%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL096-1 : 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 : n015.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 19.68s 3.53s
% Output : Refutation 20.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 41
% Syntax : Number of formulae : 177 ( 28 unt; 16 def)
% Number of atoms : 401 ( 44 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 434 ( 210 ~; 208 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 17 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 103 ( 0 sgn 103 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : combK != comb_app(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_app) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( comb_app(X0,X1) != comb_app(X2,X3)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_app1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( comb_app(X0,X1) != comb_app(X2,X3)
| X1 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_app2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ member(comb_app(X0,X1),comb)
| member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_E1) ).
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(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(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(p,comb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_3h1) ).
fof(f84,axiom,
member(q,comb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_3h2) ).
fof(f85,axiom,
member(r,comb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_3h3) ).
fof(f86,negated_conjecture,
member(pair(comb_app(comb_app(comb_app(combS,p),q),r),yp),parcontract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_3c1) ).
fof(f87,negated_conjecture,
! [X0] :
( ~ member(pair(comb_app(comb_app(p,r),comb_app(q,r)),X0),parcontract)
| ~ member(pair(yp,X0),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_3c2) ).
fof(f111,plain,
( ap_parcontractE_c1(comb_app(comb_app(combS,p),q),r,yp)
| ap_parcontractE_c2(comb_app(comb_app(combS,p),q),r,yp)
| ap_parcontractE_c3(comb_app(comb_app(combS,p),q),r,yp)
| ap_parcontractE_c4(comb_app(comb_app(combS,p),q),r,yp) ),
inference(resolution,[],[f47,f86]) ).
fof(f113,definition,
( spl0_5
<=> ap_parcontractE_c4(comb_app(comb_app(combS,p),q),r,yp) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f115,plain,
( ap_parcontractE_c4(comb_app(comb_app(combS,p),q),r,yp)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f117,definition,
( spl0_6
<=> ap_parcontractE_c3(comb_app(comb_app(combS,p),q),r,yp) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f119,plain,
( ap_parcontractE_c3(comb_app(comb_app(combS,p),q),r,yp)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f121,definition,
( spl0_7
<=> ap_parcontractE_c2(comb_app(comb_app(combS,p),q),r,yp) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f123,plain,
( ap_parcontractE_c2(comb_app(comb_app(combS,p),q),r,yp)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl0_8
<=> ap_parcontractE_c1(comb_app(comb_app(combS,p),q),r,yp) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f127,plain,
( ap_parcontractE_c1(comb_app(comb_app(combS,p),q),r,yp)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f111,f125,f121,f117,f113]) ).
fof(f130,plain,
( ~ member(comb_app(comb_app(p,r),comb_app(q,r)),comb)
| ~ member(pair(yp,comb_app(comb_app(p,r),comb_app(q,r))),parcontract) ),
inference(resolution,[],[f37,f87]) ).
fof(f133,plain,
~ member(pair(yp,comb_app(comb_app(p,r),comb_app(q,r))),parcontract),
inference(forward_subsumption_resolution,[],[f130,f82]) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( member(pair(X1,s2_parcontractD_sk1q(X0,X1,ap_parcontractE_sk2q(comb_app(comb_app(combS,X0),X1),X2,X3))),parcontract)
| ~ ap_parcontractE_c4(comb_app(comb_app(combS,X0),X1),X2,X3) ),
inference(resolution,[],[f62,f75]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( member(pair(X0,s2_parcontractD_sk1p(X0,X1,ap_parcontractE_sk2q(comb_app(comb_app(combS,X0),X1),X2,X3))),parcontract)
| ~ ap_parcontractE_c4(comb_app(comb_app(combS,X0),X1),X2,X3) ),
inference(resolution,[],[f62,f74]) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( ~ ap_parcontractE_c4(comb_app(comb_app(combS,X0),X1),X2,X3)
| ap_parcontractE_sk2q(comb_app(comb_app(combS,X0),X1),X2,X3) = comb_app(comb_app(combS,s2_parcontractD_sk1p(X0,X1,ap_parcontractE_sk2q(comb_app(comb_app(combS,X0),X1),X2,X3))),s2_parcontractD_sk1q(X0,X1,ap_parcontractE_sk2q(comb_app(comb_app(combS,X0),X1),X2,X3))) ),
inference(resolution,[],[f62,f73]) ).
fof(f176,plain,
( yp = comb_app(ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp),ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp))
| ~ spl0_5 ),
inference(resolution,[],[f65,f115]) ).
fof(f185,plain,
( ~ member(yp,comb)
| member(ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp),comb)
| ~ spl0_5 ),
inference(superposition,[],[f7,f176]) ).
fof(f186,plain,
( ~ member(yp,comb)
| member(ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp),comb)
| ~ spl0_5 ),
inference(superposition,[],[f8,f176]) ).
fof(f194,definition,
( spl0_9
<=> member(ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp),comb) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f195,plain,
( member(ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp),comb)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f198,definition,
( spl0_10
<=> member(ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp),comb) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f199,plain,
( member(ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp),comb)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f218,definition,
( spl0_15
<=> member(yp,comb) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f219,plain,
( ~ member(yp,comb)
| spl0_15 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( member(yp,comb)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,plain,
( spl0_9
| ~ spl0_15
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f186,f113,f218,f194]) ).
fof(f223,plain,
( spl0_10
| ~ spl0_15
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f185,f113,f218,f198]) ).
fof(f224,plain,
member(yp,comb),
inference(resolution,[],[f82,f86]) ).
fof(f233,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f224,f219]) ).
fof(f234,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f248,plain,
! [X0,X1] :
( ~ member(pair(yp,comb_app(X1,X0)),parcontract)
| ~ member(pair(comb_app(p,r),X1),parcontract)
| ~ member(pair(comb_app(q,r),X0),parcontract) ),
inference(resolution,[],[f40,f87]) ).
fof(f363,definition,
( spl0_20
<=> member(pair(yp,yp),parcontract) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f364,plain,
( member(pair(yp,yp),parcontract)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f365,plain,
( ~ member(pair(yp,yp),parcontract)
| spl0_20 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f420,plain,
( comb_app(comb_app(combS,p),q) = comb_app(combK,yp)
| ~ spl0_7 ),
inference(resolution,[],[f123,f54]) ).
fof(f440,plain,
( ! [X0,X1] :
( comb_app(X0,X1) != comb_app(combK,yp)
| q = X1 )
| ~ spl0_7 ),
inference(superposition,[],[f5,f420]) ).
fof(f525,plain,
( q = yp
| ~ spl0_7 ),
inference(equality_resolution,[],[f440]) ).
fof(f555,plain,
( comb_app(comb_app(comb_app(combS,p),q),r) = yp
| ~ spl0_8 ),
inference(resolution,[],[f127,f50]) ).
fof(f561,plain,
( member(pair(yp,comb_app(comb_app(p,r),comb_app(q,r))),parcontract)
| ~ member(q,comb)
| ~ member(r,comb)
| ~ member(p,comb)
| ~ spl0_8 ),
inference(superposition,[],[f39,f555]) ).
fof(f607,plain,
( ~ member(q,comb)
| ~ member(r,comb)
| ~ member(p,comb)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f561,f133]) ).
fof(f639,plain,
( ~ member(r,comb)
| ~ member(p,comb)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f607,f84]) ).
fof(f641,plain,
( ~ member(p,comb)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f639,f85]) ).
fof(f643,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f641,f83]) ).
fof(f644,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f645,plain,
( ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp) = comb_app(comb_app(combS,s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp))),s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)))
| ~ spl0_5 ),
inference(resolution,[],[f115,f149]) ).
fof(f689,plain,
( ~ member(yp,comb)
| spl0_20 ),
inference(resolution,[],[f365,f37]) ).
fof(f690,plain,
( $false
| ~ spl0_15
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f689,f220]) ).
fof(f691,plain,
( ~ spl0_15
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f698,plain,
( ! [X0] :
( member(pair(comb_app(ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp),X0),comb_app(comb_app(s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),X0),comb_app(s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),X0))),parcontract)
| ~ member(s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),comb)
| ~ member(X0,comb)
| ~ member(s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),comb) )
| ~ spl0_5 ),
inference(superposition,[],[f39,f645]) ).
fof(f712,plain,
( ~ member(ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp),comb)
| member(comb_app(combS,s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp))),comb)
| ~ spl0_5 ),
inference(superposition,[],[f7,f645]) ).
fof(f713,plain,
( ~ member(ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp),comb)
| member(s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),comb)
| ~ spl0_5 ),
inference(superposition,[],[f8,f645]) ).
fof(f750,definition,
( spl0_65
<=> member(s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),comb) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f754,definition,
( spl0_66
<=> member(comb_app(combS,s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp))),comb) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f755,plain,
( member(comb_app(combS,s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp))),comb)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f781,plain,
( member(s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),comb)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f713,f199]) ).
fof(f782,plain,
( member(comb_app(combS,s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp))),comb)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f712,f199]) ).
fof(f784,definition,
( spl0_73
<=> member(s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),comb) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f786,plain,
( ~ member(s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),comb)
| spl0_73 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f788,definition,
( spl0_74
<=> ! [X0] :
( member(pair(comb_app(ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp),X0),comb_app(comb_app(s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),X0),comb_app(s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),X0))),parcontract)
| ~ member(X0,comb) ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f789,plain,
( ! [X0] :
( member(pair(comb_app(ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp),X0),comb_app(comb_app(s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),X0),comb_app(s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),X0))),parcontract)
| ~ member(X0,comb) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f790,plain,
( ~ spl0_73
| ~ spl0_65
| spl0_74
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f698,f113,f788,f750,f784]) ).
fof(f795,plain,
( spl0_65
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f781,f198,f113,f750]) ).
fof(f796,plain,
( spl0_66
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f782,f198,f113,f754]) ).
fof(f992,plain,
( comb_app(comb_app(combS,p),q) = comb_app(combK,yp)
| ~ spl0_7 ),
inference(resolution,[],[f123,f54]) ).
fof(f993,plain,
( comb_app(comb_app(combS,p),q) = comb_app(combK,q)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f992,f525]) ).
fof(f1013,plain,
( ! [X0,X1] :
( comb_app(X0,X1) != comb_app(combK,q)
| comb_app(combS,p) = X0 )
| ~ spl0_7 ),
inference(superposition,[],[f4,f993]) ).
fof(f1067,plain,
( combK = comb_app(combS,p)
| ~ spl0_7 ),
inference(equality_resolution,[],[f1013]) ).
fof(f1068,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1067,f2]) ).
fof(f1069,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1071,plain,
( yp = comb_app(ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp),ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp))
| ~ spl0_5 ),
inference(resolution,[],[f115,f65]) ).
fof(f1147,plain,
( member(s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),comb)
| ~ spl0_66 ),
inference(resolution,[],[f755,f8]) ).
fof(f1149,plain,
( $false
| ~ spl0_66
| spl0_73 ),
inference(forward_subsumption_resolution,[],[f1147,f786]) ).
fof(f1150,plain,
( ~ spl0_66
| spl0_73 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1153,plain,
( member(pair(yp,comb_app(comb_app(s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp)),comb_app(s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp)))),parcontract)
| ~ member(ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp),comb)
| ~ spl0_5
| ~ spl0_74 ),
inference(superposition,[],[f789,f1071]) ).
fof(f1154,plain,
( member(pair(yp,comb_app(comb_app(s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp)),comb_app(s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp)))),parcontract)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f1153,f195]) ).
fof(f1155,plain,
( ~ member(pair(comb_app(p,r),comb_app(s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp))),parcontract)
| ~ member(pair(comb_app(q,r),comb_app(s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp))),parcontract)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_74 ),
inference(resolution,[],[f1154,f248]) ).
fof(f1158,definition,
( spl0_97
<=> member(pair(comb_app(q,r),comb_app(s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp))),parcontract) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f1160,plain,
( ~ member(pair(comb_app(q,r),comb_app(s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp))),parcontract)
| spl0_97 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1162,definition,
( spl0_98
<=> member(pair(comb_app(p,r),comb_app(s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp))),parcontract) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f1164,plain,
( ~ member(pair(comb_app(p,r),comb_app(s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp)),ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp))),parcontract)
| spl0_98 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1165,plain,
( ~ spl0_97
| ~ spl0_98
| ~ spl0_5
| ~ spl0_9
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1155,f788,f194,f113,f1162,f1158]) ).
fof(f1166,plain,
( ~ member(pair(r,ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp)),parcontract)
| ~ member(pair(q,s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp))),parcontract)
| spl0_97 ),
inference(resolution,[],[f1160,f40]) ).
fof(f1168,definition,
( spl0_99
<=> member(pair(q,s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp))),parcontract) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f1170,plain,
( ~ member(pair(q,s2_parcontractD_sk1q(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp))),parcontract)
| spl0_99 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1172,definition,
( spl0_100
<=> member(pair(r,ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp)),parcontract) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f1173,plain,
( member(pair(r,ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp)),parcontract)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1174,plain,
( ~ member(pair(r,ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp)),parcontract)
| spl0_100 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1175,plain,
( ~ spl0_99
| ~ spl0_100
| spl0_97 ),
inference(avatar_split_clause,[],[f1166,f1158,f1172,f1168]) ).
fof(f1176,plain,
( ~ ap_parcontractE_c4(comb_app(comb_app(combS,p),q),r,yp)
| spl0_99 ),
inference(resolution,[],[f1170,f147]) ).
fof(f1177,plain,
( $false
| ~ spl0_5
| spl0_99 ),
inference(forward_subsumption_resolution,[],[f1176,f115]) ).
fof(f1178,plain,
( ~ spl0_5
| spl0_99 ),
inference(avatar_contradiction_clause,[],[f1177]) ).
fof(f1348,plain,
( ~ ap_parcontractE_c4(comb_app(comb_app(combS,p),q),r,yp)
| spl0_100 ),
inference(resolution,[],[f1174,f63]) ).
fof(f1349,plain,
( $false
| ~ spl0_5
| spl0_100 ),
inference(forward_subsumption_resolution,[],[f1348,f115]) ).
fof(f1350,plain,
( ~ spl0_5
| spl0_100 ),
inference(avatar_contradiction_clause,[],[f1349]) ).
fof(f1371,plain,
( ~ member(pair(r,ap_parcontractE_sk2s(comb_app(comb_app(combS,p),q),r,yp)),parcontract)
| ~ member(pair(p,s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp))),parcontract)
| spl0_98 ),
inference(resolution,[],[f1164,f40]) ).
fof(f1372,plain,
( ~ member(pair(p,s2_parcontractD_sk1p(p,q,ap_parcontractE_sk2q(comb_app(comb_app(combS,p),q),r,yp))),parcontract)
| spl0_98
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[],[f1371,f1173]) ).
fof(f1373,plain,
( ~ ap_parcontractE_c4(comb_app(comb_app(combS,p),q),r,yp)
| spl0_98
| ~ spl0_100 ),
inference(resolution,[],[f1372,f148]) ).
fof(f1374,plain,
( $false
| ~ spl0_5
| spl0_98
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[],[f1373,f115]) ).
fof(f1375,plain,
( ~ spl0_5
| spl0_98
| ~ spl0_100 ),
inference(avatar_contradiction_clause,[],[f1374]) ).
fof(f1376,plain,
( yp = comb_app(comb_app(ap_parcontractE_sk1p(comb_app(comb_app(combS,p),q),r,yp),r),comb_app(ap_parcontractE_sk1q(comb_app(comb_app(combS,p),q),r,yp),r))
| ~ spl0_6 ),
inference(resolution,[],[f119,f59]) ).
fof(f1377,plain,
( comb_app(comb_app(combS,p),q) = comb_app(comb_app(combS,ap_parcontractE_sk1p(comb_app(comb_app(combS,p),q),r,yp)),ap_parcontractE_sk1q(comb_app(comb_app(combS,p),q),r,yp))
| ~ spl0_6 ),
inference(resolution,[],[f119,f61]) ).
fof(f1422,plain,
( ! [X0,X1] :
( comb_app(X0,X1) != comb_app(comb_app(combS,p),q)
| comb_app(combS,ap_parcontractE_sk1p(comb_app(comb_app(combS,p),q),r,yp)) = X0 )
| ~ spl0_6 ),
inference(superposition,[],[f4,f1377]) ).
fof(f1424,plain,
( ! [X0,X1] :
( comb_app(X0,X1) != comb_app(comb_app(combS,p),q)
| ap_parcontractE_sk1q(comb_app(comb_app(combS,p),q),r,yp) = X1 )
| ~ spl0_6 ),
inference(superposition,[],[f5,f1377]) ).
fof(f1445,plain,
( comb_app(combS,p) = comb_app(combS,ap_parcontractE_sk1p(comb_app(comb_app(combS,p),q),r,yp))
| ~ spl0_6 ),
inference(equality_resolution,[],[f1422]) ).
fof(f1477,plain,
( ! [X0,X1] :
( comb_app(X0,X1) != comb_app(combS,p)
| ap_parcontractE_sk1p(comb_app(comb_app(combS,p),q),r,yp) = X1 )
| ~ spl0_6 ),
inference(superposition,[],[f5,f1445]) ).
fof(f1518,plain,
( p = ap_parcontractE_sk1p(comb_app(comb_app(combS,p),q),r,yp)
| ~ spl0_6 ),
inference(equality_resolution,[],[f1477]) ).
fof(f1523,plain,
( q = ap_parcontractE_sk1q(comb_app(comb_app(combS,p),q),r,yp)
| ~ spl0_6 ),
inference(equality_resolution,[],[f1424]) ).
fof(f1536,plain,
( yp = comb_app(comb_app(ap_parcontractE_sk1p(comb_app(comb_app(combS,p),q),r,yp),r),comb_app(q,r))
| ~ spl0_6 ),
inference(superposition,[],[f1376,f1523]) ).
fof(f1540,plain,
( yp = comb_app(comb_app(p,r),comb_app(q,r))
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1536,f1518]) ).
fof(f1604,plain,
( ~ member(pair(yp,yp),parcontract)
| ~ spl0_6 ),
inference(superposition,[],[f133,f1540]) ).
fof(f1694,plain,
( $false
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1604,f364]) ).
fof(f1695,plain,
( ~ spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1694]) ).
cnf(s5,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f128]) ).
cnf(s11,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_15 ),
inference(sat_conversion,[],[f222]) ).
cnf(s12,plain,
( ~ spl0_5
| spl0_10
| ~ spl0_15 ),
inference(sat_conversion,[],[f223]) ).
cnf(s13,plain,
spl0_15,
inference(sat_conversion,[],[f234]) ).
cnf(s46,plain,
~ spl0_8,
inference(sat_conversion,[],[f644]) ).
cnf(s49,plain,
( ~ spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f691]) ).
cnf(s59,plain,
( ~ spl0_5
| ~ spl0_65
| ~ spl0_73
| spl0_74 ),
inference(sat_conversion,[],[f790]) ).
cnf(s61,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_65 ),
inference(sat_conversion,[],[f795]) ).
cnf(s62,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_66 ),
inference(sat_conversion,[],[f796]) ).
cnf(s78,plain,
~ spl0_7,
inference(sat_conversion,[],[f1069]) ).
cnf(s80,plain,
( ~ spl0_66
| spl0_73 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s81,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_74
| ~ spl0_97
| ~ spl0_98 ),
inference(sat_conversion,[],[f1165]) ).
cnf(s82,plain,
( spl0_97
| ~ spl0_99
| ~ spl0_100 ),
inference(sat_conversion,[],[f1175]) ).
cnf(s83,plain,
( ~ spl0_5
| spl0_99 ),
inference(sat_conversion,[],[f1178]) ).
cnf(s84,plain,
( ~ spl0_5
| spl0_100 ),
inference(sat_conversion,[],[f1350]) ).
cnf(s86,plain,
( ~ spl0_5
| spl0_98
| ~ spl0_100 ),
inference(sat_conversion,[],[f1375]) ).
cnf(s97,plain,
( ~ spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f1695]) ).
cnf(s102,plain,
spl0_20,
inference(rat,[],[s49,s13]) ).
cnf(s103,plain,
~ spl0_6,
inference(rat,[],[s97,s102]) ).
cnf(s104,plain,
( ~ spl0_5
| spl0_10 ),
inference(rat,[],[s12,s13]) ).
cnf(s105,plain,
( ~ spl0_5
| spl0_9 ),
inference(rat,[],[s11,s13]) ).
cnf(s106,plain,
spl0_5,
inference(rat,[],[s5,s46,s78,s103]) ).
cnf(s107,plain,
spl0_100,
inference(rat,[],[s84,s106]) ).
cnf(s108,plain,
spl0_99,
inference(rat,[],[s83,s106]) ).
cnf(s109,plain,
spl0_10,
inference(rat,[],[s104,s106]) ).
cnf(s110,plain,
spl0_9,
inference(rat,[],[s105,s106]) ).
cnf(s111,plain,
spl0_98,
inference(rat,[],[s86,s106,s107]) ).
cnf(s112,plain,
spl0_97,
inference(rat,[],[s82,s107,s108]) ).
cnf(s113,plain,
spl0_66,
inference(rat,[],[s62,s106,s109]) ).
cnf(s114,plain,
spl0_65,
inference(rat,[],[s61,s106,s109]) ).
cnf(s115,plain,
~ spl0_74,
inference(rat,[],[s81,s111,s112,s106,s110]) ).
cnf(s120,plain,
spl0_73,
inference(rat,[],[s80,s113]) ).
cnf(s121,plain,
$false,
inference(rat,[],[s59,s115,s106,s120,s114]) ).
fof(f1714,plain,
$false,
inference(avatar_sat_refutation,[],[s121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL096-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n015.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 21:38:02 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 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
% 14.19/3.01 % (3061185)Input is clausal, will run a generic CNF schedule.
% 14.19/3.01 % (3061241)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2540074786:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 14.19/3.01 % (3061243)lrs+10_1_sil=8000:sp=occurrence:random_seed=1565964998:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 14.19/3.01 % (3061250)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1076408811:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 14.19/3.01 % (3061240)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=405908497:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 14.19/3.01 % (3061247)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2185801909:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 14.19/3.01 % (3061242)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3039503754:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 14.19/3.01 % (3061247)Refutation not found, incomplete strategy
% 14.19/3.01 % (3061247)------------------------------
% 14.19/3.01 % (3061247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.01 % (3061247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.01 % (3061247)CaDiCaL version: 2.1.3
% 14.19/3.01 % (3061247)Termination reason: Refutation not found, incomplete strategy
% 14.19/3.01 % (3061247)Time elapsed: 0.005 s
% 14.19/3.01 % (3061247)Peak memory usage: 88 MB
% 14.19/3.01 % (3061247)Instructions burned: 2 (million)
% 14.19/3.01 % (3061251)dis-21_1_sil=8000:lcm=predicate:random_seed=937841359: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)
% 14.19/3.01 % (3061243)Instruction limit reached!
% 14.19/3.01 % (3061243)------------------------------
% 14.19/3.01 % (3061243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.01 % (3061243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.01 % (3061243)CaDiCaL version: 2.1.3
% 14.19/3.01 % (3061243)Termination reason: Instruction limit
% 14.19/3.01 % (3061243)Termination phase: Saturation
% 14.19/3.01 % (3061243)Time elapsed: 0.066 s
% 14.19/3.01 % (3061243)Peak memory usage: 89 MB
% 14.19/3.01 % (3061243)Instructions burned: 107 (million)
% 14.19/3.01 % (3061251)Instruction limit reached!
% 14.19/3.01 % (3061251)------------------------------
% 14.19/3.01 % (3061251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.01 % (3061251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.01 % (3061251)CaDiCaL version: 2.1.3
% 14.19/3.01 % (3061251)Termination reason: Instruction limit
% 14.19/3.01 % (3061251)Termination phase: Saturation
% 14.19/3.01 % (3061251)Time elapsed: 0.110 s
% 14.19/3.01 % (3061251)Peak memory usage: 89 MB
% 14.19/3.01 % (3061251)Instructions burned: 117 (million)
% 14.19/3.01 % (3061250)Instruction limit reached!
% 14.19/3.01 % (3061250)------------------------------
% 14.19/3.01 % (3061250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.01 % (3061250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.01 % (3061250)CaDiCaL version: 2.1.3
% 14.19/3.01 % (3061250)Termination reason: Instruction limit
% 14.19/3.01 % (3061250)Termination phase: Saturation
% 14.19/3.01 % (3061250)Time elapsed: 0.184 s
% 14.19/3.01 % (3061250)Peak memory usage: 90 MB
% 14.19/3.01 % (3061250)Instructions burned: 181 (million)
% 14.19/3.01 % (3061263)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=3322353880:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 14.19/3.01 % (3061263)Refutation not found, incomplete strategy
% 14.19/3.01 % (3061263)------------------------------
% 14.19/3.01 % (3061263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.01 % (3061263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.01 % (3061263)CaDiCaL version: 2.1.3
% 14.19/3.01 % (3061263)Termination reason: Refutation not found, incomplete strategy
% 14.19/3.01 % (3061263)Time elapsed: 0.003 s
% 14.19/3.01 % (3061263)Peak memory usage: 88 MB
% 14.19/3.01 % (3061263)Instructions burned: 1 (million)
% 14.19/3.01 % (3061268)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1146296404: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)
% 19.68/3.53 % (3061269)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1000200368:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 19.68/3.53 % (3061269)Refutation not found, incomplete strategy
% 19.68/3.53 % (3061269)------------------------------
% 19.68/3.53 % (3061269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.53 % (3061269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.53 % (3061269)CaDiCaL version: 2.1.3
% 19.68/3.53 % (3061269)Termination reason: Refutation not found, incomplete strategy
% 19.68/3.53 % (3061269)Time elapsed: 0.006 s
% 19.68/3.53 % (3061269)Peak memory usage: 88 MB
% 19.68/3.53 % (3061269)Instructions burned: 4 (million)
% 19.68/3.53 % (3061247)------------------------------
% 19.68/3.53 % (3061247)------------------------------
% 19.68/3.53 % (3061268)Instruction limit reached!
% 19.68/3.53 % (3061268)------------------------------
% 19.68/3.53 % (3061268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.53 % (3061268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.53 % (3061268)CaDiCaL version: 2.1.3
% 19.68/3.53 % (3061268)Termination reason: Instruction limit
% 19.68/3.53 % (3061268)Termination phase: Saturation
% 19.68/3.53 % (3061268)Time elapsed: 0.159 s
% 19.68/3.53 % (3061268)Peak memory usage: 91 MB
% 19.68/3.53 % (3061268)Instructions burned: 190 (million)
% 19.68/3.53 % (3061263)------------------------------
% 19.68/3.53 % (3061263)------------------------------
% 19.68/3.53 % (3061276)lrs+10_64_to=lpo:sil=8000:random_seed=1098075012:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 19.68/3.53 % (3061281)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1324702856:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 19.68/3.53 % (3061276)Instruction limit reached!
% 19.68/3.53 % (3061276)------------------------------
% 19.68/3.53 % (3061276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.53 % (3061276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.53 % (3061276)CaDiCaL version: 2.1.3
% 19.68/3.53 % (3061276)Termination reason: Instruction limit
% 19.68/3.53 % (3061276)Termination phase: Saturation
% 19.68/3.53 % (3061276)Time elapsed: 0.089 s
% 19.68/3.53 % (3061276)Peak memory usage: 89 MB
% 19.68/3.53 % (3061276)Instructions burned: 126 (million)
% 19.68/3.53 % (3061269)------------------------------
% 19.68/3.53 % (3061269)------------------------------
% 19.68/3.53 % (3061282)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3345225095:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 19.68/3.53 % (3061281)Instruction limit reached!
% 19.68/3.53 % (3061281)------------------------------
% 19.68/3.53 % (3061281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.53 % (3061281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.53 % (3061281)CaDiCaL version: 2.1.3
% 19.68/3.53 % (3061281)Termination reason: Instruction limit
% 19.68/3.53 % (3061281)Termination phase: Saturation
% 19.68/3.53 % (3061281)Time elapsed: 0.176 s
% 19.68/3.53 % (3061281)Peak memory usage: 90 MB
% 19.68/3.53 % (3061281)Instructions burned: 195 (million)
% 19.68/3.53 % (3061287)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2464186543:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 19.68/3.53 % (3061291)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=569018173:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 19.68/3.53 % (3061282)Instruction limit reached!
% 19.68/3.53 % (3061282)------------------------------
% 19.68/3.53 % (3061282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.53 % (3061282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.53 % (3061282)CaDiCaL version: 2.1.3
% 19.68/3.53 % (3061282)Termination reason: Instruction limit
% 19.68/3.53 % (3061282)Termination phase: Saturation
% 19.68/3.53 % (3061282)Time elapsed: 0.150 s
% 19.68/3.53 % (3061282)Peak memory usage: 91 MB
% 19.68/3.53 % (3061282)Instructions burned: 157 (million)
% 19.68/3.53 % (3061295)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3163494126:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 19.68/3.53 % (3061291)Instruction limit reached!
% 19.68/3.53 % (3061291)------------------------------
% 19.68/3.53 % (3061291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.53 % (3061291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.53 % (3061291)CaDiCaL version: 2.1.3
% 19.68/3.53 % (3061291)Termination reason: Instruction limit
% 19.68/3.53 % (3061291)Termination phase: Saturation
% 19.68/3.53 % (3061291)Time elapsed: 0.097 s
% 19.68/3.53 % (3061291)Peak memory usage: 89 MB
% 19.68/3.53 % (3061291)Instructions burned: 106 (million)
% 19.68/3.53 % (3061295)Instruction limit reached!
% 19.68/3.53 % (3061295)------------------------------
% 19.68/3.53 % (3061295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.53 % (3061295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.53 % (3061295)CaDiCaL version: 2.1.3
% 19.68/3.53 % (3061295)Termination reason: Instruction limit
% 19.68/3.53 % (3061295)Termination phase: Saturation
% 19.68/3.53 % (3061295)Time elapsed: 0.090 s
% 19.68/3.53 % (3061295)Peak memory usage: 89 MB
% 19.68/3.53 % (3061295)Instructions burned: 107 (million)
% 19.68/3.53 % (3061299)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2921554312:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 19.68/3.53 % (3061302)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3628129011:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 19.68/3.53 % (3061304)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4051757981:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 19.68/3.53 % (3061304)Refutation not found, incomplete strategy
% 19.68/3.53 % (3061304)------------------------------
% 19.68/3.53 % (3061304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.53 % (3061304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.53 % (3061304)CaDiCaL version: 2.1.3
% 19.68/3.53 % (3061304)Termination reason: Refutation not found, incomplete strategy
% 19.68/3.53 % (3061304)Time elapsed: 0.004 s
% 19.68/3.53 % (3061304)Peak memory usage: 88 MB
% 19.68/3.53 % (3061304)Instructions burned: 2 (million)
% 19.68/3.53 % (3061299)Instruction limit reached!
% 19.68/3.53 % (3061299)------------------------------
% 19.68/3.53 % (3061299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.53 % (3061299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.53 % (3061299)CaDiCaL version: 2.1.3
% 19.68/3.53 % (3061299)Termination reason: Instruction limit
% 19.68/3.53 % (3061299)Termination phase: Saturation
% 19.68/3.53 % (3061299)Time elapsed: 0.219 s
% 19.68/3.53 % (3061299)Peak memory usage: 90 MB
% 19.68/3.53 % (3061299)Instructions burned: 243 (million)
% 19.68/3.53 % (3061310)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3607136173:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 19.68/3.53 % (3061304)------------------------------
% 19.68/3.53 % (3061304)------------------------------
% 19.68/3.53 % (3061314)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=395552586:i=191:fgj=on:bd=all_2980 on theBenchmark for (2980ds/191Mi)
% 19.68/3.53 % (3061310)Instruction limit reached!
% 19.68/3.53 % (3061310)------------------------------
% 19.68/3.53 % (3061310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.53 % (3061310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.53 % (3061310)CaDiCaL version: 2.1.3
% 19.68/3.53 % (3061310)Termination reason: Instruction limit
% 19.68/3.53 % (3061310)Termination phase: Saturation
% 19.68/3.53 % (3061310)Time elapsed: 0.418 s
% 19.68/3.53 % (3061310)Peak memory usage: 103 MB
% 19.68/3.53 % (3061310)Instructions burned: 500 (million)
% 19.68/3.53 % (3061314)Instruction limit reached!
% 19.68/3.53 % (3061314)------------------------------
% 19.68/3.53 % (3061314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.53 % (3061314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.53 % (3061314)CaDiCaL version: 2.1.3
% 19.68/3.53 % (3061314)Termination reason: Instruction limit
% 19.68/3.53 % (3061314)Termination phase: Saturation
% 19.68/3.53 % (3061314)Time elapsed: 0.154 s
% 19.68/3.53 % (3061314)Peak memory usage: 91 MB
% 19.68/3.53 % (3061314)Instructions burned: 191 (million)
% 19.68/3.53 % (3061320)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1581738719:cond=on:i=156:bs=on:gtg=exists_all:er=known_2977 on theBenchmark for (2977ds/156Mi)
% 19.68/3.53 % (3061319)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2811720547:i=264:kws=precedence:fsr=off_2977 on theBenchmark for (2977ds/264Mi)
% 19.68/3.53 % (3061287)First to succeed.
% 19.68/3.53 % (3061287)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3061185"
% 19.68/3.53 % (3061320)Instruction limit reached!
% 19.68/3.53 % (3061320)------------------------------
% 19.68/3.53 % (3061320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.53 % (3061320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.53 % (3061320)CaDiCaL version: 2.1.3
% 19.68/3.53 % (3061320)Termination reason: Instruction limit
% 19.68/3.53 % (3061320)Termination phase: Saturation
% 19.68/3.53 % (3061320)Time elapsed: 0.097 s
% 19.68/3.53 % (3061320)Peak memory usage: 90 MB
% 19.68/3.53 % (3061320)Instructions burned: 156 (million)
% 19.68/3.53 % (3061319)Instruction limit reached!
% 19.68/3.53 % (3061319)------------------------------
% 19.68/3.53 % (3061319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.53 % (3061319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.53 % (3061319)CaDiCaL version: 2.1.3
% 19.68/3.53 % (3061319)Termination reason: Instruction limit
% 19.68/3.53 % (3061319)Termination phase: Saturation
% 19.68/3.53 % (3061319)Time elapsed: 0.145 s
% 19.68/3.53 % (3061319)Peak memory usage: 91 MB
% 19.68/3.53 % (3061319)Instructions burned: 265 (million)
% 19.68/3.53 % (3061324)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=3077791714:i=3256:kws=precedence:bd=preordered:av=off_2974 on theBenchmark for (2974ds/3256Mi)
% 19.68/3.53 % (3061326)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3445066479:i=537:av=off:ss=included_2973 on theBenchmark for (2973ds/537Mi)
% 19.68/3.53 % (3061287)Refutation found. Thanks to Tanya!
% 19.68/3.53 % SZS status Unsatisfiable for theBenchmark
% 19.68/3.53 % SZS output start Proof for theBenchmark
% See solution above
% 20.44/3.73 % (3061287)------------------------------
% 20.44/3.73 % (3061287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.44/3.73 % (3061287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.73 % (3061287)CaDiCaL version: 2.1.3
% 20.44/3.73 % (3061287)Termination reason: Refutation
% 20.44/3.73 % (3061287)Time elapsed: 1.381 s
% 20.44/3.73 % (3061287)Peak memory usage: 133 MB
% 20.44/3.73 % (3061287)Instructions burned: 1365 (million)
% 20.44/3.73 % (3061287)------------------------------
% 20.44/3.73 % (3061287)------------------------------
% 20.44/3.73 % (3061185)Success in time 2.802 s
% 20.44/3.73 % Vampire exiting
%------------------------------------------------------------------------------