%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL341-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:52:02 AM UTC 2026
% Result : Unsatisfiable 5.38s 2.31s
% Output : Refutation 10.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 44
% Syntax : Number of formulae : 181 ( 78 unt; 33 def)
% Number of atoms : 334 ( 46 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 287 ( 134 ~; 131 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 26 ( 24 usr; 23 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(implies(p,equivalent(implies(p,q),q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
~ theorem(or(not(p),not(or(not(or(not(or(not(p),q)),q)),not(or(not(q),or(not(p),q))))))),
inference(definition_unfolding,[],[f11,f6,f12,f6]) ).
fof(f20,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
not(p) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = or(sF0,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
or(sF0,q) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = or(sF2,q),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
or(sF2,q) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = not(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
not(sF3) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = not(q),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
not(q) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF6 = or(sF5,sF1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f33,plain,
or(sF5,sF1) = sF6,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF7 = not(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f35,plain,
not(sF6) = sF7,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF8 = or(sF4,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f37,plain,
or(sF4,sF7) = sF8,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF9 = not(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f39,plain,
not(sF8) = sF9,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF10 = or(sF0,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f41,plain,
or(sF0,sF9) = sF10,
inference(reorient_equations,[],[f40]) ).
fof(f42,plain,
~ theorem(sF10),
inference(definition_folding,[],[f19,f41,f39,f37,f35,f33,f23,f21,f31,f29,f27,f25,f23,f21,f21]) ).
fof(f44,definition,
( spl11_1
<=> theorem(sF10) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f46,plain,
( ~ theorem(sF10)
| spl11_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f47,plain,
~ spl11_1,
inference(avatar_split_clause,[],[f42,f44]) ).
fof(f54,definition,
( spl11_3
<=> or(sF0,q) = sF1 ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f56,plain,
( or(sF0,q) = sF1
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,plain,
spl11_3,
inference(avatar_split_clause,[],[f23,f54]) ).
fof(f59,definition,
( spl11_4
<=> not(sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
fof(f61,plain,
( not(sF1) = sF2
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
spl11_4,
inference(avatar_split_clause,[],[f25,f59]) ).
fof(f64,definition,
( spl11_5
<=> or(sF2,q) = sF3 ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
fof(f66,plain,
( or(sF2,q) = sF3
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,plain,
spl11_5,
inference(avatar_split_clause,[],[f27,f64]) ).
fof(f69,definition,
( spl11_6
<=> not(sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
fof(f71,plain,
( not(sF3) = sF4
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,plain,
spl11_6,
inference(avatar_split_clause,[],[f29,f69]) ).
fof(f74,definition,
( spl11_7
<=> not(q) = sF5 ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
fof(f76,plain,
( not(q) = sF5
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
spl11_7,
inference(avatar_split_clause,[],[f31,f74]) ).
fof(f79,definition,
( spl11_8
<=> or(sF5,sF1) = sF6 ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
fof(f81,plain,
( or(sF5,sF1) = sF6
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
spl11_8,
inference(avatar_split_clause,[],[f33,f79]) ).
fof(f84,definition,
( spl11_9
<=> not(sF6) = sF7 ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
fof(f86,plain,
( not(sF6) = sF7
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
spl11_9,
inference(avatar_split_clause,[],[f35,f84]) ).
fof(f89,definition,
( spl11_10
<=> or(sF4,sF7) = sF8 ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f91,plain,
( or(sF4,sF7) = sF8
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
spl11_10,
inference(avatar_split_clause,[],[f37,f89]) ).
fof(f94,definition,
( spl11_11
<=> not(sF8) = sF9 ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f96,plain,
( not(sF8) = sF9
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
spl11_11,
inference(avatar_split_clause,[],[f39,f94]) ).
fof(f99,definition,
( spl11_12
<=> or(sF0,sF9) = sF10 ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
fof(f101,plain,
( or(sF0,sF9) = sF10
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
spl11_12,
inference(avatar_split_clause,[],[f41,f99]) ).
fof(f103,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f13,f7]) ).
fof(f107,plain,
( ! [X0] : axiom(or(sF2,or(X0,sF1)))
| ~ spl11_4 ),
inference(superposition,[],[f14,f61]) ).
fof(f111,plain,
( axiom(or(not(q),sF1))
| ~ spl11_3 ),
inference(superposition,[],[f14,f56]) ).
fof(f128,plain,
( axiom(or(sF5,sF1))
| ~ spl11_3
| ~ spl11_7 ),
inference(forward_demodulation,[],[f111,f76]) ).
fof(f139,plain,
( axiom(sF6)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f128,f81]) ).
fof(f141,definition,
( spl11_17
<=> axiom(sF6) ),
introduced(definition,[new_symbols(definition,[spl11_17])],[avatar_definition]) ).
fof(f143,plain,
( axiom(sF6)
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,plain,
( spl11_17
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f139,f79,f74,f54,f141]) ).
fof(f145,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f149,plain,
( axiom(or(not(sF8),or(sF7,sF4)))
| ~ spl11_10 ),
inference(superposition,[],[f15,f91]) ).
fof(f186,plain,
( axiom(or(sF9,or(sF7,sF4)))
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f149,f96]) ).
fof(f191,definition,
( spl11_24
<=> axiom(or(sF9,or(sF7,sF4))) ),
introduced(definition,[new_symbols(definition,[spl11_24])],[avatar_definition]) ).
fof(f193,plain,
( axiom(or(sF9,or(sF7,sF4)))
| ~ spl11_24 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f194,plain,
( spl11_24
| ~ spl11_10
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f186,f94,f89,f191]) ).
fof(f210,plain,
( theorem(sF6)
| ~ spl11_17 ),
inference(resolution,[],[f143,f7]) ).
fof(f212,definition,
( spl11_28
<=> theorem(sF6) ),
introduced(definition,[new_symbols(definition,[spl11_28])],[avatar_definition]) ).
fof(f214,plain,
( theorem(sF6)
| ~ spl11_28 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f215,plain,
( spl11_28
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f210,f141,f212]) ).
fof(f220,plain,
( ! [X0] :
( ~ theorem(or(sF7,X0))
| theorem(X0)
| ~ theorem(sF6) )
| ~ spl11_9 ),
inference(superposition,[],[f18,f86]) ).
fof(f230,plain,
( ! [X0] :
( ~ theorem(or(sF7,X0))
| theorem(X0) )
| ~ spl11_9
| ~ spl11_28 ),
inference(forward_subsumption_resolution,[],[f220,f214]) ).
fof(f263,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f16,f7]) ).
fof(f264,plain,
( ! [X0] : axiom(or(not(or(X0,sF1)),or(sF0,or(X0,q))))
| ~ spl11_3 ),
inference(superposition,[],[f16,f56]) ).
fof(f290,plain,
( ! [X0] : axiom(or(not(or(not(X0),sF9)),or(not(or(sF0,X0)),sF10)))
| ~ spl11_12 ),
inference(superposition,[],[f17,f101]) ).
fof(f341,plain,
( ! [X0] : theorem(or(sF2,or(X0,sF1)))
| ~ spl11_4 ),
inference(resolution,[],[f107,f7]) ).
fof(f346,plain,
( theorem(or(sF9,or(sF7,sF4)))
| ~ spl11_24 ),
inference(resolution,[],[f193,f7]) ).
fof(f348,definition,
( spl11_45
<=> theorem(or(sF9,or(sF7,sF4))) ),
introduced(definition,[new_symbols(definition,[spl11_45])],[avatar_definition]) ).
fof(f350,plain,
( theorem(or(sF9,or(sF7,sF4)))
| ~ spl11_45 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f351,plain,
( spl11_45
| ~ spl11_24 ),
inference(avatar_split_clause,[],[f346,f191,f348]) ).
fof(f370,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f103,f18]) ).
fof(f430,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f145,f18]) ).
fof(f454,plain,
( axiom(or(not(or(sF2,sF1)),or(sF0,sF3)))
| ~ spl11_3
| ~ spl11_5 ),
inference(superposition,[],[f264,f66]) ).
fof(f456,definition,
( spl11_56
<=> axiom(or(not(or(sF2,sF1)),or(sF0,sF3))) ),
introduced(definition,[new_symbols(definition,[spl11_56])],[avatar_definition]) ).
fof(f458,plain,
( axiom(or(not(or(sF2,sF1)),or(sF0,sF3)))
| ~ spl11_56 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f459,plain,
( spl11_56
| ~ spl11_3
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f454,f64,f54,f456]) ).
fof(f627,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f263,f18]) ).
fof(f903,plain,
( ! [X0] : theorem(or(not(or(not(X0),sF9)),or(not(or(sF0,X0)),sF10)))
| ~ spl11_12 ),
inference(resolution,[],[f290,f7]) ).
fof(f1119,plain,
( theorem(or(not(or(sF2,sF1)),or(sF0,sF3)))
| ~ spl11_56 ),
inference(resolution,[],[f458,f7]) ).
fof(f1121,definition,
( spl11_123
<=> theorem(or(not(or(sF2,sF1)),or(sF0,sF3))) ),
introduced(definition,[new_symbols(definition,[spl11_123])],[avatar_definition]) ).
fof(f1123,plain,
( theorem(or(not(or(sF2,sF1)),or(sF0,sF3)))
| ~ spl11_123 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1124,plain,
( spl11_123
| ~ spl11_56 ),
inference(avatar_split_clause,[],[f1119,f456,f1121]) ).
fof(f1377,plain,
( theorem(or(sF0,sF3))
| ~ theorem(or(sF2,sF1))
| ~ spl11_123 ),
inference(resolution,[],[f1123,f18]) ).
fof(f1385,definition,
( spl11_149
<=> theorem(or(sF2,sF1)) ),
introduced(definition,[new_symbols(definition,[spl11_149])],[avatar_definition]) ).
fof(f1387,plain,
( ~ theorem(or(sF2,sF1))
| spl11_149 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1389,definition,
( spl11_150
<=> theorem(or(sF0,sF3)) ),
introduced(definition,[new_symbols(definition,[spl11_150])],[avatar_definition]) ).
fof(f1391,plain,
( theorem(or(sF0,sF3))
| ~ spl11_150 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1392,plain,
( ~ spl11_149
| spl11_150
| ~ spl11_123 ),
inference(avatar_split_clause,[],[f1377,f1121,f1389,f1385]) ).
fof(f1481,plain,
( ! [X0] : theorem(or(X0,or(sF2,sF1)))
| ~ spl11_4 ),
inference(resolution,[],[f627,f341]) ).
fof(f1496,plain,
( theorem(or(sF7,or(sF9,sF4)))
| ~ spl11_45 ),
inference(resolution,[],[f627,f350]) ).
fof(f1503,definition,
( spl11_156
<=> theorem(or(sF7,or(sF9,sF4))) ),
introduced(definition,[new_symbols(definition,[spl11_156])],[avatar_definition]) ).
fof(f1505,plain,
( theorem(or(sF7,or(sF9,sF4)))
| ~ spl11_156 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1506,plain,
( spl11_156
| ~ spl11_45 ),
inference(avatar_split_clause,[],[f1496,f348,f1503]) ).
fof(f1609,plain,
( theorem(or(sF2,sF1))
| ~ spl11_4 ),
inference(resolution,[],[f1481,f370]) ).
fof(f1616,plain,
( $false
| ~ spl11_4
| spl11_149 ),
inference(forward_subsumption_resolution,[],[f1609,f1387]) ).
fof(f1617,plain,
( ~ spl11_4
| spl11_149 ),
inference(avatar_contradiction_clause,[],[f1616]) ).
fof(f1785,plain,
( theorem(or(sF9,sF4))
| ~ spl11_9
| ~ spl11_28
| ~ spl11_156 ),
inference(resolution,[],[f1505,f230]) ).
fof(f1794,definition,
( spl11_199
<=> theorem(or(sF9,sF4)) ),
introduced(definition,[new_symbols(definition,[spl11_199])],[avatar_definition]) ).
fof(f1796,plain,
( theorem(or(sF9,sF4))
| ~ spl11_199 ),
inference(avatar_component_clause,[],[f1794]) ).
fof(f1797,plain,
( spl11_199
| ~ spl11_9
| ~ spl11_28
| ~ spl11_156 ),
inference(avatar_split_clause,[],[f1785,f1503,f212,f84,f1794]) ).
fof(f1804,plain,
( theorem(or(sF4,sF9))
| ~ spl11_199 ),
inference(resolution,[],[f1796,f430]) ).
fof(f1806,definition,
( spl11_201
<=> theorem(or(sF4,sF9)) ),
introduced(definition,[new_symbols(definition,[spl11_201])],[avatar_definition]) ).
fof(f1808,plain,
( theorem(or(sF4,sF9))
| ~ spl11_201 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f1809,plain,
( spl11_201
| ~ spl11_199 ),
inference(avatar_split_clause,[],[f1804,f1794,f1806]) ).
fof(f1897,plain,
( ! [X0] :
( theorem(or(not(or(sF0,X0)),sF10))
| ~ theorem(or(not(X0),sF9)) )
| ~ spl11_12 ),
inference(resolution,[],[f903,f18]) ).
fof(f3322,plain,
( ! [X0] :
( ~ theorem(or(not(X0),sF9))
| theorem(sF10)
| ~ theorem(or(sF0,X0)) )
| ~ spl11_12 ),
inference(resolution,[],[f1897,f18]) ).
fof(f3327,plain,
( ! [X0] :
( ~ theorem(or(not(X0),sF9))
| ~ theorem(or(sF0,X0)) )
| spl11_1
| ~ spl11_12 ),
inference(forward_subsumption_resolution,[],[f3322,f46]) ).
fof(f3337,plain,
( ~ theorem(or(sF4,sF9))
| ~ theorem(or(sF0,sF3))
| spl11_1
| ~ spl11_6
| ~ spl11_12 ),
inference(superposition,[],[f3327,f71]) ).
fof(f3340,plain,
( ~ theorem(or(sF0,sF3))
| spl11_1
| ~ spl11_6
| ~ spl11_12
| ~ spl11_201 ),
inference(forward_subsumption_resolution,[],[f3337,f1808]) ).
fof(f3353,plain,
( $false
| spl11_1
| ~ spl11_6
| ~ spl11_12
| ~ spl11_150
| ~ spl11_201 ),
inference(forward_subsumption_resolution,[],[f3340,f1391]) ).
fof(f3354,plain,
( spl11_1
| ~ spl11_6
| ~ spl11_12
| ~ spl11_150
| ~ spl11_201 ),
inference(avatar_contradiction_clause,[],[f3353]) ).
cnf(s1,plain,
~ spl11_1,
inference(sat_conversion,[],[f47]) ).
cnf(s3,plain,
spl11_3,
inference(sat_conversion,[],[f57]) ).
cnf(s4,plain,
spl11_4,
inference(sat_conversion,[],[f62]) ).
cnf(s5,plain,
spl11_5,
inference(sat_conversion,[],[f67]) ).
cnf(s6,plain,
spl11_6,
inference(sat_conversion,[],[f72]) ).
cnf(s7,plain,
spl11_7,
inference(sat_conversion,[],[f77]) ).
cnf(s8,plain,
spl11_8,
inference(sat_conversion,[],[f82]) ).
cnf(s9,plain,
spl11_9,
inference(sat_conversion,[],[f87]) ).
cnf(s10,plain,
spl11_10,
inference(sat_conversion,[],[f92]) ).
cnf(s11,plain,
spl11_11,
inference(sat_conversion,[],[f97]) ).
cnf(s12,plain,
spl11_12,
inference(sat_conversion,[],[f102]) ).
cnf(s17,plain,
( ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| spl11_17 ),
inference(sat_conversion,[],[f144]) ).
cnf(s24,plain,
( ~ spl11_10
| ~ spl11_11
| spl11_24 ),
inference(sat_conversion,[],[f194]) ).
cnf(s28,plain,
( ~ spl11_17
| spl11_28 ),
inference(sat_conversion,[],[f215]) ).
cnf(s40,plain,
( ~ spl11_24
| spl11_45 ),
inference(sat_conversion,[],[f351]) ).
cnf(s51,plain,
( ~ spl11_3
| ~ spl11_5
| spl11_56 ),
inference(sat_conversion,[],[f459]) ).
cnf(s132,plain,
( ~ spl11_56
| spl11_123 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s158,plain,
( ~ spl11_123
| ~ spl11_149
| spl11_150 ),
inference(sat_conversion,[],[f1392]) ).
cnf(s165,plain,
( ~ spl11_45
| spl11_156 ),
inference(sat_conversion,[],[f1506]) ).
cnf(s186,plain,
( ~ spl11_4
| spl11_149 ),
inference(sat_conversion,[],[f1617]) ).
cnf(s218,plain,
( ~ spl11_9
| ~ spl11_28
| ~ spl11_156
| spl11_199 ),
inference(sat_conversion,[],[f1797]) ).
cnf(s220,plain,
( ~ spl11_199
| spl11_201 ),
inference(sat_conversion,[],[f1809]) ).
cnf(s348,plain,
( spl11_1
| ~ spl11_6
| ~ spl11_12
| ~ spl11_150
| ~ spl11_201 ),
inference(sat_conversion,[],[f3354]) ).
cnf(s378,plain,
spl11_24,
inference(rat,[],[s24,s11,s10]) ).
cnf(s385,plain,
spl11_45,
inference(rat,[],[s40,s378]) ).
cnf(s390,plain,
spl11_156,
inference(rat,[],[s165,s385]) ).
cnf(s492,plain,
spl11_149,
inference(rat,[],[s186,s4]) ).
cnf(s526,plain,
spl11_56,
inference(rat,[],[s51,s5,s3]) ).
cnf(s529,plain,
spl11_17,
inference(rat,[],[s17,s7,s8,s3]) ).
cnf(s543,plain,
spl11_123,
inference(rat,[],[s132,s526]) ).
cnf(s546,plain,
spl11_28,
inference(rat,[],[s28,s529]) ).
cnf(s568,plain,
spl11_150,
inference(rat,[],[s158,s492,s543]) ).
cnf(s574,plain,
spl11_199,
inference(rat,[],[s218,s9,s390,s546]) ).
cnf(s593,plain,
spl11_201,
inference(rat,[],[s220,s574]) ).
cnf(s602,plain,
spl11_1,
inference(rat,[],[s348,s568,s6,s12,s593]) ).
cnf(s624,plain,
$false,
inference(rat,[],[s1,s602]) ).
fof(f3356,plain,
$false,
inference(avatar_sat_refutation,[],[s624]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL341-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:35:45 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 5.38/2.31 % (2184299)Input is clausal, will run a generic CNF schedule.
% 5.38/2.31 % (2184374)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3475687676:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.38/2.31 % (2184373)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2326176797:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.38/2.31 % (2184375)lrs+10_1_sil=8000:sp=occurrence:random_seed=277888556:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.38/2.31 % (2184372)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=336792193:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.38/2.31 % (2184377)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=442118326:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.38/2.31 % (2184378)dis-21_1_sil=8000:lcm=predicate:random_seed=3995299213:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.38/2.31 % (2184376)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3928710461:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.38/2.31 % (2184375)Instruction limit reached!
% 5.38/2.31 % (2184375)------------------------------
% 5.38/2.31 % (2184375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.31 % (2184375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.31 % (2184375)CaDiCaL version: 2.1.3
% 5.38/2.31 % (2184375)Termination reason: Instruction limit
% 5.38/2.31 % (2184375)Termination phase: Saturation
% 5.38/2.31 % (2184375)Time elapsed: 0.069 s
% 5.38/2.31 % (2184375)Peak memory usage: 89 MB
% 5.38/2.31 % (2184375)Instructions burned: 107 (million)
% 5.38/2.31 % (2184378)Instruction limit reached!
% 5.38/2.31 % (2184378)------------------------------
% 5.38/2.31 % (2184378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.31 % (2184378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.31 % (2184378)CaDiCaL version: 2.1.3
% 5.38/2.31 % (2184378)Termination reason: Instruction limit
% 5.38/2.31 % (2184378)Termination phase: Saturation
% 5.38/2.31 % (2184378)Time elapsed: 0.058 s
% 5.38/2.31 % (2184378)Peak memory usage: 87 MB
% 5.38/2.31 % (2184378)Instructions burned: 117 (million)
% 5.38/2.31 % (2184377)Instruction limit reached!
% 5.38/2.31 % (2184377)------------------------------
% 5.38/2.31 % (2184377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.31 % (2184377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.31 % (2184377)CaDiCaL version: 2.1.3
% 5.38/2.31 % (2184377)Termination reason: Instruction limit
% 5.38/2.31 % (2184377)Termination phase: Saturation
% 5.38/2.31 % (2184377)Time elapsed: 0.115 s
% 5.38/2.31 % (2184377)Peak memory usage: 89 MB
% 5.38/2.31 % (2184377)Instructions burned: 181 (million)
% 5.38/2.31 % (2184376)Instruction limit reached!
% 5.38/2.31 % (2184376)------------------------------
% 5.38/2.31 % (2184376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.31 % (2184376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.31 % (2184376)CaDiCaL version: 2.1.3
% 5.38/2.31 % (2184376)Termination reason: Instruction limit
% 5.38/2.31 % (2184376)Termination phase: Saturation
% 5.38/2.31 % (2184376)Time elapsed: 0.115 s
% 5.38/2.31 % (2184376)Peak memory usage: 89 MB
% 5.38/2.31 % (2184376)Instructions burned: 114 (million)
% 5.38/2.31 % (2184399)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1540161131:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.38/2.31 % (2184399)Refutation not found, incomplete strategy
% 5.38/2.31 % (2184399)------------------------------
% 5.38/2.31 % (2184399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.31 % (2184399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.31 % (2184399)CaDiCaL version: 2.1.3
% 5.38/2.31 % (2184399)Termination reason: Refutation not found, incomplete strategy
% 5.38/2.31 % (2184399)Time elapsed: 0.001 s
% 5.38/2.31 % (2184399)Peak memory usage: 88 MB
% 5.38/2.31 % (2184400)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=901283395:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.38/2.31 % (2184400)Refutation not found, incomplete strategy
% 5.38/2.31 % (2184400)------------------------------
% 5.38/2.31 % (2184400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.31 % (2184400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.31 % (2184400)CaDiCaL version: 2.1.3
% 5.38/2.31 % (2184400)Termination reason: Refutation not found, incomplete strategy
% 5.38/2.31 % (2184400)Time elapsed: 0.001 s
% 5.38/2.31 % (2184400)Peak memory usage: 87 MB
% 5.38/2.31 % (2184401)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1457676492:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.38/2.31 % (2184401)Refutation not found, incomplete strategy
% 5.38/2.31 % (2184401)------------------------------
% 5.38/2.31 % (2184401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.31 % (2184401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.31 % (2184401)CaDiCaL version: 2.1.3
% 5.38/2.31 % (2184401)Termination reason: Refutation not found, incomplete strategy
% 5.38/2.31 % (2184401)Time elapsed: 0.001 s
% 5.38/2.31 % (2184401)Peak memory usage: 88 MB
% 5.38/2.31 % (2184402)lrs+10_64_to=lpo:sil=8000:random_seed=135009394:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.38/2.31 % (2184402)Instruction limit reached!
% 5.38/2.31 % (2184402)------------------------------
% 5.38/2.31 % (2184402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.31 % (2184402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.31 % (2184402)CaDiCaL version: 2.1.3
% 5.38/2.31 % (2184402)Termination reason: Instruction limit
% 5.38/2.31 % (2184402)Termination phase: Saturation
% 5.38/2.31 % (2184402)Time elapsed: 0.074 s
% 5.38/2.31 % (2184402)Peak memory usage: 89 MB
% 5.38/2.31 % (2184402)Instructions burned: 128 (million)
% 5.38/2.31 % (2184399)------------------------------
% 5.38/2.31 % (2184399)------------------------------
% 5.38/2.31 % (2184400)------------------------------
% 5.38/2.31 % (2184400)------------------------------
% 5.38/2.31 % (2184401)------------------------------
% 5.38/2.31 % (2184401)------------------------------
% 5.38/2.31 % (2184407)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1772174971:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.38/2.31 % (2184408)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3247794958:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 5.38/2.31 % (2184412)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2633854044:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.38/2.31 % (2184418)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=398801225:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.38/2.31 % (2184407)Instruction limit reached!
% 5.38/2.31 % (2184407)------------------------------
% 5.38/2.31 % (2184407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.31 % (2184407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.31 % (2184407)CaDiCaL version: 2.1.3
% 5.38/2.31 % (2184407)Termination reason: Instruction limit
% 5.38/2.31 % (2184407)Termination phase: Saturation
% 5.38/2.31 % (2184407)Time elapsed: 0.207 s
% 5.38/2.31 % (2184407)Peak memory usage: 90 MB
% 5.38/2.31 % (2184407)Instructions burned: 194 (million)
% 5.38/2.31 % (2184408)First to succeed.
% 5.38/2.31 % (2184408)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2184299"
% 5.38/2.31 % (2184374)Also succeeded, but the first one will report.
% 5.38/2.31 % (2184418)Instruction limit reached!
% 5.38/2.31 % (2184418)------------------------------
% 5.38/2.31 % (2184418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.31 % (2184418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.31 % (2184418)CaDiCaL version: 2.1.3
% 5.38/2.31 % (2184418)Termination reason: Instruction limit
% 5.38/2.31 % (2184418)Termination phase: Saturation
% 5.38/2.31 % (2184418)Time elapsed: 0.089 s
% 5.38/2.31 % (2184418)Peak memory usage: 89 MB
% 5.38/2.31 % (2184418)Instructions burned: 106 (million)
% 5.38/2.31 % (2184372)Also succeeded, but the first one will report.
% 5.38/2.31 % (2184436)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1163617675:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 5.38/2.31 % (2184434)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=743726298:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 5.38/2.31 % (2184434)Refutation not found, incomplete strategy
% 5.38/2.31 % (2184434)------------------------------
% 5.38/2.31 % (2184434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.31 % (2184434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.31 % (2184434)CaDiCaL version: 2.1.3
% 5.38/2.31 % (2184434)Termination reason: Refutation not found, incomplete strategy
% 5.38/2.31 % (2184434)Time elapsed: 0.002 s
% 5.38/2.31 % (2184434)Peak memory usage: 87 MB
% 5.38/2.31 % (2184436)Instruction limit reached!
% 5.38/2.31 % (2184436)------------------------------
% 5.38/2.31 % (2184436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/2.31 % (2184436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/2.31 % (2184436)CaDiCaL version: 2.1.3
% 5.38/2.31 % (2184436)Termination reason: Instruction limit
% 5.38/2.31 % (2184436)Termination phase: Saturation
% 5.38/2.31 % (2184436)Time elapsed: 0.116 s
% 5.38/2.31 % (2184436)Peak memory usage: 90 MB
% 5.38/2.31 % (2184436)Instructions burned: 243 (million)
% 5.38/2.31 % (2184408)Refutation found. Thanks to Tanya!
% 5.38/2.31 % SZS status Unsatisfiable for theBenchmark
% 5.38/2.31 % SZS output start Proof for theBenchmark
% See solution above
% 10.85/2.64 % (2184408)------------------------------
% 10.85/2.64 % (2184408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.64 % (2184408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.64 % (2184408)CaDiCaL version: 2.1.3
% 10.85/2.64 % (2184408)Termination reason: Refutation
% 10.85/2.64 % (2184408)Time elapsed: 0.115 s
% 10.85/2.64 % (2184408)Peak memory usage: 91 MB
% 10.85/2.64 % (2184408)Instructions burned: 107 (million)
% 10.85/2.64 % (2184408)------------------------------
% 10.85/2.64 % (2184408)------------------------------
% 10.85/2.64 % (2184299)Success in time 1.444 s
% 10.85/2.64 % Vampire exiting
%------------------------------------------------------------------------------