TSTP Solution File: LCL116-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL116-2 : 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 : 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 : Sun May 5 07:44:07 EDT 2024
% Result : Unsatisfiable 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 5
% Syntax : Number of formulae : 59 ( 59 unt; 0 def)
% Number of atoms : 59 ( 58 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 : 85 ( 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10703,plain,
$false,
inference(trivial_inequality_removal,[],[f10638]) ).
fof(f10638,plain,
truth != truth,
inference(superposition,[],[f5,f7491]) ).
fof(f7491,plain,
! [X0,X1] : truth = implies(not(X0),implies(X1,not(implies(X1,X0)))),
inference(forward_demodulation,[],[f7421,f6762]) ).
fof(f6762,plain,
! [X0,X1] : implies(X1,not(X0)) = implies(X0,not(X1)),
inference(superposition,[],[f5754,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f5754,plain,
! [X0,X1] : implies(X0,not(X1)) = implies(truth,implies(X1,not(X0))),
inference(forward_demodulation,[],[f5753,f1]) ).
fof(f5753,plain,
! [X0,X1] : implies(truth,implies(X1,not(X0))) = implies(truth,implies(X0,not(X1))),
inference(forward_demodulation,[],[f5692,f4189]) ).
fof(f4189,plain,
! [X0,X1] : truth = implies(implies(X1,not(X0)),implies(X0,not(X1))),
inference(forward_demodulation,[],[f4156,f4148]) ).
fof(f4148,plain,
! [X0] : not(X0) = implies(X0,not(truth)),
inference(superposition,[],[f2615,f4107]) ).
fof(f4107,plain,
! [X0] : implies(not(X0),not(truth)) = X0,
inference(forward_demodulation,[],[f4106,f1]) ).
fof(f4106,plain,
! [X0] : implies(truth,X0) = implies(not(X0),not(truth)),
inference(forward_demodulation,[],[f4105,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(f4105,plain,
! [X0] : implies(not(X0),not(truth)) = implies(implies(implies(not(X0),not(truth)),X0),X0),
inference(forward_demodulation,[],[f4068,f1]) ).
fof(f4068,plain,
! [X0] : implies(implies(implies(not(X0),not(truth)),X0),X0) = implies(truth,implies(not(X0),not(truth))),
inference(superposition,[],[f3,f3984]) ).
fof(f3984,plain,
! [X0] : truth = implies(X0,implies(not(X0),not(truth))),
inference(superposition,[],[f2771,f1]) ).
fof(f2771,plain,
! [X0] : truth = implies(truth,implies(X0,implies(not(X0),not(truth)))),
inference(superposition,[],[f4,f2750]) ).
fof(f2750,plain,
! [X0] : truth = implies(not(implies(X0,not(truth))),X0),
inference(forward_demodulation,[],[f2749,f1]) ).
fof(f2749,plain,
! [X0] : truth = implies(implies(truth,not(implies(X0,not(truth)))),X0),
inference(forward_demodulation,[],[f2719,f2553]) ).
fof(f2553,plain,
truth = not(not(truth)),
inference(superposition,[],[f2467,f1987]) ).
fof(f1987,plain,
not(not(truth)) = implies(not(truth),not(not(truth))),
inference(forward_demodulation,[],[f1986,f1]) ).
fof(f1986,plain,
implies(not(truth),not(not(truth))) = implies(truth,not(not(truth))),
inference(forward_demodulation,[],[f1900,f156]) ).
fof(f156,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f139,f1]) ).
fof(f139,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f71,f1]) ).
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(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(f1900,plain,
implies(not(truth),not(not(truth))) = implies(implies(not(truth),not(truth)),not(not(truth))),
inference(superposition,[],[f1451,f1533]) ).
fof(f1533,plain,
not(truth) = implies(not(not(truth)),not(truth)),
inference(forward_demodulation,[],[f1455,f1]) ).
fof(f1455,plain,
implies(not(not(truth)),not(truth)) = implies(truth,not(truth)),
inference(superposition,[],[f506,f20]) ).
fof(f506,plain,
! [X0,X1] : implies(X1,X0) = implies(implies(implies(X1,X0),X0),X0),
inference(forward_demodulation,[],[f496,f1]) ).
fof(f496,plain,
! [X0,X1] : implies(truth,implies(X1,X0)) = implies(implies(implies(X1,X0),X0),X0),
inference(superposition,[],[f3,f431]) ).
fof(f431,plain,
! [X0,X1] : truth = implies(X0,implies(X1,X0)),
inference(superposition,[],[f226,f1]) ).
fof(f226,plain,
! [X0,X1] : truth = implies(truth,implies(X1,implies(X0,X1))),
inference(forward_demodulation,[],[f225,f1]) ).
fof(f225,plain,
! [X0,X1] : truth = implies(truth,implies(implies(truth,X1),implies(X0,X1))),
inference(forward_demodulation,[],[f217,f156]) ).
fof(f217,plain,
! [X0,X1] : truth = implies(truth,implies(implies(implies(X0,X0),X1),implies(X0,X1))),
inference(superposition,[],[f2,f136]) ).
fof(f136,plain,
! [X0] : truth = implies(X0,implies(X0,X0)),
inference(superposition,[],[f71,f6]) ).
fof(f6,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f3,f1]) ).
fof(f1451,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(implies(X1,X0),X0),X1),
inference(superposition,[],[f506,f3]) ).
fof(f2467,plain,
! [X0] : truth = implies(not(truth),X0),
inference(superposition,[],[f2430,f1]) ).
fof(f2430,plain,
! [X0,X1] : truth = implies(not(X1),implies(X1,X0)),
inference(forward_demodulation,[],[f2299,f1]) ).
fof(f2299,plain,
! [X0,X1] : truth = implies(not(X1),implies(truth,implies(X1,X0))),
inference(superposition,[],[f1785,f4]) ).
fof(f1785,plain,
! [X2,X0,X1] : truth = implies(X2,implies(implies(implies(X1,X2),X0),X0)),
inference(superposition,[],[f1655,f3]) ).
fof(f1655,plain,
! [X2,X0,X1] : truth = implies(X0,implies(X1,implies(X2,X0))),
inference(superposition,[],[f1225,f1]) ).
fof(f1225,plain,
! [X2,X0,X1] : truth = implies(truth,implies(X0,implies(X2,implies(X1,X0)))),
inference(superposition,[],[f504,f431]) ).
fof(f504,plain,
! [X2,X0,X1] : truth = implies(implies(X2,X0),implies(X2,implies(X1,X0))),
inference(forward_demodulation,[],[f494,f1]) ).
fof(f494,plain,
! [X2,X0,X1] : truth = implies(implies(X2,X0),implies(truth,implies(X2,implies(X1,X0)))),
inference(superposition,[],[f2,f431]) ).
fof(f2719,plain,
! [X0] : truth = implies(implies(not(not(truth)),not(implies(X0,not(truth)))),X0),
inference(superposition,[],[f4,f2615]) ).
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(f2615,plain,
! [X0] : implies(implies(X0,not(truth)),not(truth)) = X0,
inference(forward_demodulation,[],[f2568,f1]) ).
fof(f2568,plain,
! [X0] : implies(truth,X0) = implies(implies(X0,not(truth)),not(truth)),
inference(superposition,[],[f3,f2467]) ).
fof(f4156,plain,
! [X0,X1] : truth = implies(implies(X1,not(X0)),implies(X0,implies(X1,not(truth)))),
inference(superposition,[],[f2,f4107]) ).
fof(f5692,plain,
! [X0,X1] : implies(truth,implies(X1,not(X0))) = implies(implies(implies(X1,not(X0)),implies(X0,not(X1))),implies(X0,not(X1))),
inference(superposition,[],[f3,f4189]) ).
fof(f7421,plain,
! [X0,X1] : truth = implies(not(X0),implies(implies(X1,X0),not(X1))),
inference(superposition,[],[f71,f6827]) ).
fof(f6827,plain,
! [X0,X1] : implies(X1,X0) = implies(not(X0),not(X1)),
inference(forward_demodulation,[],[f6740,f1]) ).
fof(f6740,plain,
! [X0,X1] : implies(not(X0),not(X1)) = implies(truth,implies(X1,X0)),
inference(superposition,[],[f5754,f4290]) ).
fof(f4290,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[],[f4203,f4148]) ).
fof(f4203,plain,
! [X0] : not(implies(X0,not(truth))) = X0,
inference(superposition,[],[f4148,f2615]) ).
fof(f5,axiom,
truth != implies(not(a),implies(b,not(implies(b,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_50) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : LCL116-2 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n014.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
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 13:36:01 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (32624)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (32627)WARNING: value z3 for option sas not known
% 0.11/0.34 % (32627)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 % (32626)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 % (32631)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 % (32630)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 % (32625)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (32629)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 % (32628)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 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]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [4]
% 0.11/0.36 TRYING [4]
% 0.11/0.37 TRYING [5]
% 0.17/0.40 TRYING [6]
% 0.17/0.42 TRYING [5]
% 0.17/0.50 % (32631)First to succeed.
% 0.17/0.50 % (32631)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32624"
% 0.17/0.50 % (32631)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (32631)------------------------------
% 0.17/0.50 % (32631)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.50 % (32631)Termination reason: Refutation
% 0.17/0.50
% 0.17/0.50 % (32631)Memory used [KB]: 3338
% 0.17/0.50 % (32631)Time elapsed: 0.156 s
% 0.17/0.50 % (32631)Instructions burned: 376 (million)
% 0.17/0.50 % (32624)Success in time 0.156 s
%------------------------------------------------------------------------------