%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL092-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:37:55 AM UTC 2026
% Result : Unsatisfiable 3.14s 1.15s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 19
% Syntax : Number of formulae : 82 ( 7 unt; 3 def)
% Number of atoms : 225 ( 76 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 226 ( 83 ~; 140 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 99 ( 0 sgn 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : combK != comb_app(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_app) ).
fof(f8,axiom,
! [X0,X1] :
( member(X1,comb)
| ~ member(comb_app(X0,X1),comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_E2) ).
fof(f37,axiom,
! [X0] :
( member(pair(X0,X0),parcontract)
| ~ member(X0,comb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',parcontract_intros1) ).
fof(f42,axiom,
! [X0] :
( ~ member(pair(combK,X0),parcontract)
| X0 = combK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_parcontractE2) ).
fof(f43,plain,
! [X0] :
( ~ member(pair(combK,X0),parcontract)
| combK = X0 ),
inference(reorient_equations,[],[f42]) ).
fof(f47,axiom,
! [X2,X0,X1] :
( ap_parcontractE_c2(X0,X1,X2)
| ap_parcontractE_c1(X0,X1,X2)
| ~ member(pair(comb_app(X0,X1),X2),parcontract)
| ap_parcontractE_c3(X0,X1,X2)
| ap_parcontractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE1) ).
fof(f48,axiom,
! [X2,X0,X1] :
( member(comb_app(X0,X1),comb)
| ~ ap_parcontractE_c1(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE2) ).
fof(f49,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c1(X0,X1,X2)
| X2 = comb_app(X0,X1) ),
file('/export/starexec/sandbox2/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(f52,axiom,
! [X2,X0,X1] :
( member(X1,comb)
| ~ ap_parcontractE_c2(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE5) ).
fof(f53,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c2(X0,X1,X2)
| X0 = comb_app(combK,X2) ),
file('/export/starexec/sandbox2/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(f57,axiom,
! [X2,X0,X1] :
( member(X1,comb)
| ~ ap_parcontractE_c3(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE9) ).
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/sandbox2/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] :
( ~ ap_parcontractE_c4(X0,X1,X2)
| member(pair(X0,ap_parcontractE_sk2q(X0,X1,X2)),parcontract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_parcontractE12) ).
fof(f63,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c4(X0,X1,X2)
| member(pair(X1,ap_parcontractE_sk2s(X0,X1,X2)),parcontract) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ap_parcontractE14) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ ap_parcontractE_c4(X0,X1,X2)
| comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)) = X2 ),
inference(reorient_equations,[],[f64]) ).
fof(f66,axiom,
member(pair(comb_app(combK,p),r),parcontract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_parcontractD_h1) ).
fof(f67,negated_conjecture,
! [X0] :
( r != comb_app(combK,X0)
| ~ member(pair(p,X0),parcontract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_parcontractD_c1) ).
fof(f68,plain,
! [X0] :
( ~ member(pair(p,X0),parcontract)
| comb_app(combK,X0) != r ),
inference(reorient_equations,[],[f67]) ).
fof(f89,plain,
( ~ member(p,comb)
| comb_app(combK,p) != r ),
inference(resolution,[],[f37,f68]) ).
fof(f91,definition,
( spl0_5
<=> comb_app(combK,p) = r ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f93,plain,
( comb_app(combK,p) != r
| spl0_5 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f95,definition,
( spl0_6
<=> member(p,comb) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f97,plain,
( ~ member(p,comb)
| spl0_6 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f89,f95,f91]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ap_parcontractE_c1(X0,X1,X2)
| ~ member(pair(comb_app(X0,X1),X2),parcontract)
| ap_parcontractE_c3(X0,X1,X2)
| ap_parcontractE_c4(X0,X1,X2)
| comb_app(combK,X2) = X0 ),
inference(resolution,[],[f47,f54]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ap_parcontractE_c3(X0,X1,X2)
| ~ member(pair(comb_app(X0,X1),X2),parcontract)
| ap_parcontractE_c4(X0,X1,X2)
| comb_app(combK,X2) = X0
| comb_app(X0,X1) = X2 ),
inference(resolution,[],[f104,f50]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ap_parcontractE_c4(X0,X1,X2)
| ~ member(pair(comb_app(X0,X1),X2),parcontract)
| comb_app(combK,X2) = X0
| comb_app(X0,X1) = X2
| comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)) = X0 ),
inference(resolution,[],[f106,f61]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ member(pair(comb_app(X0,X1),X2),parcontract)
| comb_app(combK,X2) = X0
| comb_app(X0,X1) = X2
| comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)) = X0
| comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)) = X2 ),
inference(resolution,[],[f108,f65]) ).
fof(f111,plain,
! [X2,X0,X1] :
( member(pair(X1,ap_parcontractE_sk2s(X0,X1,X2)),parcontract)
| comb_app(combK,X2) = X0
| comb_app(X0,X1) = X2
| comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)) = X0
| ~ member(pair(comb_app(X0,X1),X2),parcontract) ),
inference(resolution,[],[f108,f63]) ).
fof(f112,plain,
! [X2,X0,X1] :
( member(pair(X0,ap_parcontractE_sk2q(X0,X1,X2)),parcontract)
| comb_app(combK,X2) = X0
| comb_app(X0,X1) = X2
| comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)) = X0
| ~ member(pair(comb_app(X0,X1),X2),parcontract) ),
inference(resolution,[],[f108,f62]) ).
fof(f119,plain,
! [X0,X1] :
( r != comb_app(combK,ap_parcontractE_sk2s(X1,p,X0))
| comb_app(X1,p) = X0
| comb_app(comb_app(combS,ap_parcontractE_sk1p(X1,p,X0)),ap_parcontractE_sk1q(X1,p,X0)) = X1
| ~ member(pair(comb_app(X1,p),X0),parcontract)
| comb_app(combK,X0) = X1 ),
inference(resolution,[],[f111,f68]) ).
fof(f137,plain,
! [X0,X1] :
( combK = comb_app(combK,X0)
| comb_app(combK,X1) = X0
| combK = comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,X1,X0)),ap_parcontractE_sk1q(combK,X1,X0))
| ~ member(pair(comb_app(combK,X1),X0),parcontract)
| combK = ap_parcontractE_sk2q(combK,X1,X0) ),
inference(resolution,[],[f112,f43]) ).
fof(f140,plain,
! [X0,X1] :
( combK = comb_app(combK,X0)
| comb_app(combK,X1) = X0
| ~ member(pair(comb_app(combK,X1),X0),parcontract)
| combK = ap_parcontractE_sk2q(combK,X1,X0) ),
inference(forward_subsumption_resolution,[],[f137,f2]) ).
fof(f142,plain,
! [X0,X1] :
( combK = ap_parcontractE_sk2q(combK,X1,X0)
| ~ member(pair(comb_app(combK,X1),X0),parcontract)
| comb_app(combK,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f140,f2]) ).
fof(f157,plain,
( combK = comb_app(combK,r)
| comb_app(combK,p) = r
| combK = comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r))
| r = comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) ),
inference(resolution,[],[f110,f66]) ).
fof(f166,plain,
( comb_app(combK,p) = r
| combK = comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r))
| r = comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) ),
inference(forward_subsumption_resolution,[],[f157,f2]) ).
fof(f258,plain,
( comb_app(combK,p) = r
| r = comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) ),
inference(forward_subsumption_resolution,[],[f166,f2]) ).
fof(f260,definition,
( spl0_26
<=> r = comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r)) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f262,plain,
( r = comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,plain,
( spl0_26
| spl0_5 ),
inference(avatar_split_clause,[],[f258,f91,f260]) ).
fof(f265,plain,
( ! [X0] : ~ member(comb_app(X0,p),comb)
| spl0_6 ),
inference(resolution,[],[f97,f8]) ).
fof(f272,plain,
( ! [X0,X1] : ~ ap_parcontractE_c2(X0,p,X1)
| spl0_6 ),
inference(resolution,[],[f97,f52]) ).
fof(f273,plain,
( ! [X0,X1] : ~ ap_parcontractE_c3(X0,p,X1)
| spl0_6 ),
inference(resolution,[],[f97,f57]) ).
fof(f314,plain,
( ! [X0,X1] :
( ap_parcontractE_c1(X0,p,X1)
| ~ member(pair(comb_app(X0,p),X1),parcontract)
| ap_parcontractE_c3(X0,p,X1)
| ap_parcontractE_c4(X0,p,X1) )
| spl0_6 ),
inference(resolution,[],[f272,f47]) ).
fof(f329,plain,
( ! [X0,X1] : ~ ap_parcontractE_c1(X0,p,X1)
| spl0_6 ),
inference(resolution,[],[f265,f48]) ).
fof(f428,plain,
( ! [X0,X1] :
( ~ member(pair(comb_app(X0,p),X1),parcontract)
| ap_parcontractE_c3(X0,p,X1)
| ap_parcontractE_c4(X0,p,X1) )
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f314,f329]) ).
fof(f429,plain,
( ! [X0,X1] :
( ap_parcontractE_c4(X0,p,X1)
| ~ member(pair(comb_app(X0,p),X1),parcontract) )
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f428,f273]) ).
fof(f431,plain,
( ! [X0,X1] :
( ~ member(pair(comb_app(X0,p),X1),parcontract)
| comb_app(ap_parcontractE_sk2q(X0,p,X1),ap_parcontractE_sk2s(X0,p,X1)) = X1 )
| spl0_6 ),
inference(resolution,[],[f429,f65]) ).
fof(f432,plain,
( ! [X0,X1] :
( member(pair(p,ap_parcontractE_sk2s(X0,p,X1)),parcontract)
| ~ member(pair(comb_app(X0,p),X1),parcontract) )
| spl0_6 ),
inference(resolution,[],[f429,f63]) ).
fof(f433,plain,
( ! [X0,X1] :
( member(pair(X0,ap_parcontractE_sk2q(X0,p,X1)),parcontract)
| ~ member(pair(comb_app(X0,p),X1),parcontract) )
| spl0_6 ),
inference(resolution,[],[f429,f62]) ).
fof(f599,plain,
( ! [X0,X1] :
( r != comb_app(combK,ap_parcontractE_sk2s(X0,p,X1))
| ~ member(pair(comb_app(X0,p),X1),parcontract) )
| spl0_6 ),
inference(resolution,[],[f432,f68]) ).
fof(f603,plain,
( ! [X0] :
( combK = ap_parcontractE_sk2q(combK,p,X0)
| ~ member(pair(comb_app(combK,p),X0),parcontract) )
| spl0_6 ),
inference(resolution,[],[f433,f43]) ).
fof(f620,plain,
( r = comb_app(ap_parcontractE_sk2q(combK,p,r),ap_parcontractE_sk2s(combK,p,r))
| spl0_6 ),
inference(resolution,[],[f431,f66]) ).
fof(f630,plain,
( spl0_26
| spl0_6 ),
inference(avatar_split_clause,[],[f620,f95,f260]) ).
fof(f1382,plain,
( r = comb_app(combK,ap_parcontractE_sk2s(combK,p,r))
| ~ member(pair(comb_app(combK,p),r),parcontract)
| spl0_6
| ~ spl0_26 ),
inference(superposition,[],[f262,f603]) ).
fof(f1456,plain,
( ~ member(pair(comb_app(combK,p),r),parcontract)
| spl0_6
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1382,f599]) ).
fof(f1461,plain,
( $false
| spl0_6
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1456,f66]) ).
fof(f1462,plain,
( spl0_6
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1461]) ).
fof(f1521,plain,
( r = comb_app(combK,ap_parcontractE_sk2s(combK,p,r))
| ~ member(pair(comb_app(combK,p),r),parcontract)
| comb_app(combK,p) = r
| ~ spl0_26 ),
inference(superposition,[],[f262,f142]) ).
fof(f1528,plain,
( r = comb_app(combK,ap_parcontractE_sk2s(combK,p,r))
| comb_app(combK,p) = r
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1521,f66]) ).
fof(f1534,plain,
( r = comb_app(combK,ap_parcontractE_sk2s(combK,p,r))
| spl0_5
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1528,f93]) ).
fof(f1556,plain,
( r != r
| comb_app(combK,p) = r
| combK = comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r))
| ~ member(pair(comb_app(combK,p),r),parcontract)
| combK = comb_app(combK,r)
| spl0_5
| ~ spl0_26 ),
inference(superposition,[],[f119,f1534]) ).
fof(f1593,plain,
( comb_app(combK,p) = r
| combK = comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r))
| ~ member(pair(comb_app(combK,p),r),parcontract)
| combK = comb_app(combK,r)
| spl0_5
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1556]) ).
fof(f1620,plain,
( combK = comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r))
| ~ member(pair(comb_app(combK,p),r),parcontract)
| combK = comb_app(combK,r)
| spl0_5
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1593,f93]) ).
fof(f1643,plain,
( combK = comb_app(comb_app(combS,ap_parcontractE_sk1p(combK,p,r)),ap_parcontractE_sk1q(combK,p,r))
| ~ member(pair(comb_app(combK,p),r),parcontract)
| spl0_5
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1620,f2]) ).
fof(f1645,plain,
( ~ member(pair(comb_app(combK,p),r),parcontract)
| spl0_5
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1643,f2]) ).
fof(f1647,plain,
( $false
| spl0_5
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1645,f66]) ).
fof(f1648,plain,
( spl0_5
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1647]) ).
cnf(s5,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f98]) ).
cnf(s22,plain,
( spl0_5
| spl0_26 ),
inference(sat_conversion,[],[f263]) ).
cnf(s25,plain,
( spl0_6
| spl0_26 ),
inference(sat_conversion,[],[f630]) ).
cnf(s35,plain,
( spl0_6
| ~ spl0_26 ),
inference(sat_conversion,[],[f1462]) ).
cnf(s60,plain,
( spl0_5
| ~ spl0_26 ),
inference(sat_conversion,[],[f1648]) ).
cnf(s62,plain,
spl0_5,
inference(rat,[],[s22,s60]) ).
cnf(s63,plain,
~ spl0_6,
inference(rat,[],[s5,s62]) ).
cnf(s64,plain,
~ spl0_26,
inference(rat,[],[s35,s63]) ).
cnf(s65,plain,
$false,
inference(rat,[],[s25,s64,s63]) ).
fof(f1650,plain,
$false,
inference(avatar_sat_refutation,[],[s65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL092-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n008.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Mon Sep 28 21:36:25 UTC 2026
% 0.12/0.20 % CPUTime :
% 0.12/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.23 Running first-order theorem proving
% 0.12/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.14/1.15 % (2679742)Input is clausal, will run a generic CNF schedule.
% 3.14/1.15 % (2679751)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2136758398:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.14/1.15 % (2679751)Refutation not found, incomplete strategy
% 3.14/1.15 % (2679751)------------------------------
% 3.14/1.15 % (2679751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.15 % (2679751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.15 % (2679751)CaDiCaL version: 2.1.3
% 3.14/1.15 % (2679751)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.15 % (2679751)Time elapsed: 0.001 s
% 3.14/1.15 % (2679751)Peak memory usage: 88 MB
% 3.14/1.15 % (2679751)Instructions burned: 2 (million)
% 3.14/1.15 % (2679752)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3480380761:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.14/1.15 % (2679750)lrs+10_1_sil=8000:sp=occurrence:random_seed=1070421601:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.14/1.15 % (2679748)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=93621418:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.14/1.15 % (2679753)dis-21_1_sil=8000:lcm=predicate:random_seed=3139344180: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)
% 3.14/1.15 % (2679747)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=216846968:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.14/1.15 % (2679749)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4165463560:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.14/1.15 % (2679750)Refutation not found, incomplete strategy
% 3.14/1.15 % (2679750)------------------------------
% 3.14/1.15 % (2679750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.15 % (2679750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.15 % (2679750)CaDiCaL version: 2.1.3
% 3.14/1.15 % (2679750)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.15 % (2679750)Time elapsed: 0.002 s
% 3.14/1.15 % (2679750)Peak memory usage: 88 MB
% 3.14/1.15 % (2679750)Instructions burned: 1 (million)
% 3.14/1.15 % (2679753)Instruction limit reached!
% 3.14/1.15 % (2679753)------------------------------
% 3.14/1.15 % (2679753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.15 % (2679753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.15 % (2679753)CaDiCaL version: 2.1.3
% 3.14/1.15 % (2679753)Termination reason: Instruction limit
% 3.14/1.15 % (2679753)Termination phase: Saturation
% 3.14/1.15 % (2679753)Time elapsed: 0.070 s
% 3.14/1.15 % (2679753)Peak memory usage: 89 MB
% 3.14/1.15 % (2679753)Instructions burned: 117 (million)
% 3.14/1.15 % (2679752)First to succeed.
% 3.14/1.15 % (2679752)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2679742"
% 3.14/1.15 % (2679751)------------------------------
% 3.14/1.15 % (2679751)------------------------------
% 3.14/1.15 % (2679762)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1650779203: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)
% 3.14/1.15 % (2679761)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=3819947447:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.14/1.15 % (2679761)Refutation not found, incomplete strategy
% 3.14/1.15 % (2679761)------------------------------
% 3.14/1.15 % (2679761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.15 % (2679761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.15 % (2679761)CaDiCaL version: 2.1.3
% 3.14/1.15 % (2679761)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.15 % (2679761)Time elapsed: 0.012 s
% 3.14/1.15 % (2679761)Peak memory usage: 88 MB
% 3.14/1.15 % (2679761)Instructions burned: 17 (million)
% 3.14/1.15 % (2679750)------------------------------
% 3.14/1.15 % (2679750)------------------------------
% 3.14/1.15 % (2679762)Instruction limit reached!
% 3.14/1.15 % (2679762)------------------------------
% 3.14/1.15 % (2679762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.15 % (2679762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.15 % (2679762)CaDiCaL version: 2.1.3
% 3.14/1.15 % (2679762)Termination reason: Instruction limit
% 3.14/1.15 % (2679762)Termination phase: Saturation
% 3.14/1.15 % (2679762)Time elapsed: 0.052 s
% 3.14/1.15 % (2679762)Peak memory usage: 90 MB
% 3.14/1.15 % (2679762)Instructions burned: 191 (million)
% 3.14/1.15 % (2679752)Refutation found. Thanks to Tanya!
% 3.14/1.15 % SZS status Unsatisfiable for theBenchmark
% 3.14/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.24 % (2679752)------------------------------
% 3.88/1.24 % (2679752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.24 % (2679752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.24 % (2679752)CaDiCaL version: 2.1.3
% 3.88/1.24 % (2679752)Termination reason: Refutation
% 3.88/1.24 % (2679752)Time elapsed: 0.074 s
% 3.88/1.24 % (2679752)Peak memory usage: 91 MB
% 3.88/1.24 % (2679752)Instructions burned: 114 (million)
% 3.88/1.24 % (2679752)------------------------------
% 3.88/1.24 % (2679752)------------------------------
% 3.88/1.24 % (2679742)Success in time 0.475 s
% 3.88/1.24 % Vampire exiting
%------------------------------------------------------------------------------