TSTP Solution File: LCL211-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL211-10 : TPTP v8.1.2. Released v7.5.0.
% 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 07:44:31 EDT 2024
% Result : Unsatisfiable 73.04s 10.75s
% Output : Refutation 73.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% 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 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 116 ( 116 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f431554,plain,
$false,
inference(trivial_inequality_removal,[],[f431387]) ).
fof(f431387,plain,
true != true,
inference(superposition,[],[f10,f431372]) ).
fof(f431372,plain,
! [X0,X1] : true = theorem(implies(not(X0),implies(or(X1,X0),X1))),
inference(superposition,[],[f431075,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f431075,plain,
! [X0,X1] : true = ifeq(true,true,theorem(implies(not(X1),implies(or(X0,X1),X0))),true),
inference(forward_demodulation,[],[f430976,f1]) ).
fof(f430976,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(true,true,theorem(implies(not(X1),implies(or(X0,X1),X0))),true),true),
inference(superposition,[],[f102,f430920]) ).
fof(f430920,plain,
! [X0,X1] : true = theorem(or(implies(or(X0,X1),X0),not(not(X1)))),
inference(superposition,[],[f425534,f1]) ).
fof(f425534,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(implies(or(X0,X1),X0),not(not(X1)))),true),
inference(superposition,[],[f13178,f46251]) ).
fof(f46251,plain,
! [X0,X1] : true = theorem(implies(or(X0,X1),or(X0,not(not(X1))))),
inference(superposition,[],[f3416,f1]) ).
fof(f3416,plain,
! [X0,X1] : true = ifeq(true,true,theorem(implies(or(X1,X0),or(X1,not(not(X0))))),true),
inference(superposition,[],[f973,f1490]) ).
fof(f1490,plain,
! [X2,X0,X1] : true = theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(superposition,[],[f57,f1]) ).
fof(f57,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),true),
inference(superposition,[],[f8,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] : true = axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f8,axiom,
! [X3] : true = ifeq(axiom(X3),true,theorem(X3),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f973,plain,
! [X0,X1] : true = ifeq(theorem(implies(implies(X0,not(not(X0))),X1)),true,theorem(X1),true),
inference(forward_demodulation,[],[f960,f1]) ).
fof(f960,plain,
! [X0,X1] : true = ifeq(theorem(implies(implies(X0,not(not(X0))),X1)),true,ifeq(true,true,theorem(X1),true),true),
inference(superposition,[],[f9,f929]) ).
fof(f929,plain,
! [X0] : true = theorem(implies(X0,not(not(X0)))),
inference(superposition,[],[f927,f7]) ).
fof(f7,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f927,plain,
! [X0] : true = theorem(or(X0,not(X0))),
inference(superposition,[],[f885,f1]) ).
fof(f885,plain,
! [X0] : true = ifeq(true,true,theorem(or(X0,not(X0))),true),
inference(superposition,[],[f729,f64]) ).
fof(f64,plain,
! [X0,X1] : true = theorem(implies(implies(X0,X1),or(X1,not(X0)))),
inference(superposition,[],[f62,f7]) ).
fof(f62,plain,
! [X0,X1] : true = theorem(implies(or(X0,X1),or(X1,X0))),
inference(superposition,[],[f18,f1]) ).
fof(f18,plain,
! [X0,X1] : true = ifeq(true,true,theorem(implies(or(X0,X1),or(X1,X0))),true),
inference(superposition,[],[f8,f4]) ).
fof(f4,axiom,
! [X0,X1] : true = axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f729,plain,
! [X0,X1] : true = ifeq(theorem(implies(implies(X0,X0),X1)),true,theorem(X1),true),
inference(forward_demodulation,[],[f719,f1]) ).
fof(f719,plain,
! [X0,X1] : true = ifeq(theorem(implies(implies(X0,X0),X1)),true,ifeq(true,true,theorem(X1),true),true),
inference(superposition,[],[f9,f705]) ).
fof(f705,plain,
! [X0] : true = theorem(implies(X0,X0)),
inference(superposition,[],[f653,f1]) ).
fof(f653,plain,
! [X0] : true = ifeq(true,true,theorem(implies(X0,X0)),true),
inference(superposition,[],[f141,f649]) ).
fof(f649,plain,
! [X0,X1] : true = theorem(or(X0,implies(X1,X1))),
inference(superposition,[],[f616,f1]) ).
fof(f616,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(X1,implies(X0,X0))),true),
inference(superposition,[],[f130,f539]) ).
fof(f539,plain,
! [X2,X0,X1] : true = theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f522,f7]) ).
fof(f522,plain,
! [X2,X0,X1] : true = theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[],[f515,f7]) ).
fof(f515,plain,
! [X2,X0,X1] : true = theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(superposition,[],[f50,f1]) ).
fof(f50,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),true),
inference(superposition,[],[f8,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : true = axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f130,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,theorem(X2),true),
inference(forward_demodulation,[],[f114,f1]) ).
fof(f114,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,ifeq(true,true,theorem(X2),true),true),
inference(superposition,[],[f9,f34]) ).
fof(f34,plain,
! [X0,X1] : true = theorem(implies(X0,or(X1,X0))),
inference(superposition,[],[f14,f1]) ).
fof(f14,plain,
! [X0,X1] : true = ifeq(true,true,theorem(implies(X0,or(X1,X0))),true),
inference(superposition,[],[f8,f3]) ).
fof(f3,axiom,
! [X0,X1] : true = axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f141,plain,
! [X0] : true = ifeq(theorem(or(X0,X0)),true,theorem(X0),true),
inference(superposition,[],[f100,f1]) ).
fof(f100,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,X0)),true,theorem(X0),true),true),
inference(superposition,[],[f9,f25]) ).
fof(f25,plain,
! [X0] : true = theorem(implies(or(X0,X0),X0)),
inference(superposition,[],[f13,f1]) ).
fof(f13,plain,
! [X0] : true = ifeq(true,true,theorem(implies(or(X0,X0),X0)),true),
inference(superposition,[],[f8,f2]) ).
fof(f2,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f9,axiom,
! [X3,X4] : true = ifeq(theorem(implies(X4,X3)),true,ifeq(theorem(X4),true,theorem(X3),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f13178,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(or(implies(or(X0,X1),X0),X1),X2)),true,theorem(X2),true),
inference(forward_demodulation,[],[f13148,f1]) ).
fof(f13148,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(or(implies(or(X0,X1),X0),X1),X2)),true,ifeq(true,true,theorem(X2),true),true),
inference(superposition,[],[f9,f13106]) ).
fof(f13106,plain,
! [X0,X1] : true = theorem(or(implies(or(X0,X1),X0),X1)),
inference(superposition,[],[f12812,f1]) ).
fof(f12812,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(implies(or(X1,X0),X1),X0)),true),
inference(superposition,[],[f9151,f12800]) ).
fof(f12800,plain,
! [X0,X1] : true = theorem(or(X0,implies(or(X1,X0),X1))),
inference(superposition,[],[f12528,f1]) ).
fof(f12528,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(X1,implies(or(X0,X1),X0))),true),
inference(superposition,[],[f125,f539]) ).
fof(f125,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(implies(or(X0,X1),or(X1,X0)),X2)),true,theorem(X2),true),
inference(forward_demodulation,[],[f109,f1]) ).
fof(f109,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(implies(or(X0,X1),or(X1,X0)),X2)),true,ifeq(true,true,theorem(X2),true),true),
inference(superposition,[],[f9,f62]) ).
fof(f9151,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),
inference(superposition,[],[f101,f1]) ).
fof(f101,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true),
inference(superposition,[],[f9,f62]) ).
fof(f102,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,not(X1))),true,theorem(implies(X1,X0)),true),true),
inference(superposition,[],[f9,f65]) ).
fof(f65,plain,
! [X0,X1] : true = theorem(implies(or(X1,not(X0)),implies(X0,X1))),
inference(superposition,[],[f62,f7]) ).
fof(f10,axiom,
true != theorem(implies(not(q),implies(or(p,q),p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL211-10 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 13:12:01 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (27542)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (27545)WARNING: value z3 for option sas not known
% 0.16/0.38 % (27543)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (27546)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (27544)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (27545)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)
% 0.16/0.38 % (27547)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)
% 0.16/0.38 % (27548)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)
% 0.16/0.38 % (27549)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)
% 0.23/0.38 TRYING [1]
% 0.23/0.38 TRYING [2]
% 0.23/0.39 TRYING [1]
% 0.23/0.39 TRYING [2]
% 0.23/0.39 TRYING [3]
% 0.23/0.40 TRYING [3]
% 0.23/0.41 TRYING [4]
% 0.23/0.45 TRYING [4]
% 1.39/0.59 TRYING [5]
% 5.52/1.14 TRYING [5]
% 7.86/1.48 TRYING [1]
% 7.86/1.48 TRYING [2]
% 7.86/1.48 TRYING [3]
% 7.86/1.49 TRYING [4]
% 8.34/1.55 TRYING [5]
% 9.85/1.76 TRYING [6]
% 16.20/2.71 TRYING [7]
% 18.14/2.94 TRYING [6]
% 51.27/7.73 TRYING [8]
% 72.92/10.73 % (27549)First to succeed.
% 72.92/10.73 % (27549)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27542"
% 73.04/10.75 % (27549)Refutation found. Thanks to Tanya!
% 73.04/10.75 % SZS status Unsatisfiable for theBenchmark
% 73.04/10.75 % SZS output start Proof for theBenchmark
% See solution above
% 73.04/10.75 % (27549)------------------------------
% 73.04/10.75 % (27549)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 73.04/10.75 % (27549)Termination reason: Refutation
% 73.04/10.75
% 73.04/10.75 % (27549)Memory used [KB]: 184238
% 73.04/10.75 % (27549)Time elapsed: 10.353 s
% 73.04/10.75 % (27549)Instructions burned: 37239 (million)
% 73.04/10.75 % (27542)Success in time 10.253 s
%------------------------------------------------------------------------------