%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL097-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:37:56 AM UTC 2026
% Result : Unsatisfiable 14.90s 2.87s
% Output : Refutation 16.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 42
% Syntax : Number of formulae : 166 ( 17 unt; 15 def)
% Number of atoms : 407 ( 25 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 480 ( 239 ~; 226 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 16 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-3 aty)
% Number of variables : 109 ( 0 sgn 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( ~ member(comb_app(X0,X1),comb)
| member(X1,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_E2) ).
fof(f37,axiom,
! [X0] :
( member(pair(X0,X0),parcontract)
| ~ member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_intros1) ).
fof(f38,axiom,
! [X0,X1] :
( member(pair(comb_app(comb_app(combK,X0),X1),X0),parcontract)
| ~ member(X1,comb)
| ~ member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_intros2) ).
fof(f39,axiom,
! [X2,X0,X1] :
( member(pair(comb_app(comb_app(comb_app(combS,X0),X1),X2),comb_app(comb_app(X0,X2),comb_app(X1,X2))),parcontract)
| ~ member(X1,comb)
| ~ member(X2,comb)
| ~ member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_intros3) ).
fof(f40,axiom,
! [X2,X3,X0,X1] :
( member(pair(comb_app(X0,X2),comb_app(X1,X3)),parcontract)
| ~ member(pair(X2,X3),parcontract)
| ~ member(pair(X0,X1),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_intros4) ).
fof(f47,axiom,
! [X2,X0,X1] :
( ~ member(pair(comb_app(X0,X1),X2),parcontract)
| ap_parcontractE_c1(X0,X1,X2)
| ap_parcontractE_c2(X0,X1,X2)
| ap_parcontractE_c3(X0,X1,X2)
| ap_parcontractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE1) ).
fof(f49,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c1(X0,X1,X2)
| X2 = comb_app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE3) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ ap_parcontractE_c1(X0,X1,X2)
| comb_app(X0,X1) = X2 ),
inference(reorient_equations,[],[f49]) ).
fof(f53,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c2(X0,X1,X2)
| X0 = comb_app(combK,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE6) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ ap_parcontractE_c2(X0,X1,X2)
| comb_app(combK,X2) = X0 ),
inference(reorient_equations,[],[f53]) ).
fof(f58,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c3(X0,X1,X2)
| X2 = comb_app(comb_app(ap_parcontractE_sk1p(X0,X1,X2),X1),comb_app(ap_parcontractE_sk1q(X0,X1,X2),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE10) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ ap_parcontractE_c3(X0,X1,X2)
| comb_app(comb_app(ap_parcontractE_sk1p(X0,X1,X2),X1),comb_app(ap_parcontractE_sk1q(X0,X1,X2),X1)) = X2 ),
inference(reorient_equations,[],[f58]) ).
fof(f60,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c3(X0,X1,X2)
| X0 = comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE11) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ ap_parcontractE_c3(X0,X1,X2)
| comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)) = X0 ),
inference(reorient_equations,[],[f60]) ).
fof(f62,axiom,
! [X2,X0,X1] :
( member(pair(X0,ap_parcontractE_sk2q(X0,X1,X2)),parcontract)
| ~ ap_parcontractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE12) ).
fof(f63,axiom,
! [X2,X0,X1] :
( member(pair(X1,ap_parcontractE_sk2s(X0,X1,X2)),parcontract)
| ~ ap_parcontractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE13) ).
fof(f64,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c4(X0,X1,X2)
| X2 = comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE14) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ ap_parcontractE_c4(X0,X1,X2)
| comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)) = X2 ),
inference(reorient_equations,[],[f64]) ).
fof(f66,axiom,
! [X0,X1] :
( ~ member(pair(comb_app(combK,X0),X1),parcontract)
| X1 = comb_app(combK,k1_parcontractD_sk1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_parcontractD_1) ).
fof(f67,plain,
! [X0,X1] :
( ~ member(pair(comb_app(combK,X0),X1),parcontract)
| comb_app(combK,k1_parcontractD_sk1(X0,X1)) = X1 ),
inference(reorient_equations,[],[f66]) ).
fof(f68,axiom,
! [X0,X1] :
( ~ member(pair(comb_app(combK,X0),X1),parcontract)
| member(pair(X0,k1_parcontractD_sk1(X0,X1)),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_parcontractD_2) ).
fof(f72,axiom,
! [X2,X0,X1] :
( ~ member(pair(comb_app(comb_app(combS,X0),X1),X2),parcontract)
| X2 = comb_app(comb_app(combS,s2_parcontractD_sk1p(X0,X1,X2)),s2_parcontractD_sk1q(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_parcontractD_1) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ member(pair(comb_app(comb_app(combS,X0),X1),X2),parcontract)
| comb_app(comb_app(combS,s2_parcontractD_sk1p(X0,X1,X2)),s2_parcontractD_sk1q(X0,X1,X2)) = X2 ),
inference(reorient_equations,[],[f72]) ).
fof(f74,axiom,
! [X2,X0,X1] :
( ~ member(pair(comb_app(comb_app(combS,X0),X1),X2),parcontract)
| member(pair(X0,s2_parcontractD_sk1p(X0,X1,X2)),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_parcontractD_2) ).
fof(f75,axiom,
! [X2,X0,X1] :
( ~ member(pair(comb_app(comb_app(combS,X0),X1),X2),parcontract)
| member(pair(X1,s2_parcontractD_sk1q(X0,X1,X2)),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_parcontractD_3) ).
fof(f82,axiom,
! [X0,X1] :
( ~ member(pair(X0,X1),parcontract)
| member(X1,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_combD2) ).
fof(f83,axiom,
member(pair(p,q),parcontract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4h1) ).
fof(f84,axiom,
! [X0] :
( member(pair(q,sk1(X0)),parcontract)
| ~ member(pair(p,X0),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4h2) ).
fof(f85,axiom,
! [X0] :
( member(pair(X0,sk1(X0)),parcontract)
| ~ member(pair(p,X0),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4h3) ).
fof(f86,axiom,
member(pair(r,s),parcontract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4h4) ).
fof(f87,axiom,
! [X0] :
( member(pair(s,sk2(X0)),parcontract)
| ~ member(pair(r,X0),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4h5) ).
fof(f88,axiom,
! [X0] :
( member(pair(X0,sk2(X0)),parcontract)
| ~ member(pair(r,X0),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4h6) ).
fof(f89,negated_conjecture,
member(pair(comb_app(p,r),yp),parcontract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4c1) ).
fof(f90,negated_conjecture,
! [X0] :
( ~ member(pair(comb_app(q,s),X0),parcontract)
| ~ member(pair(yp,X0),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4c2) ).
fof(f114,plain,
( ap_parcontractE_c1(p,r,yp)
| ap_parcontractE_c2(p,r,yp)
| ap_parcontractE_c3(p,r,yp)
| ap_parcontractE_c4(p,r,yp) ),
inference(resolution,[],[f47,f89]) ).
fof(f116,definition,
( spl0_5
<=> ap_parcontractE_c4(p,r,yp) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f118,plain,
( ap_parcontractE_c4(p,r,yp)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f120,definition,
( spl0_6
<=> ap_parcontractE_c3(p,r,yp) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f122,plain,
( ap_parcontractE_c3(p,r,yp)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f124,definition,
( spl0_7
<=> ap_parcontractE_c2(p,r,yp) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f126,plain,
( ap_parcontractE_c2(p,r,yp)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f128,definition,
( spl0_8
<=> ap_parcontractE_c1(p,r,yp) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f130,plain,
( ap_parcontractE_c1(p,r,yp)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f114,f128,f124,f120,f116]) ).
fof(f140,plain,
( ~ member(comb_app(q,s),comb)
| ~ member(pair(yp,comb_app(q,s)),parcontract) ),
inference(resolution,[],[f37,f90]) ).
fof(f144,plain,
~ member(pair(yp,comb_app(q,s)),parcontract),
inference(forward_subsumption_resolution,[],[f140,f82]) ).
fof(f175,plain,
( yp = comb_app(ap_parcontractE_sk2q(p,r,yp),ap_parcontractE_sk2s(p,r,yp))
| ~ spl0_5 ),
inference(resolution,[],[f65,f118]) ).
fof(f203,plain,
member(q,comb),
inference(resolution,[],[f82,f83]) ).
fof(f205,plain,
member(s,comb),
inference(resolution,[],[f82,f86]) ).
fof(f240,plain,
! [X0,X1] :
( ~ member(pair(yp,comb_app(X1,X0)),parcontract)
| ~ member(pair(q,X1),parcontract)
| ~ member(pair(s,X0),parcontract) ),
inference(resolution,[],[f40,f90]) ).
fof(f242,plain,
( ! [X0,X1] :
( ~ member(pair(ap_parcontractE_sk2s(p,r,yp),X1),parcontract)
| member(pair(yp,comb_app(X0,X1)),parcontract)
| ~ member(pair(ap_parcontractE_sk2q(p,r,yp),X0),parcontract) )
| ~ spl0_5 ),
inference(superposition,[],[f40,f175]) ).
fof(f264,plain,
( ! [X0] :
( member(pair(yp,comb_app(X0,sk2(ap_parcontractE_sk2s(p,r,yp)))),parcontract)
| ~ member(pair(ap_parcontractE_sk2q(p,r,yp),X0),parcontract)
| ~ member(pair(r,ap_parcontractE_sk2s(p,r,yp)),parcontract) )
| ~ spl0_5 ),
inference(resolution,[],[f242,f88]) ).
fof(f266,definition,
( spl0_16
<=> member(pair(r,ap_parcontractE_sk2s(p,r,yp)),parcontract) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f267,plain,
( member(pair(r,ap_parcontractE_sk2s(p,r,yp)),parcontract)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f268,plain,
( ~ member(pair(r,ap_parcontractE_sk2s(p,r,yp)),parcontract)
| spl0_16 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f270,definition,
( spl0_17
<=> ! [X0] :
( member(pair(yp,comb_app(X0,sk2(ap_parcontractE_sk2s(p,r,yp)))),parcontract)
| ~ member(pair(ap_parcontractE_sk2q(p,r,yp),X0),parcontract) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f271,plain,
( ! [X0] :
( member(pair(yp,comb_app(X0,sk2(ap_parcontractE_sk2s(p,r,yp)))),parcontract)
| ~ member(pair(ap_parcontractE_sk2q(p,r,yp),X0),parcontract) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f272,plain,
( ~ spl0_16
| spl0_17
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f264,f116,f270,f266]) ).
fof(f458,plain,
( ~ ap_parcontractE_c4(p,r,yp)
| spl0_16 ),
inference(resolution,[],[f268,f63]) ).
fof(f862,plain,
( p = comb_app(combK,yp)
| ~ spl0_7 ),
inference(resolution,[],[f126,f54]) ).
fof(f867,plain,
( ! [X0] :
( ~ member(pair(p,X0),parcontract)
| comb_app(combK,k1_parcontractD_sk1(yp,X0)) = X0 )
| ~ spl0_7 ),
inference(superposition,[],[f67,f862]) ).
fof(f894,plain,
( q = comb_app(combK,k1_parcontractD_sk1(yp,q))
| ~ spl0_7 ),
inference(resolution,[],[f867,f83]) ).
fof(f933,plain,
( ! [X0] :
( member(pair(comb_app(q,X0),k1_parcontractD_sk1(yp,q)),parcontract)
| ~ member(X0,comb)
| ~ member(k1_parcontractD_sk1(yp,q),comb) )
| ~ spl0_7 ),
inference(superposition,[],[f38,f894]) ).
fof(f941,plain,
( ~ member(q,comb)
| member(k1_parcontractD_sk1(yp,q),comb)
| ~ spl0_7 ),
inference(superposition,[],[f8,f894]) ).
fof(f957,plain,
( member(k1_parcontractD_sk1(yp,q),comb)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f941,f203]) ).
fof(f959,definition,
( spl0_87
<=> member(k1_parcontractD_sk1(yp,q),comb) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f963,definition,
( spl0_88
<=> ! [X0] :
( member(pair(comb_app(q,X0),k1_parcontractD_sk1(yp,q)),parcontract)
| ~ member(X0,comb) ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f964,plain,
( ! [X0] :
( member(pair(comb_app(q,X0),k1_parcontractD_sk1(yp,q)),parcontract)
| ~ member(X0,comb) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f965,plain,
( ~ spl0_87
| spl0_88
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f933,f124,f963,f959]) ).
fof(f983,plain,
( spl0_87
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f957,f124,f959]) ).
fof(f985,plain,
( p = comb_app(comb_app(combS,ap_parcontractE_sk1p(p,r,yp)),ap_parcontractE_sk1q(p,r,yp))
| ~ spl0_6 ),
inference(resolution,[],[f122,f61]) ).
fof(f987,plain,
( ! [X0] :
( ~ member(pair(p,X0),parcontract)
| comb_app(comb_app(combS,s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),X0)),s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),X0)) = X0 )
| ~ spl0_6 ),
inference(superposition,[],[f73,f985]) ).
fof(f1334,plain,
( q = comb_app(comb_app(combS,s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q)),s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q))
| ~ spl0_6 ),
inference(resolution,[],[f987,f83]) ).
fof(f1369,plain,
( ! [X0] :
( member(pair(comb_app(q,X0),comb_app(comb_app(s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),X0),comb_app(s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),X0))),parcontract)
| ~ member(s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),comb)
| ~ member(X0,comb)
| ~ member(s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),comb) )
| ~ spl0_6 ),
inference(superposition,[],[f39,f1334]) ).
fof(f1386,plain,
( ~ member(q,comb)
| member(s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),comb)
| ~ spl0_6 ),
inference(superposition,[],[f8,f1334]) ).
fof(f1427,definition,
( spl0_148
<=> member(s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),comb) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f1446,plain,
( member(s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),comb)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1386,f203]) ).
fof(f1450,definition,
( spl0_153
<=> member(s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),comb) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f1452,plain,
( ~ member(s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),comb)
| spl0_153 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f1454,definition,
( spl0_154
<=> ! [X0] :
( member(pair(comb_app(q,X0),comb_app(comb_app(s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),X0),comb_app(s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),X0))),parcontract)
| ~ member(X0,comb) ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f1455,plain,
( ! [X0] :
( member(pair(comb_app(q,X0),comb_app(comb_app(s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),X0),comb_app(s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),X0))),parcontract)
| ~ member(X0,comb) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1456,plain,
( ~ spl0_153
| ~ spl0_148
| spl0_154
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1369,f120,f1454,f1427,f1450]) ).
fof(f1457,plain,
( spl0_148
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1446,f120,f1427]) ).
fof(f1612,plain,
( yp = comb_app(comb_app(ap_parcontractE_sk1p(p,r,yp),r),comb_app(ap_parcontractE_sk1q(p,r,yp),r))
| ~ spl0_6 ),
inference(resolution,[],[f122,f59]) ).
fof(f1613,plain,
( p = comb_app(comb_app(combS,ap_parcontractE_sk1p(p,r,yp)),ap_parcontractE_sk1q(p,r,yp))
| ~ spl0_6 ),
inference(resolution,[],[f122,f61]) ).
fof(f1616,plain,
( ! [X0] :
( member(pair(ap_parcontractE_sk1p(p,r,yp),s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),X0)),parcontract)
| ~ member(pair(p,X0),parcontract) )
| ~ spl0_6 ),
inference(superposition,[],[f74,f1613]) ).
fof(f1617,plain,
( ! [X0] :
( member(pair(ap_parcontractE_sk1q(p,r,yp),s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),X0)),parcontract)
| ~ member(pair(p,X0),parcontract) )
| ~ spl0_6 ),
inference(superposition,[],[f75,f1613]) ).
fof(f1661,plain,
( ! [X0,X1] :
( ~ member(pair(comb_app(ap_parcontractE_sk1q(p,r,yp),r),X1),parcontract)
| member(pair(yp,comb_app(X0,X1)),parcontract)
| ~ member(pair(comb_app(ap_parcontractE_sk1p(p,r,yp),r),X0),parcontract) )
| ~ spl0_6 ),
inference(superposition,[],[f40,f1612]) ).
fof(f1668,plain,
( ! [X2,X0,X1] :
( ~ member(pair(comb_app(ap_parcontractE_sk1p(p,r,yp),r),X0),parcontract)
| member(pair(yp,comb_app(X0,comb_app(X1,X2))),parcontract)
| ~ member(pair(r,X2),parcontract)
| ~ member(pair(ap_parcontractE_sk1q(p,r,yp),X1),parcontract) )
| ~ spl0_6 ),
inference(resolution,[],[f1661,f40]) ).
fof(f1682,plain,
( ! [X2,X3,X0,X1] :
( member(pair(yp,comb_app(comb_app(X0,X1),comb_app(X2,X3))),parcontract)
| ~ member(pair(r,X3),parcontract)
| ~ member(pair(ap_parcontractE_sk1q(p,r,yp),X2),parcontract)
| ~ member(pair(r,X1),parcontract)
| ~ member(pair(ap_parcontractE_sk1p(p,r,yp),X0),parcontract) )
| ~ spl0_6 ),
inference(resolution,[],[f1668,f40]) ).
fof(f1746,plain,
( ~ member(s,comb)
| ~ member(pair(yp,k1_parcontractD_sk1(yp,q)),parcontract)
| ~ spl0_88 ),
inference(resolution,[],[f964,f90]) ).
fof(f1749,plain,
( ~ member(pair(yp,k1_parcontractD_sk1(yp,q)),parcontract)
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f1746,f205]) ).
fof(f2022,plain,
( ! [X0] :
( member(s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),X0),comb)
| ~ member(pair(p,X0),parcontract) )
| ~ spl0_6 ),
inference(resolution,[],[f1616,f82]) ).
fof(f2060,plain,
( ~ member(pair(p,q),parcontract)
| ~ spl0_6
| spl0_153 ),
inference(resolution,[],[f1452,f2022]) ).
fof(f2061,plain,
( $false
| ~ spl0_6
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f2060,f83]) ).
fof(f2062,plain,
( ~ spl0_6
| spl0_153 ),
inference(avatar_contradiction_clause,[],[f2061]) ).
fof(f3006,plain,
( ~ member(s,comb)
| ~ member(pair(yp,comb_app(comb_app(s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),s),comb_app(s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),s))),parcontract)
| ~ spl0_154 ),
inference(resolution,[],[f1455,f90]) ).
fof(f3009,plain,
( ~ member(pair(yp,comb_app(comb_app(s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),s),comb_app(s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),s))),parcontract)
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f3006,f205]) ).
fof(f3010,plain,
( ~ member(pair(r,s),parcontract)
| ~ member(pair(ap_parcontractE_sk1q(p,r,yp),s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q)),parcontract)
| ~ member(pair(r,s),parcontract)
| ~ member(pair(ap_parcontractE_sk1p(p,r,yp),s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q)),parcontract)
| ~ spl0_6
| ~ spl0_154 ),
inference(resolution,[],[f3009,f1682]) ).
fof(f3011,plain,
( ~ member(pair(r,s),parcontract)
| ~ member(pair(ap_parcontractE_sk1q(p,r,yp),s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q)),parcontract)
| ~ member(pair(ap_parcontractE_sk1p(p,r,yp),s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q)),parcontract)
| ~ spl0_6
| ~ spl0_154 ),
inference(duplicate_literal_removal,[],[f3010]) ).
fof(f3012,plain,
( ~ member(pair(ap_parcontractE_sk1q(p,r,yp),s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q)),parcontract)
| ~ member(pair(ap_parcontractE_sk1p(p,r,yp),s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q)),parcontract)
| ~ spl0_6
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f3011,f86]) ).
fof(f3014,definition,
( spl0_262
<=> member(pair(ap_parcontractE_sk1p(p,r,yp),s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q)),parcontract) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
fof(f3016,plain,
( ~ member(pair(ap_parcontractE_sk1p(p,r,yp),s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q)),parcontract)
| spl0_262 ),
inference(avatar_component_clause,[],[f3014]) ).
fof(f3018,definition,
( spl0_263
<=> member(pair(ap_parcontractE_sk1q(p,r,yp),s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q)),parcontract) ),
introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).
fof(f3020,plain,
( ~ member(pair(ap_parcontractE_sk1q(p,r,yp),s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q)),parcontract)
| spl0_263 ),
inference(avatar_component_clause,[],[f3018]) ).
fof(f3021,plain,
( ~ spl0_262
| ~ spl0_263
| ~ spl0_6
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f3012,f1454,f120,f3018,f3014]) ).
fof(f3022,plain,
( ~ member(pair(p,q),parcontract)
| ~ spl0_6
| spl0_262 ),
inference(resolution,[],[f3016,f1616]) ).
fof(f3023,plain,
( $false
| ~ spl0_6
| spl0_262 ),
inference(forward_subsumption_resolution,[],[f3022,f83]) ).
fof(f3024,plain,
( ~ spl0_6
| spl0_262 ),
inference(avatar_contradiction_clause,[],[f3023]) ).
fof(f3027,plain,
( ~ member(pair(p,q),parcontract)
| ~ spl0_6
| spl0_263 ),
inference(resolution,[],[f3020,f1617]) ).
fof(f3028,plain,
( $false
| ~ spl0_6
| spl0_263 ),
inference(forward_subsumption_resolution,[],[f3027,f83]) ).
fof(f3029,plain,
( ~ spl0_6
| spl0_263 ),
inference(avatar_contradiction_clause,[],[f3028]) ).
fof(f3031,plain,
( comb_app(p,r) = yp
| ~ spl0_8 ),
inference(resolution,[],[f130,f50]) ).
fof(f3044,plain,
( ! [X0,X1] :
( member(pair(yp,comb_app(X0,X1)),parcontract)
| ~ member(pair(r,X1),parcontract)
| ~ member(pair(p,X0),parcontract) )
| ~ spl0_8 ),
inference(superposition,[],[f40,f3031]) ).
fof(f3075,plain,
( ~ member(pair(r,s),parcontract)
| ~ member(pair(p,q),parcontract)
| ~ spl0_8 ),
inference(resolution,[],[f3044,f144]) ).
fof(f3079,plain,
( ~ member(pair(p,q),parcontract)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f3075,f86]) ).
fof(f3096,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f3079,f83]) ).
fof(f3097,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f3096]) ).
fof(f3098,plain,
( $false
| ~ spl0_5
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f458,f118]) ).
fof(f3099,plain,
( ~ spl0_5
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f3098]) ).
fof(f3156,plain,
( ! [X0] :
( ~ member(pair(ap_parcontractE_sk2q(p,r,yp),X0),parcontract)
| ~ member(pair(q,X0),parcontract)
| ~ member(pair(s,sk2(ap_parcontractE_sk2s(p,r,yp))),parcontract) )
| ~ spl0_17 ),
inference(resolution,[],[f271,f240]) ).
fof(f3159,definition,
( spl0_278
<=> member(pair(s,sk2(ap_parcontractE_sk2s(p,r,yp))),parcontract) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
fof(f3161,plain,
( ~ member(pair(s,sk2(ap_parcontractE_sk2s(p,r,yp))),parcontract)
| spl0_278 ),
inference(avatar_component_clause,[],[f3159]) ).
fof(f3163,definition,
( spl0_279
<=> ! [X0] :
( ~ member(pair(ap_parcontractE_sk2q(p,r,yp),X0),parcontract)
| ~ member(pair(q,X0),parcontract) ) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
fof(f3164,plain,
( ! [X0] :
( ~ member(pair(ap_parcontractE_sk2q(p,r,yp),X0),parcontract)
| ~ member(pair(q,X0),parcontract) )
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f3163]) ).
fof(f3165,plain,
( ~ spl0_278
| spl0_279
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f3156,f270,f3163,f3159]) ).
fof(f3215,plain,
( ~ member(pair(q,sk1(ap_parcontractE_sk2q(p,r,yp))),parcontract)
| ~ member(pair(p,ap_parcontractE_sk2q(p,r,yp)),parcontract)
| ~ spl0_279 ),
inference(resolution,[],[f3164,f85]) ).
fof(f3226,plain,
( ~ member(pair(p,ap_parcontractE_sk2q(p,r,yp)),parcontract)
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f3215,f84]) ).
fof(f3230,plain,
( ~ ap_parcontractE_c4(p,r,yp)
| ~ spl0_279 ),
inference(resolution,[],[f3226,f62]) ).
fof(f3231,plain,
( $false
| ~ spl0_5
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f3230,f118]) ).
fof(f3232,plain,
( ~ spl0_5
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f3231]) ).
fof(f3636,plain,
( ~ member(pair(r,ap_parcontractE_sk2s(p,r,yp)),parcontract)
| spl0_278 ),
inference(resolution,[],[f3161,f87]) ).
fof(f3637,plain,
( $false
| ~ spl0_16
| spl0_278 ),
inference(forward_subsumption_resolution,[],[f3636,f267]) ).
fof(f3638,plain,
( ~ spl0_16
| spl0_278 ),
inference(avatar_contradiction_clause,[],[f3637]) ).
fof(f3694,plain,
( p = comb_app(combK,yp)
| ~ spl0_7 ),
inference(resolution,[],[f126,f54]) ).
fof(f3697,plain,
( ! [X0] :
( member(pair(yp,k1_parcontractD_sk1(yp,X0)),parcontract)
| ~ member(pair(p,X0),parcontract) )
| ~ spl0_7 ),
inference(superposition,[],[f68,f3694]) ).
fof(f4195,plain,
( ~ member(pair(p,q),parcontract)
| ~ spl0_7
| ~ spl0_88 ),
inference(resolution,[],[f3697,f1749]) ).
fof(f4198,plain,
( $false
| ~ spl0_7
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f4195,f83]) ).
fof(f4199,plain,
( ~ spl0_7
| ~ spl0_88 ),
inference(avatar_contradiction_clause,[],[f4198]) ).
cnf(s5,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f131]) ).
cnf(s9,plain,
( ~ spl0_5
| ~ spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f272]) ).
cnf(s51,plain,
( ~ spl0_7
| ~ spl0_87
| spl0_88 ),
inference(sat_conversion,[],[f965]) ).
cnf(s56,plain,
( ~ spl0_7
| spl0_87 ),
inference(sat_conversion,[],[f983]) ).
cnf(s90,plain,
( ~ spl0_6
| ~ spl0_148
| ~ spl0_153
| spl0_154 ),
inference(sat_conversion,[],[f1456]) ).
cnf(s91,plain,
( ~ spl0_6
| spl0_148 ),
inference(sat_conversion,[],[f1457]) ).
cnf(s116,plain,
( ~ spl0_6
| spl0_153 ),
inference(sat_conversion,[],[f2062]) ).
cnf(s175,plain,
( ~ spl0_6
| ~ spl0_154
| ~ spl0_262
| ~ spl0_263 ),
inference(sat_conversion,[],[f3021]) ).
cnf(s176,plain,
( ~ spl0_6
| spl0_262 ),
inference(sat_conversion,[],[f3024]) ).
cnf(s177,plain,
( ~ spl0_6
| spl0_263 ),
inference(sat_conversion,[],[f3029]) ).
cnf(s181,plain,
~ spl0_8,
inference(sat_conversion,[],[f3097]) ).
cnf(s182,plain,
( ~ spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f3099]) ).
cnf(s190,plain,
( ~ spl0_17
| ~ spl0_278
| spl0_279 ),
inference(sat_conversion,[],[f3165]) ).
cnf(s195,plain,
( ~ spl0_5
| ~ spl0_279 ),
inference(sat_conversion,[],[f3232]) ).
cnf(s208,plain,
( ~ spl0_16
| spl0_278 ),
inference(sat_conversion,[],[f3638]) ).
cnf(s229,plain,
( ~ spl0_7
| ~ spl0_88 ),
inference(sat_conversion,[],[f4199]) ).
cnf(s231,plain,
( spl0_5
| spl0_6
| spl0_7 ),
inference(rat,[],[s5,s181]) ).
cnf(s232,plain,
~ spl0_7,
inference(rat,[],[s51,s56,s229]) ).
cnf(s233,plain,
( ~ spl0_6
| ~ spl0_263
| ~ spl0_262 ),
inference(rat,[],[s90,s91,s116,s175]) ).
cnf(s234,plain,
~ spl0_6,
inference(rat,[],[s233,s176,s177]) ).
cnf(s235,plain,
spl0_5,
inference(rat,[],[s231,s232,s234]) ).
cnf(s236,plain,
~ spl0_279,
inference(rat,[],[s195,s235]) ).
cnf(s239,plain,
spl0_16,
inference(rat,[],[s182,s235]) ).
cnf(s249,plain,
spl0_278,
inference(rat,[],[s208,s239]) ).
cnf(s250,plain,
spl0_17,
inference(rat,[],[s9,s235,s239]) ).
cnf(s252,plain,
$false,
inference(rat,[],[s190,s236,s249,s250]) ).
fof(f4200,plain,
$false,
inference(avatar_sat_refutation,[],[s252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL097-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n016.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 21:39:48 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.24 Running first-order theorem proving
% 0.06/0.24 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
% 10.03/2.08 % (4055056)Input is clausal, will run a generic CNF schedule.
% 10.03/2.08 % (4055062)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=416898996:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.03/2.08 % (4055066)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1422933059:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.03/2.08 % (4055061)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=1105240069:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.03/2.08 % (4055063)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2162052914:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.03/2.08 % (4055064)lrs+10_1_sil=8000:sp=occurrence:random_seed=2082521795:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.03/2.08 % (4055065)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3328347088:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.03/2.08 % (4055067)dis-21_1_sil=8000:lcm=predicate:random_seed=2976907302: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)
% 10.03/2.08 % (4055065)Refutation not found, incomplete strategy
% 10.03/2.08 % (4055065)------------------------------
% 10.03/2.08 % (4055065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.03/2.08 % (4055065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.03/2.08 % (4055065)CaDiCaL version: 2.1.3
% 10.03/2.08 % (4055065)Termination reason: Refutation not found, incomplete strategy
% 10.03/2.08 % (4055065)Time elapsed: 0.004 s
% 10.03/2.08 % (4055065)Peak memory usage: 88 MB
% 10.03/2.08 % (4055065)Instructions burned: 4 (million)
% 10.03/2.08 % (4055064)Instruction limit reached!
% 10.03/2.08 % (4055064)------------------------------
% 10.03/2.08 % (4055064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.03/2.08 % (4055064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.03/2.08 % (4055064)CaDiCaL version: 2.1.3
% 10.03/2.08 % (4055064)Termination reason: Instruction limit
% 10.03/2.08 % (4055064)Termination phase: Saturation
% 10.03/2.08 % (4055064)Time elapsed: 0.060 s
% 10.03/2.08 % (4055064)Peak memory usage: 88 MB
% 10.03/2.08 % (4055064)Instructions burned: 108 (million)
% 10.03/2.08 % (4055067)Instruction limit reached!
% 10.03/2.08 % (4055067)------------------------------
% 10.03/2.08 % (4055067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.03/2.08 % (4055067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.03/2.08 % (4055067)CaDiCaL version: 2.1.3
% 10.03/2.08 % (4055067)Termination reason: Instruction limit
% 10.03/2.08 % (4055067)Termination phase: Saturation
% 10.03/2.08 % (4055067)Time elapsed: 0.070 s
% 10.03/2.08 % (4055067)Peak memory usage: 89 MB
% 10.03/2.08 % (4055067)Instructions burned: 122 (million)
% 10.03/2.08 % (4055066)Instruction limit reached!
% 10.03/2.08 % (4055066)------------------------------
% 10.03/2.08 % (4055066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.03/2.08 % (4055066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.03/2.08 % (4055066)CaDiCaL version: 2.1.3
% 10.03/2.08 % (4055066)Termination reason: Instruction limit
% 10.03/2.08 % (4055066)Termination phase: Saturation
% 10.03/2.08 % (4055066)Time elapsed: 0.111 s
% 10.03/2.08 % (4055066)Peak memory usage: 90 MB
% 10.03/2.08 % (4055066)Instructions burned: 182 (million)
% 10.03/2.08 % (4055075)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=3753997090:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.03/2.08 % (4055075)Refutation not found, incomplete strategy
% 10.03/2.08 % (4055075)------------------------------
% 10.03/2.08 % (4055075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.03/2.08 % (4055075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.03/2.08 % (4055075)CaDiCaL version: 2.1.3
% 10.03/2.08 % (4055075)Termination reason: Refutation not found, incomplete strategy
% 10.03/2.08 % (4055075)Time elapsed: 0.002 s
% 10.03/2.08 % (4055075)Peak memory usage: 88 MB
% 10.03/2.08 % (4055075)Instructions burned: 1 (million)
% 10.03/2.08 % (4055076)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2329652768: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)
% 14.90/2.87 % (4055065)------------------------------
% 14.90/2.87 % (4055065)------------------------------
% 14.90/2.87 % (4055077)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4260446746:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 14.90/2.87 % (4055077)Refutation not found, incomplete strategy
% 14.90/2.87 % (4055077)------------------------------
% 14.90/2.87 % (4055077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055077)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055077)Termination reason: Refutation not found, incomplete strategy
% 14.90/2.87 % (4055077)Time elapsed: 0.004 s
% 14.90/2.87 % (4055077)Peak memory usage: 88 MB
% 14.90/2.87 % (4055077)Instructions burned: 3 (million)
% 14.90/2.87 % (4055076)Instruction limit reached!
% 14.90/2.87 % (4055076)------------------------------
% 14.90/2.87 % (4055076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055076)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055076)Termination reason: Instruction limit
% 14.90/2.87 % (4055076)Termination phase: Saturation
% 14.90/2.87 % (4055076)Time elapsed: 0.093 s
% 14.90/2.87 % (4055076)Peak memory usage: 90 MB
% 14.90/2.87 % (4055076)Instructions burned: 189 (million)
% 14.90/2.87 % (4055080)lrs+10_64_to=lpo:sil=8000:random_seed=1564668493:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 14.90/2.87 % (4055080)Instruction limit reached!
% 14.90/2.87 % (4055080)------------------------------
% 14.90/2.87 % (4055080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055080)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055080)Termination reason: Instruction limit
% 14.90/2.87 % (4055080)Termination phase: Saturation
% 14.90/2.87 % (4055080)Time elapsed: 0.042 s
% 14.90/2.87 % (4055080)Peak memory usage: 89 MB
% 14.90/2.87 % (4055080)Instructions burned: 127 (million)
% 14.90/2.87 % (4055075)------------------------------
% 14.90/2.87 % (4055075)------------------------------
% 14.90/2.87 % (4055082)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=398166962:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 14.90/2.87 % (4055077)------------------------------
% 14.90/2.87 % (4055077)------------------------------
% 14.90/2.87 % (4055084)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3809435203:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 14.90/2.87 % (4055082)Instruction limit reached!
% 14.90/2.87 % (4055082)------------------------------
% 14.90/2.87 % (4055082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055082)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055082)Termination reason: Instruction limit
% 14.90/2.87 % (4055082)Termination phase: Saturation
% 14.90/2.87 % (4055082)Time elapsed: 0.120 s
% 14.90/2.87 % (4055082)Peak memory usage: 90 MB
% 14.90/2.87 % (4055082)Instructions burned: 195 (million)
% 14.90/2.87 % (4055084)Instruction limit reached!
% 14.90/2.87 % (4055084)------------------------------
% 14.90/2.87 % (4055084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055084)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055084)Termination reason: Instruction limit
% 14.90/2.87 % (4055084)Termination phase: Saturation
% 14.90/2.87 % (4055084)Time elapsed: 0.057 s
% 14.90/2.87 % (4055084)Peak memory usage: 91 MB
% 14.90/2.87 % (4055084)Instructions burned: 159 (million)
% 14.90/2.87 % (4055085)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2712810270:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 14.90/2.87 % (4055087)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=3293773735:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 14.90/2.87 % (4055091)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2627794817:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 14.90/2.87 % (4055089)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=303164417:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 14.90/2.87 % (4055087)Instruction limit reached!
% 14.90/2.87 % (4055087)------------------------------
% 14.90/2.87 % (4055087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055087)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055087)Termination reason: Instruction limit
% 14.90/2.87 % (4055087)Termination phase: Saturation
% 14.90/2.87 % (4055087)Time elapsed: 0.053 s
% 14.90/2.87 % (4055087)Peak memory usage: 89 MB
% 14.90/2.87 % (4055087)Instructions burned: 106 (million)
% 14.90/2.87 % (4055089)Instruction limit reached!
% 14.90/2.87 % (4055089)------------------------------
% 14.90/2.87 % (4055089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055089)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055089)Termination reason: Instruction limit
% 14.90/2.87 % (4055089)Termination phase: Saturation
% 14.90/2.87 % (4055089)Time elapsed: 0.065 s
% 14.90/2.87 % (4055089)Peak memory usage: 89 MB
% 14.90/2.87 % (4055089)Instructions burned: 108 (million)
% 14.90/2.87 % (4055091)Instruction limit reached!
% 14.90/2.87 % (4055091)------------------------------
% 14.90/2.87 % (4055091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055091)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055091)Termination reason: Instruction limit
% 14.90/2.87 % (4055091)Termination phase: Saturation
% 14.90/2.87 % (4055091)Time elapsed: 0.073 s
% 14.90/2.87 % (4055091)Peak memory usage: 90 MB
% 14.90/2.87 % (4055091)Instructions burned: 245 (million)
% 14.90/2.87 % (4055095)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3704707625:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 14.90/2.87 % (4055097)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3384678981:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 14.90/2.87 % (4055096)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2834961200:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 14.90/2.87 % (4055096)Refutation not found, incomplete strategy
% 14.90/2.87 % (4055096)------------------------------
% 14.90/2.87 % (4055096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055096)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055096)Termination reason: Refutation not found, incomplete strategy
% 14.90/2.87 % (4055096)Time elapsed: 0.003 s
% 14.90/2.87 % (4055096)Peak memory usage: 88 MB
% 14.90/2.87 % (4055096)Instructions burned: 2 (million)
% 14.90/2.87 % (4055097)Instruction limit reached!
% 14.90/2.87 % (4055097)------------------------------
% 14.90/2.87 % (4055097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055097)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055097)Termination reason: Instruction limit
% 14.90/2.87 % (4055097)Termination phase: Saturation
% 14.90/2.87 % (4055097)Time elapsed: 0.136 s
% 14.90/2.87 % (4055097)Peak memory usage: 101 MB
% 14.90/2.87 % (4055097)Instructions burned: 502 (million)
% 14.90/2.87 % (4055101)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1077855656:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 14.90/2.87 % (4055096)------------------------------
% 14.90/2.87 % (4055096)------------------------------
% 14.90/2.87 % (4055101)Instruction limit reached!
% 14.90/2.87 % (4055101)------------------------------
% 14.90/2.87 % (4055101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055101)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055101)Termination reason: Instruction limit
% 14.90/2.87 % (4055101)Termination phase: Saturation
% 14.90/2.87 % (4055101)Time elapsed: 0.065 s
% 14.90/2.87 % (4055101)Peak memory usage: 90 MB
% 14.90/2.87 % (4055101)Instructions burned: 194 (million)
% 14.90/2.87 % (4055103)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1944928076:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 14.90/2.87 % (4055104)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=358955511:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 14.90/2.87 % (4055104)Instruction limit reached!
% 14.90/2.87 % (4055104)------------------------------
% 14.90/2.87 % (4055104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055104)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055104)Termination reason: Instruction limit
% 14.90/2.87 % (4055104)Termination phase: Saturation
% 14.90/2.87 % (4055104)Time elapsed: 0.052 s
% 14.90/2.87 % (4055104)Peak memory usage: 89 MB
% 14.90/2.87 % (4055104)Instructions burned: 157 (million)
% 14.90/2.87 % (4055103)Instruction limit reached!
% 14.90/2.87 % (4055103)------------------------------
% 14.90/2.87 % (4055103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055103)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055103)Termination reason: Instruction limit
% 14.90/2.87 % (4055103)Termination phase: Saturation
% 14.90/2.87 % (4055103)Time elapsed: 0.148 s
% 14.90/2.87 % (4055103)Peak memory usage: 91 MB
% 14.90/2.87 % (4055103)Instructions burned: 265 (million)
% 14.90/2.87 % (4055107)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=140236825:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 14.90/2.87 % (4055108)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=750088236:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 14.90/2.87 % (4055085)First to succeed.
% 14.90/2.87 % (4055085)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4055056"
% 14.90/2.87 % (4055108)Instruction limit reached!
% 14.90/2.87 % (4055108)------------------------------
% 14.90/2.87 % (4055108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.90/2.87 % (4055108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.90/2.87 % (4055108)CaDiCaL version: 2.1.3
% 14.90/2.87 % (4055108)Termination reason: Instruction limit
% 14.90/2.87 % (4055108)Termination phase: Saturation
% 14.90/2.87 % (4055108)Time elapsed: 0.251 s
% 14.90/2.87 % (4055108)Peak memory usage: 91 MB
% 14.90/2.87 % (4055108)Instructions burned: 537 (million)
% 14.90/2.87 % (4055085)Refutation found. Thanks to Tanya!
% 14.90/2.87 % SZS status Unsatisfiable for theBenchmark
% 14.90/2.87 % SZS output start Proof for theBenchmark
% See solution above
% 16.14/3.06 % (4055085)------------------------------
% 16.14/3.06 % (4055085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.14/3.06 % (4055085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.06 % (4055085)CaDiCaL version: 2.1.3
% 16.14/3.06 % (4055085)Termination reason: Refutation
% 16.14/3.06 % (4055085)Time elapsed: 1.149 s
% 16.14/3.06 % (4055085)Peak memory usage: 137 MB
% 16.14/3.06 % (4055085)Instructions burned: 1756 (million)
% 16.14/3.06 % (4055085)------------------------------
% 16.14/3.06 % (4055085)------------------------------
% 16.14/3.06 % (4055056)Success in time 2.195 s
% 16.14/3.06 % Vampire exiting
%------------------------------------------------------------------------------