ).
fof(f1539,plain,
! [X0] : xor(falsehood,not(X0)) = or(not(implies(X0,truth)),not(or(X0,falsehood))),
inference(forward_demodulation,[],[f1489,f5]) ).
fof(f1489,plain,
! [X0] : xor(falsehood,not(X0)) = or(not(implies(X0,truth)),not(implies(not(X0),falsehood))),
inference(superposition,[],[f1068,f1085]) ).
fof(f1732,plain,
! [X0] : xor(falsehood,X0) = xor(not(X0),truth),
inference(superposition,[],[f1551,f839]) ).
fof(f24,plain,
x != xor(falsehood,x),
inference(superposition,[],[f17,f12]) ).
fof(f17,axiom,
x != xor(x,falsehood),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : LCL154-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 13:34:43 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (668)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (670)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (671)WARNING: value z3 for option sas not known
% 0.11/0.34 % (675)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)
% 0.11/0.34 % (674)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)
% 0.11/0.34 % (669)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (672)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (671)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)
% 0.11/0.34 % (673)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)
% 0.11/0.34 TRYING [1]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.36 TRYING [3]
% 0.11/0.39 TRYING [4]
% 0.11/0.40 TRYING [1]
% 0.11/0.40 TRYING [2]
% 0.17/0.40 % (674)First to succeed.
% 0.17/0.40 % (674)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-668"
% 0.17/0.40 TRYING [3]
% 0.17/0.40 % (674)Refutation found. Thanks to Tanya!
% 0.17/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.40 % (674)------------------------------
% 0.17/0.40 % (674)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.40 % (674)Termination reason: Refutation
% 0.17/0.40
% 0.17/0.40 % (674)Memory used [KB]: 1537
% 0.17/0.40 % (674)Time elapsed: 0.061 s
% 0.17/0.40 % (674)Instructions burned: 120 (million)
% 0.17/0.40 % (668)Success in time 0.076 s
%------------------------------------------------------------------------------