TSTP Solution File: LCL289-10 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL289-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n017.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 : Thu Aug 31 08:23:04 EDT 2023
% Result : Unsatisfiable 278.71s 40.25s
% Output : Refutation 278.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 19
% Syntax : Number of formulae : 167 ( 167 unt; 0 def)
% Number of atoms : 167 ( 166 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 : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-4 aty)
% Number of variables : 201 (; 201 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1921064,plain,
$false,
inference(subsumption_resolution,[],[f1921063,f20]) ).
fof(f20,plain,
true != sF6,
inference(definition_folding,[],[f12,f19,f18,f17,f16,f15,f14,f13]) ).
fof(f13,plain,
not(q) = sF0,
introduced(function_definition,[]) ).
fof(f14,plain,
and(p,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f15,plain,
not(sF1) = sF2,
introduced(function_definition,[]) ).
fof(f16,plain,
not(p) = sF3,
introduced(function_definition,[]) ).
fof(f17,plain,
or(sF3,q) = sF4,
introduced(function_definition,[]) ).
fof(f18,plain,
equivalent(sF2,sF4) = sF5,
introduced(function_definition,[]) ).
fof(f19,plain,
theorem(sF5) = sF6,
introduced(function_definition,[]) ).
fof(f12,axiom,
true != theorem(equivalent(not(and(p,not(q))),or(not(p),q))),
file('/export/starexec/sandbox/tmp/tmp.a0leHsZkO5/Vampire---4.8_28418',prove_this) ).
fof(f1921063,plain,
true = sF6,
inference(forward_demodulation,[],[f1921062,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/tmp/tmp.a0leHsZkO5/Vampire---4.8_28418',ifeq_axiom) ).
fof(f1921062,plain,
true = ifeq(true,true,sF6,true),
inference(forward_demodulation,[],[f1921061,f1194149]) ).
fof(f1194149,plain,
true = theorem(or(not(sF2),sF4)),
inference(forward_demodulation,[],[f1193968,f1]) ).
fof(f1193968,plain,
true = ifeq(true,true,theorem(or(not(sF2),sF4)),true),
inference(superposition,[],[f144,f1193932]) ).
fof(f1193932,plain,
true = theorem(or(sF4,not(sF2))),
inference(forward_demodulation,[],[f1193725,f1]) ).
fof(f1193725,plain,
true = ifeq(true,true,theorem(or(sF4,not(sF2))),true),
inference(superposition,[],[f1879,f1005108]) ).
fof(f1005108,plain,
! [X14] : true = theorem(or(not(or(X14,sF2)),or(sF4,X14))),
inference(forward_demodulation,[],[f1004911,f1]) ).
fof(f1004911,plain,
! [X14] : true = ifeq(true,true,theorem(or(not(or(X14,sF2)),or(sF4,X14))),true),
inference(superposition,[],[f172,f943285]) ).
fof(f943285,plain,
! [X7] : true = theorem(or(sF4,or(not(or(X7,sF2)),X7))),
inference(forward_demodulation,[],[f943058,f1]) ).
fof(f943058,plain,
! [X7] : true = ifeq(true,true,theorem(or(sF4,or(not(or(X7,sF2)),X7))),true),
inference(superposition,[],[f5402,f133262]) ).
fof(f133262,plain,
! [X302] : true = theorem(or(not(or(sF2,X302)),or(sF4,X302))),
inference(forward_demodulation,[],[f132867,f1]) ).
fof(f132867,plain,
! [X302] : true = ifeq(true,true,theorem(or(not(or(sF2,X302)),or(sF4,X302))),true),
inference(superposition,[],[f11317,f79441]) ).
fof(f79441,plain,
true = theorem(or(sF4,sF1)),
inference(forward_demodulation,[],[f79385,f1]) ).
fof(f79385,plain,
true = ifeq(true,true,theorem(or(sF4,sF1)),true),
inference(superposition,[],[f144,f79197]) ).
fof(f79197,plain,
true = theorem(or(sF1,sF4)),
inference(forward_demodulation,[],[f79135,f1]) ).
fof(f79135,plain,
true = ifeq(true,true,theorem(or(sF1,sF4)),true),
inference(superposition,[],[f7004,f79110]) ).
fof(f79110,plain,
true = theorem(or(sF1,or(q,sF3))),
inference(forward_demodulation,[],[f79054,f1]) ).
fof(f79054,plain,
true = ifeq(true,true,theorem(or(sF1,or(q,sF3))),true),
inference(superposition,[],[f172,f79037]) ).
fof(f79037,plain,
true = theorem(or(q,or(sF1,sF3))),
inference(forward_demodulation,[],[f78985,f1]) ).
fof(f78985,plain,
true = ifeq(true,true,theorem(or(q,or(sF1,sF3))),true),
inference(superposition,[],[f144,f78963]) ).
fof(f78963,plain,
true = theorem(or(or(sF1,sF3),q)),
inference(forward_demodulation,[],[f78904,f1]) ).
fof(f78904,plain,
true = ifeq(true,true,theorem(or(or(sF1,sF3),q)),true),
inference(superposition,[],[f6544,f76574]) ).
fof(f76574,plain,
! [X10] : true = theorem(or(or(sF1,sF3),or(X10,q))),
inference(forward_demodulation,[],[f76523,f1]) ).
fof(f76523,plain,
! [X10] : true = ifeq(true,true,theorem(or(or(sF1,sF3),or(X10,q))),true),
inference(superposition,[],[f144,f76338]) ).
fof(f76338,plain,
! [X1] : true = theorem(or(or(X1,q),or(sF1,sF3))),
inference(forward_demodulation,[],[f75432,f1]) ).
fof(f75432,plain,
! [X1] : true = ifeq(true,true,theorem(or(or(X1,q),or(sF1,sF3))),true),
inference(superposition,[],[f587,f4057]) ).
fof(f4057,plain,
! [X0] : true = theorem(or(not(or(X0,sF0)),or(X0,or(sF1,sF3)))),
inference(forward_demodulation,[],[f4032,f1]) ).
fof(f4032,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,sF0)),or(X0,or(sF1,sF3)))),true),
inference(superposition,[],[f332,f1833]) ).
fof(f1833,plain,
true = theorem(or(not(sF0),or(sF1,sF3))),
inference(forward_demodulation,[],[f1759,f1]) ).
fof(f1759,plain,
true = ifeq(true,true,theorem(or(not(sF0),or(sF1,sF3))),true),
inference(superposition,[],[f172,f138]) ).
fof(f138,plain,
true = theorem(or(sF1,or(not(sF0),sF3))),
inference(superposition,[],[f49,f40]) ).
fof(f40,plain,
sF1 = not(or(sF3,not(sF0))),
inference(forward_demodulation,[],[f38,f16]) ).
fof(f38,plain,
sF1 = not(or(not(p),not(sF0))),
inference(superposition,[],[f10,f14]) ).
fof(f10,axiom,
! [X6,X5] : and(X5,X6) = not(or(not(X5),not(X6))),
file('/export/starexec/sandbox/tmp/tmp.a0leHsZkO5/Vampire---4.8_28418',and_defn) ).
fof(f49,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f48,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true),
inference(superposition,[],[f8,f35]) ).
fof(f35,plain,
! [X0,X1] : true = axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(forward_demodulation,[],[f4,f7]) ).
fof(f7,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/tmp/tmp.a0leHsZkO5/Vampire---4.8_28418',implies_definition) ).
fof(f4,axiom,
! [X0,X1] : true = axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.a0leHsZkO5/Vampire---4.8_28418',axiom_1_4) ).
fof(f8,axiom,
! [X3] : true = ifeq(axiom(X3),true,theorem(X3),true),
file('/export/starexec/sandbox/tmp/tmp.a0leHsZkO5/Vampire---4.8_28418',rule_1) ).
fof(f332,plain,
! [X2,X3,X4] : true = ifeq(theorem(or(not(X2),X3)),true,theorem(or(not(or(X4,X2)),or(X4,X3))),true),
inference(forward_demodulation,[],[f322,f1]) ).
fof(f322,plain,
! [X2,X3,X4] : true = ifeq(true,true,ifeq(theorem(or(not(X2),X3)),true,theorem(or(not(or(X4,X2)),or(X4,X3))),true),true),
inference(superposition,[],[f60,f82]) ).
fof(f82,plain,
! [X2,X3,X4] : true = theorem(or(not(or(not(X2),X3)),or(not(or(X4,X2)),or(X4,X3)))),
inference(forward_demodulation,[],[f80,f1]) ).
fof(f80,plain,
! [X2,X3,X4] : true = ifeq(true,true,theorem(or(not(or(not(X2),X3)),or(not(or(X4,X2)),or(X4,X3)))),true),
inference(superposition,[],[f8,f53]) ).
fof(f53,plain,
! [X2,X0,X1] : true = axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(forward_demodulation,[],[f52,f7]) ).
fof(f52,plain,
! [X2,X0,X1] : true = axiom(or(not(implies(X0,X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(forward_demodulation,[],[f51,f7]) ).
fof(f51,plain,
! [X2,X0,X1] : true = axiom(or(not(implies(X0,X1)),implies(or(X2,X0),or(X2,X1)))),
inference(forward_demodulation,[],[f6,f7]) ).
fof(f6,axiom,
! [X2,X0,X1] : true = axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/tmp/tmp.a0leHsZkO5/Vampire---4.8_28418',axiom_1_6) ).
fof(f60,plain,
! [X3,X4] : true = ifeq(theorem(or(not(X4),X3)),true,ifeq(theorem(X4),true,theorem(X3),true),true),
inference(forward_demodulation,[],[f9,f7]) ).
fof(f9,axiom,
! [X3,X4] : true = ifeq(theorem(implies(X4,X3)),true,ifeq(theorem(X4),true,theorem(X3),true),true),
file('/export/starexec/sandbox/tmp/tmp.a0leHsZkO5/Vampire---4.8_28418',rule_2) ).
fof(f587,plain,
! [X6,X7] : true = ifeq(theorem(or(not(or(or(X6,q),sF0)),X7)),true,theorem(X7),true),
inference(forward_demodulation,[],[f576,f1]) ).
fof(f576,plain,
! [X6,X7] : true = ifeq(theorem(or(not(or(or(X6,q),sF0)),X7)),true,ifeq(true,true,theorem(X7),true),true),
inference(superposition,[],[f60,f515]) ).
fof(f515,plain,
! [X12] : true = theorem(or(or(X12,q),sF0)),
inference(forward_demodulation,[],[f485,f1]) ).
fof(f485,plain,
! [X12] : true = ifeq(true,true,theorem(or(or(X12,q),sF0)),true),
inference(superposition,[],[f144,f106]) ).
fof(f106,plain,
! [X2] : true = theorem(or(sF0,or(X2,q))),
inference(superposition,[],[f32,f13]) ).
fof(f32,plain,
! [X2,X1] : true = theorem(or(not(X1),or(X2,X1))),
inference(forward_demodulation,[],[f31,f7]) ).
fof(f31,plain,
! [X2,X1] : true = theorem(implies(X1,or(X2,X1))),
inference(forward_demodulation,[],[f27,f1]) ).
fof(f27,plain,
! [X2,X1] : true = ifeq(true,true,theorem(implies(X1,or(X2,X1))),true),
inference(superposition,[],[f8,f3]) ).
fof(f3,axiom,
! [X0,X1] : true = axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.a0leHsZkO5/Vampire---4.8_28418',axiom_1_3) ).
fof(f6544,plain,
! [X6,X7] : true = ifeq(theorem(or(X6,or(X7,X7))),true,theorem(or(X6,X7)),true),
inference(forward_demodulation,[],[f6514,f1]) ).
fof(f6514,plain,
! [X6,X7] : true = ifeq(true,true,ifeq(theorem(or(X6,or(X7,X7))),true,theorem(or(X6,X7)),true),true),
inference(superposition,[],[f60,f1538]) ).
fof(f1538,plain,
! [X6,X5] : true = theorem(or(not(or(X6,or(X5,X5))),or(X6,X5))),
inference(forward_demodulation,[],[f1475,f1]) ).
fof(f1475,plain,
! [X6,X5] : true = ifeq(true,true,theorem(or(not(or(X6,or(X5,X5))),or(X6,X5))),true),
inference(superposition,[],[f102,f82]) ).
fof(f102,plain,
! [X3,X4] : true = ifeq(theorem(or(not(or(not(or(X3,X3)),X3)),X4)),true,theorem(X4),true),
inference(forward_demodulation,[],[f99,f1]) ).
fof(f99,plain,
! [X3,X4] : true = ifeq(theorem(or(not(or(not(or(X3,X3)),X3)),X4)),true,ifeq(true,true,theorem(X4),true),true),
inference(superposition,[],[f60,f30]) ).
fof(f30,plain,
! [X0] : true = theorem(or(not(or(X0,X0)),X0)),
inference(forward_demodulation,[],[f29,f7]) ).
fof(f29,plain,
! [X0] : true = theorem(implies(or(X0,X0),X0)),
inference(forward_demodulation,[],[f26,f1]) ).
fof(f26,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/tmp/tmp.a0leHsZkO5/Vampire---4.8_28418',axiom_1_2) ).
fof(f7004,plain,
! [X3] : true = ifeq(theorem(or(X3,or(q,sF3))),true,theorem(or(X3,sF4)),true),
inference(forward_demodulation,[],[f6975,f1]) ).
fof(f6975,plain,
! [X3] : true = ifeq(true,true,ifeq(theorem(or(X3,or(q,sF3))),true,theorem(or(X3,sF4)),true),true),
inference(superposition,[],[f60,f2438]) ).
fof(f2438,plain,
! [X41] : true = theorem(or(not(or(X41,or(q,sF3))),or(X41,sF4))),
inference(forward_demodulation,[],[f2387,f1]) ).
fof(f2387,plain,
! [X41] : true = ifeq(true,true,theorem(or(not(or(X41,or(q,sF3))),or(X41,sF4))),true),
inference(superposition,[],[f332,f131]) ).
fof(f131,plain,
true = theorem(or(not(or(q,sF3)),sF4)),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f130,plain,
true = ifeq(true,true,theorem(or(not(or(q,sF3)),sF4)),true),
inference(superposition,[],[f8,f47]) ).
fof(f47,plain,
true = axiom(or(not(or(q,sF3)),sF4)),
inference(superposition,[],[f35,f17]) ).
fof(f11317,plain,
! [X6,X7] : true = ifeq(theorem(or(X6,sF1)),true,theorem(or(not(or(sF2,X7)),or(X6,X7))),true),
inference(forward_demodulation,[],[f11286,f1]) ).
fof(f11286,plain,
! [X6,X7] : true = ifeq(true,true,ifeq(theorem(or(X6,sF1)),true,theorem(or(not(or(sF2,X7)),or(X6,X7))),true),true),
inference(superposition,[],[f60,f1825]) ).
fof(f1825,plain,
! [X48,X49] : true = theorem(or(not(or(X49,sF1)),or(not(or(sF2,X48)),or(X49,X48)))),
inference(forward_demodulation,[],[f1751,f1]) ).
fof(f1751,plain,
! [X48,X49] : true = ifeq(true,true,theorem(or(not(or(X49,sF1)),or(not(or(sF2,X48)),or(X49,X48)))),true),
inference(superposition,[],[f172,f212]) ).
fof(f212,plain,
! [X2,X1] : true = theorem(or(not(or(sF2,X1)),or(not(or(X2,sF1)),or(X2,X1)))),
inference(forward_demodulation,[],[f211,f1]) ).
fof(f211,plain,
! [X2,X1] : true = ifeq(true,true,theorem(or(not(or(sF2,X1)),or(not(or(X2,sF1)),or(X2,X1)))),true),
inference(superposition,[],[f8,f76]) ).
fof(f76,plain,
! [X6,X7] : true = axiom(or(not(or(sF2,X6)),or(not(or(X7,sF1)),or(X7,X6)))),
inference(superposition,[],[f53,f15]) ).
fof(f5402,plain,
! [X68,X69,X67] : true = ifeq(theorem(or(not(or(X67,or(not(or(X68,X67)),X68))),X69)),true,theorem(X69),true),
inference(forward_demodulation,[],[f5369,f1]) ).
fof(f5369,plain,
! [X68,X69,X67] : true = ifeq(theorem(or(not(or(X67,or(not(or(X68,X67)),X68))),X69)),true,ifeq(true,true,theorem(X69),true),true),
inference(superposition,[],[f60,f1820]) ).
fof(f1820,plain,
! [X36,X37] : true = theorem(or(X37,or(not(or(X36,X37)),X36))),
inference(forward_demodulation,[],[f1746,f1]) ).
fof(f1746,plain,
! [X36,X37] : true = ifeq(true,true,theorem(or(X37,or(not(or(X36,X37)),X36))),true),
inference(superposition,[],[f172,f49]) ).
fof(f172,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),
inference(forward_demodulation,[],[f168,f1]) ).
fof(f168,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),true),
inference(superposition,[],[f60,f59]) ).
fof(f59,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(forward_demodulation,[],[f58,f1]) ).
fof(f58,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),true),
inference(superposition,[],[f8,f50]) ).
fof(f50,plain,
! [X2,X0,X1] : true = axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(forward_demodulation,[],[f5,f7]) ).
fof(f5,axiom,
! [X2,X0,X1] : true = axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/tmp/tmp.a0leHsZkO5/Vampire---4.8_28418',axiom_1_5) ).
fof(f1879,plain,
! [X26,X27] : true = ifeq(theorem(or(not(or(not(X26),X26)),X27)),true,theorem(X27),true),
inference(forward_demodulation,[],[f1857,f1]) ).
fof(f1857,plain,
! [X26,X27] : true = ifeq(theorem(or(not(or(not(X26),X26)),X27)),true,ifeq(true,true,theorem(X27),true),true),
inference(superposition,[],[f60,f1710]) ).
fof(f1710,plain,
! [X1] : true = theorem(or(not(X1),X1)),
inference(forward_demodulation,[],[f1686,f1]) ).
fof(f1686,plain,
! [X1] : true = ifeq(true,true,theorem(or(not(X1),X1)),true),
inference(superposition,[],[f101,f1667]) ).
fof(f1667,plain,
! [X6,X5] : true = theorem(or(X6,or(not(X5),X5))),
inference(forward_demodulation,[],[f1602,f1]) ).
fof(f1602,plain,
! [X6,X5] : true = ifeq(true,true,theorem(or(X6,or(not(X5),X5))),true),
inference(superposition,[],[f115,f59]) ).
fof(f115,plain,
! [X6,X7,X5] : true = ifeq(theorem(or(not(or(not(X5),or(X6,X5))),X7)),true,theorem(X7),true),
inference(forward_demodulation,[],[f111,f1]) ).
fof(f111,plain,
! [X6,X7,X5] : true = ifeq(theorem(or(not(or(not(X5),or(X6,X5))),X7)),true,ifeq(true,true,theorem(X7),true),true),
inference(superposition,[],[f60,f32]) ).
fof(f101,plain,
! [X0] : true = ifeq(theorem(or(X0,X0)),true,theorem(X0),true),
inference(forward_demodulation,[],[f97,f1]) ).
fof(f97,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,X0)),true,theorem(X0),true),true),
inference(superposition,[],[f60,f30]) ).
fof(f144,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),
inference(forward_demodulation,[],[f140,f1]) ).
fof(f140,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true),
inference(superposition,[],[f60,f49]) ).
fof(f1921061,plain,
true = ifeq(theorem(or(not(sF2),sF4)),true,sF6,true),
inference(forward_demodulation,[],[f1920840,f1]) ).
fof(f1920840,plain,
true = ifeq(true,true,ifeq(theorem(or(not(sF2),sF4)),true,sF6,true),true),
inference(superposition,[],[f92,f1920070]) ).
fof(f1920070,plain,
true = theorem(or(not(or(not(sF2),sF4)),sF5)),
inference(forward_demodulation,[],[f1919856,f1]) ).
fof(f1919856,plain,
true = ifeq(true,true,theorem(or(not(or(not(sF2),sF4)),sF5)),true),
inference(superposition,[],[f144,f1889454]) ).
fof(f1889454,plain,
true = theorem(or(sF5,not(or(not(sF2),sF4)))),
inference(forward_demodulation,[],[f1889231,f1]) ).
fof(f1889231,plain,
true = ifeq(true,true,theorem(or(sF5,not(or(not(sF2),sF4)))),true),
inference(superposition,[],[f11399,f1888266]) ).
fof(f1888266,plain,
true = theorem(or(not(sF4),sF2)),
inference(forward_demodulation,[],[f1888052,f1]) ).
fof(f1888052,plain,
true = ifeq(true,true,theorem(or(not(sF4),sF2)),true),
inference(superposition,[],[f144,f1886593]) ).
fof(f1886593,plain,
true = theorem(or(sF2,not(sF4))),
inference(forward_demodulation,[],[f1886373,f1]) ).
fof(f1886373,plain,
true = ifeq(true,true,theorem(or(sF2,not(sF4))),true),
inference(superposition,[],[f57692,f1885743]) ).
fof(f1885743,plain,
true = theorem(or(not(or(sF1,sF1)),not(sF4))),
inference(forward_demodulation,[],[f1885527,f1]) ).
fof(f1885527,plain,
true = ifeq(true,true,theorem(or(not(or(sF1,sF1)),not(sF4))),true),
inference(superposition,[],[f144,f1884325]) ).
fof(f1884325,plain,
true = theorem(or(not(sF4),not(or(sF1,sF1)))),
inference(forward_demodulation,[],[f1884324,f40]) ).
fof(f1884324,plain,
true = theorem(or(not(sF4),not(or(not(or(sF3,not(sF0))),not(or(sF3,not(sF0))))))),
inference(forward_demodulation,[],[f1878685,f1]) ).
fof(f1878685,plain,
true = ifeq(true,true,theorem(or(not(sF4),not(or(not(or(sF3,not(sF0))),not(or(sF3,not(sF0))))))),true),
inference(superposition,[],[f79346,f10545]) ).
fof(f10545,plain,
true = theorem(or(not(sF4),or(sF3,not(sF0)))),
inference(forward_demodulation,[],[f10478,f1]) ).
fof(f10478,plain,
true = ifeq(true,true,theorem(or(not(sF4),or(sF3,not(sF0)))),true),
inference(superposition,[],[f711,f1876]) ).
fof(f1876,plain,
! [X8] : true = theorem(or(X8,not(X8))),
inference(forward_demodulation,[],[f1850,f1]) ).
fof(f1850,plain,
! [X8] : true = ifeq(true,true,theorem(or(X8,not(X8))),true),
inference(superposition,[],[f144,f1710]) ).
fof(f711,plain,
! [X0] : true = ifeq(theorem(or(sF0,X0)),true,theorem(or(not(sF4),or(sF3,X0))),true),
inference(forward_demodulation,[],[f696,f1]) ).
fof(f696,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF0,X0)),true,theorem(or(not(sF4),or(sF3,X0))),true),true),
inference(superposition,[],[f60,f165]) ).
fof(f165,plain,
! [X0] : true = theorem(or(not(or(sF0,X0)),or(not(sF4),or(sF3,X0)))),
inference(forward_demodulation,[],[f164,f1]) ).
fof(f164,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(sF0,X0)),or(not(sF4),or(sF3,X0)))),true),
inference(superposition,[],[f8,f81]) ).
fof(f81,plain,
! [X0] : true = axiom(or(not(or(sF0,X0)),or(not(sF4),or(sF3,X0)))),
inference(forward_demodulation,[],[f77,f13]) ).
fof(f77,plain,
! [X0] : true = axiom(or(not(or(not(q),X0)),or(not(sF4),or(sF3,X0)))),
inference(superposition,[],[f53,f17]) ).
fof(f79346,plain,
! [X28,X27] : true = ifeq(theorem(or(X27,X28)),true,theorem(or(X27,not(or(not(X28),not(X28))))),true),
inference(forward_demodulation,[],[f79252,f1]) ).
fof(f79252,plain,
! [X28,X27] : true = ifeq(true,true,ifeq(theorem(or(X27,X28)),true,theorem(or(X27,not(or(not(X28),not(X28))))),true),true),
inference(superposition,[],[f60,f2450]) ).
fof(f2450,plain,
! [X73,X74] : true = theorem(or(not(or(X74,X73)),or(X74,not(or(not(X73),not(X73)))))),
inference(forward_demodulation,[],[f2399,f1]) ).
fof(f2399,plain,
! [X73,X74] : true = ifeq(true,true,theorem(or(not(or(X74,X73)),or(X74,not(or(not(X73),not(X73)))))),true),
inference(superposition,[],[f332,f507]) ).
fof(f507,plain,
! [X1] : true = theorem(or(X1,not(or(X1,X1)))),
inference(forward_demodulation,[],[f477,f1]) ).
fof(f477,plain,
! [X1] : true = ifeq(true,true,theorem(or(X1,not(or(X1,X1)))),true),
inference(superposition,[],[f144,f30]) ).
fof(f57692,plain,
! [X4,X5] : true = ifeq(theorem(or(not(or(X4,sF1)),X5)),true,theorem(or(sF2,X5)),true),
inference(forward_demodulation,[],[f57628,f1]) ).
fof(f57628,plain,
! [X4,X5] : true = ifeq(true,true,ifeq(theorem(or(not(or(X4,sF1)),X5)),true,theorem(or(sF2,X5)),true),true),
inference(superposition,[],[f60,f13799]) ).
fof(f13799,plain,
! [X14,X15] : true = theorem(or(not(or(not(or(X14,sF1)),X15)),or(sF2,X15))),
inference(forward_demodulation,[],[f13753,f1]) ).
fof(f13753,plain,
! [X14,X15] : true = ifeq(true,true,theorem(or(not(or(not(or(X14,sF1)),X15)),or(sF2,X15))),true),
inference(superposition,[],[f135,f1822]) ).
fof(f1822,plain,
! [X41,X42,X43] : true = theorem(or(not(or(X43,X41)),or(not(or(not(X41),X42)),or(X43,X42)))),
inference(forward_demodulation,[],[f1748,f1]) ).
fof(f1748,plain,
! [X41,X42,X43] : true = ifeq(true,true,theorem(or(not(or(X43,X41)),or(not(or(not(X41),X42)),or(X43,X42)))),true),
inference(superposition,[],[f172,f82]) ).
fof(f135,plain,
! [X2,X3] : true = ifeq(theorem(or(not(or(sF2,or(X2,sF1))),X3)),true,theorem(X3),true),
inference(forward_demodulation,[],[f133,f1]) ).
fof(f133,plain,
! [X2,X3] : true = ifeq(theorem(or(not(or(sF2,or(X2,sF1))),X3)),true,ifeq(true,true,theorem(X3),true),true),
inference(superposition,[],[f60,f107]) ).
fof(f107,plain,
! [X3] : true = theorem(or(sF2,or(X3,sF1))),
inference(superposition,[],[f32,f15]) ).
fof(f11399,plain,
true = ifeq(theorem(or(not(sF4),sF2)),true,theorem(or(sF5,not(or(not(sF2),sF4)))),true),
inference(forward_demodulation,[],[f11369,f1]) ).
fof(f11369,plain,
true = ifeq(true,true,ifeq(theorem(or(not(sF4),sF2)),true,theorem(or(sF5,not(or(not(sF2),sF4)))),true),true),
inference(superposition,[],[f60,f1837]) ).
fof(f1837,plain,
true = theorem(or(not(or(not(sF4),sF2)),or(sF5,not(or(not(sF2),sF4))))),
inference(forward_demodulation,[],[f1763,f1]) ).
fof(f1763,plain,
true = ifeq(true,true,theorem(or(not(or(not(sF4),sF2)),or(sF5,not(or(not(sF2),sF4))))),true),
inference(superposition,[],[f172,f154]) ).
fof(f154,plain,
true = theorem(or(sF5,or(not(or(not(sF4),sF2)),not(or(not(sF2),sF4))))),
inference(superposition,[],[f49,f69]) ).
fof(f69,plain,
sF5 = not(or(not(or(not(sF2),sF4)),not(or(not(sF4),sF2)))),
inference(superposition,[],[f44,f18]) ).
fof(f44,plain,
! [X6,X5] : equivalent(X5,X6) = not(or(not(or(not(X5),X6)),not(or(not(X6),X5)))),
inference(forward_demodulation,[],[f43,f7]) ).
fof(f43,plain,
! [X6,X5] : equivalent(X5,X6) = not(or(not(implies(X5,X6)),not(or(not(X6),X5)))),
inference(forward_demodulation,[],[f42,f7]) ).
fof(f42,plain,
! [X6,X5] : equivalent(X5,X6) = not(or(not(implies(X5,X6)),not(implies(X6,X5)))),
inference(forward_demodulation,[],[f11,f10]) ).
fof(f11,axiom,
! [X6,X5] : equivalent(X5,X6) = and(implies(X5,X6),implies(X6,X5)),
file('/export/starexec/sandbox/tmp/tmp.a0leHsZkO5/Vampire---4.8_28418',equivalent_defn) ).
fof(f92,plain,
! [X0] : true = ifeq(theorem(or(not(X0),sF5)),true,ifeq(theorem(X0),true,sF6,true),true),
inference(superposition,[],[f60,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : LCL289-10 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n017.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 25 05:41:54 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.a0leHsZkO5/Vampire---4.8_28418
% 0.16/0.38 % (28563)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (28567)dis+10_40_av=off:bd=preordered:drc=off:nwc=1.3:sp=scramble:tgt=ground_1117 on Vampire---4 for (1117ds/0Mi)
% 0.24/0.44 % (28571)lrs+10_10_av=off:bd=off:fde=unused:nwc=4.0:sims=off:sp=occurrence:to=lpo:stl=125_468 on Vampire---4 for (468ds/0Mi)
% 0.24/0.44 % (28574)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_392 on Vampire---4 for (392ds/0Mi)
% 0.24/0.44 % (28566)dis+10_2_av=off:bd=preordered:drc=off:nwc=1.2:sims=off:sp=reverse_frequency:to=lpo:tgt=ground_1169 on Vampire---4 for (1169ds/0Mi)
% 0.24/0.44 % (28577)dis+10_50_av=off:sims=off:sp=weighted_frequency:tgt=full_325 on Vampire---4 for (325ds/0Mi)
% 0.24/0.44 % (28570)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.24/0.44 % (28572)dis+10_5:4_av=off:bd=off:drc=off:fde=unused:nwc=1.5:sims=off:to=lpo:tgt=ground_445 on Vampire---4 for (445ds/0Mi)
% 229.01/33.04 % (28577)Time limit reached!
% 229.01/33.04 % (28577)------------------------------
% 229.01/33.04 % (28577)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 229.01/33.04 % (28577)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 229.01/33.04 % (28577)Termination reason: Time limit
% 229.01/33.04 % (28577)Termination phase: Saturation
% 229.01/33.04
% 229.01/33.04 % (28577)Memory used [KB]: 1468249
% 229.01/33.04 % (28577)Time elapsed: 32.600 s
% 229.01/33.04 % (28577)------------------------------
% 229.01/33.04 % (28577)------------------------------
% 230.05/33.15 % (28627)lrs+10_8:1_av=off:bd=preordered:drc=off:nwc=10.0:to=lpo:stl=62_130 on Vampire---4 for (130ds/0Mi)
% 275.71/39.75 % (28574)Time limit reached!
% 275.71/39.75 % (28574)------------------------------
% 275.71/39.75 % (28574)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 275.71/39.75 % (28574)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 275.71/39.75 % (28574)Termination reason: Time limit
% 275.71/39.75 % (28574)Termination phase: Saturation
% 275.71/39.75
% 275.71/39.75 % (28574)Memory used [KB]: 1493834
% 275.71/39.75 % (28574)Time elapsed: 39.300 s
% 275.71/39.75 % (28574)------------------------------
% 275.71/39.75 % (28574)------------------------------
% 276.23/39.86 % (28628)lrs+10_4:5_av=off:bd=preordered:drc=off:fde=unused:nwc=10.0:sims=off:sp=reverse_arity:tgt=ground:stl=62_65 on Vampire---4 for (65ds/0Mi)
% 278.24/40.16 % (28572)First to succeed.
% 278.71/40.25 % (28572)Refutation found. Thanks to Tanya!
% 278.71/40.25 % SZS status Unsatisfiable for Vampire---4
% 278.71/40.25 % SZS output start Proof for Vampire---4
% See solution above
% 278.71/40.25 % (28572)------------------------------
% 278.71/40.25 % (28572)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 278.71/40.25 % (28572)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 278.71/40.25 % (28572)Termination reason: Refutation
% 278.71/40.25
% 278.71/40.25 % (28572)Memory used [KB]: 2257831
% 278.71/40.25 % (28572)Time elapsed: 39.709 s
% 278.71/40.25 % (28572)------------------------------
% 278.71/40.25 % (28572)------------------------------
% 278.71/40.25 % (28563)Success in time 39.855 s
% 278.71/40.25 % Vampire---4.8 exiting
%------------------------------------------------------------------------------