%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL180-3 : 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 : n001.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 11:51:26 AM UTC 2026
% Result : Unsatisfiable 6.30s 1.94s
% Output : Refutation 8.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 26
% Syntax : Number of formulae : 134 ( 50 unt; 17 def)
% Number of atoms : 267 ( 17 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 257 ( 124 ~; 120 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn 85 !; 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,negated_conjecture,
~ theorem(implies(not(not(p)),p)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f13,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f14,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(f15,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f16,plain,
~ theorem(or(not(not(not(p))),p)),
inference(definition_unfolding,[],[f9,f6]) ).
fof(f17,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f18,plain,
not(p) = sF0,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF1 = not(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f20,plain,
not(sF0) = sF1,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f22,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF3 = or(sF2,p),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f24,plain,
or(sF2,p) = sF3,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
~ theorem(sF3),
inference(definition_folding,[],[f16,f24,f22,f20,f18]) ).
fof(f27,definition,
( spl4_1
<=> theorem(sF3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f29,plain,
( ~ theorem(sF3)
| spl4_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f30,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f25,f27]) ).
fof(f32,definition,
( spl4_2
<=> not(p) = sF0 ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f34,plain,
( not(p) = sF0
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f35,plain,
spl4_2,
inference(avatar_split_clause,[],[f18,f32]) ).
fof(f37,definition,
( spl4_3
<=> not(sF0) = sF1 ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f39,plain,
( not(sF0) = sF1
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f40,plain,
spl4_3,
inference(avatar_split_clause,[],[f20,f37]) ).
fof(f42,definition,
( spl4_4
<=> not(sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f44,plain,
( not(sF1) = sF2
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f45,plain,
spl4_4,
inference(avatar_split_clause,[],[f22,f42]) ).
fof(f47,definition,
( spl4_5
<=> or(sF2,p) = sF3 ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f49,plain,
( or(sF2,p) = sF3
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f50,plain,
spl4_5,
inference(avatar_split_clause,[],[f24,f47]) ).
fof(f51,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f10,f7]) ).
fof(f52,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f11,f7]) ).
fof(f55,plain,
( ! [X0] : axiom(or(sF2,or(X0,sF1)))
| ~ spl4_4 ),
inference(superposition,[],[f11,f44]) ).
fof(f56,plain,
( axiom(or(not(p),sF3))
| ~ spl4_5 ),
inference(superposition,[],[f11,f49]) ).
fof(f57,plain,
( axiom(or(sF0,sF3))
| ~ spl4_2
| ~ spl4_5 ),
inference(forward_demodulation,[],[f56,f34]) ).
fof(f59,definition,
( spl4_6
<=> axiom(or(sF0,sF3)) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f61,plain,
( axiom(or(sF0,sF3))
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
( spl4_6
| ~ spl4_2
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f57,f47,f32,f59]) ).
fof(f63,plain,
( theorem(or(sF0,sF3))
| ~ spl4_6 ),
inference(resolution,[],[f61,f7]) ).
fof(f65,definition,
( spl4_7
<=> theorem(or(sF0,sF3)) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f67,plain,
( theorem(or(sF0,sF3))
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f68,plain,
( spl4_7
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f63,f59,f65]) ).
fof(f69,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f70,plain,
( axiom(or(not(sF3),or(p,sF2)))
| ~ spl4_5 ),
inference(superposition,[],[f12,f49]) ).
fof(f71,plain,
( axiom(or(not(or(p,sF2)),sF3))
| ~ spl4_5 ),
inference(superposition,[],[f12,f49]) ).
fof(f73,definition,
( spl4_8
<=> axiom(or(not(or(p,sF2)),sF3)) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f75,plain,
( axiom(or(not(or(p,sF2)),sF3))
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,plain,
( spl4_8
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f71,f47,f73]) ).
fof(f78,definition,
( spl4_9
<=> axiom(or(not(sF3),or(p,sF2))) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f80,plain,
( axiom(or(not(sF3),or(p,sF2)))
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,plain,
( spl4_9
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f70,f47,f78]) ).
fof(f109,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f13,f7]) ).
fof(f112,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f14,f7]) ).
fof(f117,plain,
( ! [X0] : axiom(or(not(or(not(X0),p)),or(not(or(sF2,X0)),sF3)))
| ~ spl4_5 ),
inference(superposition,[],[f14,f49]) ).
fof(f122,plain,
( ! [X0] : theorem(or(sF2,or(X0,sF1)))
| ~ spl4_4 ),
inference(resolution,[],[f55,f7]) ).
fof(f125,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[],[f52,f15]) ).
fof(f131,plain,
( theorem(or(not(or(p,sF2)),sF3))
| ~ spl4_8 ),
inference(resolution,[],[f75,f7]) ).
fof(f133,definition,
( spl4_16
<=> theorem(or(not(or(p,sF2)),sF3)) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
fof(f135,plain,
( theorem(or(not(or(p,sF2)),sF3))
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl4_16
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f131,f73,f133]) ).
fof(f137,plain,
( theorem(or(not(sF3),or(p,sF2)))
| ~ spl4_9 ),
inference(resolution,[],[f80,f7]) ).
fof(f139,definition,
( spl4_17
<=> theorem(or(not(sF3),or(p,sF2))) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f141,plain,
( theorem(or(not(sF3),or(p,sF2)))
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( spl4_17
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f137,f78,f139]) ).
fof(f146,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f69,f15]) ).
fof(f149,plain,
( theorem(sF3)
| ~ theorem(or(p,sF2))
| ~ spl4_16 ),
inference(resolution,[],[f135,f15]) ).
fof(f150,plain,
( ~ theorem(or(p,sF2))
| spl4_1
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f149,f29]) ).
fof(f152,definition,
( spl4_18
<=> theorem(or(p,sF2)) ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
fof(f154,plain,
( ~ theorem(or(p,sF2))
| spl4_18 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( ~ spl4_18
| spl4_1
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f150,f133,f27,f152]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f109,f15]) ).
fof(f189,plain,
( theorem(or(sF3,sF0))
| ~ spl4_7 ),
inference(resolution,[],[f146,f67]) ).
fof(f195,definition,
( spl4_22
<=> theorem(or(sF3,sF0)) ),
introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).
fof(f197,plain,
( theorem(or(sF3,sF0))
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f198,plain,
( spl4_22
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f189,f65,f195]) ).
fof(f209,plain,
( ! [X0] : theorem(or(not(or(not(X0),p)),or(not(or(sF2,X0)),sF3)))
| ~ spl4_5 ),
inference(resolution,[],[f117,f7]) ).
fof(f261,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f112,f15]) ).
fof(f304,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f179,f125]) ).
fof(f307,plain,
! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(resolution,[],[f179,f69]) ).
fof(f313,plain,
! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1))),
inference(resolution,[],[f179,f51]) ).
fof(f352,plain,
( ! [X0] : theorem(or(not(or(sF2,X0)),or(not(or(not(X0),p)),sF3)))
| ~ spl4_5 ),
inference(resolution,[],[f209,f179]) ).
fof(f401,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f261,f15]) ).
fof(f402,plain,
! [X2,X0,X1] :
( theorem(or(X2,or(not(or(X2,X0)),X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f261,f179]) ).
fof(f651,plain,
! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) ),
inference(resolution,[],[f313,f15]) ).
fof(f711,plain,
( ! [X0] :
( theorem(or(not(or(not(X0),p)),sF3))
| ~ theorem(or(sF2,X0)) )
| ~ spl4_5 ),
inference(resolution,[],[f352,f15]) ).
fof(f765,plain,
( ! [X0] :
( theorem(or(X0,or(p,sF2)))
| ~ theorem(or(X0,sF3)) )
| ~ spl4_17 ),
inference(resolution,[],[f401,f141]) ).
fof(f780,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f401,f307]) ).
fof(f827,plain,
! [X2,X0,X1] :
( theorem(or(or(not(or(X2,X0)),X1),X2))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f402,f146]) ).
fof(f1014,plain,
( ! [X0] :
( ~ theorem(or(not(X0),sF3))
| theorem(or(p,sF2))
| ~ theorem(X0) )
| ~ spl4_17 ),
inference(resolution,[],[f765,f15]) ).
fof(f1025,plain,
( ! [X0] :
( ~ theorem(or(not(X0),sF3))
| ~ theorem(X0) )
| ~ spl4_17
| spl4_18 ),
inference(forward_subsumption_resolution,[],[f1014,f154]) ).
fof(f2221,plain,
( ! [X0] :
( ~ theorem(or(or(not(X0),sF3),or(not(X0),sF3)))
| ~ theorem(X0) )
| ~ spl4_17
| spl4_18 ),
inference(resolution,[],[f651,f1025]) ).
fof(f2260,plain,
( ! [X0] :
( ~ theorem(or(or(not(X0),sF3),sF3))
| ~ theorem(X0) )
| ~ spl4_17
| spl4_18 ),
inference(resolution,[],[f2221,f304]) ).
fof(f2307,plain,
( ! [X0] :
( ~ theorem(or(not(X0),sF3))
| ~ theorem(or(sF3,X0)) )
| ~ spl4_17
| spl4_18 ),
inference(resolution,[],[f2260,f827]) ).
fof(f2450,plain,
( ! [X0] :
( ~ theorem(or(sF3,or(not(X0),p)))
| ~ theorem(or(sF2,X0)) )
| ~ spl4_5
| ~ spl4_17
| spl4_18 ),
inference(resolution,[],[f2307,f711]) ).
fof(f3294,plain,
( ! [X0] :
( ~ theorem(or(sF2,or(p,not(X0))))
| ~ theorem(or(sF3,X0)) )
| ~ spl4_5
| ~ spl4_17
| spl4_18 ),
inference(resolution,[],[f2450,f780]) ).
fof(f3418,plain,
( ~ theorem(or(sF2,or(p,sF1)))
| ~ theorem(or(sF3,sF0))
| ~ spl4_3
| ~ spl4_5
| ~ spl4_17
| spl4_18 ),
inference(superposition,[],[f3294,f39]) ).
fof(f3420,plain,
( ~ theorem(or(sF3,sF0))
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_17
| spl4_18 ),
inference(forward_subsumption_resolution,[],[f3418,f122]) ).
fof(f3421,plain,
( $false
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_17
| spl4_18
| ~ spl4_22 ),
inference(forward_subsumption_resolution,[],[f3420,f197]) ).
fof(f3422,plain,
( ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_17
| spl4_18
| ~ spl4_22 ),
inference(avatar_contradiction_clause,[],[f3421]) ).
cnf(s1,plain,
~ spl4_1,
inference(sat_conversion,[],[f30]) ).
cnf(s2,plain,
spl4_2,
inference(sat_conversion,[],[f35]) ).
cnf(s3,plain,
spl4_3,
inference(sat_conversion,[],[f40]) ).
cnf(s4,plain,
spl4_4,
inference(sat_conversion,[],[f45]) ).
cnf(s5,plain,
spl4_5,
inference(sat_conversion,[],[f50]) ).
cnf(s6,plain,
( ~ spl4_2
| ~ spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f62]) ).
cnf(s7,plain,
( ~ spl4_6
| spl4_7 ),
inference(sat_conversion,[],[f68]) ).
cnf(s8,plain,
( ~ spl4_5
| spl4_8 ),
inference(sat_conversion,[],[f76]) ).
cnf(s9,plain,
( ~ spl4_5
| spl4_9 ),
inference(sat_conversion,[],[f81]) ).
cnf(s13,plain,
( ~ spl4_8
| spl4_16 ),
inference(sat_conversion,[],[f136]) ).
cnf(s14,plain,
( ~ spl4_9
| spl4_17 ),
inference(sat_conversion,[],[f142]) ).
cnf(s15,plain,
( spl4_1
| ~ spl4_16
| ~ spl4_18 ),
inference(sat_conversion,[],[f155]) ).
cnf(s19,plain,
( ~ spl4_7
| spl4_22 ),
inference(sat_conversion,[],[f198]) ).
cnf(s175,plain,
( ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_17
| spl4_18
| ~ spl4_22 ),
inference(sat_conversion,[],[f3422]) ).
cnf(s182,plain,
spl4_9,
inference(rat,[],[s9,s5]) ).
cnf(s183,plain,
spl4_8,
inference(rat,[],[s8,s5]) ).
cnf(s188,plain,
spl4_17,
inference(rat,[],[s14,s182]) ).
cnf(s189,plain,
spl4_16,
inference(rat,[],[s13,s183]) ).
cnf(s218,plain,
spl4_6,
inference(rat,[],[s6,s5,s2]) ).
cnf(s221,plain,
spl4_7,
inference(rat,[],[s7,s218]) ).
cnf(s224,plain,
spl4_22,
inference(rat,[],[s19,s221]) ).
cnf(s225,plain,
spl4_18,
inference(rat,[],[s175,s3,s4,s188,s5,s224]) ).
cnf(s226,plain,
spl4_1,
inference(rat,[],[s15,s189,s225]) ).
cnf(s227,plain,
$false,
inference(rat,[],[s1,s226]) ).
fof(f3423,plain,
$false,
inference(avatar_sat_refutation,[],[s227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL180-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 15:30:46 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 6.30/1.94 % (3713648)Input is clausal, will run a generic CNF schedule.
% 6.30/1.94 % (3713765)lrs+10_1_sil=8000:sp=occurrence:random_seed=3005657289:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.30/1.94 % (3713764)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=309741295:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.30/1.94 % (3713762)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=532615715:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.30/1.94 % (3713763)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1334334603:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.30/1.94 % (3713766)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=573045831:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.30/1.94 % (3713767)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1930416050:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.30/1.94 % (3713768)dis-21_1_sil=8000:lcm=predicate:random_seed=541071942: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)
% 6.30/1.94 % (3713765)Instruction limit reached!
% 6.30/1.94 % (3713765)------------------------------
% 6.30/1.94 % (3713765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.94 % (3713765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.94 % (3713765)CaDiCaL version: 2.1.3
% 6.30/1.94 % (3713765)Termination reason: Instruction limit
% 6.30/1.94 % (3713765)Termination phase: Saturation
% 6.30/1.94 % (3713765)Time elapsed: 0.039 s
% 6.30/1.94 % (3713765)Peak memory usage: 89 MB
% 6.30/1.94 % (3713765)Instructions burned: 109 (million)
% 6.30/1.94 % (3713768)Instruction limit reached!
% 6.30/1.94 % (3713768)------------------------------
% 6.30/1.94 % (3713768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.94 % (3713768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.94 % (3713768)CaDiCaL version: 2.1.3
% 6.30/1.94 % (3713768)Termination reason: Instruction limit
% 6.30/1.94 % (3713768)Termination phase: Saturation
% 6.30/1.94 % (3713768)Time elapsed: 0.059 s
% 6.30/1.94 % (3713768)Peak memory usage: 88 MB
% 6.30/1.94 % (3713768)Instructions burned: 118 (million)
% 6.30/1.94 % (3713766)Instruction limit reached!
% 6.30/1.94 % (3713766)------------------------------
% 6.30/1.94 % (3713766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.94 % (3713766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.94 % (3713766)CaDiCaL version: 2.1.3
% 6.30/1.94 % (3713766)Termination reason: Instruction limit
% 6.30/1.94 % (3713766)Termination phase: Saturation
% 6.30/1.94 % (3713766)Time elapsed: 0.063 s
% 6.30/1.94 % (3713766)Peak memory usage: 87 MB
% 6.30/1.94 % (3713766)Instructions burned: 116 (million)
% 6.30/1.94 % (3713776)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=1227304037:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.30/1.94 % (3713776)Refutation not found, incomplete strategy
% 6.30/1.94 % (3713776)------------------------------
% 6.30/1.94 % (3713776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.94 % (3713776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.94 % (3713776)CaDiCaL version: 2.1.3
% 6.30/1.94 % (3713776)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.94 % (3713776)Time elapsed: 0.001 s
% 6.30/1.94 % (3713776)Peak memory usage: 88 MB
% 6.30/1.94 % (3713767)Instruction limit reached!
% 6.30/1.94 % (3713767)------------------------------
% 6.30/1.94 % (3713767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.94 % (3713767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.94 % (3713767)CaDiCaL version: 2.1.3
% 6.30/1.94 % (3713767)Termination reason: Instruction limit
% 6.30/1.94 % (3713767)Termination phase: Saturation
% 6.30/1.94 % (3713767)Time elapsed: 0.124 s
% 6.30/1.94 % (3713767)Peak memory usage: 89 MB
% 6.30/1.94 % (3713767)Instructions burned: 180 (million)
% 6.30/1.94 % (3713777)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3228001013: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)
% 6.30/1.94 % (3713778)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1039154035:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.30/1.94 % (3713777)Refutation not found, incomplete strategy
% 6.30/1.94 % (3713777)------------------------------
% 6.30/1.94 % (3713777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.94 % (3713777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.94 % (3713777)CaDiCaL version: 2.1.3
% 6.30/1.94 % (3713777)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.94 % (3713777)Time elapsed: 0.001 s
% 6.30/1.94 % (3713778)Refutation not found, incomplete strategy
% 6.30/1.94 % (3713778)------------------------------
% 6.30/1.94 % (3713778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.94 % (3713777)Peak memory usage: 87 MB
% 6.30/1.94 % (3713778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.94 % (3713778)CaDiCaL version: 2.1.3
% 6.30/1.94 % (3713778)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.94 % (3713778)Time elapsed: 0.001 s
% 6.30/1.94 % (3713778)Peak memory usage: 87 MB
% 6.30/1.94 % (3713776)------------------------------
% 6.30/1.94 % (3713776)------------------------------
% 6.30/1.94 % (3713780)lrs+10_64_to=lpo:sil=8000:random_seed=1721591521:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.30/1.94 % (3713780)Instruction limit reached!
% 6.30/1.94 % (3713780)------------------------------
% 6.30/1.94 % (3713780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.94 % (3713780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.94 % (3713780)CaDiCaL version: 2.1.3
% 6.30/1.94 % (3713780)Termination reason: Instruction limit
% 6.30/1.94 % (3713780)Termination phase: Saturation
% 6.30/1.94 % (3713780)Time elapsed: 0.073 s
% 6.30/1.94 % (3713780)Peak memory usage: 89 MB
% 6.30/1.94 % (3713780)Instructions burned: 127 (million)
% 6.30/1.94 % (3713783)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2521671858:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.30/1.94 % (3713783)Instruction limit reached!
% 6.30/1.94 % (3713783)------------------------------
% 6.30/1.94 % (3713783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.94 % (3713783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.94 % (3713783)CaDiCaL version: 2.1.3
% 6.30/1.94 % (3713783)Termination reason: Instruction limit
% 6.30/1.94 % (3713783)Termination phase: Saturation
% 6.30/1.94 % (3713783)Time elapsed: 0.067 s
% 6.30/1.94 % (3713783)Peak memory usage: 90 MB
% 6.30/1.94 % (3713783)Instructions burned: 195 (million)
% 6.30/1.94 % (3713778)------------------------------
% 6.30/1.94 % (3713778)------------------------------
% 6.30/1.94 % (3713777)------------------------------
% 6.30/1.94 % (3713777)------------------------------
% 6.30/1.94 % (3713785)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3499927968:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.30/1.94 % (3713787)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2582671104:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.30/1.94 % (3713785)First to succeed.
% 6.30/1.94 % (3713785)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3713648"
% 6.30/1.94 % (3713788)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=1934546305:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.30/1.94 % (3713789)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2281820969:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.30/1.94 % (3713789)Refutation not found, incomplete strategy
% 6.30/1.94 % (3713789)------------------------------
% 6.30/1.94 % (3713789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.94 % (3713789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.94 % (3713789)CaDiCaL version: 2.1.3
% 6.30/1.94 % (3713789)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.94 % (3713789)Time elapsed: 0.001 s
% 6.30/1.94 % (3713789)Peak memory usage: 87 MB
% 6.30/1.94 % (3713762)Also succeeded, but the first one will report.
% 6.30/1.94 % (3713763)Also succeeded, but the first one will report.
% 6.30/1.94 % (3713788)Instruction limit reached!
% 6.30/1.94 % (3713788)------------------------------
% 6.30/1.94 % (3713788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.94 % (3713788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.94 % (3713788)CaDiCaL version: 2.1.3
% 6.30/1.94 % (3713788)Termination reason: Instruction limit
% 6.30/1.94 % (3713788)Termination phase: Saturation
% 6.30/1.94 % (3713788)Time elapsed: 0.059 s
% 6.30/1.94 % (3713788)Peak memory usage: 88 MB
% 6.30/1.94 % (3713788)Instructions burned: 106 (million)
% 6.30/1.94 % (3713794)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1606416644:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 6.30/1.94 % (3713785)Refutation found. Thanks to Tanya!
% 6.30/1.94 % SZS status Unsatisfiable for theBenchmark
% 6.30/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 8.02/2.07 % (3713785)------------------------------
% 8.02/2.07 % (3713785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/2.07 % (3713785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/2.07 % (3713785)CaDiCaL version: 2.1.3
% 8.02/2.07 % (3713785)Termination reason: Refutation
% 8.02/2.07 % (3713785)Time elapsed: 0.098 s
% 8.02/2.07 % (3713785)Peak memory usage: 91 MB
% 8.02/2.07 % (3713785)Instructions burned: 140 (million)
% 8.02/2.07 % (3713785)------------------------------
% 8.02/2.07 % (3713785)------------------------------
% 8.02/2.07 % (3713648)Success in time 1.054 s
% 8.02/2.07 % Vampire exiting
%------------------------------------------------------------------------------