TSTP Solution File: LCL159-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL159-1 : 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 : n024.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 0.22s 0.59s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 11
% Syntax : Number of formulae : 99 ( 99 unt; 0 def)
% Number of atoms : 99 ( 98 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 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 : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 127 ( 127 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10761,plain,
$false,
inference(trivial_inequality_removal,[],[f10760]) ).
fof(f10760,plain,
xor(x,not(y)) != xor(x,not(y)),
inference(superposition,[],[f2064,f9116]) ).
fof(f9116,plain,
! [X0,X1] : xor(X0,not(X1)) = xor(X1,not(X0)),
inference(superposition,[],[f6868,f845]) ).
fof(f845,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[],[f844,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f844,plain,
! [X0] : implies(truth,X0) = not(not(X0)),
inference(forward_demodulation,[],[f843,f409]) ).
fof(f409,plain,
! [X0] : truth = or(X0,not(X0)),
inference(backward_demodulation,[],[f129,f401]) ).
fof(f401,plain,
! [X0] : truth = implies(implies(falsehood,X0),truth),
inference(backward_demodulation,[],[f122,f353]) ).
fof(f353,plain,
! [X0] : truth = implies(X0,X0),
inference(backward_demodulation,[],[f86,f351]) ).
fof(f351,plain,
! [X0] : or(falsehood,X0) = X0,
inference(forward_demodulation,[],[f341,f1]) ).
fof(f341,plain,
! [X0] : implies(truth,X0) = or(falsehood,X0),
inference(superposition,[],[f5,f316]) ).
fof(f316,plain,
truth = not(falsehood),
inference(superposition,[],[f306,f1]) ).
fof(f306,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f86,f272]) ).
fof(f272,plain,
truth = or(falsehood,not(falsehood)),
inference(superposition,[],[f129,f88]) ).
fof(f88,plain,
truth = implies(implies(falsehood,falsehood),truth),
inference(superposition,[],[f84,f34]) ).
fof(f34,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(f84,plain,
! [X0] : truth = implies(or(X0,falsehood),X0),
inference(forward_demodulation,[],[f73,f1]) ).
fof(f73,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(f86,plain,
! [X0] : truth = implies(or(falsehood,X0),X0),
inference(superposition,[],[f84,f7]) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_commutativity) ).
fof(f122,plain,
! [X0] : implies(not(X0),not(X0)) = implies(implies(falsehood,X0),truth),
inference(forward_demodulation,[],[f107,f35]) ).
fof(f35,plain,
! [X0] : implies(falsehood,X0) = or(X0,truth),
inference(superposition,[],[f34,f7]) ).
fof(f107,plain,
! [X0] : implies(not(X0),not(X0)) = implies(or(X0,truth),truth),
inference(superposition,[],[f90,f5]) ).
fof(f90,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(f129,plain,
! [X0] : or(X0,not(X0)) = implies(implies(falsehood,X0),truth),
inference(forward_demodulation,[],[f128,f35]) ).
fof(f128,plain,
! [X0] : implies(or(X0,truth),truth) = or(X0,not(X0)),
inference(forward_demodulation,[],[f113,f5]) ).
fof(f113,plain,
! [X0] : implies(implies(not(X0),truth),truth) = or(X0,not(X0)),
inference(superposition,[],[f90,f5]) ).
fof(f843,plain,
! [X0] : not(not(X0)) = implies(or(X0,not(X0)),X0),
inference(forward_demodulation,[],[f842,f7]) ).
fof(f842,plain,
! [X0] : not(not(X0)) = implies(or(not(X0),X0),X0),
inference(forward_demodulation,[],[f841,f5]) ).
fof(f841,plain,
! [X0] : not(not(X0)) = implies(implies(not(not(X0)),X0),X0),
inference(forward_demodulation,[],[f826,f1]) ).
fof(f826,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(superposition,[],[f3,f795]) ).
fof(f795,plain,
! [X0] : truth = implies(X0,not(not(X0))),
inference(superposition,[],[f410,f1]) ).
fof(f410,plain,
! [X0] : truth = implies(truth,implies(X0,not(not(X0)))),
inference(backward_demodulation,[],[f280,f401]) ).
fof(f280,plain,
! [X0] : truth = implies(implies(implies(falsehood,not(X0)),truth),implies(X0,not(not(X0)))),
inference(superposition,[],[f78,f129]) ).
fof(f78,plain,
! [X0,X1] : truth = implies(or(not(X1),X0),implies(X1,X0)),
inference(superposition,[],[f20,f7]) ).
fof(f6868,plain,
! [X0,X1] : xor(X1,X0) = xor(not(X0),not(X1)),
inference(forward_demodulation,[],[f6867,f1074]) ).
fof(f1074,plain,
! [X0,X1] : xor(X0,X1) = or(not(implies(X0,X1)),not(implies(X1,X0))),
inference(backward_demodulation,[],[f1071,f1073]) ).
fof(f1073,plain,
! [X0,X1] : and(not(X0),X1) = not(implies(X1,X0)),
inference(forward_demodulation,[],[f966,f962]) ).
fof(f962,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(superposition,[],[f5,f845]) ).
fof(f966,plain,
! [X0,X1] : and(not(X0),X1) = not(or(not(X1),X0)),
inference(superposition,[],[f47,f845]) ).
fof(f47,plain,
! [X0,X1] : and(X0,X1) = not(or(not(X1),not(X0))),
inference(superposition,[],[f8,f7]) ).
fof(f8,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).
fof(f1071,plain,
! [X0,X1] : xor(X0,X1) = or(not(implies(X0,X1)),and(not(X0),X1)),
inference(backward_demodulation,[],[f11,f1070]) ).
fof(f1070,plain,
! [X0,X1] : not(implies(X1,X0)) = and(X1,not(X0)),
inference(forward_demodulation,[],[f964,f962]) ).
fof(f964,plain,
! [X0,X1] : and(X1,not(X0)) = not(or(not(X1),X0)),
inference(superposition,[],[f8,f845]) ).
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(f6867,plain,
! [X0,X1] : or(not(implies(X1,X0)),not(implies(X0,X1))) = xor(not(X0),not(X1)),
inference(forward_demodulation,[],[f6866,f1070]) ).
fof(f6866,plain,
! [X0,X1] : xor(not(X0),not(X1)) = or(not(implies(X1,X0)),and(X0,not(X1))),
inference(forward_demodulation,[],[f6830,f1043]) ).
fof(f1043,plain,
! [X0,X1] : and(X0,X1) = not(implies(X1,not(X0))),
inference(backward_demodulation,[],[f975,f1033]) ).
fof(f1033,plain,
! [X0,X1] : implies(X0,not(X1)) = not(and(X0,X1)),
inference(backward_demodulation,[],[f960,f962]) ).
fof(f960,plain,
! [X0,X1] : or(not(X0),not(X1)) = not(and(X0,X1)),
inference(superposition,[],[f845,f8]) ).
fof(f975,plain,
! [X0,X1] : and(X0,X1) = not(not(and(X1,X0))),
inference(backward_demodulation,[],[f8,f959]) ).
fof(f959,plain,
! [X0,X1] : or(not(X0),not(X1)) = not(and(X1,X0)),
inference(superposition,[],[f845,f47]) ).
fof(f6830,plain,
! [X0,X1] : xor(not(X0),not(X1)) = or(not(implies(X1,X0)),not(implies(not(X1),not(X0)))),
inference(superposition,[],[f1074,f5267]) ).
fof(f5267,plain,
! [X0,X1] : implies(X0,X1) = implies(not(X1),not(X0)),
inference(forward_demodulation,[],[f5205,f845]) ).
fof(f5205,plain,
! [X0,X1] : implies(not(X1),not(X0)) = not(not(implies(X0,X1))),
inference(superposition,[],[f1056,f1070]) ).
fof(f1056,plain,
! [X0,X1] : implies(X1,not(X0)) = not(and(X0,X1)),
inference(forward_demodulation,[],[f1049,f850]) ).
fof(f850,plain,
! [X0] : and(X0,truth) = X0,
inference(backward_demodulation,[],[f355,f845]) ).
fof(f355,plain,
! [X0] : and(X0,truth) = not(not(X0)),
inference(backward_demodulation,[],[f50,f351]) ).
fof(f50,plain,
! [X0] : not(or(falsehood,not(X0))) = and(X0,truth),
inference(forward_demodulation,[],[f45,f7]) ).
fof(f45,plain,
! [X0] : and(X0,truth) = not(or(not(X0),falsehood)),
inference(superposition,[],[f8,f16]) ).
fof(f1049,plain,
! [X0,X1] : not(and(X0,X1)) = and(implies(X1,not(X0)),truth),
inference(backward_demodulation,[],[f995,f1033]) ).
fof(f995,plain,
! [X0,X1] : not(and(X0,X1)) = and(not(and(X1,X0)),truth),
inference(backward_demodulation,[],[f381,f959]) ).
fof(f381,plain,
! [X0,X1] : and(or(not(X0),not(X1)),truth) = not(and(X0,X1)),
inference(backward_demodulation,[],[f62,f351]) ).
fof(f62,plain,
! [X0,X1] : not(or(falsehood,and(X0,X1))) = and(or(not(X0),not(X1)),truth),
inference(superposition,[],[f50,f8]) ).
fof(f2064,plain,
xor(y,not(x)) != xor(x,not(y)),
inference(forward_demodulation,[],[f2050,f2041]) ).
fof(f2041,plain,
! [X0] : not(X0) = xor(truth,X0),
inference(forward_demodulation,[],[f2035,f527]) ).
fof(f527,plain,
! [X0] : or(X0,falsehood) = X0,
inference(superposition,[],[f351,f7]) ).
fof(f2035,plain,
! [X0] : or(not(X0),falsehood) = xor(truth,X0),
inference(backward_demodulation,[],[f1491,f2031]) ).
fof(f2031,plain,
! [X0] : falsehood = and(falsehood,X0),
inference(forward_demodulation,[],[f1986,f16]) ).
fof(f1986,plain,
! [X0] : not(truth) = and(falsehood,X0),
inference(backward_demodulation,[],[f1117,f1982]) ).
fof(f1982,plain,
! [X1] : truth = implies(X1,truth),
inference(forward_demodulation,[],[f1941,f1]) ).
fof(f1941,plain,
! [X1] : truth = implies(implies(truth,X1),truth),
inference(backward_demodulation,[],[f931,f1934]) ).
fof(f1934,plain,
! [X0] : truth = implies(falsehood,X0),
inference(backward_demodulation,[],[f1354,f1933]) ).
fof(f1933,plain,
! [X0] : truth = implies(not(X0),truth),
inference(forward_demodulation,[],[f1894,f401]) ).
fof(f1894,plain,
! [X0] : truth = implies(not(X0),implies(implies(falsehood,X0),truth)),
inference(superposition,[],[f916,f1354]) ).
fof(f916,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
inference(forward_demodulation,[],[f874,f1]) ).
fof(f874,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/sandbox/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f1354,plain,
! [X0] : implies(falsehood,X0) = implies(not(X0),truth),
inference(superposition,[],[f1091,f845]) ).
fof(f1091,plain,
! [X0] : implies(falsehood,not(X0)) = implies(X0,truth),
inference(superposition,[],[f962,f35]) ).
fof(f931,plain,
! [X0,X1] : truth = implies(implies(implies(falsehood,X0),X1),truth),
inference(forward_demodulation,[],[f904,f400]) ).
fof(f400,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(backward_demodulation,[],[f90,f353]) ).
fof(f904,plain,
! [X0,X1] : truth = implies(implies(implies(falsehood,X0),X1),implies(implies(X1,truth),truth)),
inference(superposition,[],[f2,f401]) ).
fof(f1117,plain,
! [X0] : not(implies(X0,truth)) = and(falsehood,X0),
inference(backward_demodulation,[],[f487,f1091]) ).
fof(f487,plain,
! [X0] : not(implies(falsehood,not(X0))) = and(falsehood,X0),
inference(forward_demodulation,[],[f342,f34]) ).
fof(f342,plain,
! [X0] : and(falsehood,X0) = not(or(truth,not(X0))),
inference(superposition,[],[f8,f316]) ).
fof(f1491,plain,
! [X0] : xor(truth,X0) = or(not(X0),and(falsehood,X0)),
inference(forward_demodulation,[],[f1449,f1117]) ).
fof(f1449,plain,
! [X0] : xor(truth,X0) = or(not(X0),not(implies(X0,truth))),
inference(superposition,[],[f1074,f1]) ).
fof(f2050,plain,
xor(x,xor(truth,y)) != xor(y,not(x)),
inference(backward_demodulation,[],[f28,f2041]) ).
fof(f28,plain,
xor(x,xor(truth,y)) != xor(y,xor(truth,x)),
inference(forward_demodulation,[],[f25,f12]) ).
fof(f12,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_commutativity) ).
fof(f25,plain,
xor(x,xor(truth,y)) != xor(y,xor(x,truth)),
inference(superposition,[],[f17,f12]) ).
fof(f17,axiom,
xor(x,xor(truth,y)) != xor(xor(x,truth),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL159-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 22:27:36 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (28412)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (28415)WARNING: value z3 for option sas not known
% 0.15/0.37 % (28417)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)
% 0.15/0.37 % (28418)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)
% 0.15/0.37 % (28413)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (28419)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)
% 0.15/0.37 % (28415)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 % (28414)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 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (28416)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.42 TRYING [3]
% 0.22/0.46 TRYING [4]
% 0.22/0.47 TRYING [4]
% 0.22/0.58 TRYING [5]
% 0.22/0.59 % (28418)First to succeed.
% 0.22/0.59 % (28418)Refutation found. Thanks to Tanya!
% 0.22/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.59 % (28418)------------------------------
% 0.22/0.59 % (28418)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.59 % (28418)Termination reason: Refutation
% 0.22/0.59
% 0.22/0.59 % (28418)Memory used [KB]: 4657
% 0.22/0.59 % (28418)Time elapsed: 0.216 s
% 0.22/0.59 % (28418)Instructions burned: 526 (million)
% 0.22/0.59 % (28418)------------------------------
% 0.22/0.59 % (28418)------------------------------
% 0.22/0.59 % (28412)Success in time 0.22 s
%------------------------------------------------------------------------------