%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL085-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:51:09 AM UTC 2026
% Result : Unsatisfiable 17.62s 3.82s
% Output : Refutation 21.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 12
% Syntax : Number of formulae : 91 ( 19 unt; 9 def)
% Number of atoms : 290 ( 6 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 390 ( 191 ~; 193 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 187 ( 0 sgn 187 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_5) ).
fof(f4,definition,
sF0 = implies(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
implies(a,b) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = implies(sF0,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
implies(sF0,b) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = implies(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
implies(a,sF1) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,plain,
~ is_a_theorem(sF2),
inference(definition_folding,[],[f3,f9,f7,f5]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X3,X0)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f1,f2]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X3,X0)) ),
inference(resolution,[],[f11,f1]) ).
fof(f71,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X1,X4),X2))
| is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f12,f11]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X4,implies(X2,X5)),implies(implies(X1,X2),implies(X3,X2))))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[],[f71,f2]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X3,X4),implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(implies(X2,X5),X4)) ),
inference(resolution,[],[f71,f11]) ).
fof(f98,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(resolution,[],[f93,f2]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
inference(resolution,[],[f98,f1]) ).
fof(f120,definition,
( spl3_16
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition]) ).
fof(f121,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,definition,
( spl3_17
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition]) ).
fof(f124,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f125,plain,
( spl3_16
| spl3_17 ),
inference(avatar_split_clause,[],[f109,f123,f120]) ).
fof(f126,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,X2))))
| ~ spl3_16 ),
inference(resolution,[],[f121,f93]) ).
fof(f129,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(X2,X0)) )
| ~ spl3_16 ),
inference(resolution,[],[f121,f1]) ).
fof(f136,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X2,X2))) )
| ~ spl3_16 ),
inference(resolution,[],[f126,f1]) ).
fof(f144,definition,
( spl3_18
<=> ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(X2,X2))) ),
introduced(definition,[new_symbols(definition,[spl3_18])],[avatar_definition]) ).
fof(f145,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(X2,X2)))
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( spl3_18
| spl3_17
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f136,f120,f123,f144]) ).
fof(f147,plain,
( $false
| ~ spl3_17 ),
inference(resolution,[],[f124,f2]) ).
fof(f155,plain,
~ spl3_17,
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f165,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl3_16
| ~ spl3_18 ),
inference(resolution,[],[f129,f145]) ).
fof(f171,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X1)) )
| ~ spl3_16
| ~ spl3_18 ),
inference(resolution,[],[f165,f1]) ).
fof(f177,definition,
( spl3_19
<=> ! [X1] : is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[spl3_19])],[avatar_definition]) ).
fof(f178,plain,
( ! [X1] : is_a_theorem(implies(X1,X1))
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f179,plain,
( spl3_19
| spl3_17
| ~ spl3_16
| ~ spl3_18 ),
inference(avatar_split_clause,[],[f171,f144,f120,f123,f177]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(implies(implies(X3,X2),X4),X1)) ),
inference(resolution,[],[f94,f2]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(X3,X1),implies(X0,X1))) ),
inference(resolution,[],[f285,f1]) ).
fof(f329,definition,
( spl3_30
<=> ! [X0,X3,X2,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| is_a_theorem(implies(implies(X3,X1),implies(X0,X1))) ) ),
introduced(definition,[new_symbols(definition,[spl3_30])],[avatar_definition]) ).
fof(f330,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,X1),implies(X0,X1)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3)) )
| ~ spl3_30 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( spl3_17
| spl3_30 ),
inference(avatar_split_clause,[],[f310,f329,f123]) ).
fof(f339,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| ~ is_a_theorem(implies(implies(X0,X1),X3))
| is_a_theorem(implies(X4,X3)) )
| ~ spl3_30 ),
inference(resolution,[],[f330,f12]) ).
fof(f340,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl3_30 ),
inference(resolution,[],[f330,f1]) ).
fof(f352,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) )
| ~ spl3_16
| ~ spl3_30 ),
inference(resolution,[],[f340,f121]) ).
fof(f363,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl3_19
| ~ spl3_30 ),
inference(resolution,[],[f340,f178]) ).
fof(f373,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))
| ~ spl3_16
| ~ spl3_30 ),
inference(resolution,[],[f352,f2]) ).
fof(f385,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ spl3_16
| ~ spl3_19
| ~ spl3_30 ),
inference(resolution,[],[f352,f178]) ).
fof(f451,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_19
| ~ spl3_30 ),
inference(resolution,[],[f363,f11]) ).
fof(f929,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X3,X5),implies(X0,X1)))
| is_a_theorem(implies(X4,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) )
| ~ spl3_30 ),
inference(resolution,[],[f339,f11]) ).
fof(f982,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X3,X4),implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(implies(X4,X5),X2)) )
| ~ spl3_30 ),
inference(resolution,[],[f929,f11]) ).
fof(f1009,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(implies(X1,X4),implies(X3,X2))) )
| ~ spl3_30 ),
inference(resolution,[],[f982,f2]) ).
fof(f1055,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X3),implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) )
| ~ spl3_19
| ~ spl3_30 ),
inference(resolution,[],[f1009,f451]) ).
fof(f1102,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| ~ is_a_theorem(implies(X0,X3))
| is_a_theorem(implies(X2,X3)) )
| ~ spl3_19
| ~ spl3_30 ),
inference(resolution,[],[f1055,f1]) ).
fof(f1123,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X3),X2),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_16
| ~ spl3_19
| ~ spl3_30 ),
inference(resolution,[],[f1102,f373]) ).
fof(f1125,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) )
| ~ spl3_16
| ~ spl3_19
| ~ spl3_30 ),
inference(resolution,[],[f1102,f385]) ).
fof(f1145,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,X1)) )
| ~ spl3_16
| ~ spl3_19
| ~ spl3_30 ),
inference(resolution,[],[f1125,f1]) ).
fof(f1179,definition,
( spl3_50
<=> ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl3_50])],[avatar_definition]) ).
fof(f1180,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl3_50 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1181,plain,
( spl3_17
| spl3_50
| ~ spl3_16
| ~ spl3_19
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f1145,f329,f177,f120,f1179,f123]) ).
fof(f1202,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(implies(X1,X2),X0)) )
| ~ spl3_50 ),
inference(resolution,[],[f1180,f11]) ).
fof(f1253,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(X0) )
| ~ spl3_50 ),
inference(resolution,[],[f1202,f1]) ).
fof(f1358,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))
| is_a_theorem(implies(X1,X3)) )
| ~ spl3_50 ),
inference(resolution,[],[f1253,f2]) ).
fof(f1375,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) )
| ~ spl3_16
| ~ spl3_18
| ~ spl3_50 ),
inference(resolution,[],[f1253,f165]) ).
fof(f1458,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,X3)) )
| ~ spl3_16
| ~ spl3_19
| ~ spl3_30 ),
inference(resolution,[],[f1123,f340]) ).
fof(f1582,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(resolution,[],[f1375,f1123]) ).
fof(f2476,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X1,X2),X0),X1)))
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(resolution,[],[f1582,f2]) ).
fof(f2497,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X0),X2))
| is_a_theorem(implies(X3,X2)) )
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(resolution,[],[f2476,f12]) ).
fof(f2563,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))))
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(resolution,[],[f2497,f2]) ).
fof(f2627,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))))
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(resolution,[],[f2563,f1358]) ).
fof(f3103,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(resolution,[],[f2627,f1180]) ).
fof(f8129,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(resolution,[],[f1458,f3103]) ).
fof(f8849,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(resolution,[],[f8129,f373]) ).
fof(f8979,plain,
( is_a_theorem(implies(a,implies(sF0,b)))
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(superposition,[],[f8849,f5]) ).
fof(f8981,plain,
( is_a_theorem(implies(a,sF1))
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(forward_demodulation,[],[f8979,f7]) ).
fof(f8982,plain,
( is_a_theorem(sF2)
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(forward_demodulation,[],[f8981,f9]) ).
fof(f8983,plain,
( $false
| ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(forward_subsumption_resolution,[],[f8982,f10]) ).
fof(f8984,plain,
( ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(avatar_contradiction_clause,[],[f8983]) ).
cnf(s9,plain,
( spl3_16
| spl3_17 ),
inference(sat_conversion,[],[f125]) ).
cnf(s10,plain,
( ~ spl3_16
| spl3_17
| spl3_18 ),
inference(sat_conversion,[],[f146]) ).
cnf(s14,plain,
~ spl3_17,
inference(sat_conversion,[],[f155]) ).
cnf(s15,plain,
( ~ spl3_16
| spl3_17
| ~ spl3_18
| spl3_19 ),
inference(sat_conversion,[],[f179]) ).
cnf(s26,plain,
( spl3_17
| spl3_30 ),
inference(sat_conversion,[],[f331]) ).
cnf(s51,plain,
( ~ spl3_16
| spl3_17
| ~ spl3_19
| ~ spl3_30
| spl3_50 ),
inference(sat_conversion,[],[f1181]) ).
cnf(s142,plain,
( ~ spl3_16
| ~ spl3_18
| ~ spl3_19
| ~ spl3_30
| ~ spl3_50 ),
inference(sat_conversion,[],[f8984]) ).
cnf(s143,plain,
spl3_30,
inference(rat,[],[s26,s14]) ).
cnf(s154,plain,
( ~ spl3_16
| spl3_18 ),
inference(rat,[],[s10,s14]) ).
cnf(s155,plain,
spl3_16,
inference(rat,[],[s9,s14]) ).
cnf(s159,plain,
spl3_18,
inference(rat,[],[s154,s155]) ).
cnf(s162,plain,
spl3_19,
inference(rat,[],[s15,s155,s14,s159]) ).
cnf(s172,plain,
spl3_50,
inference(rat,[],[s51,s155,s143,s14,s162]) ).
cnf(s173,plain,
$false,
inference(rat,[],[s142,s159,s143,s155,s172,s162]) ).
fof(f8985,plain,
$false,
inference(avatar_sat_refutation,[],[s173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL085-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n005.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
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 15:21:16 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 19.07/3.61 % (4126301)Input is clausal, will run a generic CNF schedule.
% 19.07/3.61 % (4126311)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1270580597:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 19.07/3.61 % (4126307)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1593123831:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 19.07/3.61 % (4126308)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1090636335:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 19.07/3.61 % (4126306)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=590282693:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 19.07/3.61 % (4126309)lrs+10_1_sil=8000:sp=occurrence:random_seed=2657661779:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 19.07/3.61 % (4126310)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3412633540:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 19.07/3.61 % (4126312)dis-21_1_sil=8000:lcm=predicate:random_seed=3760843823: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)
% 19.07/3.61 % (4126311)Instruction limit reached!
% 19.07/3.61 % (4126311)------------------------------
% 19.07/3.61 % (4126311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.61 % (4126311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.61 % (4126311)CaDiCaL version: 2.1.3
% 19.07/3.61 % (4126311)Termination reason: Instruction limit
% 19.07/3.61 % (4126311)Termination phase: Saturation
% 19.07/3.61 % (4126311)Time elapsed: 0.102 s
% 19.07/3.61 % (4126311)Peak memory usage: 89 MB
% 19.07/3.61 % (4126311)Instructions burned: 181 (million)
% 19.07/3.61 % (4126309)Instruction limit reached!
% 19.07/3.61 % (4126309)------------------------------
% 19.07/3.61 % (4126309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.61 % (4126309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.61 % (4126309)CaDiCaL version: 2.1.3
% 19.07/3.61 % (4126309)Termination reason: Instruction limit
% 19.07/3.61 % (4126309)Termination phase: Saturation
% 19.07/3.61 % (4126309)Time elapsed: 0.103 s
% 19.07/3.61 % (4126309)Peak memory usage: 88 MB
% 19.07/3.61 % (4126309)Instructions burned: 107 (million)
% 19.07/3.61 % (4126310)Instruction limit reached!
% 19.07/3.61 % (4126310)------------------------------
% 19.07/3.61 % (4126310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.61 % (4126310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.61 % (4126310)CaDiCaL version: 2.1.3
% 19.07/3.61 % (4126310)Termination reason: Instruction limit
% 19.07/3.61 % (4126310)Termination phase: Saturation
% 19.07/3.61 % (4126310)Time elapsed: 0.111 s
% 19.07/3.61 % (4126310)Peak memory usage: 88 MB
% 19.07/3.61 % (4126310)Instructions burned: 115 (million)
% 19.07/3.61 % (4126312)Instruction limit reached!
% 19.07/3.61 % (4126312)------------------------------
% 19.07/3.61 % (4126312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.61 % (4126312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.61 % (4126312)CaDiCaL version: 2.1.3
% 19.07/3.61 % (4126312)Termination reason: Instruction limit
% 19.07/3.61 % (4126312)Termination phase: Saturation
% 19.07/3.61 % (4126312)Time elapsed: 0.116 s
% 19.07/3.61 % (4126312)Peak memory usage: 88 MB
% 19.07/3.61 % (4126312)Instructions burned: 117 (million)
% 19.07/3.61 % (4126320)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=2168327307:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 19.07/3.61 % (4126320)Refutation not found, incomplete strategy
% 19.07/3.61 % (4126320)------------------------------
% 19.07/3.61 % (4126320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.61 % (4126320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.61 % (4126320)CaDiCaL version: 2.1.3
% 19.07/3.61 % (4126320)Termination reason: Refutation not found, incomplete strategy
% 19.07/3.61 % (4126320)Time elapsed: 0.001 s
% 19.07/3.61 % (4126320)Peak memory usage: 87 MB
% 19.07/3.61 % (4126321)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3582388377:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 17.62/3.82 % (4126322)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3432490864:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 17.62/3.82 % (4126322)Refutation not found, incomplete strategy
% 17.62/3.82 % (4126322)------------------------------
% 17.62/3.82 % (4126322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.82 % (4126322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.82 % (4126322)CaDiCaL version: 2.1.3
% 17.62/3.82 % (4126322)Termination reason: Refutation not found, incomplete strategy
% 17.62/3.82 % (4126322)Time elapsed: 0.001 s
% 17.62/3.82 % (4126322)Peak memory usage: 87 MB
% 17.62/3.82 % (4126323)lrs+10_64_to=lpo:sil=8000:random_seed=2327245031:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 17.62/3.82 % (4126320)------------------------------
% 17.62/3.82 % (4126320)------------------------------
% 17.62/3.82 % (4126323)Instruction limit reached!
% 17.62/3.82 % (4126323)------------------------------
% 17.62/3.82 % (4126323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.82 % (4126323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.82 % (4126323)CaDiCaL version: 2.1.3
% 17.62/3.82 % (4126323)Termination reason: Instruction limit
% 17.62/3.82 % (4126323)Termination phase: Saturation
% 17.62/3.82 % (4126323)Time elapsed: 0.122 s
% 17.62/3.82 % (4126323)Peak memory usage: 88 MB
% 17.62/3.82 % (4126323)Instructions burned: 127 (million)
% 17.62/3.82 % (4126321)Instruction limit reached!
% 17.62/3.82 % (4126321)------------------------------
% 17.62/3.82 % (4126321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.82 % (4126321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.82 % (4126321)CaDiCaL version: 2.1.3
% 17.62/3.82 % (4126321)Termination reason: Instruction limit
% 17.62/3.82 % (4126321)Termination phase: Saturation
% 17.62/3.82 % (4126321)Time elapsed: 0.152 s
% 17.62/3.82 % (4126321)Peak memory usage: 87 MB
% 17.62/3.82 % (4126321)Instructions burned: 189 (million)
% 17.62/3.82 % (4126328)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3928757087:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 17.62/3.82 % (4126322)------------------------------
% 17.62/3.82 % (4126322)------------------------------
% 17.62/3.82 % (4126329)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3370162089:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 17.62/3.82 % (4126330)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4228963252:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 17.62/3.82 % (4126328)Instruction limit reached!
% 17.62/3.82 % (4126328)------------------------------
% 17.62/3.82 % (4126328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.82 % (4126328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.82 % (4126328)CaDiCaL version: 2.1.3
% 17.62/3.82 % (4126328)Termination reason: Instruction limit
% 17.62/3.82 % (4126328)Termination phase: Saturation
% 17.62/3.82 % (4126328)Time elapsed: 0.111 s
% 17.62/3.82 % (4126328)Peak memory usage: 89 MB
% 17.62/3.82 % (4126328)Instructions burned: 195 (million)
% 17.62/3.82 % (4126329)Instruction limit reached!
% 17.62/3.82 % (4126329)------------------------------
% 17.62/3.82 % (4126329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.82 % (4126329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.82 % (4126329)CaDiCaL version: 2.1.3
% 17.62/3.82 % (4126329)Termination reason: Instruction limit
% 17.62/3.82 % (4126329)Termination phase: Saturation
% 17.62/3.82 % (4126329)Time elapsed: 0.175 s
% 17.62/3.82 % (4126329)Peak memory usage: 90 MB
% 17.62/3.82 % (4126329)Instructions burned: 158 (million)
% 17.62/3.82 % (4126332)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=2625917075:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 17.62/3.82 % (4126335)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1392707026:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 17.62/3.82 % (4126335)Refutation not found, incomplete strategy
% 17.62/3.82 % (4126335)------------------------------
% 17.62/3.82 % (4126335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.82 % (4126335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.82 % (4126335)CaDiCaL version: 2.1.3
% 17.62/3.82 % (4126335)Termination reason: Refutation not found, incomplete strategy
% 17.62/3.82 % (4126335)Time elapsed: 0.001 s
% 17.62/3.82 % (4126335)Peak memory usage: 86 MB
% 17.62/3.82 % (4126332)Instruction limit reached!
% 17.62/3.82 % (4126332)------------------------------
% 17.62/3.82 % (4126332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.82 % (4126332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.82 % (4126332)CaDiCaL version: 2.1.3
% 17.62/3.82 % (4126332)Termination reason: Instruction limit
% 17.62/3.82 % (4126332)Termination phase: Saturation
% 17.62/3.82 % (4126332)Time elapsed: 0.097 s
% 17.62/3.82 % (4126332)Peak memory usage: 88 MB
% 17.62/3.82 % (4126332)Instructions burned: 107 (million)
% 17.62/3.82 % (4126336)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1639392517:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 17.62/3.82 % (4126335)------------------------------
% 17.62/3.82 % (4126335)------------------------------
% 17.62/3.82 % (4126339)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=518898299:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 17.62/3.82 % (4126336)Instruction limit reached!
% 17.62/3.82 % (4126336)------------------------------
% 17.62/3.82 % (4126336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.82 % (4126336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.82 % (4126336)CaDiCaL version: 2.1.3
% 17.62/3.82 % (4126336)Termination reason: Instruction limit
% 17.62/3.82 % (4126336)Termination phase: Saturation
% 17.62/3.82 % (4126336)Time elapsed: 0.233 s
% 17.62/3.82 % (4126336)Peak memory usage: 88 MB
% 17.62/3.82 % (4126336)Instructions burned: 243 (million)
% 17.62/3.82 % (4126341)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1831586348:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 17.62/3.82 % (4126341)Instruction limit reached!
% 17.62/3.82 % (4126341)------------------------------
% 17.62/3.82 % (4126341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.82 % (4126341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.82 % (4126341)CaDiCaL version: 2.1.3
% 17.62/3.82 % (4126341)Termination reason: Instruction limit
% 17.62/3.82 % (4126341)Termination phase: Saturation
% 17.62/3.82 % (4126341)Time elapsed: 0.076 s
% 17.62/3.82 % (4126341)Peak memory usage: 89 MB
% 17.62/3.82 % (4126341)Instructions burned: 135 (million)
% 17.62/3.82 % (4126343)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=276637227:i=499:bd=all_2981 on theBenchmark for (2981ds/499Mi)
% 17.62/3.82 % (4126345)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=396488170:i=191:fgj=on:bd=all_2979 on theBenchmark for (2979ds/191Mi)
% 17.62/3.82 % (4126345)Instruction limit reached!
% 17.62/3.82 % (4126345)------------------------------
% 17.62/3.82 % (4126345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.82 % (4126345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.82 % (4126345)CaDiCaL version: 2.1.3
% 17.62/3.82 % (4126345)Termination reason: Instruction limit
% 17.62/3.82 % (4126345)Termination phase: Saturation
% 17.62/3.82 % (4126345)Time elapsed: 0.099 s
% 17.62/3.82 % (4126345)Peak memory usage: 90 MB
% 17.62/3.82 % (4126345)Instructions burned: 193 (million)
% 17.62/3.82 % (4126308)First to succeed.
% 17.62/3.82 % (4126308)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4126301"
% 17.62/3.82 % (4126343)Instruction limit reached!
% 17.62/3.82 % (4126343)------------------------------
% 17.62/3.82 % (4126343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.82 % (4126343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.82 % (4126343)CaDiCaL version: 2.1.3
% 17.62/3.82 % (4126343)Termination reason: Instruction limit
% 17.62/3.82 % (4126343)Termination phase: Saturation
% 17.62/3.82 % (4126343)Time elapsed: 0.473 s
% 17.62/3.82 % (4126343)Peak memory usage: 91 MB
% 17.62/3.82 % (4126343)Instructions burned: 499 (million)
% 17.62/3.82 % (4126348)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3792872315:i=264:kws=precedence:fsr=off_2975 on theBenchmark for (2975ds/264Mi)
% 17.62/3.82 % (4126348)Instruction limit reached!
% 17.62/3.82 % (4126348)------------------------------
% 17.62/3.82 % (4126348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.82 % (4126348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.82 % (4126348)CaDiCaL version: 2.1.3
% 17.62/3.82 % (4126348)Termination reason: Instruction limit
% 17.62/3.82 % (4126348)Termination phase: Saturation
% 17.62/3.82 % (4126348)Time elapsed: 0.148 s
% 17.62/3.82 % (4126348)Peak memory usage: 90 MB
% 17.62/3.82 % (4126348)Instructions burned: 265 (million)
% 17.62/3.82 % (4126308)Refutation found. Thanks to Tanya!
% 17.62/3.82 % SZS status Unsatisfiable for theBenchmark
% 17.62/3.82 % SZS output start Proof for theBenchmark
% See solution above
% 21.02/4.02 % (4126308)------------------------------
% 21.02/4.02 % (4126308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.02/4.02 % (4126308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/4.02 % (4126308)CaDiCaL version: 2.1.3
% 21.02/4.02 % (4126308)Termination reason: Refutation
% 21.02/4.02 % (4126308)Time elapsed: 2.189 s
% 21.02/4.02 % (4126308)Peak memory usage: 138 MB
% 21.02/4.02 % (4126308)Instructions burned: 2034 (million)
% 21.02/4.02 % (4126308)------------------------------
% 21.02/4.02 % (4126308)------------------------------
% 21.02/4.02 % (4126301)Success in time 2.906 s
% 21.02/4.02 % Vampire exiting
%------------------------------------------------------------------------------