TSTP Solution File: LCL111-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL111-2 : 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 : n005.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 13:40:31 EDT 2024
% Result : Unsatisfiable 12.11s 2.07s
% Output : Refutation 12.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78610,plain,
$false,
inference(trivial_inequality_removal,[],[f78373]) ).
fof(f78373,plain,
truth != truth,
inference(superposition,[],[f5,f77651]) ).
fof(f77651,plain,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))),
inference(forward_demodulation,[],[f76476,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f76476,plain,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(truth,implies(implies(X2,X0),implies(X2,X1)))),
inference(superposition,[],[f780,f10420]) ).
fof(f10420,plain,
! [X2,X3,X0,X1] : truth = implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)),
inference(superposition,[],[f40,f1]) ).
fof(f40,plain,
! [X2,X3,X0,X1] : truth = implies(truth,implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3))),
inference(superposition,[],[f2,f2]) ).
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(f780,plain,
! [X2,X0,X1] : truth = implies(X1,implies(implies(implies(implies(X1,X2),X2),X0),X0)),
inference(superposition,[],[f605,f3]) ).
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(f605,plain,
! [X2,X0,X1] : truth = implies(X1,implies(X2,implies(implies(X1,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(f4,axiom,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_4) ).
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(f5,axiom,
truth != implies(implies(x,y),implies(implies(z,x),implies(z,y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_25) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL111-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Apr 29 22:58:11 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (3556)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (3559)WARNING: value z3 for option sas not known
% 0.14/0.38 % (3560)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (3557)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (3558)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (3562)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)
% 0.14/0.38 % (3561)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)
% 0.14/0.38 % (3559)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)
% 0.14/0.38 % (3563)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [5]
% 0.21/0.41 TRYING [4]
% 0.21/0.45 TRYING [6]
% 0.21/0.49 TRYING [5]
% 0.21/0.55 TRYING [7]
% 2.03/0.66 TRYING [6]
% 2.03/0.68 TRYING [8]
% 3.94/0.93 TRYING [9]
% 6.77/1.32 TRYING [7]
% 7.82/1.48 TRYING [1]
% 7.82/1.48 TRYING [2]
% 7.82/1.48 TRYING [3]
% 7.82/1.48 TRYING [4]
% 8.00/1.49 TRYING [5]
% 8.00/1.51 TRYING [10]
% 8.00/1.52 TRYING [6]
% 8.39/1.57 TRYING [7]
% 9.40/1.69 TRYING [8]
% 11.07/1.95 TRYING [9]
% 11.57/2.06 % (3562)First to succeed.
% 12.11/2.07 % (3562)Refutation found. Thanks to Tanya!
% 12.11/2.07 % SZS status Unsatisfiable for theBenchmark
% 12.11/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 12.11/2.07 % (3562)------------------------------
% 12.11/2.07 % (3562)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 12.11/2.07 % (3562)Termination reason: Refutation
% 12.11/2.07
% 12.11/2.07 % (3562)Memory used [KB]: 25777
% 12.11/2.07 % (3562)Time elapsed: 1.688 s
% 12.11/2.07 % (3562)Instructions burned: 4965 (million)
% 12.11/2.07 % (3562)------------------------------
% 12.11/2.07 % (3562)------------------------------
% 12.11/2.07 % (3556)Success in time 1.689 s
%------------------------------------------------------------------------------