%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL097-2 : 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 : n013.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 09:37:57 AM UTC 2026
% Result : Unsatisfiable 9.92s 1.97s
% Output : Refutation 11.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 40
% Syntax : Number of formulae : 156 ( 17 unt; 12 def)
% Number of atoms : 376 ( 24 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 441 ( 221 ~; 208 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-3 aty)
% Number of variables : 110 ( 0 sgn 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,axiom,
! [X0,X1] :
( ~ member(comb_app(X0,X1),comb)
| member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_E1) ).
fof(f164,axiom,
! [X0,X1] :
( ~ member(comb_app(X0,X1),comb)
| member(X1,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_E2) ).
fof(f193,axiom,
! [X0] :
( member(pair(X0,X0),parcontract)
| ~ member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_intros1) ).
fof(f194,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(f195,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(f196,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(f203,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(f205,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(f206,plain,
! [X2,X0,X1] :
( ~ ap_parcontractE_c1(X0,X1,X2)
| comb_app(X0,X1) = X2 ),
inference(reorient_equations,[],[f205]) ).
fof(f209,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(f210,plain,
! [X2,X0,X1] :
( ~ ap_parcontractE_c2(X0,X1,X2)
| comb_app(combK,X2) = X0 ),
inference(reorient_equations,[],[f209]) ).
fof(f214,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(f215,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,[],[f214]) ).
fof(f216,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(f217,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,[],[f216]) ).
fof(f218,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(f219,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(f220,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(f221,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,[],[f220]) ).
fof(f222,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(f223,plain,
! [X0,X1] :
( ~ member(pair(comb_app(combK,X0),X1),parcontract)
| comb_app(combK,k1_parcontractD_sk1(X0,X1)) = X1 ),
inference(reorient_equations,[],[f222]) ).
fof(f224,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(f228,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(f229,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,[],[f228]) ).
fof(f230,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(f231,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(f238,axiom,
! [X0,X1] :
( ~ member(pair(X0,X1),parcontract)
| member(X1,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_combD2) ).
fof(f239,axiom,
member(pair(p,q),parcontract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4h1) ).
fof(f240,axiom,
! [X0] :
( member(pair(q,sk1(X0)),parcontract)
| ~ member(pair(p,X0),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4h2) ).
fof(f241,axiom,
! [X0] :
( member(pair(X0,sk1(X0)),parcontract)
| ~ member(pair(p,X0),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4h3) ).
fof(f242,axiom,
member(pair(r,s),parcontract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4h4) ).
fof(f243,axiom,
! [X0] :
( member(pair(s,sk2(X0)),parcontract)
| ~ member(pair(r,X0),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4h5) ).
fof(f244,axiom,
! [X0] :
( member(pair(X0,sk2(X0)),parcontract)
| ~ member(pair(r,X0),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4h6) ).
fof(f245,negated_conjecture,
member(pair(comb_app(p,r),yp),parcontract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_4c1) ).
fof(f246,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(f300,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,[],[f203,f245]) ).
fof(f306,definition,
( spl0_9
<=> ap_parcontractE_c4(p,r,yp) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f308,plain,
( ap_parcontractE_c4(p,r,yp)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_10
<=> ap_parcontractE_c3(p,r,yp) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f312,plain,
( ap_parcontractE_c3(p,r,yp)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_11
<=> ap_parcontractE_c2(p,r,yp) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f316,plain,
( ap_parcontractE_c2(p,r,yp)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_12
<=> ap_parcontractE_c1(p,r,yp) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f320,plain,
( ap_parcontractE_c1(p,r,yp)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f300,f318,f314,f310,f306]) ).
fof(f322,plain,
( ~ member(comb_app(q,s),comb)
| ~ member(pair(yp,comb_app(q,s)),parcontract) ),
inference(resolution,[],[f193,f246]) ).
fof(f324,plain,
~ member(pair(yp,comb_app(q,s)),parcontract),
inference(forward_subsumption_resolution,[],[f322,f238]) ).
fof(f441,plain,
member(q,comb),
inference(resolution,[],[f238,f239]) ).
fof(f443,plain,
member(s,comb),
inference(resolution,[],[f238,f242]) ).
fof(f592,plain,
! [X0,X1] :
( ~ member(pair(yp,comb_app(X1,X0)),parcontract)
| ~ member(pair(q,X1),parcontract)
| ~ member(pair(s,X0),parcontract) ),
inference(resolution,[],[f196,f246]) ).
fof(f1156,plain,
( p = comb_app(combK,yp)
| ~ spl0_11 ),
inference(resolution,[],[f316,f210]) ).
fof(f1158,plain,
( ! [X0] :
( ~ member(pair(p,X0),parcontract)
| comb_app(combK,k1_parcontractD_sk1(yp,X0)) = X0 )
| ~ spl0_11 ),
inference(superposition,[],[f223,f1156]) ).
fof(f1211,plain,
( q = comb_app(combK,k1_parcontractD_sk1(yp,q))
| ~ spl0_11 ),
inference(resolution,[],[f1158,f239]) ).
fof(f1238,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_11 ),
inference(superposition,[],[f194,f1211]) ).
fof(f1252,plain,
( ~ member(q,comb)
| member(k1_parcontractD_sk1(yp,q),comb)
| ~ spl0_11 ),
inference(superposition,[],[f164,f1211]) ).
fof(f1274,plain,
( member(k1_parcontractD_sk1(yp,q),comb)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1252,f441]) ).
fof(f1278,definition,
( spl0_105
<=> member(k1_parcontractD_sk1(yp,q),comb) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f1282,definition,
( spl0_106
<=> ! [X0] :
( member(pair(comb_app(q,X0),k1_parcontractD_sk1(yp,q)),parcontract)
| ~ member(X0,comb) ) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f1283,plain,
( ! [X0] :
( member(pair(comb_app(q,X0),k1_parcontractD_sk1(yp,q)),parcontract)
| ~ member(X0,comb) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1284,plain,
( ~ spl0_105
| spl0_106
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1238,f314,f1282,f1278]) ).
fof(f1285,plain,
( spl0_105
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1274,f314,f1278]) ).
fof(f1339,plain,
( yp = comb_app(ap_parcontractE_sk2q(p,r,yp),ap_parcontractE_sk2s(p,r,yp))
| ~ spl0_9 ),
inference(resolution,[],[f308,f221]) ).
fof(f1347,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_9 ),
inference(superposition,[],[f196,f1339]) ).
fof(f1407,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_9 ),
inference(resolution,[],[f1347,f244]) ).
fof(f1409,definition,
( spl0_120
<=> member(pair(r,ap_parcontractE_sk2s(p,r,yp)),parcontract) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f1410,plain,
( member(pair(r,ap_parcontractE_sk2s(p,r,yp)),parcontract)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f1411,plain,
( ~ member(pair(r,ap_parcontractE_sk2s(p,r,yp)),parcontract)
| spl0_120 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f1413,definition,
( spl0_121
<=> ! [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_121])],[avatar_definition]) ).
fof(f1414,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_121 ),
inference(avatar_component_clause,[],[f1413]) ).
fof(f1415,plain,
( ~ spl0_120
| spl0_121
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1407,f306,f1413,f1409]) ).
fof(f1454,definition,
( spl0_130
<=> ! [X0] :
( ~ member(pair(ap_parcontractE_sk2q(p,r,yp),X0),parcontract)
| ~ member(pair(q,X0),parcontract) ) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f1455,plain,
( ! [X0] :
( ~ member(pair(ap_parcontractE_sk2q(p,r,yp),X0),parcontract)
| ~ member(pair(q,X0),parcontract) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1493,plain,
( ~ ap_parcontractE_c4(p,r,yp)
| spl0_120 ),
inference(resolution,[],[f1411,f219]) ).
fof(f1658,plain,
( comb_app(p,r) = yp
| ~ spl0_12 ),
inference(resolution,[],[f320,f206]) ).
fof(f1668,plain,
( ! [X0,X1] :
( member(pair(yp,comb_app(X0,X1)),parcontract)
| ~ member(pair(r,X1),parcontract)
| ~ member(pair(p,X0),parcontract) )
| ~ spl0_12 ),
inference(superposition,[],[f196,f1658]) ).
fof(f1683,plain,
( ~ member(pair(r,s),parcontract)
| ~ member(pair(p,q),parcontract)
| ~ spl0_12 ),
inference(resolution,[],[f1668,f324]) ).
fof(f1694,plain,
( ~ member(pair(p,q),parcontract)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1683,f242]) ).
fof(f1695,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1694,f239]) ).
fof(f1696,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f1695]) ).
fof(f2929,plain,
( p = comb_app(combK,yp)
| ~ spl0_11 ),
inference(resolution,[],[f316,f210]) ).
fof(f2932,plain,
( ! [X0] :
( member(pair(yp,k1_parcontractD_sk1(yp,X0)),parcontract)
| ~ member(pair(p,X0),parcontract) )
| ~ spl0_11 ),
inference(superposition,[],[f224,f2929]) ).
fof(f3114,plain,
( ~ member(s,comb)
| ~ member(pair(yp,k1_parcontractD_sk1(yp,q)),parcontract)
| ~ spl0_106 ),
inference(resolution,[],[f1283,f246]) ).
fof(f3117,plain,
( ~ member(pair(yp,k1_parcontractD_sk1(yp,q)),parcontract)
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f3114,f443]) ).
fof(f3122,plain,
( ~ member(pair(p,q),parcontract)
| ~ spl0_11
| ~ spl0_106 ),
inference(resolution,[],[f2932,f3117]) ).
fof(f3124,plain,
( $false
| ~ spl0_11
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f3122,f239]) ).
fof(f3125,plain,
( ~ spl0_11
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f3124]) ).
fof(f3126,plain,
( $false
| ~ spl0_9
| spl0_120 ),
inference(forward_subsumption_resolution,[],[f1493,f308]) ).
fof(f3127,plain,
( ~ spl0_9
| spl0_120 ),
inference(avatar_contradiction_clause,[],[f3126]) ).
fof(f3128,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_121 ),
inference(resolution,[],[f1414,f592]) ).
fof(f3131,definition,
( spl0_300
<=> member(pair(s,sk2(ap_parcontractE_sk2s(p,r,yp))),parcontract) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
fof(f3133,plain,
( ~ member(pair(s,sk2(ap_parcontractE_sk2s(p,r,yp))),parcontract)
| spl0_300 ),
inference(avatar_component_clause,[],[f3131]) ).
fof(f3134,plain,
( ~ spl0_300
| spl0_130
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f3128,f1413,f1454,f3131]) ).
fof(f3231,plain,
( ~ member(pair(q,sk1(ap_parcontractE_sk2q(p,r,yp))),parcontract)
| ~ member(pair(p,ap_parcontractE_sk2q(p,r,yp)),parcontract)
| ~ spl0_130 ),
inference(resolution,[],[f1455,f241]) ).
fof(f3242,plain,
( ~ member(pair(p,ap_parcontractE_sk2q(p,r,yp)),parcontract)
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f3231,f240]) ).
fof(f3281,plain,
( ~ ap_parcontractE_c4(p,r,yp)
| ~ spl0_130 ),
inference(resolution,[],[f3242,f218]) ).
fof(f3282,plain,
( $false
| ~ spl0_9
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f3281,f308]) ).
fof(f3283,plain,
( ~ spl0_9
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f3282]) ).
fof(f3429,plain,
( ~ member(pair(r,ap_parcontractE_sk2s(p,r,yp)),parcontract)
| spl0_300 ),
inference(resolution,[],[f3133,f243]) ).
fof(f3430,plain,
( $false
| ~ spl0_120
| spl0_300 ),
inference(forward_subsumption_resolution,[],[f3429,f1410]) ).
fof(f3431,plain,
( ~ spl0_120
| spl0_300 ),
inference(avatar_contradiction_clause,[],[f3430]) ).
fof(f3435,plain,
( yp = comb_app(comb_app(ap_parcontractE_sk1p(p,r,yp),r),comb_app(ap_parcontractE_sk1q(p,r,yp),r))
| ~ spl0_10 ),
inference(resolution,[],[f312,f215]) ).
fof(f3436,plain,
( p = comb_app(comb_app(combS,ap_parcontractE_sk1p(p,r,yp)),ap_parcontractE_sk1q(p,r,yp))
| ~ spl0_10 ),
inference(resolution,[],[f312,f217]) ).
fof(f3437,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_10 ),
inference(superposition,[],[f229,f3436]) ).
fof(f3438,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_10 ),
inference(superposition,[],[f230,f3436]) ).
fof(f3439,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_10 ),
inference(superposition,[],[f231,f3436]) ).
fof(f3477,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_10 ),
inference(superposition,[],[f196,f3435]) ).
fof(f3554,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_10 ),
inference(resolution,[],[f3477,f196]) ).
fof(f3581,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_10 ),
inference(resolution,[],[f3554,f196]) ).
fof(f3680,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_10 ),
inference(resolution,[],[f3437,f239]) ).
fof(f3727,plain,
( ~ member(q,comb)
| member(comb_app(combS,s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q)),comb)
| ~ spl0_10 ),
inference(superposition,[],[f163,f3680]) ).
fof(f3728,plain,
( ~ member(q,comb)
| member(s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),comb)
| ~ spl0_10 ),
inference(superposition,[],[f164,f3680]) ).
fof(f3747,plain,
( member(s2_parcontractD_sk1q(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),comb)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f3728,f441]) ).
fof(f3748,plain,
( member(comb_app(combS,s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q)),comb)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f3727,f441]) ).
fof(f3927,plain,
( member(s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),comb)
| ~ spl0_10 ),
inference(resolution,[],[f3748,f164]) ).
fof(f4901,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_10 ),
inference(superposition,[],[f195,f3680]) ).
fof(f4948,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)
| ~ member(s2_parcontractD_sk1p(ap_parcontractE_sk1p(p,r,yp),ap_parcontractE_sk1q(p,r,yp),q),comb) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4901,f3747]) ).
fof(f4977,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_10 ),
inference(forward_subsumption_resolution,[],[f4948,f3927]) ).
fof(f5006,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_10 ),
inference(resolution,[],[f4977,f246]) ).
fof(f5009,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_10 ),
inference(forward_subsumption_resolution,[],[f5006,f443]) ).
fof(f5010,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_10 ),
inference(resolution,[],[f5009,f3581]) ).
fof(f5011,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_10 ),
inference(duplicate_literal_removal,[],[f5010]) ).
fof(f5012,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_10 ),
inference(forward_subsumption_resolution,[],[f5011,f242]) ).
fof(f5014,definition,
( spl0_374
<=> 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_374])],[avatar_definition]) ).
fof(f5016,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_374 ),
inference(avatar_component_clause,[],[f5014]) ).
fof(f5018,definition,
( spl0_375
<=> 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_375])],[avatar_definition]) ).
fof(f5020,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_375 ),
inference(avatar_component_clause,[],[f5018]) ).
fof(f5021,plain,
( ~ spl0_374
| ~ spl0_375
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f5012,f310,f5018,f5014]) ).
fof(f5022,plain,
( ~ member(pair(p,q),parcontract)
| ~ spl0_10
| spl0_374 ),
inference(resolution,[],[f5016,f3438]) ).
fof(f5023,plain,
( $false
| ~ spl0_10
| spl0_374 ),
inference(forward_subsumption_resolution,[],[f5022,f239]) ).
fof(f5024,plain,
( ~ spl0_10
| spl0_374 ),
inference(avatar_contradiction_clause,[],[f5023]) ).
fof(f5028,plain,
( ~ member(pair(p,q),parcontract)
| ~ spl0_10
| spl0_375 ),
inference(resolution,[],[f5020,f3439]) ).
fof(f5029,plain,
( $false
| ~ spl0_10
| spl0_375 ),
inference(forward_subsumption_resolution,[],[f5028,f239]) ).
fof(f5030,plain,
( ~ spl0_10
| spl0_375 ),
inference(avatar_contradiction_clause,[],[f5029]) ).
cnf(s7,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f321]) ).
cnf(s63,plain,
( ~ spl0_11
| ~ spl0_105
| spl0_106 ),
inference(sat_conversion,[],[f1284]) ).
cnf(s64,plain,
( ~ spl0_11
| spl0_105 ),
inference(sat_conversion,[],[f1285]) ).
cnf(s72,plain,
( ~ spl0_9
| ~ spl0_120
| spl0_121 ),
inference(sat_conversion,[],[f1415]) ).
cnf(s83,plain,
~ spl0_12,
inference(sat_conversion,[],[f1696]) ).
cnf(s172,plain,
( ~ spl0_11
| ~ spl0_106 ),
inference(sat_conversion,[],[f3125]) ).
cnf(s173,plain,
( ~ spl0_9
| spl0_120 ),
inference(sat_conversion,[],[f3127]) ).
cnf(s174,plain,
( ~ spl0_121
| spl0_130
| ~ spl0_300 ),
inference(sat_conversion,[],[f3134]) ).
cnf(s184,plain,
( ~ spl0_9
| ~ spl0_130 ),
inference(sat_conversion,[],[f3283]) ).
cnf(s191,plain,
( ~ spl0_120
| spl0_300 ),
inference(sat_conversion,[],[f3431]) ).
cnf(s225,plain,
( ~ spl0_10
| ~ spl0_374
| ~ spl0_375 ),
inference(sat_conversion,[],[f5021]) ).
cnf(s226,plain,
( ~ spl0_10
| spl0_374 ),
inference(sat_conversion,[],[f5024]) ).
cnf(s227,plain,
( ~ spl0_10
| spl0_375 ),
inference(sat_conversion,[],[f5030]) ).
cnf(s230,plain,
( spl0_9
| spl0_10
| spl0_11 ),
inference(rat,[],[s7,s83]) ).
cnf(s231,plain,
~ spl0_11,
inference(rat,[],[s63,s64,s172]) ).
cnf(s232,plain,
~ spl0_10,
inference(rat,[],[s225,s226,s227]) ).
cnf(s233,plain,
spl0_9,
inference(rat,[],[s230,s231,s232]) ).
cnf(s234,plain,
~ spl0_130,
inference(rat,[],[s184,s233]) ).
cnf(s235,plain,
spl0_120,
inference(rat,[],[s173,s233]) ).
cnf(s240,plain,
spl0_300,
inference(rat,[],[s191,s235]) ).
cnf(s241,plain,
spl0_121,
inference(rat,[],[s72,s233,s235]) ).
cnf(s242,plain,
$false,
inference(rat,[],[s174,s234,s240,s241]) ).
fof(f5031,plain,
$false,
inference(avatar_sat_refutation,[],[s242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL097-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:34:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 9.25/1.89 % (1607882)Input is clausal, will run a generic CNF schedule.
% 9.25/1.89 % (1607893)dis-21_1_sil=8000:lcm=predicate:random_seed=3183334119: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)
% 9.25/1.89 % (1607890)lrs+10_1_sil=8000:sp=occurrence:random_seed=343404149:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.25/1.89 % (1607887)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=1117576227:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.25/1.89 % (1607888)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2800813320:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.25/1.89 % (1607892)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1813935389:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.25/1.89 % (1607889)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=281157231:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.25/1.89 % (1607891)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2275770036:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.25/1.89 % (1607891)Refutation not found, incomplete strategy
% 9.25/1.89 % (1607891)------------------------------
% 9.25/1.89 % (1607891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/1.89 % (1607891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/1.89 % (1607891)CaDiCaL version: 2.1.3
% 9.25/1.89 % (1607891)Termination reason: Refutation not found, incomplete strategy
% 9.25/1.89 % (1607891)Time elapsed: 0.004 s
% 9.25/1.89 % (1607891)Peak memory usage: 88 MB
% 9.25/1.89 % (1607891)Instructions burned: 3 (million)
% 9.25/1.89 % (1607893)Instruction limit reached!
% 9.25/1.89 % (1607893)------------------------------
% 9.25/1.89 % (1607893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/1.89 % (1607893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/1.89 % (1607893)CaDiCaL version: 2.1.3
% 9.25/1.89 % (1607893)Termination reason: Instruction limit
% 9.25/1.89 % (1607893)Termination phase: Saturation
% 9.25/1.89 % (1607893)Time elapsed: 0.040 s
% 9.25/1.89 % (1607893)Peak memory usage: 89 MB
% 9.25/1.89 % (1607893)Instructions burned: 119 (million)
% 9.25/1.89 % (1607890)Instruction limit reached!
% 9.25/1.89 % (1607890)------------------------------
% 9.25/1.89 % (1607890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/1.89 % (1607890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/1.89 % (1607890)CaDiCaL version: 2.1.3
% 9.25/1.89 % (1607890)Termination reason: Instruction limit
% 9.25/1.89 % (1607890)Termination phase: Saturation
% 9.25/1.89 % (1607890)Time elapsed: 0.062 s
% 9.25/1.89 % (1607890)Peak memory usage: 89 MB
% 9.25/1.89 % (1607890)Instructions burned: 107 (million)
% 9.25/1.89 % (1607901)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=1995062876:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.25/1.89 % (1607901)Refutation not found, incomplete strategy
% 9.25/1.89 % (1607901)------------------------------
% 9.25/1.89 % (1607901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/1.89 % (1607901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/1.89 % (1607901)CaDiCaL version: 2.1.3
% 9.25/1.89 % (1607901)Termination reason: Refutation not found, incomplete strategy
% 9.25/1.89 % (1607901)Time elapsed: 0.002 s
% 9.25/1.89 % (1607901)Peak memory usage: 88 MB
% 9.25/1.89 % (1607901)Instructions burned: 3 (million)
% 9.25/1.89 % (1607892)Instruction limit reached!
% 9.25/1.89 % (1607892)------------------------------
% 9.25/1.89 % (1607892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/1.89 % (1607892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/1.89 % (1607892)CaDiCaL version: 2.1.3
% 9.25/1.89 % (1607892)Termination reason: Instruction limit
% 9.25/1.89 % (1607892)Termination phase: Saturation
% 9.25/1.89 % (1607892)Time elapsed: 0.115 s
% 9.25/1.89 % (1607892)Peak memory usage: 90 MB
% 9.25/1.89 % (1607892)Instructions burned: 180 (million)
% 9.25/1.89 % (1607902)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=859070363: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)
% 9.92/1.96 % (1607901)------------------------------
% 9.92/1.96 % (1607901)------------------------------
% 9.92/1.96 % (1607904)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2644925569:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.92/1.96 % (1607891)------------------------------
% 9.92/1.96 % (1607891)------------------------------
% 9.92/1.96 % (1607904)Refutation not found, incomplete strategy
% 9.92/1.96 % (1607904)------------------------------
% 9.92/1.96 % (1607904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/1.96 % (1607904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.96 % (1607904)CaDiCaL version: 2.1.3
% 9.92/1.96 % (1607904)Termination reason: Refutation not found, incomplete strategy
% 9.92/1.96 % (1607904)Time elapsed: 0.005 s
% 9.92/1.96 % (1607904)Peak memory usage: 88 MB
% 9.92/1.96 % (1607904)Instructions burned: 6 (million)
% 9.92/1.96 % (1607902)Instruction limit reached!
% 9.92/1.96 % (1607902)------------------------------
% 9.92/1.96 % (1607902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/1.96 % (1607902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.96 % (1607902)CaDiCaL version: 2.1.3
% 9.92/1.96 % (1607902)Termination reason: Instruction limit
% 9.92/1.96 % (1607902)Termination phase: Saturation
% 9.92/1.96 % (1607902)Time elapsed: 0.093 s
% 9.92/1.96 % (1607902)Peak memory usage: 90 MB
% 9.92/1.96 % (1607902)Instructions burned: 190 (million)
% 9.92/1.96 % (1607907)lrs+10_64_to=lpo:sil=8000:random_seed=3658272372:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.92/1.96 % (1607907)Instruction limit reached!
% 9.92/1.96 % (1607907)------------------------------
% 9.92/1.96 % (1607907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/1.96 % (1607907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.96 % (1607907)CaDiCaL version: 2.1.3
% 9.92/1.96 % (1607907)Termination reason: Instruction limit
% 9.92/1.96 % (1607907)Termination phase: Saturation
% 9.92/1.97 % (1607907)Time elapsed: 0.040 s
% 9.92/1.97 % (1607907)Peak memory usage: 90 MB
% 9.92/1.97 % (1607907)Instructions burned: 128 (million)
% 9.92/1.97 % (1607908)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2507789445:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 9.92/1.97 % (1607909)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1118343957:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 9.92/1.97 % (1607911)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=380857079:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 9.92/1.97 % (1607904)------------------------------
% 9.92/1.97 % (1607904)------------------------------
% 9.92/1.97 % (1607908)Instruction limit reached!
% 9.92/1.97 % (1607908)------------------------------
% 9.92/1.97 % (1607908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/1.97 % (1607908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.97 % (1607908)CaDiCaL version: 2.1.3
% 9.92/1.97 % (1607908)Termination reason: Instruction limit
% 9.92/1.97 % (1607908)Termination phase: Saturation
% 9.92/1.97 % (1607908)Time elapsed: 0.110 s
% 9.92/1.97 % (1607908)Peak memory usage: 90 MB
% 9.92/1.97 % (1607908)Instructions burned: 195 (million)
% 9.92/1.97 % (1607909)Instruction limit reached!
% 9.92/1.97 % (1607909)------------------------------
% 9.92/1.97 % (1607909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/1.97 % (1607909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.97 % (1607909)CaDiCaL version: 2.1.3
% 9.92/1.97 % (1607909)Termination reason: Instruction limit
% 9.92/1.97 % (1607909)Termination phase: Saturation
% 9.92/1.97 % (1607909)Time elapsed: 0.098 s
% 9.92/1.97 % (1607909)Peak memory usage: 91 MB
% 9.92/1.97 % (1607909)Instructions burned: 158 (million)
% 9.92/1.97 % (1607915)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=1454999249:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 9.92/1.97 % (1607916)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2461736556:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 9.92/1.97 % (1607917)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3978392424:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 9.92/1.97 % (1607915)Instruction limit reached!
% 9.92/1.97 % (1607915)------------------------------
% 9.92/1.97 % (1607915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/1.97 % (1607915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.97 % (1607915)CaDiCaL version: 2.1.3
% 9.92/1.97 % (1607915)Termination reason: Instruction limit
% 9.92/1.97 % (1607915)Termination phase: Saturation
% 9.92/1.97 % (1607915)Time elapsed: 0.058 s
% 9.92/1.97 % (1607915)Peak memory usage: 89 MB
% 9.92/1.97 % (1607915)Instructions burned: 107 (million)
% 9.92/1.97 % (1607916)Instruction limit reached!
% 9.92/1.97 % (1607916)------------------------------
% 9.92/1.97 % (1607916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/1.97 % (1607916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.97 % (1607916)CaDiCaL version: 2.1.3
% 9.92/1.97 % (1607916)Termination reason: Instruction limit
% 9.92/1.97 % (1607916)Termination phase: Saturation
% 9.92/1.97 % (1607916)Time elapsed: 0.069 s
% 9.92/1.97 % (1607916)Peak memory usage: 90 MB
% 9.92/1.97 % (1607916)Instructions burned: 108 (million)
% 9.92/1.97 % (1607917)Instruction limit reached!
% 9.92/1.97 % (1607917)------------------------------
% 9.92/1.97 % (1607917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/1.97 % (1607917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.97 % (1607917)CaDiCaL version: 2.1.3
% 9.92/1.97 % (1607917)Termination reason: Instruction limit
% 9.92/1.97 % (1607917)Termination phase: Saturation
% 9.92/1.97 % (1607917)Time elapsed: 0.153 s
% 9.92/1.97 % (1607917)Peak memory usage: 89 MB
% 9.92/1.97 % (1607917)Instructions burned: 243 (million)
% 9.92/1.97 % (1607921)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3504874294:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 9.92/1.97 % (1607922)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=453417731:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 9.92/1.97 % (1607922)Refutation not found, incomplete strategy
% 9.92/1.97 % (1607922)------------------------------
% 9.92/1.97 % (1607922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/1.97 % (1607922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.97 % (1607922)CaDiCaL version: 2.1.3
% 9.92/1.97 % (1607922)Termination reason: Refutation not found, incomplete strategy
% 9.92/1.97 % (1607922)Time elapsed: 0.003 s
% 9.92/1.97 % (1607922)Peak memory usage: 88 MB
% 9.92/1.97 % (1607922)Instructions burned: 3 (million)
% 9.92/1.97 % (1607923)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3056091614:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 9.92/1.97 % (1607922)------------------------------
% 9.92/1.97 % (1607922)------------------------------
% 9.92/1.97 % (1607923)Instruction limit reached!
% 9.92/1.97 % (1607923)------------------------------
% 9.92/1.97 % (1607923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/1.97 % (1607923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.97 % (1607923)CaDiCaL version: 2.1.3
% 9.92/1.97 % (1607923)Termination reason: Instruction limit
% 9.92/1.97 % (1607923)Termination phase: Saturation
% 9.92/1.97 % (1607923)Time elapsed: 0.274 s
% 9.92/1.97 % (1607923)Peak memory usage: 96 MB
% 9.92/1.97 % (1607923)Instructions burned: 499 (million)
% 9.92/1.97 % (1607927)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=799800151:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 9.92/1.97 % (1607911)First to succeed.
% 9.92/1.97 % (1607911)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1607882"
% 9.92/1.97 % (1607928)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3518193810:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 9.92/1.97 % (1607927)Instruction limit reached!
% 9.92/1.97 % (1607927)------------------------------
% 9.92/1.97 % (1607927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/1.97 % (1607927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.97 % (1607927)CaDiCaL version: 2.1.3
% 9.92/1.97 % (1607927)Termination reason: Instruction limit
% 9.92/1.97 % (1607927)Termination phase: Saturation
% 9.92/1.97 % (1607927)Time elapsed: 0.115 s
% 9.92/1.97 % (1607927)Peak memory usage: 90 MB
% 9.92/1.97 % (1607927)Instructions burned: 192 (million)
% 9.92/1.97 % (1607911)Refutation found. Thanks to Tanya!
% 9.92/1.97 % SZS status Unsatisfiable for theBenchmark
% 9.92/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 11.36/2.17 % (1607911)------------------------------
% 11.36/2.17 % (1607911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.36/2.17 % (1607911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.36/2.17 % (1607911)CaDiCaL version: 2.1.3
% 11.36/2.17 % (1607911)Termination reason: Refutation
% 11.36/2.17 % (1607911)Time elapsed: 0.766 s
% 11.36/2.17 % (1607911)Peak memory usage: 139 MB
% 11.36/2.17 % (1607911)Instructions burned: 1965 (million)
% 11.36/2.17 % (1607911)------------------------------
% 11.36/2.17 % (1607911)------------------------------
% 11.36/2.17 % (1607882)Success in time 1.549 s
% 11.36/2.17 % Vampire exiting
%------------------------------------------------------------------------------