%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL331-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:52:00 AM UTC 2026
% Result : Unsatisfiable 26.95s 15.43s
% Output : Refutation 32.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 61
% Syntax : Number of formulae : 337 ( 182 unt; 49 def)
% Number of atoms : 712 ( 260 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 726 ( 351 ~; 345 |; 0 &)
% ( 30 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 32 ( 30 usr; 31 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 23 con; 0-4 aty)
% Number of variables : 232 ( 0 sgn 232 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))) = true,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f12,axiom,
! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f17,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f18,negated_conjecture,
theorem(equivalent(implies(and(p,q),r),implies(and(p,q),and(p,r)))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f19,plain,
true != theorem(equivalent(implies(and(p,q),r),implies(and(p,q),and(p,r)))),
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(or(not(not(or(not(p),not(q)))),r)),or(not(not(or(not(p),not(q)))),not(or(not(p),not(r)))))),not(or(not(or(not(not(or(not(p),not(q)))),not(or(not(p),not(r))))),or(not(not(or(not(p),not(q)))),r)))))),
inference(definition_unfolding,[],[f19,f20,f11,f16,f11,f16,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 = or(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f33,plain,
or(sF0,sF1) = sF2,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF3 = not(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f35,plain,
not(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 = or(sF4,r),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f39,plain,
or(sF4,r) = 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 = not(r),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f43,plain,
not(r) = sF7,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF8 = or(sF0,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f45,plain,
or(sF0,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 = or(sF4,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f49,plain,
or(sF4,sF9) = sF10,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF11 = or(sF6,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f51,plain,
or(sF6,sF10) = 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 = not(sF10),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f55,plain,
not(sF10) = sF13,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF14 = or(sF13,sF5),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f57,plain,
or(sF13,sF5) = sF14,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF15 = not(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f59,plain,
not(sF14) = sF15,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF16 = or(sF12,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f61,plain,
or(sF12,sF15) = sF16,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF17 = not(sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f63,plain,
not(sF16) = sF17,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF18 = theorem(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f65,plain,
theorem(sF17) = sF18,
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
true != sF18,
inference(definition_folding,[],[f27,f65,f63,f61,f59,f57,f39,f37,f35,f33,f31,f29,f55,f49,f47,f45,f43,f29,f37,f35,f33,f31,f29,f53,f51,f49,f47,f45,f43,f29,f37,f35,f33,f31,f29,f41,f39,f37,f35,f33,f31,f29]) ).
fof(f68,definition,
( spl19_1
<=> theorem(sF17) = sF18 ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f70,plain,
( theorem(sF17) = sF18
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
spl19_1,
inference(avatar_split_clause,[],[f65,f68]) ).
fof(f73,definition,
( spl19_2
<=> true = sF18 ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f75,plain,
( true != sF18
| spl19_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,plain,
~ spl19_2,
inference(avatar_split_clause,[],[f66,f73]) ).
fof(f78,plain,
( ! [X0] : true = ifeq(theorem(or(not(X0),sF17)),true,ifeq(theorem(X0),true,sF18,true),true)
| ~ spl19_1 ),
inference(superposition,[],[f26,f70]) ).
fof(f80,definition,
( spl19_3
<=> not(r) = sF7 ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f82,plain,
( not(r) = sF7
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,plain,
spl19_3,
inference(avatar_split_clause,[],[f43,f80]) ).
fof(f90,definition,
( spl19_5
<=> not(p) = sF0 ),
introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).
fof(f92,plain,
( not(p) = sF0
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
spl19_5,
inference(avatar_split_clause,[],[f29,f90]) ).
fof(f101,definition,
( spl19_6
<=> not(sF10) = sF13 ),
introduced(definition,[new_symbols(definition,[spl19_6])],[avatar_definition]) ).
fof(f103,plain,
( not(sF10) = sF13
| ~ spl19_6 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
spl19_6,
inference(avatar_split_clause,[],[f55,f101]) ).
fof(f106,definition,
( spl19_7
<=> not(sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl19_7])],[avatar_definition]) ).
fof(f108,plain,
( not(sF3) = sF4
| ~ spl19_7 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,plain,
spl19_7,
inference(avatar_split_clause,[],[f37,f106]) ).
fof(f113,definition,
( spl19_8
<=> not(sF5) = sF6 ),
introduced(definition,[new_symbols(definition,[spl19_8])],[avatar_definition]) ).
fof(f115,plain,
( not(sF5) = sF6
| ~ spl19_8 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
spl19_8,
inference(avatar_split_clause,[],[f41,f113]) ).
fof(f118,definition,
( spl19_9
<=> not(sF2) = sF3 ),
introduced(definition,[new_symbols(definition,[spl19_9])],[avatar_definition]) ).
fof(f120,plain,
( not(sF2) = sF3
| ~ spl19_9 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,plain,
spl19_9,
inference(avatar_split_clause,[],[f35,f118]) ).
fof(f127,definition,
( spl19_10
<=> not(sF16) = sF17 ),
introduced(definition,[new_symbols(definition,[spl19_10])],[avatar_definition]) ).
fof(f129,plain,
( not(sF16) = sF17
| ~ spl19_10 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
spl19_10,
inference(avatar_split_clause,[],[f63,f127]) ).
fof(f132,definition,
( spl19_11
<=> not(sF11) = sF12 ),
introduced(definition,[new_symbols(definition,[spl19_11])],[avatar_definition]) ).
fof(f134,plain,
( not(sF11) = sF12
| ~ spl19_11 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
spl19_11,
inference(avatar_split_clause,[],[f53,f132]) ).
fof(f137,definition,
( spl19_12
<=> not(sF14) = sF15 ),
introduced(definition,[new_symbols(definition,[spl19_12])],[avatar_definition]) ).
fof(f139,plain,
( not(sF14) = sF15
| ~ spl19_12 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f140,plain,
spl19_12,
inference(avatar_split_clause,[],[f59,f137]) ).
fof(f142,definition,
( spl19_13
<=> not(sF8) = sF9 ),
introduced(definition,[new_symbols(definition,[spl19_13])],[avatar_definition]) ).
fof(f144,plain,
( not(sF8) = sF9
| ~ spl19_13 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
spl19_13,
inference(avatar_split_clause,[],[f47,f142]) ).
fof(f156,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true),
inference(superposition,[],[f13,f23]) ).
fof(f157,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X1,X0))),true),
inference(superposition,[],[f13,f22]) ).
fof(f158,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(f159,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,X0)),X0)),true),
inference(superposition,[],[f13,f21]) ).
fof(f161,plain,
! [X0] : true = theorem(or(not(or(X0,X0)),X0)),
inference(forward_demodulation,[],[f159,f1]) ).
fof(f162,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(forward_demodulation,[],[f158,f1]) ).
fof(f163,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X1,X0))),
inference(forward_demodulation,[],[f157,f1]) ).
fof(f164,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(forward_demodulation,[],[f156,f1]) ).
fof(f165,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true),
inference(superposition,[],[f26,f164]) ).
fof(f171,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),
inference(forward_demodulation,[],[f165,f1]) ).
fof(f172,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,f162]) ).
fof(f178,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),
inference(forward_demodulation,[],[f172,f1]) ).
fof(f201,definition,
( spl19_14
<=> or(sF6,sF10) = sF11 ),
introduced(definition,[new_symbols(definition,[spl19_14])],[avatar_definition]) ).
fof(f203,plain,
( or(sF6,sF10) = sF11
| ~ spl19_14 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,plain,
spl19_14,
inference(avatar_split_clause,[],[f51,f201]) ).
fof(f220,definition,
( spl19_15
<=> or(sF4,sF9) = sF10 ),
introduced(definition,[new_symbols(definition,[spl19_15])],[avatar_definition]) ).
fof(f222,plain,
( or(sF4,sF9) = sF10
| ~ spl19_15 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f223,plain,
spl19_15,
inference(avatar_split_clause,[],[f49,f220]) ).
fof(f238,definition,
( spl19_16
<=> or(sF13,sF5) = sF14 ),
introduced(definition,[new_symbols(definition,[spl19_16])],[avatar_definition]) ).
fof(f240,plain,
( or(sF13,sF5) = sF14
| ~ spl19_16 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f241,plain,
spl19_16,
inference(avatar_split_clause,[],[f57,f238]) ).
fof(f252,plain,
( ! [X0] : true = ifeq(theorem(or(sF13,or(X0,sF5))),true,theorem(or(X0,sF14)),true)
| ~ spl19_16 ),
inference(superposition,[],[f178,f240]) ).
fof(f300,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(f301,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(forward_demodulation,[],[f300,f1]) ).
fof(f308,definition,
( spl19_17
<=> or(sF0,sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl19_17])],[avatar_definition]) ).
fof(f310,plain,
( or(sF0,sF1) = sF2
| ~ spl19_17 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f311,plain,
spl19_17,
inference(avatar_split_clause,[],[f33,f308]) ).
fof(f330,definition,
( spl19_18
<=> or(sF4,r) = sF5 ),
introduced(definition,[new_symbols(definition,[spl19_18])],[avatar_definition]) ).
fof(f332,plain,
( or(sF4,r) = sF5
| ~ spl19_18 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f333,plain,
spl19_18,
inference(avatar_split_clause,[],[f39,f330]) ).
fof(f355,definition,
( spl19_19
<=> or(sF0,sF7) = sF8 ),
introduced(definition,[new_symbols(definition,[spl19_19])],[avatar_definition]) ).
fof(f357,plain,
( or(sF0,sF7) = sF8
| ~ spl19_19 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f358,plain,
spl19_19,
inference(avatar_split_clause,[],[f45,f355]) ).
fof(f377,definition,
( spl19_20
<=> or(sF12,sF15) = sF16 ),
introduced(definition,[new_symbols(definition,[spl19_20])],[avatar_definition]) ).
fof(f379,plain,
( or(sF12,sF15) = sF16
| ~ spl19_20 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f380,plain,
spl19_20,
inference(avatar_split_clause,[],[f61,f377]) ).
fof(f423,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,f301]) ).
fof(f425,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,[],[f178,f301]) ).
fof(f431,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(not(or(not(X0),X1)),or(X2,X1)))),
inference(forward_demodulation,[],[f425,f1]) ).
fof(f432,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,[],[f423,f1]) ).
fof(f455,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f432,f164]) ).
fof(f457,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),true),
inference(superposition,[],[f432,f161]) ).
fof(f459,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f432,f163]) ).
fof(f462,plain,
( ! [X0] : true = ifeq(theorem(or(not(sF9),X0)),true,theorem(or(not(sF10),or(sF4,X0))),true)
| ~ spl19_15 ),
inference(superposition,[],[f432,f222]) ).
fof(f463,plain,
( ! [X0] : true = ifeq(theorem(or(not(r),X0)),true,theorem(or(not(sF5),or(sF4,X0))),true)
| ~ spl19_18 ),
inference(superposition,[],[f432,f332]) ).
fof(f465,plain,
( ! [X0] : true = ifeq(theorem(or(not(sF15),X0)),true,theorem(or(not(sF16),or(sF12,X0))),true)
| ~ spl19_20 ),
inference(superposition,[],[f432,f379]) ).
fof(f481,plain,
( ! [X0] : true = ifeq(theorem(or(not(sF15),X0)),true,theorem(or(sF17,or(sF12,X0))),true)
| ~ spl19_10
| ~ spl19_20 ),
inference(forward_demodulation,[],[f465,f129]) ).
fof(f483,plain,
( ! [X0] : true = ifeq(theorem(or(not(r),X0)),true,theorem(or(sF6,or(sF4,X0))),true)
| ~ spl19_8
| ~ spl19_18 ),
inference(forward_demodulation,[],[f463,f115]) ).
fof(f484,plain,
( ! [X0] : true = ifeq(theorem(or(not(sF9),X0)),true,theorem(or(sF13,or(sF4,X0))),true)
| ~ spl19_6
| ~ spl19_15 ),
inference(forward_demodulation,[],[f462,f103]) ).
fof(f487,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f459,f1]) ).
fof(f489,plain,
! [X0,X1] : true = theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),
inference(forward_demodulation,[],[f457,f1]) ).
fof(f491,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f455,f1]) ).
fof(f494,plain,
( ! [X0] : true = ifeq(theorem(or(sF7,X0)),true,theorem(or(sF6,or(sF4,X0))),true)
| ~ spl19_3
| ~ spl19_8
| ~ spl19_18 ),
inference(forward_demodulation,[],[f483,f82]) ).
fof(f522,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,f431]) ).
fof(f531,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,[],[f522,f1]) ).
fof(f551,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,or(X0,or(X1,X1)))),or(X2,or(X0,X1)))),true),
inference(superposition,[],[f432,f489]) ).
fof(f552,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),true),
inference(superposition,[],[f26,f489]) ).
fof(f560,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),
inference(forward_demodulation,[],[f552,f1]) ).
fof(f561,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,or(X0,or(X1,X1)))),or(X2,or(X0,X1)))),
inference(forward_demodulation,[],[f551,f1]) ).
fof(f580,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,f487]) ).
fof(f588,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f580,f1]) ).
fof(f663,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,f491]) ).
fof(f674,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f663,f1]) ).
fof(f685,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(X0),X0)),true),
inference(superposition,[],[f560,f163]) ).
fof(f704,plain,
! [X0] : true = theorem(or(not(X0),X0)),
inference(forward_demodulation,[],[f685,f1]) ).
fof(f731,plain,
! [X0] : true = ifeq(true,true,theorem(or(X0,not(X0))),true),
inference(superposition,[],[f171,f704]) ).
fof(f737,plain,
! [X0] : true = theorem(or(X0,not(X0))),
inference(forward_demodulation,[],[f731,f1]) ).
fof(f764,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1))),true),
inference(superposition,[],[f674,f162]) ).
fof(f766,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,or(X1,X1))),or(X1,X0))),true),
inference(superposition,[],[f674,f489]) ).
fof(f771,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X0,X1))),true),
inference(superposition,[],[f674,f163]) ).
fof(f792,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X0,X1))),
inference(forward_demodulation,[],[f771,f1]) ).
fof(f797,plain,
! [X0,X1] : true = theorem(or(not(or(X0,or(X1,X1))),or(X1,X0))),
inference(forward_demodulation,[],[f766,f1]) ).
fof(f799,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1))),
inference(forward_demodulation,[],[f764,f1]) ).
fof(f807,plain,
( ! [X0] : true = ifeq(theorem(sF14),true,theorem(or(sF13,or(X0,sF5))),true)
| ~ spl19_16 ),
inference(superposition,[],[f588,f240]) ).
fof(f819,plain,
( ! [X0] : true = ifeq(theorem(or(X0,sF7)),true,theorem(or(X0,sF8)),true)
| ~ spl19_19 ),
inference(superposition,[],[f588,f357]) ).
fof(f900,plain,
( true = theorem(or(p,sF0))
| ~ spl19_5 ),
inference(superposition,[],[f737,f92]) ).
fof(f902,plain,
( true = theorem(or(r,sF7))
| ~ spl19_3 ),
inference(superposition,[],[f737,f82]) ).
fof(f911,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),true),
inference(superposition,[],[f432,f737]) ).
fof(f927,plain,
! [X0,X1] : true = theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),
inference(forward_demodulation,[],[f911,f1]) ).
fof(f958,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))),true),
inference(superposition,[],[f674,f927]) ).
fof(f977,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))),
inference(forward_demodulation,[],[f958,f1]) ).
fof(f1021,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(X2,or(X0,X1)))),true),
inference(superposition,[],[f432,f792]) ).
fof(f1047,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(X2,or(X0,X1)))),
inference(forward_demodulation,[],[f1021,f1]) ).
fof(f1128,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X1,X2))),true),true),
inference(superposition,[],[f26,f1047]) ).
fof(f1152,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X1,X2))),true),
inference(forward_demodulation,[],[f1128,f1]) ).
fof(f1183,plain,
( ! [X0] : true = ifeq(theorem(or(X0,sF0)),true,theorem(or(X0,sF2)),true)
| ~ spl19_17 ),
inference(superposition,[],[f1152,f310]) ).
fof(f1185,plain,
( ! [X0] : true = ifeq(theorem(or(X0,sF4)),true,theorem(or(X0,sF10)),true)
| ~ spl19_15 ),
inference(superposition,[],[f1152,f222]) ).
fof(f1328,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X1)),X0)),true),true),
inference(superposition,[],[f26,f977]) ).
fof(f1355,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X1)),X0)),true),
inference(forward_demodulation,[],[f1328,f1]) ).
fof(f1527,plain,
( ! [X0] : true = ifeq(theorem(or(X0,sF14)),true,theorem(or(not(sF15),X0)),true)
| ~ spl19_12 ),
inference(superposition,[],[f1355,f139]) ).
fof(f1592,definition,
( spl19_21
<=> true = theorem(or(p,sF0)) ),
introduced(definition,[new_symbols(definition,[spl19_21])],[avatar_definition]) ).
fof(f1594,plain,
( true = theorem(or(p,sF0))
| ~ spl19_21 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f1595,plain,
( spl19_21
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f900,f90,f1592]) ).
fof(f1596,plain,
( true = ifeq(true,true,theorem(or(p,sF2)),true)
| ~ spl19_17
| ~ spl19_21 ),
inference(superposition,[],[f1183,f1594]) ).
fof(f1619,plain,
( true = theorem(or(p,sF2))
| ~ spl19_17
| ~ spl19_21 ),
inference(forward_demodulation,[],[f1596,f1]) ).
fof(f1651,definition,
( spl19_23
<=> true = theorem(or(p,sF2)) ),
introduced(definition,[new_symbols(definition,[spl19_23])],[avatar_definition]) ).
fof(f1653,plain,
( true = theorem(or(p,sF2))
| ~ spl19_23 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f1654,plain,
( spl19_23
| ~ spl19_17
| ~ spl19_21 ),
inference(avatar_split_clause,[],[f1619,f1592,f308,f1651]) ).
fof(f1665,plain,
( true = ifeq(true,true,theorem(or(not(not(sF2)),p)),true)
| ~ spl19_23 ),
inference(superposition,[],[f1355,f1653]) ).
fof(f1672,plain,
( true = theorem(or(not(not(sF2)),p))
| ~ spl19_23 ),
inference(forward_demodulation,[],[f1665,f1]) ).
fof(f1679,plain,
( true = theorem(or(not(sF3),p))
| ~ spl19_9
| ~ spl19_23 ),
inference(forward_demodulation,[],[f1672,f120]) ).
fof(f1682,plain,
( true = theorem(or(sF4,p))
| ~ spl19_7
| ~ spl19_9
| ~ spl19_23 ),
inference(forward_demodulation,[],[f1679,f108]) ).
fof(f2457,definition,
( spl19_37
<=> true = theorem(or(r,sF7)) ),
introduced(definition,[new_symbols(definition,[spl19_37])],[avatar_definition]) ).
fof(f2459,plain,
( true = theorem(or(r,sF7))
| ~ spl19_37 ),
inference(avatar_component_clause,[],[f2457]) ).
fof(f2460,plain,
( spl19_37
| ~ spl19_3 ),
inference(avatar_split_clause,[],[f902,f80,f2457]) ).
fof(f2461,plain,
( true = ifeq(true,true,theorem(or(r,sF8)),true)
| ~ spl19_19
| ~ spl19_37 ),
inference(superposition,[],[f819,f2459]) ).
fof(f2482,plain,
( true = theorem(or(r,sF8))
| ~ spl19_19
| ~ spl19_37 ),
inference(forward_demodulation,[],[f2461,f1]) ).
fof(f2484,definition,
( spl19_38
<=> true = theorem(or(r,sF8)) ),
introduced(definition,[new_symbols(definition,[spl19_38])],[avatar_definition]) ).
fof(f2486,plain,
( true = theorem(or(r,sF8))
| ~ spl19_38 ),
inference(avatar_component_clause,[],[f2484]) ).
fof(f2487,plain,
( spl19_38
| ~ spl19_19
| ~ spl19_37 ),
inference(avatar_split_clause,[],[f2482,f2457,f355,f2484]) ).
fof(f2497,plain,
( true = ifeq(true,true,theorem(or(not(not(sF8)),r)),true)
| ~ spl19_38 ),
inference(superposition,[],[f1355,f2486]) ).
fof(f2504,plain,
( true = theorem(or(not(not(sF8)),r))
| ~ spl19_38 ),
inference(forward_demodulation,[],[f2497,f1]) ).
fof(f2510,plain,
( true = theorem(or(not(sF9),r))
| ~ spl19_13
| ~ spl19_38 ),
inference(forward_demodulation,[],[f2504,f144]) ).
fof(f2555,plain,
( true = ifeq(theorem(or(sF12,sF17)),true,ifeq(theorem(sF11),true,sF18,true),true)
| ~ spl19_1
| ~ spl19_11 ),
inference(superposition,[],[f78,f134]) ).
fof(f2998,definition,
( spl19_40
<=> true = theorem(or(sF4,p)) ),
introduced(definition,[new_symbols(definition,[spl19_40])],[avatar_definition]) ).
fof(f3000,plain,
( true = theorem(or(sF4,p))
| ~ spl19_40 ),
inference(avatar_component_clause,[],[f2998]) ).
fof(f3001,plain,
( spl19_40
| ~ spl19_7
| ~ spl19_9
| ~ spl19_23 ),
inference(avatar_split_clause,[],[f1682,f1651,f118,f106,f2998]) ).
fof(f3007,plain,
( ! [X0] : true = ifeq(true,true,theorem(or(not(or(not(p),X0)),or(sF4,X0))),true)
| ~ spl19_40 ),
inference(superposition,[],[f531,f3000]) ).
fof(f3025,plain,
( ! [X0] : true = theorem(or(not(or(not(p),X0)),or(sF4,X0)))
| ~ spl19_40 ),
inference(forward_demodulation,[],[f3007,f1]) ).
fof(f3030,plain,
( ! [X0] : true = theorem(or(not(or(sF0,X0)),or(sF4,X0)))
| ~ spl19_5
| ~ spl19_40 ),
inference(forward_demodulation,[],[f3025,f92]) ).
fof(f3042,plain,
( ! [X0] : true = ifeq(true,true,theorem(or(not(or(sF0,X0)),or(X0,sF4))),true)
| ~ spl19_5
| ~ spl19_40 ),
inference(superposition,[],[f674,f3030]) ).
fof(f3070,plain,
( ! [X0] : true = theorem(or(not(or(sF0,X0)),or(X0,sF4)))
| ~ spl19_5
| ~ spl19_40 ),
inference(forward_demodulation,[],[f3042,f1]) ).
fof(f3128,plain,
( true = ifeq(theorem(or(not(sF9),r)),true,theorem(or(sF13,sF5)),true)
| ~ spl19_6
| ~ spl19_15
| ~ spl19_18 ),
inference(superposition,[],[f484,f332]) ).
fof(f3130,plain,
( true = ifeq(theorem(or(not(sF9),r)),true,theorem(sF14),true)
| ~ spl19_6
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18 ),
inference(forward_demodulation,[],[f3128,f240]) ).
fof(f3138,plain,
( true = ifeq(true,true,theorem(sF14),true)
| ~ spl19_6
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_38 ),
inference(forward_demodulation,[],[f3130,f2510]) ).
fof(f3140,plain,
( true = theorem(sF14)
| ~ spl19_6
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_38 ),
inference(forward_demodulation,[],[f3138,f1]) ).
fof(f3145,plain,
( ! [X0] : true = ifeq(true,true,theorem(or(sF13,or(X0,sF5))),true)
| ~ spl19_6
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_38 ),
inference(backward_demodulation,[],[f807,f3140]) ).
fof(f3161,plain,
( ! [X0] : true = theorem(or(sF13,or(X0,sF5)))
| ~ spl19_6
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_38 ),
inference(forward_demodulation,[],[f3145,f1]) ).
fof(f3165,plain,
( ! [X0] : true = ifeq(true,true,theorem(or(X0,sF14)),true)
| ~ spl19_6
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_38 ),
inference(backward_demodulation,[],[f252,f3161]) ).
fof(f3166,plain,
( ! [X0] : true = theorem(or(X0,sF14))
| ~ spl19_6
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_38 ),
inference(forward_demodulation,[],[f3165,f1]) ).
fof(f3173,plain,
( ! [X0] : true = ifeq(true,true,theorem(or(not(sF15),X0)),true)
| ~ spl19_6
| ~ spl19_12
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_38 ),
inference(backward_demodulation,[],[f1527,f3166]) ).
fof(f3184,plain,
( ! [X0] : true = theorem(or(not(sF15),X0))
| ~ spl19_6
| ~ spl19_12
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_38 ),
inference(forward_demodulation,[],[f3173,f1]) ).
fof(f3189,plain,
( ! [X0] : true = ifeq(true,true,theorem(or(sF17,or(sF12,X0))),true)
| ~ spl19_6
| ~ spl19_10
| ~ spl19_12
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_20
| ~ spl19_38 ),
inference(backward_demodulation,[],[f481,f3184]) ).
fof(f3190,plain,
( ! [X0] : true = theorem(or(sF17,or(sF12,X0)))
| ~ spl19_6
| ~ spl19_10
| ~ spl19_12
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_20
| ~ spl19_38 ),
inference(forward_demodulation,[],[f3189,f1]) ).
fof(f4504,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,or(X2,X2)))),true,theorem(or(X0,or(X1,X2))),true),true),
inference(superposition,[],[f26,f561]) ).
fof(f4545,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,or(X2,X2)))),true,theorem(or(X0,or(X1,X2))),true),
inference(forward_demodulation,[],[f4504,f1]) ).
fof(f5956,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X1,X0)),true),true),
inference(superposition,[],[f26,f797]) ).
fof(f6001,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X1,X0)),true),
inference(forward_demodulation,[],[f5956,f1]) ).
fof(f6046,plain,
( true = ifeq(true,true,theorem(or(sF12,sF17)),true)
| ~ spl19_6
| ~ spl19_10
| ~ spl19_12
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_20
| ~ spl19_38 ),
inference(superposition,[],[f6001,f3190]) ).
fof(f6131,plain,
( true = theorem(or(sF12,sF17))
| ~ spl19_6
| ~ spl19_10
| ~ spl19_12
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_20
| ~ spl19_38 ),
inference(forward_demodulation,[],[f6046,f1]) ).
fof(f6174,plain,
( true = ifeq(true,true,ifeq(theorem(sF11),true,sF18,true),true)
| ~ spl19_1
| ~ spl19_6
| ~ spl19_10
| ~ spl19_11
| ~ spl19_12
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_20
| ~ spl19_38 ),
inference(backward_demodulation,[],[f2555,f6131]) ).
fof(f6175,plain,
( true = ifeq(theorem(sF11),true,sF18,true)
| ~ spl19_1
| ~ spl19_6
| ~ spl19_10
| ~ spl19_11
| ~ spl19_12
| ~ spl19_13
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_20
| ~ spl19_38 ),
inference(forward_demodulation,[],[f6174,f1]) ).
fof(f8101,plain,
( true = theorem(or(not(sF8),or(sF7,sF4)))
| ~ spl19_5
| ~ spl19_19
| ~ spl19_40 ),
inference(superposition,[],[f3070,f357]) ).
fof(f8166,plain,
( true = theorem(or(sF9,or(sF7,sF4)))
| ~ spl19_5
| ~ spl19_13
| ~ spl19_19
| ~ spl19_40 ),
inference(forward_demodulation,[],[f8101,f144]) ).
fof(f8187,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(or(X0,X2),X1)),true),true),
inference(superposition,[],[f26,f799]) ).
fof(f8241,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(or(X0,X2),X1)),true),
inference(forward_demodulation,[],[f8187,f1]) ).
fof(f11296,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,or(X1,X0))),or(X1,X0))),true),
inference(superposition,[],[f4545,f162]) ).
fof(f11463,plain,
! [X0,X1] : true = theorem(or(not(or(X0,or(X1,X0))),or(X1,X0))),
inference(forward_demodulation,[],[f11296,f1]) ).
fof(f11496,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X0))),true,theorem(or(X1,X0)),true),true),
inference(superposition,[],[f26,f11463]) ).
fof(f11560,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,or(X1,X0))),true,theorem(or(X1,X0)),true),
inference(forward_demodulation,[],[f11496,f1]) ).
fof(f11582,plain,
( true = ifeq(theorem(or(sF10,sF11)),true,theorem(sF11),true)
| ~ spl19_14 ),
inference(superposition,[],[f11560,f203]) ).
fof(f12918,definition,
( spl19_70
<=> true = theorem(or(sF9,or(sF7,sF4))) ),
introduced(definition,[new_symbols(definition,[spl19_70])],[avatar_definition]) ).
fof(f12920,plain,
( true = theorem(or(sF9,or(sF7,sF4)))
| ~ spl19_70 ),
inference(avatar_component_clause,[],[f12918]) ).
fof(f12921,plain,
( spl19_70
| ~ spl19_5
| ~ spl19_13
| ~ spl19_19
| ~ spl19_40 ),
inference(avatar_split_clause,[],[f8166,f2998,f355,f142,f90,f12918]) ).
fof(f12927,plain,
( true = ifeq(true,true,theorem(or(sF7,or(sF9,sF4))),true)
| ~ spl19_70 ),
inference(superposition,[],[f178,f12920]) ).
fof(f12980,plain,
( true = theorem(or(sF7,or(sF9,sF4)))
| ~ spl19_70 ),
inference(forward_demodulation,[],[f12927,f1]) ).
fof(f12987,definition,
( spl19_71
<=> true = theorem(or(sF7,or(sF9,sF4))) ),
introduced(definition,[new_symbols(definition,[spl19_71])],[avatar_definition]) ).
fof(f12989,plain,
( true = theorem(or(sF7,or(sF9,sF4)))
| ~ spl19_71 ),
inference(avatar_component_clause,[],[f12987]) ).
fof(f12990,plain,
( spl19_71
| ~ spl19_70 ),
inference(avatar_split_clause,[],[f12980,f12918,f12987]) ).
fof(f12997,plain,
( true = ifeq(true,true,theorem(or(sF7,or(sF4,sF9))),true)
| ~ spl19_71 ),
inference(superposition,[],[f674,f12989]) ).
fof(f13046,plain,
( true = theorem(or(sF7,or(sF4,sF9)))
| ~ spl19_71 ),
inference(forward_demodulation,[],[f12997,f1]) ).
fof(f13050,plain,
( true = theorem(or(sF7,sF10))
| ~ spl19_15
| ~ spl19_71 ),
inference(forward_demodulation,[],[f13046,f222]) ).
fof(f13055,definition,
( spl19_72
<=> true = theorem(or(sF7,sF10)) ),
introduced(definition,[new_symbols(definition,[spl19_72])],[avatar_definition]) ).
fof(f13057,plain,
( true = theorem(or(sF7,sF10))
| ~ spl19_72 ),
inference(avatar_component_clause,[],[f13055]) ).
fof(f13058,plain,
( spl19_72
| ~ spl19_15
| ~ spl19_71 ),
inference(avatar_split_clause,[],[f13050,f12987,f220,f13055]) ).
fof(f13061,plain,
( true = ifeq(true,true,theorem(or(sF6,or(sF4,sF10))),true)
| ~ spl19_3
| ~ spl19_8
| ~ spl19_18
| ~ spl19_72 ),
inference(superposition,[],[f494,f13057]) ).
fof(f13111,plain,
( true = theorem(or(sF6,or(sF4,sF10)))
| ~ spl19_3
| ~ spl19_8
| ~ spl19_18
| ~ spl19_72 ),
inference(forward_demodulation,[],[f13061,f1]) ).
fof(f14823,definition,
( spl19_87
<=> true = theorem(or(sF6,or(sF4,sF10))) ),
introduced(definition,[new_symbols(definition,[spl19_87])],[avatar_definition]) ).
fof(f14825,plain,
( true = theorem(or(sF6,or(sF4,sF10)))
| ~ spl19_87 ),
inference(avatar_component_clause,[],[f14823]) ).
fof(f14826,plain,
( spl19_87
| ~ spl19_3
| ~ spl19_8
| ~ spl19_18
| ~ spl19_72 ),
inference(avatar_split_clause,[],[f13111,f13055,f330,f113,f80,f14823]) ).
fof(f14843,plain,
( true = ifeq(true,true,theorem(or(or(sF6,sF10),sF4)),true)
| ~ spl19_87 ),
inference(superposition,[],[f8241,f14825]) ).
fof(f14885,plain,
( true = theorem(or(or(sF6,sF10),sF4))
| ~ spl19_87 ),
inference(forward_demodulation,[],[f14843,f1]) ).
fof(f14894,plain,
( true = theorem(or(sF11,sF4))
| ~ spl19_14
| ~ spl19_87 ),
inference(forward_demodulation,[],[f14885,f203]) ).
fof(f15048,definition,
( spl19_89
<=> true = theorem(or(sF11,sF4)) ),
introduced(definition,[new_symbols(definition,[spl19_89])],[avatar_definition]) ).
fof(f15050,plain,
( true = theorem(or(sF11,sF4))
| ~ spl19_89 ),
inference(avatar_component_clause,[],[f15048]) ).
fof(f15051,plain,
( spl19_89
| ~ spl19_14
| ~ spl19_87 ),
inference(avatar_split_clause,[],[f14894,f14823,f201,f15048]) ).
fof(f15053,plain,
( true = ifeq(true,true,theorem(or(sF11,sF10)),true)
| ~ spl19_15
| ~ spl19_89 ),
inference(superposition,[],[f1185,f15050]) ).
fof(f15096,plain,
( true = theorem(or(sF11,sF10))
| ~ spl19_15
| ~ spl19_89 ),
inference(forward_demodulation,[],[f15053,f1]) ).
fof(f15107,definition,
( spl19_91
<=> true = theorem(or(sF11,sF10)) ),
introduced(definition,[new_symbols(definition,[spl19_91])],[avatar_definition]) ).
fof(f15109,plain,
( true = theorem(or(sF11,sF10))
| ~ spl19_91 ),
inference(avatar_component_clause,[],[f15107]) ).
fof(f15110,plain,
( spl19_91
| ~ spl19_15
| ~ spl19_89 ),
inference(avatar_split_clause,[],[f15096,f15048,f220,f15107]) ).
fof(f15199,plain,
( true = ifeq(true,true,theorem(or(sF10,sF11)),true)
| ~ spl19_91 ),
inference(superposition,[],[f171,f15109]) ).
fof(f15239,plain,
( true = theorem(or(sF10,sF11))
| ~ spl19_91 ),
inference(forward_demodulation,[],[f15199,f1]) ).
fof(f15251,plain,
( true = ifeq(true,true,theorem(sF11),true)
| ~ spl19_14
| ~ spl19_91 ),
inference(backward_demodulation,[],[f11582,f15239]) ).
fof(f15254,plain,
( true = theorem(sF11)
| ~ spl19_14
| ~ spl19_91 ),
inference(forward_demodulation,[],[f15251,f1]) ).
fof(f15277,plain,
( true = ifeq(true,true,sF18,true)
| ~ spl19_1
| ~ spl19_6
| ~ spl19_10
| ~ spl19_11
| ~ spl19_12
| ~ spl19_13
| ~ spl19_14
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_20
| ~ spl19_38
| ~ spl19_91 ),
inference(backward_demodulation,[],[f6175,f15254]) ).
fof(f15294,plain,
( true = sF18
| ~ spl19_1
| ~ spl19_6
| ~ spl19_10
| ~ spl19_11
| ~ spl19_12
| ~ spl19_13
| ~ spl19_14
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_20
| ~ spl19_38
| ~ spl19_91 ),
inference(forward_demodulation,[],[f15277,f1]) ).
fof(f15303,plain,
( $false
| ~ spl19_1
| spl19_2
| ~ spl19_6
| ~ spl19_10
| ~ spl19_11
| ~ spl19_12
| ~ spl19_13
| ~ spl19_14
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_20
| ~ spl19_38
| ~ spl19_91 ),
inference(forward_subsumption_resolution,[],[f15294,f75]) ).
fof(f15304,plain,
( ~ spl19_1
| spl19_2
| ~ spl19_6
| ~ spl19_10
| ~ spl19_11
| ~ spl19_12
| ~ spl19_13
| ~ spl19_14
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_20
| ~ spl19_38
| ~ spl19_91 ),
inference(avatar_contradiction_clause,[],[f15303]) ).
cnf(s1,plain,
spl19_1,
inference(sat_conversion,[],[f71]) ).
cnf(s2,plain,
~ spl19_2,
inference(sat_conversion,[],[f76]) ).
cnf(s3,plain,
spl19_3,
inference(sat_conversion,[],[f83]) ).
cnf(s5,plain,
spl19_5,
inference(sat_conversion,[],[f93]) ).
cnf(s6,plain,
spl19_6,
inference(sat_conversion,[],[f104]) ).
cnf(s7,plain,
spl19_7,
inference(sat_conversion,[],[f109]) ).
cnf(s8,plain,
spl19_8,
inference(sat_conversion,[],[f116]) ).
cnf(s9,plain,
spl19_9,
inference(sat_conversion,[],[f121]) ).
cnf(s10,plain,
spl19_10,
inference(sat_conversion,[],[f130]) ).
cnf(s11,plain,
spl19_11,
inference(sat_conversion,[],[f135]) ).
cnf(s12,plain,
spl19_12,
inference(sat_conversion,[],[f140]) ).
cnf(s13,plain,
spl19_13,
inference(sat_conversion,[],[f145]) ).
cnf(s14,plain,
spl19_14,
inference(sat_conversion,[],[f204]) ).
cnf(s15,plain,
spl19_15,
inference(sat_conversion,[],[f223]) ).
cnf(s16,plain,
spl19_16,
inference(sat_conversion,[],[f241]) ).
cnf(s17,plain,
spl19_17,
inference(sat_conversion,[],[f311]) ).
cnf(s18,plain,
spl19_18,
inference(sat_conversion,[],[f333]) ).
cnf(s19,plain,
spl19_19,
inference(sat_conversion,[],[f358]) ).
cnf(s20,plain,
spl19_20,
inference(sat_conversion,[],[f380]) ).
cnf(s21,plain,
( ~ spl19_5
| spl19_21 ),
inference(sat_conversion,[],[f1595]) ).
cnf(s23,plain,
( ~ spl19_17
| ~ spl19_21
| spl19_23 ),
inference(sat_conversion,[],[f1654]) ).
cnf(s37,plain,
( ~ spl19_3
| spl19_37 ),
inference(sat_conversion,[],[f2460]) ).
cnf(s38,plain,
( ~ spl19_19
| ~ spl19_37
| spl19_38 ),
inference(sat_conversion,[],[f2487]) ).
cnf(s40,plain,
( ~ spl19_7
| ~ spl19_9
| ~ spl19_23
| spl19_40 ),
inference(sat_conversion,[],[f3001]) ).
cnf(s70,plain,
( ~ spl19_5
| ~ spl19_13
| ~ spl19_19
| ~ spl19_40
| spl19_70 ),
inference(sat_conversion,[],[f12921]) ).
cnf(s71,plain,
( ~ spl19_70
| spl19_71 ),
inference(sat_conversion,[],[f12990]) ).
cnf(s72,plain,
( ~ spl19_15
| ~ spl19_71
| spl19_72 ),
inference(sat_conversion,[],[f13058]) ).
cnf(s87,plain,
( ~ spl19_3
| ~ spl19_8
| ~ spl19_18
| ~ spl19_72
| spl19_87 ),
inference(sat_conversion,[],[f14826]) ).
cnf(s89,plain,
( ~ spl19_14
| ~ spl19_87
| spl19_89 ),
inference(sat_conversion,[],[f15051]) ).
cnf(s91,plain,
( ~ spl19_15
| ~ spl19_89
| spl19_91 ),
inference(sat_conversion,[],[f15110]) ).
cnf(s92,plain,
( ~ spl19_1
| spl19_2
| ~ spl19_6
| ~ spl19_10
| ~ spl19_11
| ~ spl19_12
| ~ spl19_13
| ~ spl19_14
| ~ spl19_15
| ~ spl19_16
| ~ spl19_18
| ~ spl19_20
| ~ spl19_38
| ~ spl19_91 ),
inference(sat_conversion,[],[f15304]) ).
cnf(s98,plain,
spl19_21,
inference(rat,[],[s21,s5]) ).
cnf(s99,plain,
spl19_23,
inference(rat,[],[s23,s17,s98]) ).
cnf(s101,plain,
spl19_40,
inference(rat,[],[s40,s7,s9,s99]) ).
cnf(s103,plain,
spl19_70,
inference(rat,[],[s70,s5,s13,s19,s101]) ).
cnf(s106,plain,
spl19_71,
inference(rat,[],[s71,s103]) ).
cnf(s111,plain,
spl19_72,
inference(rat,[],[s72,s15,s106]) ).
cnf(s135,plain,
spl19_87,
inference(rat,[],[s87,s111,s8,s18,s3]) ).
cnf(s138,plain,
spl19_37,
inference(rat,[],[s37,s3]) ).
cnf(s139,plain,
spl19_89,
inference(rat,[],[s89,s14,s135]) ).
cnf(s142,plain,
spl19_38,
inference(rat,[],[s38,s19,s138]) ).
cnf(s143,plain,
spl19_91,
inference(rat,[],[s91,s15,s139]) ).
cnf(s164,plain,
~ spl19_1,
inference(rat,[],[s92,s143,s142,s20,s18,s16,s15,s14,s13,s12,s11,s10,s6,s2]) ).
cnf(s165,plain,
$false,
inference(rat,[],[s1,s164]) ).
fof(f15349,plain,
$false,
inference(avatar_sat_refutation,[],[s165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL331-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/10.42 % Computer : n003.cluster.edu
% 0.13/10.42 % Model : x86_64 x86_64
% 0.13/10.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.42 % Memory : 8046.5625MB
% 0.13/10.42 % OS : Linux 6.8.0-71-generic
% 0.13/10.42 % CPULimit : 300
% 0.13/10.42 % WCLimit : 300
% 0.13/10.42 % DateTime : Sun Sep 27 15:36:37 UTC 2026
% 0.13/10.42 % CPUTime :
% 0.13/10.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/10.47 Running first-order theorem proving
% 0.13/10.47 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.95/15.43 % (718962)Detected a unit-equality problem, will run specialized UEQ schedule.
% 26.95/15.43 % (718972)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=209241395:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 26.95/15.43 % (718974)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2872312435:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 26.95/15.43 % (718970)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=3491964393:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 26.95/15.43 % (718975)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1127880785:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 26.95/15.43 % (718973)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2745075147:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 26.95/15.43 % (718969)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=1382155500:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 26.95/15.43 % (718971)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1999441590:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 26.95/15.43 % (718972)Instruction limit reached!
% 26.95/15.43 % (718972)------------------------------
% 26.95/15.43 % (718972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/15.43 % (718972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/15.43 % (718972)CaDiCaL version: 2.1.3
% 26.95/15.43 % (718972)Termination reason: Instruction limit
% 26.95/15.43 % (718972)Termination phase: Saturation
% 26.95/15.43 % (718972)Time elapsed: 0.076 s
% 26.95/15.43 % (718972)Peak memory usage: 89 MB
% 26.95/15.43 % (718972)Instructions burned: 137 (million)
% 26.95/15.43 % (718973)Instruction limit reached!
% 26.95/15.43 % (718973)------------------------------
% 26.95/15.43 % (718973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/15.43 % (718973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/15.43 % (718973)CaDiCaL version: 2.1.3
% 26.95/15.43 % (718973)Termination reason: Instruction limit
% 26.95/15.43 % (718973)Termination phase: Saturation
% 26.95/15.43 % (718973)Time elapsed: 0.168 s
% 26.95/15.43 % (718973)Peak memory usage: 89 MB
% 26.95/15.43 % (718973)Instructions burned: 181 (million)
% 26.95/15.43 % (718983)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=562365008:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 26.95/15.43 % (718974)Instruction limit reached!
% 26.95/15.43 % (718974)------------------------------
% 26.95/15.43 % (718974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/15.43 % (718974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/15.43 % (718974)CaDiCaL version: 2.1.3
% 26.95/15.43 % (718974)Termination reason: Instruction limit
% 26.95/15.43 % (718974)Termination phase: Saturation
% 26.95/15.43 % (718974)Time elapsed: 0.236 s
% 26.95/15.43 % (718974)Peak memory usage: 91 MB
% 26.95/15.43 % (718974)Instructions burned: 257 (million)
% 26.95/15.43 % (718984)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=67717885:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 26.95/15.43 % (718986)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2416979844:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 26.95/15.43 % (718986)Instruction limit reached!
% 26.95/15.43 % (718986)------------------------------
% 26.95/15.43 % (718986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/15.43 % (718986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/15.43 % (718986)CaDiCaL version: 2.1.3
% 26.95/15.43 % (718986)Termination reason: Instruction limit
% 26.95/15.43 % (718986)Termination phase: Saturation
% 26.95/15.43 % (718986)Time elapsed: 0.175 s
% 26.95/15.43 % (718986)Peak memory usage: 88 MB
% 26.95/15.43 % (718986)Instructions burned: 215 (million)
% 26.95/15.43 % (718989)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=274445046:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 26.95/15.43 % (718975)Instruction limit reached!
% 26.95/15.43 % (718975)------------------------------
% 26.95/15.43 % (718975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/15.43 % (718975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/15.43 % (718975)CaDiCaL version: 2.1.3
% 26.95/15.43 % (718975)Termination reason: Instruction limit
% 26.95/15.43 % (718975)Termination phase: Saturation
% 26.95/15.43 % (718975)Time elapsed: 1.133 s
% 26.95/15.43 % (718975)Peak memory usage: 101 MB
% 26.95/15.43 % (718975)Instructions burned: 1187 (million)
% 26.95/15.43 % (718989)Instruction limit reached!
% 26.95/15.43 % (718989)------------------------------
% 26.95/15.43 % (718989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/15.43 % (718989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/15.43 % (718989)CaDiCaL version: 2.1.3
% 26.95/15.43 % (718989)Termination reason: Instruction limit
% 26.95/15.43 % (718989)Termination phase: Saturation
% 26.95/15.43 % (718989)Time elapsed: 0.311 s
% 26.95/15.43 % (718989)Peak memory usage: 94 MB
% 26.95/15.43 % (718989)Instructions burned: 317 (million)
% 26.95/15.43 % (718991)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=380518639:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 26.95/15.43 % (718992)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2918823813:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 26.95/15.43 % (718983)Instruction limit reached!
% 26.95/15.43 % (718983)------------------------------
% 26.95/15.43 % (718983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/15.43 % (718983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/15.43 % (718983)CaDiCaL version: 2.1.3
% 26.95/15.43 % (718983)Termination reason: Instruction limit
% 26.95/15.43 % (718983)Termination phase: Saturation
% 26.95/15.43 % (718983)Time elapsed: 2.148 s
% 26.95/15.43 % (718983)Peak memory usage: 143 MB
% 26.95/15.43 % (718983)Instructions burned: 2051 (million)
% 26.95/15.43 % (718995)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3009864032:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2973 on theBenchmark for (2973ds/14534Mi)
% 26.95/15.43 % (718984)Instruction limit reached!
% 26.95/15.43 % (718984)------------------------------
% 26.95/15.43 % (718984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/15.43 % (718984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/15.43 % (718984)CaDiCaL version: 2.1.3
% 26.95/15.43 % (718984)Termination reason: Instruction limit
% 26.95/15.43 % (718984)Termination phase: Saturation
% 26.95/15.43 % (718984)Time elapsed: 2.655 s
% 26.95/15.43 % (718984)Peak memory usage: 170 MB
% 26.95/15.43 % (718984)Instructions burned: 4951 (million)
% 26.95/15.43 % (719000)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1900081960:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2966 on theBenchmark for (2966ds/11832Mi)
% 26.95/15.43 % (718992)Instruction limit reached!
% 26.95/15.43 % (718992)------------------------------
% 26.95/15.43 % (718992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/15.43 % (718992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/15.43 % (718992)CaDiCaL version: 2.1.3
% 26.95/15.43 % (718992)Termination reason: Instruction limit
% 26.95/15.43 % (718992)Termination phase: Saturation
% 26.95/15.43 % (718992)Time elapsed: 2.160 s
% 26.95/15.43 % (718992)Peak memory usage: 116 MB
% 26.95/15.43 % (718992)Instructions burned: 2837 (million)
% 26.95/15.43 % (718969)First to succeed.
% 26.95/15.43 % (718969)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-718962"
% 26.95/15.43 % (719113)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=1180240347:i=2279:fgj=on:bd=all_2959 on theBenchmark for (2959ds/2279Mi)
% 26.95/15.43 % (718969)Refutation found. Thanks to Tanya!
% 26.95/15.43 % SZS status Unsatisfiable for theBenchmark
% 26.95/15.43 % SZS output start Proof for theBenchmark
% See solution above
% 32.12/15.63 % (718969)------------------------------
% 32.12/15.63 % (718969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.12/15.63 % (718969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.12/15.63 % (718969)CaDiCaL version: 2.1.3
% 32.12/15.63 % (718969)Termination reason: Refutation
% 32.12/15.63 % (718969)Time elapsed: 3.879 s
% 32.12/15.63 % (718969)Peak memory usage: 164 MB
% 32.12/15.63 % (718969)Instructions burned: 4237 (million)
% 32.12/15.63 % (718969)------------------------------
% 32.12/15.63 % (718969)------------------------------
% 32.12/15.63 % (718962)Success in time 4.423 s
% 32.12/15.63 % Vampire exiting
%------------------------------------------------------------------------------