TSTP Solution File: LCL113-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL113-2 : 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 : n003.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 07:44:06 EDT 2024
% Result : Unsatisfiable 0.16s 0.40s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 5
% Syntax : Number of formulae : 62 ( 62 unt; 0 def)
% Number of atoms : 62 ( 61 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3452,plain,
$false,
inference(trivial_inequality_removal,[],[f3412]) ).
fof(f3412,plain,
truth != truth,
inference(superposition,[],[f5,f2484]) ).
fof(f2484,plain,
! [X0,X1] : truth = implies(implies(not(X0),X1),implies(not(X1),X0)),
inference(forward_demodulation,[],[f2461,f2424]) ).
fof(f2424,plain,
! [X0] : not(X0) = implies(X0,not(truth)),
inference(superposition,[],[f1163,f2362]) ).
fof(f2362,plain,
! [X0] : implies(not(X0),not(truth)) = X0,
inference(forward_demodulation,[],[f2361,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f2361,plain,
! [X0] : implies(truth,X0) = implies(not(X0),not(truth)),
inference(forward_demodulation,[],[f2360,f20]) ).
fof(f20,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f4,f1]) ).
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(f2360,plain,
! [X0] : implies(not(X0),not(truth)) = implies(implies(implies(not(X0),not(truth)),X0),X0),
inference(forward_demodulation,[],[f2327,f1]) ).
fof(f2327,plain,
! [X0] : implies(implies(implies(not(X0),not(truth)),X0),X0) = implies(truth,implies(not(X0),not(truth))),
inference(superposition,[],[f3,f2234]) ).
fof(f2234,plain,
! [X0] : truth = implies(X0,implies(not(X0),not(truth))),
inference(superposition,[],[f1187,f1]) ).
fof(f1187,plain,
! [X0] : truth = implies(truth,implies(X0,implies(not(X0),not(truth)))),
inference(superposition,[],[f4,f1127]) ).
fof(f1127,plain,
! [X0] : truth = implies(not(implies(X0,not(truth))),X0),
inference(forward_demodulation,[],[f1126,f1]) ).
fof(f1126,plain,
! [X0] : truth = implies(implies(truth,not(implies(X0,not(truth)))),X0),
inference(forward_demodulation,[],[f1125,f1]) ).
fof(f1125,plain,
! [X0] : truth = implies(implies(truth,not(implies(X0,not(truth)))),implies(truth,X0)),
inference(forward_demodulation,[],[f1118,f958]) ).
fof(f958,plain,
! [X0] : truth = implies(not(truth),X0),
inference(superposition,[],[f929,f1]) ).
fof(f929,plain,
! [X0,X1] : truth = implies(not(X1),implies(X1,X0)),
inference(forward_demodulation,[],[f867,f1]) ).
fof(f867,plain,
! [X0,X1] : truth = implies(not(X1),implies(truth,implies(X1,X0))),
inference(superposition,[],[f621,f4]) ).
fof(f621,plain,
! [X2,X0,X1] : truth = implies(X2,implies(implies(implies(X1,X2),X0),X0)),
inference(superposition,[],[f550,f3]) ).
fof(f550,plain,
! [X2,X0,X1] : truth = implies(X0,implies(X1,implies(X2,X0))),
inference(superposition,[],[f324,f1]) ).
fof(f324,plain,
! [X2,X0,X1] : truth = implies(truth,implies(X0,implies(X2,implies(X1,X0)))),
inference(superposition,[],[f318,f267]) ).
fof(f267,plain,
! [X0,X1] : truth = implies(X0,implies(X1,X0)),
inference(superposition,[],[f190,f1]) ).
fof(f190,plain,
! [X0,X1] : truth = implies(truth,implies(X0,implies(X1,X0))),
inference(backward_demodulation,[],[f45,f186]) ).
fof(f186,plain,
! [X0] : truth = implies(X0,truth),
inference(backward_demodulation,[],[f137,f165]) ).
fof(f165,plain,
! [X0] : truth = implies(X0,X0),
inference(backward_demodulation,[],[f6,f164]) ).
fof(f164,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(backward_demodulation,[],[f126,f163]) ).
fof(f163,plain,
! [X0] : truth = implies(implies(X0,X0),truth),
inference(backward_demodulation,[],[f9,f159]) ).
fof(f159,plain,
! [X0] : truth = implies(implies(X0,truth),implies(X0,truth)),
inference(backward_demodulation,[],[f89,f139]) ).
fof(f139,plain,
truth = implies(not(truth),truth),
inference(superposition,[],[f71,f78]) ).
fof(f78,plain,
truth = implies(implies(not(truth),truth),truth),
inference(forward_demodulation,[],[f66,f1]) ).
fof(f66,plain,
truth = implies(implies(truth,implies(not(truth),truth)),truth),
inference(superposition,[],[f2,f19]) ).
fof(f19,plain,
! [X0] : truth = implies(implies(implies(not(X0),truth),truth),implies(X0,X0)),
inference(superposition,[],[f4,f6]) ).
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(f71,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
inference(forward_demodulation,[],[f36,f1]) ).
fof(f36,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
inference(superposition,[],[f2,f1]) ).
fof(f89,plain,
! [X0] : truth = implies(implies(X0,implies(not(truth),truth)),implies(X0,truth)),
inference(forward_demodulation,[],[f85,f1]) ).
fof(f85,plain,
! [X0] : truth = implies(implies(X0,implies(not(truth),truth)),implies(truth,implies(X0,truth))),
inference(superposition,[],[f2,f78]) ).
fof(f9,plain,
! [X0] : implies(implies(X0,truth),implies(X0,truth)) = implies(implies(X0,X0),truth),
inference(superposition,[],[f6,f6]) ).
fof(f126,plain,
! [X0] : truth = implies(implies(X0,truth),implies(implies(X0,X0),truth)),
inference(superposition,[],[f71,f6]) ).
fof(f6,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f3,f1]) ).
fof(f137,plain,
! [X0] : truth = implies(X0,implies(X0,X0)),
inference(superposition,[],[f71,f6]) ).
fof(f45,plain,
! [X0,X1] : truth = implies(implies(X1,truth),implies(X0,implies(X1,X0))),
inference(superposition,[],[f2,f1]) ).
fof(f318,plain,
! [X2,X0,X1] : truth = implies(implies(X2,X0),implies(X2,implies(X1,X0))),
inference(forward_demodulation,[],[f311,f1]) ).
fof(f311,plain,
! [X2,X0,X1] : truth = implies(implies(X2,X0),implies(truth,implies(X2,implies(X1,X0)))),
inference(superposition,[],[f2,f267]) ).
fof(f1118,plain,
! [X0] : truth = implies(implies(truth,not(implies(X0,not(truth)))),implies(implies(not(truth),X0),X0)),
inference(superposition,[],[f21,f992]) ).
fof(f992,plain,
truth = not(not(truth)),
inference(backward_demodulation,[],[f714,f958]) ).
fof(f714,plain,
not(not(truth)) = implies(not(truth),not(not(truth))),
inference(forward_demodulation,[],[f713,f1]) ).
fof(f713,plain,
implies(not(truth),not(not(truth))) = implies(truth,not(not(truth))),
inference(forward_demodulation,[],[f680,f165]) ).
fof(f680,plain,
implies(not(truth),not(not(truth))) = implies(implies(not(truth),not(truth)),not(not(truth))),
inference(superposition,[],[f391,f417]) ).
fof(f417,plain,
not(truth) = implies(not(not(truth)),not(truth)),
inference(forward_demodulation,[],[f393,f1]) ).
fof(f393,plain,
implies(not(not(truth)),not(truth)) = implies(truth,not(truth)),
inference(superposition,[],[f320,f20]) ).
fof(f320,plain,
! [X0,X1] : implies(X1,X0) = implies(implies(implies(X1,X0),X0),X0),
inference(forward_demodulation,[],[f313,f1]) ).
fof(f313,plain,
! [X0,X1] : implies(truth,implies(X1,X0)) = implies(implies(implies(X1,X0),X0),X0),
inference(superposition,[],[f3,f267]) ).
fof(f391,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(implies(X1,X0),X0),X1),
inference(superposition,[],[f320,f3]) ).
fof(f21,plain,
! [X0,X1] : truth = implies(implies(not(X1),not(implies(X0,X1))),implies(implies(X1,X0),X0)),
inference(superposition,[],[f4,f3]) ).
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(f1163,plain,
! [X0] : implies(implies(X0,not(truth)),not(truth)) = X0,
inference(forward_demodulation,[],[f1139,f1]) ).
fof(f1139,plain,
! [X0] : implies(truth,X0) = implies(implies(X0,not(truth)),not(truth)),
inference(superposition,[],[f3,f958]) ).
fof(f2461,plain,
! [X0,X1] : truth = implies(implies(not(X0),X1),implies(implies(X1,not(truth)),X0)),
inference(backward_demodulation,[],[f1250,f2424]) ).
fof(f1250,plain,
! [X0,X1] : truth = implies(implies(implies(X0,not(truth)),X1),implies(implies(X1,not(truth)),X0)),
inference(superposition,[],[f2,f1163]) ).
fof(f5,axiom,
truth != implies(implies(not(x),y),implies(not(y),x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_33) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL113-2 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 13:27:50 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (28111)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (28114)WARNING: value z3 for option sas not known
% 0.16/0.33 % (28117)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)
% 0.16/0.33 % (28118)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)
% 0.16/0.33 % (28116)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)
% 0.16/0.33 % (28113)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (28114)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)
% 0.16/0.33 % (28112)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (28115)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [4]
% 0.16/0.35 TRYING [5]
% 0.16/0.35 TRYING [4]
% 0.16/0.40 TRYING [6]
% 0.16/0.40 % (28117)First to succeed.
% 0.16/0.40 % (28117)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28111"
% 0.16/0.40 % (28117)Refutation found. Thanks to Tanya!
% 0.16/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.40 % (28117)------------------------------
% 0.16/0.40 % (28117)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.40 % (28117)Termination reason: Refutation
% 0.16/0.40
% 0.16/0.40 % (28117)Memory used [KB]: 1950
% 0.16/0.40 % (28117)Time elapsed: 0.076 s
% 0.16/0.40 % (28117)Instructions burned: 174 (million)
% 0.16/0.40 % (28111)Success in time 0.086 s
%------------------------------------------------------------------------------