%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL289-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:51:53 AM UTC 2026
% Result : Unsatisfiable 11.13s 4.22s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 48
% Syntax : Number of formulae : 257 ( 147 unt; 36 def)
% Number of atoms : 555 ( 207 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 582 ( 284 ~; 278 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 19 con; 0-4 aty)
% Number of variables : 196 ( 0 sgn 196 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f4,plain,
! [X0,X1] : true = axiom(implies(X0,or(X1,X0))),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f6,plain,
! [X0,X1] : true = axiom(implies(or(X0,X1),or(X1,X0))),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f8,plain,
! [X2,X0,X1] : true = axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f10,plain,
! [X2,X0,X1] : true = axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f12,axiom,
! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f13,plain,
! [X0] : true = ifeq(axiom(X0),true,theorem(X0),true),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0,X1] : ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f15,plain,
! [X0,X1] : true = ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f17,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f18,negated_conjecture,
theorem(equivalent(not(and(p,not(q))),or(not(p),q))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f19,plain,
true != theorem(equivalent(not(and(p,not(q))),or(not(p),q))),
inference(reorient_equations,[],[f18]) ).
fof(f20,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f17,f16,f11,f11]) ).
fof(f21,plain,
! [X0] : true = axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f2,f11]) ).
fof(f22,plain,
! [X0,X1] : true = axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f4,f11]) ).
fof(f23,plain,
! [X0,X1] : true = axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f6,f11]) ).
fof(f24,plain,
! [X2,X0,X1] : true = axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f8,f11]) ).
fof(f25,plain,
! [X2,X0,X1] : true = axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f10,f11,f11,f11]) ).
fof(f26,plain,
! [X0,X1] : true = ifeq(theorem(or(not(X0),X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true),
inference(definition_unfolding,[],[f15,f11]) ).
fof(f27,plain,
true != theorem(not(or(not(or(not(not(not(or(not(p),not(not(q)))))),or(not(p),q))),not(or(not(or(not(p),q)),not(not(or(not(p),not(not(q)))))))))),
inference(definition_unfolding,[],[f19,f20,f16]) ).
fof(f28,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f29,plain,
not(p) = sF0,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF1 = not(q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f31,plain,
not(q) = sF1,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f33,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF3 = or(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f35,plain,
or(sF0,sF2) = sF3,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF4 = not(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f37,plain,
not(sF3) = sF4,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF5 = not(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f39,plain,
not(sF4) = sF5,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF6 = not(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f41,plain,
not(sF5) = sF6,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF7 = or(sF0,q),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f43,plain,
or(sF0,q) = sF7,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF8 = or(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f45,plain,
or(sF6,sF7) = sF8,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF9 = not(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f47,plain,
not(sF8) = sF9,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF10 = not(sF7),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f49,plain,
not(sF7) = sF10,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF11 = or(sF10,sF5),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f51,plain,
or(sF10,sF5) = sF11,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF12 = not(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f53,plain,
not(sF11) = sF12,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF13 = or(sF9,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f55,plain,
or(sF9,sF12) = sF13,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF14 = not(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f57,plain,
not(sF13) = sF14,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF15 = theorem(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f59,plain,
theorem(sF14) = sF15,
inference(reorient_equations,[],[f58]) ).
fof(f60,plain,
true != sF15,
inference(definition_folding,[],[f27,f59,f57,f55,f53,f51,f39,f37,f35,f33,f31,f29,f49,f43,f29,f47,f45,f43,f29,f41,f39,f37,f35,f33,f31,f29]) ).
fof(f62,definition,
( spl16_1
<=> theorem(sF14) = sF15 ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f64,plain,
( theorem(sF14) = sF15
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
spl16_1,
inference(avatar_split_clause,[],[f59,f62]) ).
fof(f69,definition,
( spl16_2
<=> true = sF15 ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f71,plain,
( true != sF15
| spl16_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,plain,
~ spl16_2,
inference(avatar_split_clause,[],[f60,f69]) ).
fof(f74,definition,
( spl16_3
<=> not(q) = sF1 ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f76,plain,
( not(q) = sF1
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
spl16_3,
inference(avatar_split_clause,[],[f31,f74]) ).
fof(f88,definition,
( spl16_5
<=> not(sF5) = sF6 ),
introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).
fof(f90,plain,
( not(sF5) = sF6
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
spl16_5,
inference(avatar_split_clause,[],[f41,f88]) ).
fof(f93,definition,
( spl16_6
<=> not(sF7) = sF10 ),
introduced(definition,[new_symbols(definition,[spl16_6])],[avatar_definition]) ).
fof(f95,plain,
( not(sF7) = sF10
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
spl16_6,
inference(avatar_split_clause,[],[f49,f93]) ).
fof(f98,definition,
( spl16_7
<=> not(sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl16_7])],[avatar_definition]) ).
fof(f100,plain,
( not(sF1) = sF2
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
spl16_7,
inference(avatar_split_clause,[],[f33,f98]) ).
fof(f105,definition,
( spl16_8
<=> not(sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).
fof(f107,plain,
( not(sF4) = sF5
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
spl16_8,
inference(avatar_split_clause,[],[f39,f105]) ).
fof(f116,definition,
( spl16_9
<=> not(sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl16_9])],[avatar_definition]) ).
fof(f118,plain,
( not(sF3) = sF4
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,plain,
spl16_9,
inference(avatar_split_clause,[],[f37,f116]) ).
fof(f121,definition,
( spl16_10
<=> not(sF13) = sF14 ),
introduced(definition,[new_symbols(definition,[spl16_10])],[avatar_definition]) ).
fof(f123,plain,
( not(sF13) = sF14
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
spl16_10,
inference(avatar_split_clause,[],[f57,f121]) ).
fof(f126,definition,
( spl16_11
<=> not(sF8) = sF9 ),
introduced(definition,[new_symbols(definition,[spl16_11])],[avatar_definition]) ).
fof(f128,plain,
( not(sF8) = sF9
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
spl16_11,
inference(avatar_split_clause,[],[f47,f126]) ).
fof(f131,definition,
( spl16_12
<=> not(sF11) = sF12 ),
introduced(definition,[new_symbols(definition,[spl16_12])],[avatar_definition]) ).
fof(f133,plain,
( not(sF11) = sF12
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
spl16_12,
inference(avatar_split_clause,[],[f53,f131]) ).
fof(f141,plain,
( ! [X0] : true = ifeq(theorem(or(sF12,X0)),true,ifeq(theorem(sF11),true,theorem(X0),true),true)
| ~ spl16_12 ),
inference(superposition,[],[f26,f133]) ).
fof(f143,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true),
inference(superposition,[],[f13,f23]) ).
fof(f144,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X1,X0))),true),
inference(superposition,[],[f13,f22]) ).
fof(f145,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),true),
inference(superposition,[],[f13,f24]) ).
fof(f146,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,X0)),X0)),true),
inference(superposition,[],[f13,f21]) ).
fof(f148,plain,
! [X0] : true = theorem(or(not(or(X0,X0)),X0)),
inference(forward_demodulation,[],[f146,f1]) ).
fof(f149,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f150,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X1,X0))),
inference(forward_demodulation,[],[f144,f1]) ).
fof(f151,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(forward_demodulation,[],[f143,f1]) ).
fof(f152,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true),
inference(superposition,[],[f26,f151]) ).
fof(f158,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),
inference(forward_demodulation,[],[f152,f1]) ).
fof(f159,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,[],[f26,f149]) ).
fof(f165,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),
inference(forward_demodulation,[],[f159,f1]) ).
fof(f197,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,X0)),true,theorem(X0),true),true),
inference(superposition,[],[f26,f148]) ).
fof(f206,plain,
! [X0] : true = ifeq(theorem(or(X0,X0)),true,theorem(X0),true),
inference(forward_demodulation,[],[f197,f1]) ).
fof(f209,definition,
( spl16_13
<=> or(sF6,sF7) = sF8 ),
introduced(definition,[new_symbols(definition,[spl16_13])],[avatar_definition]) ).
fof(f211,plain,
( or(sF6,sF7) = sF8
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,plain,
spl16_13,
inference(avatar_split_clause,[],[f45,f209]) ).
fof(f224,plain,
( ! [X0] : true = ifeq(theorem(or(sF6,or(X0,sF7))),true,theorem(or(X0,sF8)),true)
| ~ spl16_13 ),
inference(superposition,[],[f165,f211]) ).
fof(f230,definition,
( spl16_14
<=> or(sF0,q) = sF7 ),
introduced(definition,[new_symbols(definition,[spl16_14])],[avatar_definition]) ).
fof(f232,plain,
( or(sF0,q) = sF7
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,plain,
spl16_14,
inference(avatar_split_clause,[],[f43,f230]) ).
fof(f251,definition,
( spl16_15
<=> or(sF10,sF5) = sF11 ),
introduced(definition,[new_symbols(definition,[spl16_15])],[avatar_definition]) ).
fof(f253,plain,
( or(sF10,sF5) = sF11
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f254,plain,
spl16_15,
inference(avatar_split_clause,[],[f51,f251]) ).
fof(f272,definition,
( spl16_16
<=> or(sF0,sF2) = sF3 ),
introduced(definition,[new_symbols(definition,[spl16_16])],[avatar_definition]) ).
fof(f274,plain,
( or(sF0,sF2) = sF3
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
spl16_16,
inference(avatar_split_clause,[],[f35,f272]) ).
fof(f291,definition,
( spl16_17
<=> or(sF9,sF12) = sF13 ),
introduced(definition,[new_symbols(definition,[spl16_17])],[avatar_definition]) ).
fof(f293,plain,
( or(sF9,sF12) = sF13
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f294,plain,
spl16_17,
inference(avatar_split_clause,[],[f55,f291]) ).
fof(f329,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),true),
inference(superposition,[],[f13,f25]) ).
fof(f330,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(forward_demodulation,[],[f329,f1]) ).
fof(f387,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(not(X0),X1)),true,theorem(or(not(or(X2,X0)),or(X2,X1))),true),true),
inference(superposition,[],[f26,f330]) ).
fof(f389,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(not(or(not(X0),X1)),or(X2,X1)))),true),
inference(superposition,[],[f165,f330]) ).
fof(f398,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(not(or(not(X0),X1)),or(X2,X1)))),
inference(forward_demodulation,[],[f389,f1]) ).
fof(f399,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(X0),X1)),true,theorem(or(not(or(X2,X0)),or(X2,X1))),true),
inference(forward_demodulation,[],[f387,f1]) ).
fof(f420,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f399,f151]) ).
fof(f422,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f399,f150]) ).
fof(f424,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),true),
inference(superposition,[],[f399,f148]) ).
fof(f426,plain,
( ! [X0] : true = ifeq(theorem(or(not(sF2),X0)),true,theorem(or(not(sF3),or(sF0,X0))),true)
| ~ spl16_16 ),
inference(superposition,[],[f399,f274]) ).
fof(f428,plain,
( ! [X0] : true = ifeq(theorem(or(not(sF12),X0)),true,theorem(or(not(sF13),or(sF9,X0))),true)
| ~ spl16_17 ),
inference(superposition,[],[f399,f293]) ).
fof(f442,plain,
( ! [X0] : true = ifeq(theorem(or(not(sF12),X0)),true,theorem(or(sF14,or(sF9,X0))),true)
| ~ spl16_10
| ~ spl16_17 ),
inference(forward_demodulation,[],[f428,f123]) ).
fof(f444,plain,
( ! [X0] : true = ifeq(theorem(or(not(sF2),X0)),true,theorem(or(sF4,or(sF0,X0))),true)
| ~ spl16_9
| ~ spl16_16 ),
inference(forward_demodulation,[],[f426,f118]) ).
fof(f446,plain,
! [X0,X1] : true = theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),
inference(forward_demodulation,[],[f424,f1]) ).
fof(f448,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f422,f1]) ).
fof(f450,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f420,f1]) ).
fof(f461,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),true),
inference(superposition,[],[f26,f446]) ).
fof(f472,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),
inference(forward_demodulation,[],[f461,f1]) ).
fof(f489,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X2,X1))),true),true),
inference(superposition,[],[f26,f448]) ).
fof(f500,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f489,f1]) ).
fof(f532,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(not(or(not(X1),X2)),or(X0,X2))),true),true),
inference(superposition,[],[f26,f398]) ).
fof(f544,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(not(or(not(X1),X2)),or(X0,X2))),true),
inference(forward_demodulation,[],[f532,f1]) ).
fof(f567,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X0,or(X2,X1))),true),true),
inference(superposition,[],[f26,f450]) ).
fof(f578,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f567,f1]) ).
fof(f590,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X0,X1))),true),
inference(superposition,[],[f578,f150]) ).
fof(f619,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X0,X1))),
inference(forward_demodulation,[],[f590,f1]) ).
fof(f632,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(X0),X0)),true),
inference(superposition,[],[f472,f150]) ).
fof(f657,plain,
! [X0] : true = theorem(or(not(X0),X0)),
inference(forward_demodulation,[],[f632,f1]) ).
fof(f681,plain,
! [X0] : true = ifeq(true,true,theorem(or(X0,not(X0))),true),
inference(superposition,[],[f158,f657]) ).
fof(f687,plain,
! [X0] : true = theorem(or(X0,not(X0))),
inference(forward_demodulation,[],[f681,f1]) ).
fof(f709,plain,
( true = theorem(or(q,sF1))
| ~ spl16_3 ),
inference(superposition,[],[f687,f76]) ).
fof(f712,plain,
( true = theorem(or(sF4,sF5))
| ~ spl16_8 ),
inference(superposition,[],[f687,f107]) ).
fof(f718,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),true),
inference(superposition,[],[f399,f687]) ).
fof(f730,plain,
! [X0,X1] : true = theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),
inference(forward_demodulation,[],[f718,f1]) ).
fof(f733,plain,
( ! [X0] : true = ifeq(theorem(sF8),true,theorem(or(sF6,or(X0,sF7))),true)
| ~ spl16_13 ),
inference(superposition,[],[f500,f211]) ).
fof(f774,plain,
( true = theorem(or(not(sF7),or(sF0,not(not(q)))))
| ~ spl16_14 ),
inference(superposition,[],[f730,f232]) ).
fof(f794,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))),true),
inference(superposition,[],[f578,f730]) ).
fof(f811,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))),
inference(forward_demodulation,[],[f794,f1]) ).
fof(f821,plain,
( true = theorem(or(not(sF7),or(sF0,not(sF1))))
| ~ spl16_3
| ~ spl16_14 ),
inference(forward_demodulation,[],[f774,f76]) ).
fof(f824,plain,
( true = theorem(or(not(sF7),or(sF0,sF2)))
| ~ spl16_3
| ~ spl16_7
| ~ spl16_14 ),
inference(forward_demodulation,[],[f821,f100]) ).
fof(f825,plain,
( true = theorem(or(not(sF7),sF3))
| ~ spl16_3
| ~ spl16_7
| ~ spl16_14
| ~ spl16_16 ),
inference(forward_demodulation,[],[f824,f274]) ).
fof(f826,plain,
( true = theorem(or(sF10,sF3))
| ~ spl16_3
| ~ spl16_6
| ~ spl16_7
| ~ spl16_14
| ~ spl16_16 ),
inference(forward_demodulation,[],[f825,f95]) ).
fof(f890,definition,
( spl16_18
<=> true = theorem(or(sF10,sF3)) ),
introduced(definition,[new_symbols(definition,[spl16_18])],[avatar_definition]) ).
fof(f892,plain,
( true = theorem(or(sF10,sF3))
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f893,plain,
( spl16_18
| ~ spl16_3
| ~ spl16_6
| ~ spl16_7
| ~ spl16_14
| ~ spl16_16 ),
inference(avatar_split_clause,[],[f826,f272,f230,f98,f93,f74,f890]) ).
fof(f894,plain,
( ! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF3),X0)),or(sF10,X0))),true)
| ~ spl16_18 ),
inference(superposition,[],[f544,f892]) ).
fof(f906,plain,
( ! [X0] : true = theorem(or(not(or(not(sF3),X0)),or(sF10,X0)))
| ~ spl16_18 ),
inference(forward_demodulation,[],[f894,f1]) ).
fof(f907,plain,
( ! [X0] : true = theorem(or(not(or(sF4,X0)),or(sF10,X0)))
| ~ spl16_9
| ~ spl16_18 ),
inference(forward_demodulation,[],[f906,f118]) ).
fof(f910,plain,
( ! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF4,X0)),true,theorem(or(sF10,X0)),true),true)
| ~ spl16_9
| ~ spl16_18 ),
inference(superposition,[],[f26,f907]) ).
fof(f933,plain,
( ! [X0] : true = ifeq(theorem(or(sF4,X0)),true,theorem(or(sF10,X0)),true)
| ~ spl16_9
| ~ spl16_18 ),
inference(forward_demodulation,[],[f910,f1]) ).
fof(f971,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(X0,or(not(X0),X1))),true),
inference(superposition,[],[f165,f619]) ).
fof(f987,plain,
! [X0,X1] : true = theorem(or(X0,or(not(X0),X1))),
inference(forward_demodulation,[],[f971,f1]) ).
fof(f1260,plain,
( true = ifeq(theorem(or(sF14,sF14)),true,sF15,true)
| ~ spl16_1 ),
inference(superposition,[],[f206,f64]) ).
fof(f1298,plain,
( true = ifeq(theorem(or(sF4,sF5)),true,theorem(sF11),true)
| ~ spl16_9
| ~ spl16_15
| ~ spl16_18 ),
inference(superposition,[],[f933,f253]) ).
fof(f1304,plain,
( true = ifeq(true,true,theorem(sF11),true)
| ~ spl16_8
| ~ spl16_9
| ~ spl16_15
| ~ spl16_18 ),
inference(forward_demodulation,[],[f1298,f712]) ).
fof(f1308,plain,
( true = theorem(sF11)
| ~ spl16_8
| ~ spl16_9
| ~ spl16_15
| ~ spl16_18 ),
inference(forward_demodulation,[],[f1304,f1]) ).
fof(f1311,plain,
( ! [X0] : true = ifeq(theorem(or(sF12,X0)),true,ifeq(true,true,theorem(X0),true),true)
| ~ spl16_8
| ~ spl16_9
| ~ spl16_12
| ~ spl16_15
| ~ spl16_18 ),
inference(backward_demodulation,[],[f141,f1308]) ).
fof(f1323,plain,
( ! [X0] : true = ifeq(theorem(or(sF12,X0)),true,theorem(X0),true)
| ~ spl16_8
| ~ spl16_9
| ~ spl16_12
| ~ spl16_15
| ~ spl16_18 ),
inference(forward_demodulation,[],[f1311,f1]) ).
fof(f1418,plain,
( ! [X0] : true = ifeq(true,true,theorem(or(not(sF12),X0)),true)
| ~ spl16_8
| ~ spl16_9
| ~ spl16_12
| ~ spl16_15
| ~ spl16_18 ),
inference(superposition,[],[f1323,f987]) ).
fof(f1444,plain,
( ! [X0] : true = theorem(or(not(sF12),X0))
| ~ spl16_8
| ~ spl16_9
| ~ spl16_12
| ~ spl16_15
| ~ spl16_18 ),
inference(forward_demodulation,[],[f1418,f1]) ).
fof(f1447,plain,
( ! [X0] : true = ifeq(true,true,theorem(or(sF14,or(sF9,X0))),true)
| ~ spl16_8
| ~ spl16_9
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_17
| ~ spl16_18 ),
inference(backward_demodulation,[],[f442,f1444]) ).
fof(f1448,plain,
( ! [X0] : true = theorem(or(sF14,or(sF9,X0)))
| ~ spl16_8
| ~ spl16_9
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_17
| ~ spl16_18 ),
inference(forward_demodulation,[],[f1447,f1]) ).
fof(f1456,plain,
( true = ifeq(true,true,theorem(or(sF14,sF9)),true)
| ~ spl16_8
| ~ spl16_9
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_17
| ~ spl16_18 ),
inference(superposition,[],[f472,f1448]) ).
fof(f1474,plain,
( true = theorem(or(sF14,sF9))
| ~ spl16_8
| ~ spl16_9
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_17
| ~ spl16_18 ),
inference(forward_demodulation,[],[f1456,f1]) ).
fof(f1595,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X1)),X0)),true),true),
inference(superposition,[],[f26,f811]) ).
fof(f1624,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X1)),X0)),true),
inference(forward_demodulation,[],[f1595,f1]) ).
fof(f2079,plain,
( ! [X0] : true = ifeq(theorem(or(X0,sF4)),true,theorem(or(not(sF5),X0)),true)
| ~ spl16_8 ),
inference(superposition,[],[f1624,f107]) ).
fof(f2082,plain,
( ! [X0] : true = ifeq(theorem(or(X0,sF8)),true,theorem(or(not(sF9),X0)),true)
| ~ spl16_11 ),
inference(superposition,[],[f1624,f128]) ).
fof(f2094,plain,
( ! [X0] : true = ifeq(theorem(or(X0,sF4)),true,theorem(or(sF6,X0)),true)
| ~ spl16_5
| ~ spl16_8 ),
inference(forward_demodulation,[],[f2079,f90]) ).
fof(f2224,plain,
( true = ifeq(theorem(or(sF7,sF4)),true,theorem(sF8),true)
| ~ spl16_5
| ~ spl16_8
| ~ spl16_13 ),
inference(superposition,[],[f2094,f211]) ).
fof(f2349,plain,
( true = ifeq(theorem(or(not(sF2),q)),true,theorem(or(sF4,sF7)),true)
| ~ spl16_9
| ~ spl16_14
| ~ spl16_16 ),
inference(superposition,[],[f444,f232]) ).
fof(f2505,definition,
( spl16_27
<=> true = theorem(or(q,sF1)) ),
introduced(definition,[new_symbols(definition,[spl16_27])],[avatar_definition]) ).
fof(f2507,plain,
( true = theorem(or(q,sF1))
| ~ spl16_27 ),
inference(avatar_component_clause,[],[f2505]) ).
fof(f2508,plain,
( spl16_27
| ~ spl16_3 ),
inference(avatar_split_clause,[],[f709,f74,f2505]) ).
fof(f2517,plain,
( true = ifeq(true,true,theorem(or(not(not(sF1)),q)),true)
| ~ spl16_27 ),
inference(superposition,[],[f1624,f2507]) ).
fof(f2528,plain,
( true = theorem(or(not(not(sF1)),q))
| ~ spl16_27 ),
inference(forward_demodulation,[],[f2517,f1]) ).
fof(f2534,plain,
( true = theorem(or(not(sF2),q))
| ~ spl16_7
| ~ spl16_27 ),
inference(forward_demodulation,[],[f2528,f100]) ).
fof(f2537,plain,
( true = ifeq(true,true,theorem(or(sF4,sF7)),true)
| ~ spl16_7
| ~ spl16_9
| ~ spl16_14
| ~ spl16_16
| ~ spl16_27 ),
inference(backward_demodulation,[],[f2349,f2534]) ).
fof(f2538,plain,
( true = theorem(or(sF4,sF7))
| ~ spl16_7
| ~ spl16_9
| ~ spl16_14
| ~ spl16_16
| ~ spl16_27 ),
inference(forward_demodulation,[],[f2537,f1]) ).
fof(f2540,definition,
( spl16_28
<=> true = theorem(or(sF4,sF7)) ),
introduced(definition,[new_symbols(definition,[spl16_28])],[avatar_definition]) ).
fof(f2542,plain,
( true = theorem(or(sF4,sF7))
| ~ spl16_28 ),
inference(avatar_component_clause,[],[f2540]) ).
fof(f2543,plain,
( spl16_28
| ~ spl16_7
| ~ spl16_9
| ~ spl16_14
| ~ spl16_16
| ~ spl16_27 ),
inference(avatar_split_clause,[],[f2538,f2505,f272,f230,f116,f98,f2540]) ).
fof(f2547,plain,
( true = ifeq(true,true,theorem(or(sF7,sF4)),true)
| ~ spl16_28 ),
inference(superposition,[],[f158,f2542]) ).
fof(f2571,plain,
( true = theorem(or(sF7,sF4))
| ~ spl16_28 ),
inference(forward_demodulation,[],[f2547,f1]) ).
fof(f2577,plain,
( true = ifeq(true,true,theorem(sF8),true)
| ~ spl16_5
| ~ spl16_8
| ~ spl16_13
| ~ spl16_28 ),
inference(backward_demodulation,[],[f2224,f2571]) ).
fof(f2578,plain,
( true = theorem(sF8)
| ~ spl16_5
| ~ spl16_8
| ~ spl16_13
| ~ spl16_28 ),
inference(forward_demodulation,[],[f2577,f1]) ).
fof(f2583,plain,
( ! [X0] : true = ifeq(true,true,theorem(or(sF6,or(X0,sF7))),true)
| ~ spl16_5
| ~ spl16_8
| ~ spl16_13
| ~ spl16_28 ),
inference(backward_demodulation,[],[f733,f2578]) ).
fof(f2597,plain,
( ! [X0] : true = theorem(or(sF6,or(X0,sF7)))
| ~ spl16_5
| ~ spl16_8
| ~ spl16_13
| ~ spl16_28 ),
inference(forward_demodulation,[],[f2583,f1]) ).
fof(f2601,plain,
( ! [X0] : true = ifeq(true,true,theorem(or(X0,sF8)),true)
| ~ spl16_5
| ~ spl16_8
| ~ spl16_13
| ~ spl16_28 ),
inference(backward_demodulation,[],[f224,f2597]) ).
fof(f2602,plain,
( ! [X0] : true = theorem(or(X0,sF8))
| ~ spl16_5
| ~ spl16_8
| ~ spl16_13
| ~ spl16_28 ),
inference(forward_demodulation,[],[f2601,f1]) ).
fof(f2609,plain,
( ! [X0] : true = ifeq(true,true,theorem(or(not(sF9),X0)),true)
| ~ spl16_5
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| ~ spl16_28 ),
inference(backward_demodulation,[],[f2082,f2602]) ).
fof(f2613,plain,
( ! [X0] : true = theorem(or(not(sF9),X0))
| ~ spl16_5
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| ~ spl16_28 ),
inference(forward_demodulation,[],[f2609,f1]) ).
fof(f2723,plain,
( ! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,sF9)),or(X1,X0))),true)
| ~ spl16_5
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| ~ spl16_28 ),
inference(superposition,[],[f399,f2613]) ).
fof(f2788,plain,
( ! [X0,X1] : true = theorem(or(not(or(X1,sF9)),or(X1,X0)))
| ~ spl16_5
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| ~ spl16_28 ),
inference(forward_demodulation,[],[f2723,f1]) ).
fof(f2850,plain,
( ! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,sF9)),true,theorem(or(X0,X1)),true),true)
| ~ spl16_5
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| ~ spl16_28 ),
inference(superposition,[],[f26,f2788]) ).
fof(f2887,plain,
( ! [X0,X1] : true = ifeq(theorem(or(X0,sF9)),true,theorem(or(X0,X1)),true)
| ~ spl16_5
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| ~ spl16_28 ),
inference(forward_demodulation,[],[f2850,f1]) ).
fof(f5291,definition,
( spl16_44
<=> true = theorem(or(sF14,sF9)) ),
introduced(definition,[new_symbols(definition,[spl16_44])],[avatar_definition]) ).
fof(f5293,plain,
( true = theorem(or(sF14,sF9))
| ~ spl16_44 ),
inference(avatar_component_clause,[],[f5291]) ).
fof(f5294,plain,
( spl16_44
| ~ spl16_8
| ~ spl16_9
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_17
| ~ spl16_18 ),
inference(avatar_split_clause,[],[f1474,f890,f291,f251,f131,f121,f116,f105,f5291]) ).
fof(f5296,plain,
( ! [X0] : true = ifeq(true,true,theorem(or(sF14,X0)),true)
| ~ spl16_5
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| ~ spl16_28
| ~ spl16_44 ),
inference(superposition,[],[f2887,f5293]) ).
fof(f5326,plain,
( ! [X0] : true = theorem(or(sF14,X0))
| ~ spl16_5
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| ~ spl16_28
| ~ spl16_44 ),
inference(forward_demodulation,[],[f5296,f1]) ).
fof(f5335,plain,
( true = ifeq(true,true,sF15,true)
| ~ spl16_1
| ~ spl16_5
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| ~ spl16_28
| ~ spl16_44 ),
inference(backward_demodulation,[],[f1260,f5326]) ).
fof(f5338,plain,
( true = sF15
| ~ spl16_1
| ~ spl16_5
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| ~ spl16_28
| ~ spl16_44 ),
inference(forward_demodulation,[],[f5335,f1]) ).
fof(f5348,plain,
( $false
| ~ spl16_1
| spl16_2
| ~ spl16_5
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| ~ spl16_28
| ~ spl16_44 ),
inference(forward_subsumption_resolution,[],[f5338,f71]) ).
fof(f5349,plain,
( ~ spl16_1
| spl16_2
| ~ spl16_5
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| ~ spl16_28
| ~ spl16_44 ),
inference(avatar_contradiction_clause,[],[f5348]) ).
cnf(s1,plain,
spl16_1,
inference(sat_conversion,[],[f65]) ).
cnf(s2,plain,
~ spl16_2,
inference(sat_conversion,[],[f72]) ).
cnf(s3,plain,
spl16_3,
inference(sat_conversion,[],[f77]) ).
cnf(s5,plain,
spl16_5,
inference(sat_conversion,[],[f91]) ).
cnf(s6,plain,
spl16_6,
inference(sat_conversion,[],[f96]) ).
cnf(s7,plain,
spl16_7,
inference(sat_conversion,[],[f101]) ).
cnf(s8,plain,
spl16_8,
inference(sat_conversion,[],[f108]) ).
cnf(s9,plain,
spl16_9,
inference(sat_conversion,[],[f119]) ).
cnf(s10,plain,
spl16_10,
inference(sat_conversion,[],[f124]) ).
cnf(s11,plain,
spl16_11,
inference(sat_conversion,[],[f129]) ).
cnf(s12,plain,
spl16_12,
inference(sat_conversion,[],[f134]) ).
cnf(s13,plain,
spl16_13,
inference(sat_conversion,[],[f212]) ).
cnf(s14,plain,
spl16_14,
inference(sat_conversion,[],[f233]) ).
cnf(s15,plain,
spl16_15,
inference(sat_conversion,[],[f254]) ).
cnf(s16,plain,
spl16_16,
inference(sat_conversion,[],[f275]) ).
cnf(s17,plain,
spl16_17,
inference(sat_conversion,[],[f294]) ).
cnf(s18,plain,
( ~ spl16_3
| ~ spl16_6
| ~ spl16_7
| ~ spl16_14
| ~ spl16_16
| spl16_18 ),
inference(sat_conversion,[],[f893]) ).
cnf(s27,plain,
( ~ spl16_3
| spl16_27 ),
inference(sat_conversion,[],[f2508]) ).
cnf(s28,plain,
( ~ spl16_7
| ~ spl16_9
| ~ spl16_14
| ~ spl16_16
| ~ spl16_27
| spl16_28 ),
inference(sat_conversion,[],[f2543]) ).
cnf(s44,plain,
( ~ spl16_8
| ~ spl16_9
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_17
| ~ spl16_18
| spl16_44 ),
inference(sat_conversion,[],[f5294]) ).
cnf(s47,plain,
( ~ spl16_1
| spl16_2
| ~ spl16_5
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| ~ spl16_28
| ~ spl16_44 ),
inference(sat_conversion,[],[f5349]) ).
cnf(s56,plain,
spl16_27,
inference(rat,[],[s27,s3]) ).
cnf(s58,plain,
spl16_18,
inference(rat,[],[s18,s6,s16,s14,s7,s3]) ).
cnf(s59,plain,
spl16_28,
inference(rat,[],[s28,s7,s9,s16,s14,s56]) ).
cnf(s64,plain,
spl16_44,
inference(rat,[],[s44,s8,s9,s17,s15,s12,s10,s58]) ).
cnf(s75,plain,
~ spl16_1,
inference(rat,[],[s47,s64,s59,s13,s11,s8,s5,s2]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s1,s75]) ).
fof(f5350,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL289-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n005.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 27 15:32:32 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.13/4.21 % (4145825)Detected a unit-equality problem, will run specialized UEQ schedule.
% 11.13/4.21 % (4145834)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2970913370:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 11.13/4.21 % (4145830)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=327368581:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 11.13/4.21 % (4145831)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=674267213:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 11.13/4.21 % (4145833)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=785547548:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 11.13/4.21 % (4145832)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3743710487:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 11.13/4.21 % (4145834)Instruction limit reached!
% 11.13/4.21 % (4145834)------------------------------
% 11.13/4.21 % (4145834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/4.21 % (4145834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/4.21 % (4145834)CaDiCaL version: 2.1.3
% 11.13/4.21 % (4145834)Termination reason: Instruction limit
% 11.13/4.21 % (4145834)Termination phase: Saturation
% 11.13/4.21 % (4145834)Time elapsed: 0.088 s
% 11.13/4.21 % (4145834)Peak memory usage: 89 MB
% 11.13/4.21 % (4145834)Instructions burned: 181 (million)
% 11.13/4.21 % (4145835)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4006147680:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 11.13/4.21 % (4145836)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2439050187:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 11.13/4.21 % (4145833)Instruction limit reached!
% 11.13/4.21 % (4145833)------------------------------
% 11.13/4.21 % (4145833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/4.21 % (4145833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/4.21 % (4145833)CaDiCaL version: 2.1.3
% 11.13/4.21 % (4145833)Termination reason: Instruction limit
% 11.13/4.21 % (4145833)Termination phase: Saturation
% 11.13/4.21 % (4145833)Time elapsed: 0.132 s
% 11.13/4.21 % (4145833)Peak memory usage: 89 MB
% 11.13/4.21 % (4145833)Instructions burned: 137 (million)
% 11.13/4.21 % (4145844)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3643830168:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 11.13/4.21 % (4145835)Instruction limit reached!
% 11.13/4.21 % (4145835)------------------------------
% 11.13/4.21 % (4145835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/4.21 % (4145835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/4.21 % (4145835)CaDiCaL version: 2.1.3
% 11.13/4.21 % (4145835)Termination reason: Instruction limit
% 11.13/4.21 % (4145835)Termination phase: Saturation
% 11.13/4.21 % (4145835)Time elapsed: 0.263 s
% 11.13/4.21 % (4145835)Peak memory usage: 91 MB
% 11.13/4.21 % (4145835)Instructions burned: 258 (million)
% 11.13/4.21 % (4145845)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=70412341:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 11.13/4.21 % (4145847)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2070879898:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 11.13/4.21 % (4145847)Instruction limit reached!
% 11.13/4.21 % (4145847)------------------------------
% 11.13/4.21 % (4145847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/4.21 % (4145847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/4.21 % (4145847)CaDiCaL version: 2.1.3
% 11.13/4.21 % (4145847)Termination reason: Instruction limit
% 11.13/4.21 % (4145847)Termination phase: Saturation
% 11.13/4.21 % (4145847)Time elapsed: 0.177 s
% 11.13/4.21 % (4145847)Peak memory usage: 88 MB
% 11.13/4.21 % (4145847)Instructions burned: 216 (million)
% 11.13/4.21 % (4145850)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1278072149:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 11.13/4.21 % (4145836)Instruction limit reached!
% 11.13/4.21 % (4145836)------------------------------
% 11.13/4.21 % (4145836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/4.21 % (4145836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/4.21 % (4145836)CaDiCaL version: 2.1.3
% 11.13/4.21 % (4145836)Termination reason: Instruction limit
% 11.13/4.21 % (4145836)Termination phase: Saturation
% 11.13/4.21 % (4145836)Time elapsed: 1.129 s
% 11.13/4.21 % (4145836)Peak memory usage: 101 MB
% 11.13/4.21 % (4145836)Instructions burned: 1188 (million)
% 11.13/4.21 % (4145850)Instruction limit reached!
% 11.13/4.21 % (4145850)------------------------------
% 11.13/4.21 % (4145850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/4.21 % (4145850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/4.21 % (4145850)CaDiCaL version: 2.1.3
% 11.13/4.21 % (4145850)Termination reason: Instruction limit
% 11.13/4.21 % (4145850)Termination phase: Saturation
% 11.13/4.21 % (4145850)Time elapsed: 0.175 s
% 11.13/4.21 % (4145850)Peak memory usage: 94 MB
% 11.13/4.21 % (4145850)Instructions burned: 318 (million)
% 11.13/4.21 % (4145853)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=881581424:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2985 on theBenchmark for (2985ds/2836Mi)
% 11.13/4.21 % (4145852)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2699039840:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 11.13/4.21 % (4145844)Instruction limit reached!
% 11.13/4.21 % (4145844)------------------------------
% 11.13/4.21 % (4145844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/4.21 % (4145844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/4.22 % (4145844)CaDiCaL version: 2.1.3
% 11.13/4.22 % (4145844)Termination reason: Instruction limit
% 11.13/4.22 % (4145844)Termination phase: Saturation
% 11.13/4.22 % (4145844)Time elapsed: 1.905 s
% 11.13/4.22 % (4145844)Peak memory usage: 143 MB
% 11.13/4.22 % (4145844)Instructions burned: 2051 (million)
% 11.13/4.22 % (4145830)First to succeed.
% 11.13/4.22 % (4145830)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4145825"
% 11.13/4.22 % (4145856)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2249011408:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2975 on theBenchmark for (2975ds/14534Mi)
% 11.13/4.22 % (4145830)Refutation found. Thanks to Tanya!
% 11.13/4.22 % SZS status Unsatisfiable for theBenchmark
% 11.13/4.22 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/4.61 % (4145830)------------------------------
% 0.28/4.61 % (4145830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/4.61 % (4145830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/4.61 % (4145830)CaDiCaL version: 2.1.3
% 0.28/4.61 % (4145830)Termination reason: Refutation
% 0.28/4.61 % (4145830)Time elapsed: 2.221 s
% 0.28/4.61 % (4145830)Peak memory usage: 140 MB
% 0.28/4.61 % (4145830)Instructions burned: 2082 (million)
% 0.28/4.61 % (4145830)------------------------------
% 0.28/4.61 % (4145830)------------------------------
% 0.28/4.61 % (4145825)Success in time 2.922 s
% 0.28/4.61 % Vampire exiting
%------------------------------------------------------------------------------