TSTP Solution File: LCL203-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL203-10 : TPTP v8.1.2. Released v7.3.0.
% 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 : Tue Apr 30 13:40:54 EDT 2024
% Result : Unsatisfiable 17.29s 2.87s
% Output : Refutation 17.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 57 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 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 : 146 ( 146 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f105229,plain,
$false,
inference(trivial_inequality_removal,[],[f105155]) ).
fof(f105155,plain,
true != true,
inference(superposition,[],[f16,f105152]) ).
fof(f105152,plain,
! [X2,X0,X1] : true = theorem(implies(not(or(X0,X1)),implies(X0,X2))),
inference(superposition,[],[f104453,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f104453,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(implies(not(or(X0,X1)),implies(X0,X2))),true),
inference(forward_demodulation,[],[f104346,f1]) ).
fof(f104346,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(true,true,theorem(implies(not(or(X0,X1)),implies(X0,X2))),true),true),
inference(superposition,[],[f171,f104340]) ).
fof(f104340,plain,
! [X2,X0,X1] : true = theorem(implies(X0,implies(not(or(X0,X1)),X2))),
inference(superposition,[],[f102681,f1]) ).
fof(f102681,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(implies(X0,implies(not(or(X0,X1)),X2))),true),
inference(superposition,[],[f14302,f74994]) ).
fof(f74994,plain,
! [X2,X0,X1] : true = theorem(implies(implies(or(X0,X1),X2),implies(X0,X2))),
inference(superposition,[],[f43886,f1]) ).
fof(f43886,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(implies(implies(or(X0,X1),X2),implies(X0,X2))),true),
inference(superposition,[],[f11206,f43869]) ).
fof(f43869,plain,
! [X2,X0,X1] : true = theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(forward_demodulation,[],[f43809,f7]) ).
fof(f7,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f43809,plain,
! [X2,X0,X1] : true = theorem(implies(implies(X0,X1),implies(implies(X1,X2),or(not(X0),X2)))),
inference(superposition,[],[f43805,f7]) ).
fof(f43805,plain,
! [X2,X0,X1] : true = theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2)))),
inference(superposition,[],[f2894,f1]) ).
fof(f2894,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(implies(or(X2,X0),implies(implies(X0,X1),or(X2,X1)))),true),
inference(superposition,[],[f193,f157]) ).
fof(f157,plain,
! [X2,X0,X1] : true = theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f151,f7]) ).
fof(f151,plain,
! [X2,X0,X1] : true = theorem(implies(implies(X0,implies(X1,X2)),implies(X1,or(not(X0),X2)))),
inference(superposition,[],[f145,f7]) ).
fof(f145,plain,
! [X2,X0,X1] : true = theorem(implies(or(X2,implies(X0,X1)),implies(X0,or(X2,X1)))),
inference(forward_demodulation,[],[f136,f7]) ).
fof(f136,plain,
! [X2,X0,X1] : true = theorem(implies(or(X2,implies(X0,X1)),or(not(X0),or(X2,X1)))),
inference(superposition,[],[f130,f7]) ).
fof(f130,plain,
! [X2,X0,X1] : true = theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(superposition,[],[f32,f1]) ).
fof(f32,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(f8,axiom,
! [X3] : true = ifeq(axiom(X3),true,theorem(X3),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f193,plain,
! [X2,X3,X0,X1] : true = ifeq(theorem(implies(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))),X3)),true,theorem(X3),true),
inference(forward_demodulation,[],[f189,f1]) ).
fof(f189,plain,
! [X2,X3,X0,X1] : true = ifeq(theorem(implies(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))),X3)),true,ifeq(true,true,theorem(X3),true),true),
inference(superposition,[],[f9,f180]) ).
fof(f180,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(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(f11206,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(implies(X0,or(X0,X1)),X2)),true,theorem(X2),true),
inference(forward_demodulation,[],[f11174,f1]) ).
fof(f11174,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(implies(X0,or(X0,X1)),X2)),true,ifeq(true,true,theorem(X2),true),true),
inference(superposition,[],[f9,f11143]) ).
fof(f11143,plain,
! [X0,X1] : true = theorem(implies(X0,or(X0,X1))),
inference(superposition,[],[f11076,f1]) ).
fof(f11076,plain,
! [X0,X1] : true = ifeq(true,true,theorem(implies(X0,or(X0,X1))),true),
inference(superposition,[],[f117,f11063]) ).
fof(f11063,plain,
! [X2,X0,X1] : true = theorem(implies(implies(X0,or(X1,X2)),implies(X0,or(X2,X1)))),
inference(forward_demodulation,[],[f11018,f7]) ).
fof(f11018,plain,
! [X2,X0,X1] : true = theorem(implies(implies(X0,or(X1,X2)),or(not(X0),or(X2,X1)))),
inference(superposition,[],[f10931,f7]) ).
fof(f10931,plain,
! [X2,X0,X1] : true = theorem(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1)))),
inference(superposition,[],[f1295,f1]) ).
fof(f1295,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(implies(or(X2,or(X0,X1)),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f112,f180]) ).
fof(f112,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(implies(or(X0,X1),or(X1,X0)),X2)),true,theorem(X2),true),
inference(forward_demodulation,[],[f96,f1]) ).
fof(f96,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(f62,plain,
! [X0,X1] : true = theorem(implies(or(X0,X1),or(X1,X0))),
inference(superposition,[],[f19,f1]) ).
fof(f19,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(f117,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,theorem(X2),true),
inference(forward_demodulation,[],[f101,f1]) ).
fof(f101,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,f44]) ).
fof(f44,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(f14302,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(implies(X0,implies(not(X0),X1)),X2)),true,theorem(X2),true),
inference(forward_demodulation,[],[f14270,f1]) ).
fof(f14270,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(implies(X0,implies(not(X0),X1)),X2)),true,ifeq(true,true,theorem(X2),true),true),
inference(superposition,[],[f9,f14177]) ).
fof(f14177,plain,
! [X0,X1] : true = theorem(implies(X0,implies(not(X0),X1))),
inference(superposition,[],[f14175,f7]) ).
fof(f14175,plain,
! [X0,X1] : true = theorem(or(X0,implies(X0,X1))),
inference(superposition,[],[f13865,f1]) ).
fof(f13865,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(X0,implies(X0,X1))),true),
inference(superposition,[],[f11206,f146]) ).
fof(f146,plain,
! [X2,X0,X1] : true = theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f137,f7]) ).
fof(f137,plain,
! [X2,X0,X1] : true = theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[],[f130,f7]) ).
fof(f171,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(implies(X0,implies(X1,X2))),true,theorem(implies(X1,implies(X0,X2))),true),true),
inference(superposition,[],[f9,f157]) ).
fof(f16,plain,
true != theorem(implies(not(or(p,q)),implies(p,not(q)))),
inference(forward_demodulation,[],[f10,f7]) ).
fof(f10,axiom,
true != theorem(implies(not(or(p,q)),or(not(p),not(q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL203-10 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:58:48 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (25905)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (25909)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (25908)WARNING: value z3 for option sas not known
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (25907)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (25906)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (25908)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)
% 0.14/0.37 % (25912)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)
% 0.14/0.37 % (25910)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)
% 0.14/0.37 % (25911)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)
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.20/0.45 TRYING [4]
% 0.20/0.56 TRYING [5]
% 5.24/1.10 TRYING [5]
% 7.95/1.47 TRYING [1]
% 7.95/1.47 TRYING [2]
% 7.95/1.47 TRYING [3]
% 8.02/1.48 TRYING [4]
% 8.38/1.56 TRYING [5]
% 10.96/1.95 TRYING [6]
% 17.29/2.87 % (25908)First to succeed.
% 17.29/2.87 % (25908)Refutation found. Thanks to Tanya!
% 17.29/2.87 % SZS status Unsatisfiable for theBenchmark
% 17.29/2.87 % SZS output start Proof for theBenchmark
% See solution above
% 17.29/2.87 % (25908)------------------------------
% 17.29/2.87 % (25908)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 17.29/2.87 % (25908)Termination reason: Refutation
% 17.29/2.87
% 17.29/2.87 % (25908)Memory used [KB]: 53538
% 17.29/2.87 % (25908)Time elapsed: 2.500 s
% 17.29/2.87 % (25908)Instructions burned: 9684 (million)
% 17.29/2.87 % (25908)------------------------------
% 17.29/2.87 % (25908)------------------------------
% 17.29/2.87 % (25905)Success in time 2.495 s
%------------------------------------------------------------------------------