%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL095-1 : 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 : n004.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 6.91s 1.79s
% Output : Refutation 8.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 36
% Syntax : Number of formulae : 146 ( 34 unt; 16 def)
% Number of atoms : 312 ( 49 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 322 ( 156 ~; 155 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 12 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 77 ( 0 sgn 77 !; 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(f38,axiom,
! [X0,X1] :
( member(pair(comb_app(comb_app(combK,X0),X1),X0),parcontract)
| ~ member(X1,comb)
| ~ member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_intros2) ).
fof(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(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(f64,axiom,
! [X2,X0,X1] :
( ~ ap_parcontractE_c4(X0,X1,X2)
| X2 = comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE14) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ ap_parcontractE_c4(X0,X1,X2)
| comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)) = X2 ),
inference(reorient_equations,[],[f64]) ).
fof(f66,axiom,
! [X0,X1] :
( ~ member(pair(comb_app(combK,X0),X1),parcontract)
| X1 = comb_app(combK,k1_parcontractD_sk1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_parcontractD_1) ).
fof(f67,plain,
! [X0,X1] :
( ~ member(pair(comb_app(combK,X0),X1),parcontract)
| comb_app(combK,k1_parcontractD_sk1(X0,X1)) = X1 ),
inference(reorient_equations,[],[f66]) ).
fof(f68,axiom,
! [X0,X1] :
( ~ member(pair(comb_app(combK,X0),X1),parcontract)
| member(pair(X0,k1_parcontractD_sk1(X0,X1)),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_parcontractD_2) ).
fof(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_2h1) ).
fof(f84,axiom,
member(q,comb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_2h2) ).
fof(f85,negated_conjecture,
member(pair(comb_app(comb_app(combK,p),q),yp),parcontract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_2c1) ).
fof(f86,negated_conjecture,
! [X0] :
( ~ member(pair(p,X0),parcontract)
| ~ member(pair(yp,X0),parcontract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_2c2) ).
fof(f92,definition,
sF0 = comb_app(combK,p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f93,plain,
comb_app(combK,p) = sF0,
inference(reorient_equations,[],[f92]) ).
fof(f94,definition,
sF1 = comb_app(sF0,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f95,plain,
comb_app(sF0,q) = sF1,
inference(reorient_equations,[],[f94]) ).
fof(f96,definition,
sF2 = pair(sF1,yp),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f97,plain,
pair(sF1,yp) = sF2,
inference(reorient_equations,[],[f96]) ).
fof(f98,plain,
member(sF2,parcontract),
inference(definition_folding,[],[f85,f97,f95,f93]) ).
fof(f99,definition,
! [X0] : sF3(X0) = pair(p,X0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f100,plain,
! [X0] : pair(p,X0) = sF3(X0),
inference(reorient_equations,[],[f99]) ).
fof(f101,definition,
! [X0] : sF4(X0) = pair(yp,X0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f102,plain,
! [X0] : pair(yp,X0) = sF4(X0),
inference(reorient_equations,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ~ member(sF4(X0),parcontract)
| ~ member(sF3(X0),parcontract) ),
inference(definition_folding,[],[f86,f102,f100]) ).
fof(f125,plain,
! [X0] :
( ~ member(pair(sF1,X0),parcontract)
| ap_parcontractE_c1(sF0,q,X0)
| ap_parcontractE_c2(sF0,q,X0)
| ap_parcontractE_c3(sF0,q,X0)
| ap_parcontractE_c4(sF0,q,X0) ),
inference(superposition,[],[f47,f95]) ).
fof(f127,plain,
( member(sF4(yp),parcontract)
| ~ member(yp,comb) ),
inference(superposition,[],[f37,f102]) ).
fof(f128,plain,
( member(sF3(p),parcontract)
| ~ member(p,comb) ),
inference(superposition,[],[f37,f100]) ).
fof(f129,plain,
member(sF3(p),parcontract),
inference(forward_subsumption_resolution,[],[f128,f83]) ).
fof(f131,definition,
( spl5_5
<=> member(yp,comb) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f132,plain,
( member(yp,comb)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f133,plain,
( ~ member(yp,comb)
| spl5_5 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f135,definition,
( spl5_6
<=> member(sF4(yp),parcontract) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f137,plain,
( member(sF4(yp),parcontract)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( ~ spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f127,f135,f131]) ).
fof(f140,plain,
( ~ member(sF2,parcontract)
| ap_parcontractE_c1(sF0,q,yp)
| ap_parcontractE_c2(sF0,q,yp)
| ap_parcontractE_c3(sF0,q,yp)
| ap_parcontractE_c4(sF0,q,yp) ),
inference(superposition,[],[f125,f97]) ).
fof(f141,plain,
( ap_parcontractE_c1(sF0,q,yp)
| ap_parcontractE_c2(sF0,q,yp)
| ap_parcontractE_c3(sF0,q,yp)
| ap_parcontractE_c4(sF0,q,yp) ),
inference(forward_subsumption_resolution,[],[f140,f98]) ).
fof(f164,definition,
( spl5_12
<=> ap_parcontractE_c4(sF0,q,yp) ),
introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition]) ).
fof(f166,plain,
( ap_parcontractE_c4(sF0,q,yp)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f168,definition,
( spl5_13
<=> ap_parcontractE_c3(sF0,q,yp) ),
introduced(definition,[new_symbols(definition,[spl5_13])],[avatar_definition]) ).
fof(f170,plain,
( ap_parcontractE_c3(sF0,q,yp)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f172,definition,
( spl5_14
<=> ap_parcontractE_c2(sF0,q,yp) ),
introduced(definition,[new_symbols(definition,[spl5_14])],[avatar_definition]) ).
fof(f174,plain,
( ap_parcontractE_c2(sF0,q,yp)
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f176,definition,
( spl5_15
<=> ap_parcontractE_c1(sF0,q,yp) ),
introduced(definition,[new_symbols(definition,[spl5_15])],[avatar_definition]) ).
fof(f178,plain,
( ap_parcontractE_c1(sF0,q,yp)
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f179,plain,
( spl5_12
| spl5_13
| spl5_14
| spl5_15 ),
inference(avatar_split_clause,[],[f141,f176,f172,f168,f164]) ).
fof(f180,plain,
( yp = comb_app(ap_parcontractE_sk2q(sF0,q,yp),ap_parcontractE_sk2s(sF0,q,yp))
| ~ spl5_12 ),
inference(resolution,[],[f166,f65]) ).
fof(f185,plain,
! [X0] :
( ~ member(pair(sF0,X0),parcontract)
| comb_app(combK,k1_parcontractD_sk1(p,X0)) = X0 ),
inference(superposition,[],[f67,f93]) ).
fof(f189,plain,
! [X0,X1] :
( comb_app(X0,X1) != sF0
| p = X1 ),
inference(superposition,[],[f5,f93]) ).
fof(f202,plain,
( ~ member(yp,comb)
| member(ap_parcontractE_sk2q(sF0,q,yp),comb)
| ~ spl5_12 ),
inference(superposition,[],[f7,f180]) ).
fof(f217,plain,
! [X0] :
( member(pair(comb_app(sF0,X0),p),parcontract)
| ~ member(X0,comb)
| ~ member(p,comb) ),
inference(superposition,[],[f38,f93]) ).
fof(f218,plain,
! [X0] :
( member(pair(comb_app(sF0,X0),p),parcontract)
| ~ member(X0,comb) ),
inference(forward_subsumption_resolution,[],[f217,f83]) ).
fof(f220,plain,
! [X0] :
( ~ member(pair(sF0,X0),parcontract)
| member(pair(p,k1_parcontractD_sk1(p,X0)),parcontract) ),
inference(superposition,[],[f68,f93]) ).
fof(f221,plain,
! [X0] :
( member(sF3(k1_parcontractD_sk1(p,X0)),parcontract)
| ~ member(pair(sF0,X0),parcontract) ),
inference(forward_demodulation,[],[f220,f100]) ).
fof(f226,plain,
( ~ member(sF2,parcontract)
| member(yp,comb) ),
inference(superposition,[],[f82,f97]) ).
fof(f227,plain,
member(yp,comb),
inference(forward_subsumption_resolution,[],[f226,f98]) ).
fof(f228,plain,
( $false
| spl5_5 ),
inference(forward_subsumption_resolution,[],[f227,f133]) ).
fof(f229,plain,
spl5_5,
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f230,plain,
( member(ap_parcontractE_sk2q(sF0,q,yp),comb)
| ~ spl5_5
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f202,f132]) ).
fof(f232,plain,
( ~ member(sF3(yp),parcontract)
| ~ spl5_6 ),
inference(resolution,[],[f137,f103]) ).
fof(f237,plain,
( member(pair(sF1,p),parcontract)
| ~ member(q,comb) ),
inference(superposition,[],[f218,f95]) ).
fof(f238,plain,
member(pair(sF1,p),parcontract),
inference(forward_subsumption_resolution,[],[f237,f84]) ).
fof(f279,definition,
( spl5_23
<=> p = yp ),
introduced(definition,[new_symbols(definition,[spl5_23])],[avatar_definition]) ).
fof(f280,plain,
( p = yp
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f288,definition,
( spl5_25
<=> yp = sF1 ),
introduced(definition,[new_symbols(definition,[spl5_25])],[avatar_definition]) ).
fof(f289,plain,
( yp = sF1
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f321,plain,
! [X0,X1] :
( ~ ap_parcontractE_c4(sF0,X0,X1)
| ap_parcontractE_sk2q(sF0,X0,X1) = comb_app(combK,k1_parcontractD_sk1(p,ap_parcontractE_sk2q(sF0,X0,X1))) ),
inference(resolution,[],[f62,f185]) ).
fof(f326,plain,
( ap_parcontractE_sk2q(sF0,q,yp) = comb_app(combK,k1_parcontractD_sk1(p,ap_parcontractE_sk2q(sF0,q,yp)))
| ~ spl5_12 ),
inference(resolution,[],[f321,f166]) ).
fof(f329,plain,
( ! [X0] :
( member(pair(comb_app(ap_parcontractE_sk2q(sF0,q,yp),X0),k1_parcontractD_sk1(p,ap_parcontractE_sk2q(sF0,q,yp))),parcontract)
| ~ member(X0,comb)
| ~ member(k1_parcontractD_sk1(p,ap_parcontractE_sk2q(sF0,q,yp)),comb) )
| ~ spl5_12 ),
inference(superposition,[],[f38,f326]) ).
fof(f337,plain,
( ~ member(ap_parcontractE_sk2q(sF0,q,yp),comb)
| member(k1_parcontractD_sk1(p,ap_parcontractE_sk2q(sF0,q,yp)),comb)
| ~ spl5_12 ),
inference(superposition,[],[f8,f326]) ).
fof(f351,plain,
( member(k1_parcontractD_sk1(p,ap_parcontractE_sk2q(sF0,q,yp)),comb)
| ~ spl5_5
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f337,f230]) ).
fof(f354,definition,
( spl5_30
<=> member(k1_parcontractD_sk1(p,ap_parcontractE_sk2q(sF0,q,yp)),comb) ),
introduced(definition,[new_symbols(definition,[spl5_30])],[avatar_definition]) ).
fof(f358,definition,
( spl5_31
<=> ! [X0] :
( member(pair(comb_app(ap_parcontractE_sk2q(sF0,q,yp),X0),k1_parcontractD_sk1(p,ap_parcontractE_sk2q(sF0,q,yp))),parcontract)
| ~ member(X0,comb) ) ),
introduced(definition,[new_symbols(definition,[spl5_31])],[avatar_definition]) ).
fof(f359,plain,
( ! [X0] :
( member(pair(comb_app(ap_parcontractE_sk2q(sF0,q,yp),X0),k1_parcontractD_sk1(p,ap_parcontractE_sk2q(sF0,q,yp))),parcontract)
| ~ member(X0,comb) )
| ~ spl5_31 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f360,plain,
( ~ spl5_30
| spl5_31
| ~ spl5_12 ),
inference(avatar_split_clause,[],[f329,f164,f358,f354]) ).
fof(f361,plain,
( spl5_30
| ~ spl5_5
| ~ spl5_12 ),
inference(avatar_split_clause,[],[f351,f164,f131,f354]) ).
fof(f362,plain,
( sF0 = comb_app(comb_app(combS,ap_parcontractE_sk1p(sF0,q,yp)),ap_parcontractE_sk1q(sF0,q,yp))
| ~ spl5_13 ),
inference(resolution,[],[f170,f61]) ).
fof(f365,plain,
( ! [X0,X1] :
( comb_app(X0,X1) != sF0
| comb_app(combS,ap_parcontractE_sk1p(sF0,q,yp)) = X0 )
| ~ spl5_13 ),
inference(superposition,[],[f4,f362]) ).
fof(f430,plain,
( sF0 != sF0
| combK = comb_app(combS,ap_parcontractE_sk1p(sF0,q,yp))
| ~ spl5_13 ),
inference(superposition,[],[f365,f93]) ).
fof(f434,plain,
( combK = comb_app(combS,ap_parcontractE_sk1p(sF0,q,yp))
| ~ spl5_13 ),
inference(trivial_inequality_removal,[],[f430]) ).
fof(f435,plain,
( $false
| ~ spl5_13 ),
inference(forward_subsumption_resolution,[],[f434,f2]) ).
fof(f436,plain,
~ spl5_13,
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f437,plain,
( sF0 = comb_app(combK,yp)
| ~ spl5_14 ),
inference(resolution,[],[f174,f54]) ).
fof(f643,plain,
( sF0 != sF0
| p = yp
| ~ spl5_14 ),
inference(superposition,[],[f189,f437]) ).
fof(f646,plain,
( p = yp
| ~ spl5_14 ),
inference(trivial_inequality_removal,[],[f643]) ).
fof(f659,plain,
( yp = comb_app(sF0,q)
| ~ spl5_15 ),
inference(resolution,[],[f178,f50]) ).
fof(f660,plain,
( yp = sF1
| ~ spl5_15 ),
inference(forward_demodulation,[],[f659,f95]) ).
fof(f664,plain,
( spl5_23
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f646,f172,f279]) ).
fof(f674,plain,
( ~ member(sF3(p),parcontract)
| ~ spl5_6
| ~ spl5_23 ),
inference(superposition,[],[f232,f280]) ).
fof(f681,plain,
( $false
| ~ spl5_6
| ~ spl5_23 ),
inference(forward_subsumption_resolution,[],[f674,f129]) ).
fof(f682,plain,
( ~ spl5_6
| ~ spl5_23 ),
inference(avatar_contradiction_clause,[],[f681]) ).
fof(f684,plain,
( spl5_25
| ~ spl5_15 ),
inference(avatar_split_clause,[],[f660,f176,f288]) ).
fof(f707,plain,
( yp = comb_app(ap_parcontractE_sk2q(sF0,q,yp),ap_parcontractE_sk2s(sF0,q,yp))
| ~ spl5_12 ),
inference(resolution,[],[f166,f65]) ).
fof(f714,plain,
( ~ member(yp,comb)
| member(ap_parcontractE_sk2s(sF0,q,yp),comb)
| ~ spl5_12 ),
inference(superposition,[],[f8,f707]) ).
fof(f730,definition,
( spl5_56
<=> member(ap_parcontractE_sk2s(sF0,q,yp),comb) ),
introduced(definition,[new_symbols(definition,[spl5_56])],[avatar_definition]) ).
fof(f731,plain,
( member(ap_parcontractE_sk2s(sF0,q,yp),comb)
| ~ spl5_56 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f750,plain,
( member(ap_parcontractE_sk2s(sF0,q,yp),comb)
| ~ spl5_5
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f714,f132]) ).
fof(f752,plain,
( spl5_56
| ~ spl5_5
| ~ spl5_12 ),
inference(avatar_split_clause,[],[f750,f164,f131,f730]) ).
fof(f800,plain,
( member(pair(yp,k1_parcontractD_sk1(p,ap_parcontractE_sk2q(sF0,q,yp))),parcontract)
| ~ member(ap_parcontractE_sk2s(sF0,q,yp),comb)
| ~ spl5_12
| ~ spl5_31 ),
inference(superposition,[],[f359,f707]) ).
fof(f801,plain,
( member(pair(yp,k1_parcontractD_sk1(p,ap_parcontractE_sk2q(sF0,q,yp))),parcontract)
| ~ spl5_12
| ~ spl5_31
| ~ spl5_56 ),
inference(forward_subsumption_resolution,[],[f800,f731]) ).
fof(f802,plain,
( member(sF4(k1_parcontractD_sk1(p,ap_parcontractE_sk2q(sF0,q,yp))),parcontract)
| ~ spl5_12
| ~ spl5_31
| ~ spl5_56 ),
inference(forward_demodulation,[],[f801,f102]) ).
fof(f803,plain,
( ~ member(sF3(k1_parcontractD_sk1(p,ap_parcontractE_sk2q(sF0,q,yp))),parcontract)
| ~ spl5_12
| ~ spl5_31
| ~ spl5_56 ),
inference(resolution,[],[f802,f103]) ).
fof(f804,plain,
( ~ member(pair(sF0,ap_parcontractE_sk2q(sF0,q,yp)),parcontract)
| ~ spl5_12
| ~ spl5_31
| ~ spl5_56 ),
inference(resolution,[],[f803,f221]) ).
fof(f805,plain,
( ~ ap_parcontractE_c4(sF0,q,yp)
| ~ spl5_12
| ~ spl5_31
| ~ spl5_56 ),
inference(resolution,[],[f804,f62]) ).
fof(f806,plain,
( $false
| ~ spl5_12
| ~ spl5_31
| ~ spl5_56 ),
inference(forward_subsumption_resolution,[],[f805,f166]) ).
fof(f807,plain,
( ~ spl5_12
| ~ spl5_31
| ~ spl5_56 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f814,plain,
( ! [X0] : sF4(X0) = pair(sF1,X0)
| ~ spl5_25 ),
inference(superposition,[],[f102,f289]) ).
fof(f835,plain,
( member(sF4(p),parcontract)
| ~ spl5_25 ),
inference(superposition,[],[f238,f814]) ).
fof(f839,plain,
( ~ member(sF3(p),parcontract)
| ~ spl5_25 ),
inference(resolution,[],[f835,f103]) ).
fof(f840,plain,
( $false
| ~ spl5_25 ),
inference(forward_subsumption_resolution,[],[f839,f129]) ).
fof(f841,plain,
~ spl5_25,
inference(avatar_contradiction_clause,[],[f840]) ).
cnf(s5,plain,
( ~ spl5_5
| spl5_6 ),
inference(sat_conversion,[],[f138]) ).
cnf(s7,plain,
( spl5_12
| spl5_13
| spl5_14
| spl5_15 ),
inference(sat_conversion,[],[f179]) ).
cnf(s9,plain,
spl5_5,
inference(sat_conversion,[],[f229]) ).
cnf(s17,plain,
( ~ spl5_12
| ~ spl5_30
| spl5_31 ),
inference(sat_conversion,[],[f360]) ).
cnf(s18,plain,
( ~ spl5_5
| ~ spl5_12
| spl5_30 ),
inference(sat_conversion,[],[f361]) ).
cnf(s22,plain,
~ spl5_13,
inference(sat_conversion,[],[f436]) ).
cnf(s41,plain,
( ~ spl5_14
| spl5_23 ),
inference(sat_conversion,[],[f664]) ).
cnf(s42,plain,
( ~ spl5_6
| ~ spl5_23 ),
inference(sat_conversion,[],[f682]) ).
cnf(s43,plain,
( ~ spl5_15
| spl5_25 ),
inference(sat_conversion,[],[f684]) ).
cnf(s51,plain,
( ~ spl5_5
| ~ spl5_12
| spl5_56 ),
inference(sat_conversion,[],[f752]) ).
cnf(s55,plain,
( ~ spl5_12
| ~ spl5_31
| ~ spl5_56 ),
inference(sat_conversion,[],[f807]) ).
cnf(s59,plain,
~ spl5_25,
inference(sat_conversion,[],[f841]) ).
cnf(s60,plain,
~ spl5_15,
inference(rat,[],[s43,s59]) ).
cnf(s62,plain,
( spl5_12
| spl5_14 ),
inference(rat,[],[s7,s60,s22]) ).
cnf(s63,plain,
spl5_6,
inference(rat,[],[s5,s9]) ).
cnf(s64,plain,
~ spl5_23,
inference(rat,[],[s42,s63]) ).
cnf(s65,plain,
~ spl5_14,
inference(rat,[],[s41,s64]) ).
cnf(s66,plain,
spl5_12,
inference(rat,[],[s62,s65]) ).
cnf(s68,plain,
spl5_56,
inference(rat,[],[s51,s9,s66]) ).
cnf(s69,plain,
spl5_30,
inference(rat,[],[s18,s9,s66]) ).
cnf(s75,plain,
~ spl5_31,
inference(rat,[],[s55,s66,s68]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s17,s66,s75,s69]) ).
fof(f842,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL095-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.16 % Computer : n004.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Mon Sep 28 21:35:52 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 Running first-order theorem proving
% 0.11/0.19 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
% 6.91/1.79 % (814317)Input is clausal, will run a generic CNF schedule.
% 6.91/1.79 % (814326)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=38066327:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.91/1.79 % (814326)Refutation not found, incomplete strategy
% 6.91/1.79 % (814326)------------------------------
% 6.91/1.79 % (814326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.79 % (814326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.79 % (814326)CaDiCaL version: 2.1.3
% 6.91/1.79 % (814326)Termination reason: Refutation not found, incomplete strategy
% 6.91/1.79 % (814326)Time elapsed: 0.002 s
% 6.91/1.79 % (814326)Peak memory usage: 88 MB
% 6.91/1.79 % (814326)Instructions burned: 2 (million)
% 6.91/1.79 % (814322)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=697067991:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.91/1.79 % (814325)lrs+10_1_sil=8000:sp=occurrence:random_seed=3457453073:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.91/1.79 % (814327)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2166728760:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.91/1.79 % (814323)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3397179988:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.91/1.79 % (814328)dis-21_1_sil=8000:lcm=predicate:random_seed=2364799829: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)
% 6.91/1.79 % (814324)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1523682226:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.91/1.79 % (814325)Instruction limit reached!
% 6.91/1.79 % (814325)------------------------------
% 6.91/1.79 % (814325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.79 % (814325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.79 % (814325)CaDiCaL version: 2.1.3
% 6.91/1.79 % (814325)Termination reason: Instruction limit
% 6.91/1.79 % (814325)Termination phase: Saturation
% 6.91/1.79 % (814325)Time elapsed: 0.062 s
% 6.91/1.79 % (814325)Peak memory usage: 88 MB
% 6.91/1.79 % (814325)Instructions burned: 108 (million)
% 6.91/1.79 % (814328)Instruction limit reached!
% 6.91/1.79 % (814328)------------------------------
% 6.91/1.79 % (814328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.79 % (814328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.79 % (814328)CaDiCaL version: 2.1.3
% 6.91/1.79 % (814328)Termination reason: Instruction limit
% 6.91/1.79 % (814328)Termination phase: Saturation
% 6.91/1.79 % (814328)Time elapsed: 0.066 s
% 6.91/1.79 % (814328)Peak memory usage: 89 MB
% 6.91/1.79 % (814328)Instructions burned: 117 (million)
% 6.91/1.79 % (814327)Instruction limit reached!
% 6.91/1.79 % (814327)------------------------------
% 6.91/1.79 % (814327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.79 % (814327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.79 % (814327)CaDiCaL version: 2.1.3
% 6.91/1.79 % (814327)Termination reason: Instruction limit
% 6.91/1.79 % (814327)Termination phase: Saturation
% 6.91/1.79 % (814327)Time elapsed: 0.112 s
% 6.91/1.79 % (814327)Peak memory usage: 90 MB
% 6.91/1.79 % (814327)Instructions burned: 180 (million)
% 6.91/1.79 % (814326)------------------------------
% 6.91/1.79 % (814326)------------------------------
% 6.91/1.79 % (814337)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4032279846: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)
% 6.91/1.79 % (814336)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=3639132752:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.91/1.79 % (814339)lrs+10_64_to=lpo:sil=8000:random_seed=4158486640:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.91/1.79 % (814338)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3739346358:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.91/1.79 % (814338)Refutation not found, incomplete strategy
% 6.91/1.79 % (814338)------------------------------
% 6.91/1.79 % (814338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.79 % (814338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.79 % (814338)CaDiCaL version: 2.1.3
% 6.91/1.79 % (814338)Termination reason: Refutation not found, incomplete strategy
% 6.91/1.79 % (814338)Time elapsed: 0.017 s
% 6.91/1.79 % (814338)Peak memory usage: 88 MB
% 6.91/1.79 % (814338)Instructions burned: 28 (million)
% 6.91/1.79 % (814339)Instruction limit reached!
% 6.91/1.79 % (814339)------------------------------
% 6.91/1.79 % (814339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.79 % (814339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.79 % (814339)CaDiCaL version: 2.1.3
% 6.91/1.79 % (814339)Termination reason: Instruction limit
% 6.91/1.79 % (814339)Termination phase: Saturation
% 6.91/1.79 % (814339)Time elapsed: 0.039 s
% 6.91/1.79 % (814339)Peak memory usage: 89 MB
% 6.91/1.79 % (814339)Instructions burned: 129 (million)
% 6.91/1.79 % (814336)Instruction limit reached!
% 6.91/1.79 % (814336)------------------------------
% 6.91/1.79 % (814336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.79 % (814336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.79 % (814336)CaDiCaL version: 2.1.3
% 6.91/1.79 % (814336)Termination reason: Instruction limit
% 6.91/1.79 % (814336)Termination phase: Saturation
% 6.91/1.79 % (814336)Time elapsed: 0.084 s
% 6.91/1.79 % (814336)Peak memory usage: 89 MB
% 6.91/1.79 % (814336)Instructions burned: 144 (million)
% 6.91/1.79 % (814337)Instruction limit reached!
% 6.91/1.79 % (814337)------------------------------
% 6.91/1.79 % (814337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.79 % (814337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.79 % (814337)CaDiCaL version: 2.1.3
% 6.91/1.79 % (814337)Termination reason: Instruction limit
% 6.91/1.79 % (814337)Termination phase: Saturation
% 6.91/1.79 % (814337)Time elapsed: 0.090 s
% 6.91/1.79 % (814337)Peak memory usage: 90 MB
% 6.91/1.79 % (814337)Instructions burned: 189 (million)
% 6.91/1.79 % (814344)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2210847309:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.91/1.79 % (814345)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4274968424:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.91/1.79 % (814346)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2990463645:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.91/1.79 % (814344)Instruction limit reached!
% 6.91/1.79 % (814344)------------------------------
% 6.91/1.79 % (814344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.79 % (814344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.79 % (814344)CaDiCaL version: 2.1.3
% 6.91/1.79 % (814344)Termination reason: Instruction limit
% 6.91/1.79 % (814344)Termination phase: Saturation
% 6.91/1.79 % (814344)Time elapsed: 0.060 s
% 6.91/1.79 % (814344)Peak memory usage: 90 MB
% 6.91/1.79 % (814344)Instructions burned: 197 (million)
% 6.91/1.79 % (814338)------------------------------
% 6.91/1.79 % (814338)------------------------------
% 6.91/1.79 % (814345)Instruction limit reached!
% 6.91/1.79 % (814345)------------------------------
% 6.91/1.79 % (814345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.79 % (814345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.79 % (814345)CaDiCaL version: 2.1.3
% 6.91/1.79 % (814345)Termination reason: Instruction limit
% 6.91/1.79 % (814345)Termination phase: Saturation
% 6.91/1.79 % (814345)Time elapsed: 0.108 s
% 6.91/1.79 % (814345)Peak memory usage: 91 MB
% 6.91/1.79 % (814345)Instructions burned: 157 (million)
% 6.91/1.79 % (814350)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=2358694602:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.91/1.79 % (814350)Instruction limit reached!
% 6.91/1.79 % (814350)------------------------------
% 6.91/1.79 % (814350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.79 % (814350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.79 % (814350)CaDiCaL version: 2.1.3
% 6.91/1.79 % (814350)Termination reason: Instruction limit
% 6.91/1.79 % (814350)Termination phase: Saturation
% 6.91/1.79 % (814350)Time elapsed: 0.028 s
% 6.91/1.79 % (814350)Peak memory usage: 89 MB
% 6.91/1.79 % (814350)Instructions burned: 110 (million)
% 6.91/1.79 % (814351)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1316957305:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.91/1.79 % (814352)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1553534091:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.91/1.79 % (814322)First to succeed.
% 6.91/1.79 % (814322)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-814317"
% 6.91/1.79 % (814354)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3062930206:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.91/1.79 % (814351)Instruction limit reached!
% 6.91/1.79 % (814351)------------------------------
% 6.91/1.79 % (814351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.79 % (814351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.79 % (814351)CaDiCaL version: 2.1.3
% 6.91/1.79 % (814351)Termination reason: Instruction limit
% 6.91/1.79 % (814351)Termination phase: Saturation
% 6.91/1.79 % (814351)Time elapsed: 0.063 s
% 6.91/1.79 % (814351)Peak memory usage: 89 MB
% 6.91/1.79 % (814351)Instructions burned: 108 (million)
% 6.91/1.79 % (814352)Instruction limit reached!
% 6.91/1.79 % (814352)------------------------------
% 6.91/1.79 % (814352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.91/1.79 % (814352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.79 % (814352)CaDiCaL version: 2.1.3
% 6.91/1.79 % (814352)Termination reason: Instruction limit
% 6.91/1.79 % (814352)Termination phase: Saturation
% 6.91/1.79 % (814352)Time elapsed: 0.133 s
% 6.91/1.79 % (814352)Peak memory usage: 89 MB
% 6.91/1.79 % (814352)Instructions burned: 242 (million)
% 6.91/1.79 % (814358)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4042106935:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 6.91/1.79 % (814322)Refutation found. Thanks to Tanya!
% 6.91/1.79 % SZS status Unsatisfiable for theBenchmark
% 6.91/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 8.69/1.98 % (814322)------------------------------
% 8.69/1.98 % (814322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/1.98 % (814322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.98 % (814322)CaDiCaL version: 2.1.3
% 8.69/1.98 % (814322)Termination reason: Refutation
% 8.69/1.98 % (814322)Time elapsed: 0.720 s
% 8.69/1.98 % (814322)Peak memory usage: 128 MB
% 8.69/1.98 % (814322)Instructions burned: 1056 (million)
% 8.69/1.98 % (814322)------------------------------
% 8.69/1.98 % (814322)------------------------------
% 8.69/1.98 % (814317)Success in time 1.152 s
% 8.69/1.98 % Vampire exiting
%------------------------------------------------------------------------------