%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL090-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 09:38:26 AM UTC 2026
% Result : Unsatisfiable 0.80s 0.41s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 71 ( 22 unt; 8 def)
% Number of atoms : 140 ( 18 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 128 ( 59 ~; 61 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
combK != combS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_s) ).
fof(f3,axiom,
! [X0,X1] : combS != comb_app(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_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(f15,axiom,
! [X2,X0,X1] :
( ~ member(pair(comb_app(X0,X1),X2),contract)
| ap_contractE_c1(X0,X1,X2)
| ap_contractE_c2(X0,X1,X2)
| ap_contractE_c3(X0,X1,X2)
| ap_contractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE1) ).
fof(f18,axiom,
! [X2,X0,X1] :
( ~ ap_contractE_c1(X0,X1,X2)
| X0 = comb_app(combK,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE4) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ ap_contractE_c1(X0,X1,X2)
| comb_app(combK,X2) = X0 ),
inference(reorient_equations,[],[f18]) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ ap_contractE_c2(X0,X1,X2)
| X0 = comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE9) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ ap_contractE_c2(X0,X1,X2)
| comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)) = X0 ),
inference(reorient_equations,[],[f25]) ).
fof(f27,axiom,
! [X2,X0,X1] :
( ~ ap_contractE_c3(X0,X1,X2)
| member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE10) ).
fof(f31,axiom,
! [X2,X0,X1] :
( ~ ap_contractE_c4(X0,X1,X2)
| member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE13) ).
fof(f35,axiom,
! [X0] : ~ member(pair(combK,X0),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_contractE) ).
fof(f36,axiom,
! [X0] : ~ member(pair(combS,X0),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_contractE) ).
fof(f37,negated_conjecture,
member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_contract_E) ).
fof(f100,plain,
( ap_contractE_c1(comb_app(combS,combK),combK,r)
| ap_contractE_c2(comb_app(combS,combK),combK,r)
| ap_contractE_c3(comb_app(combS,combK),combK,r)
| ap_contractE_c4(comb_app(combS,combK),combK,r) ),
inference(resolution,[],[f15,f37]) ).
fof(f102,definition,
( spl0_1
<=> ap_contractE_c4(comb_app(combS,combK),combK,r) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f104,plain,
( ap_contractE_c4(comb_app(combS,combK),combK,r)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f106,definition,
( spl0_2
<=> ap_contractE_c3(comb_app(combS,combK),combK,r) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f108,plain,
( ap_contractE_c3(comb_app(combS,combK),combK,r)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f110,definition,
( spl0_3
<=> ap_contractE_c2(comb_app(combS,combK),combK,r) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f112,plain,
( ap_contractE_c2(comb_app(combS,combK),combK,r)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f114,definition,
( spl0_4
<=> ap_contractE_c1(comb_app(combS,combK),combK,r) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f116,plain,
( ap_contractE_c1(comb_app(combS,combK),combK,r)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f100,f114,f110,f106,f102]) ).
fof(f119,plain,
( member(pair(comb_app(combS,combK),ap_contractE_sk2q(comb_app(combS,combK),combK,r)),contract)
| ~ spl0_2 ),
inference(resolution,[],[f108,f27]) ).
fof(f185,plain,
( ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_2 ),
inference(resolution,[],[f119,f15]) ).
fof(f187,definition,
( spl0_7
<=> ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f189,plain,
( ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f191,definition,
( spl0_8
<=> ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f193,plain,
( ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f195,definition,
( spl0_9
<=> ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f197,plain,
( ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f199,definition,
( spl0_10
<=> ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f201,plain,
( ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f202,plain,
( spl0_7
| spl0_8
| spl0_9
| spl0_10
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f185,f106,f199,f195,f191,f187]) ).
fof(f203,plain,
( comb_app(combS,combK) = comb_app(combK,r)
| ~ spl0_4 ),
inference(resolution,[],[f116,f19]) ).
fof(f211,plain,
( ! [X0,X1] :
( comb_app(X0,X1) != comb_app(combS,combK)
| combK = X0 )
| ~ spl0_4 ),
inference(superposition,[],[f4,f203]) ).
fof(f456,plain,
( combK = combS
| ~ spl0_4 ),
inference(equality_resolution,[],[f211]) ).
fof(f457,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f456,f1]) ).
fof(f458,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f905,plain,
( member(pair(combK,ap_contractE_sk3q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract)
| ~ spl0_7 ),
inference(resolution,[],[f189,f31]) ).
fof(f907,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f905,f35]) ).
fof(f908,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f907]) ).
fof(f910,plain,
( member(pair(combS,ap_contractE_sk2q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract)
| ~ spl0_8 ),
inference(resolution,[],[f193,f27]) ).
fof(f912,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f910,f36]) ).
fof(f913,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f912]) ).
fof(f915,plain,
( combS = comb_app(comb_app(combS,ap_contractE_sk1p(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),ap_contractE_sk1q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)))
| ~ spl0_9 ),
inference(resolution,[],[f197,f26]) ).
fof(f919,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f915,f3]) ).
fof(f920,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f919]) ).
fof(f921,plain,
( combS = comb_app(combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_10 ),
inference(resolution,[],[f201,f19]) ).
fof(f925,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f921,f3]) ).
fof(f926,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f925]) ).
fof(f1151,plain,
( member(pair(combK,ap_contractE_sk3q(comb_app(combS,combK),combK,r)),contract)
| ~ spl0_1 ),
inference(resolution,[],[f104,f31]) ).
fof(f1153,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1151,f35]) ).
fof(f1154,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1156,plain,
( comb_app(combS,combK) = comb_app(comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r)),ap_contractE_sk1q(comb_app(combS,combK),combK,r))
| ~ spl0_3 ),
inference(resolution,[],[f112,f26]) ).
fof(f1216,plain,
( ! [X0,X1] :
( comb_app(X0,X1) != comb_app(combS,combK)
| comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r)) = X0 )
| ~ spl0_3 ),
inference(superposition,[],[f4,f1156]) ).
fof(f1482,plain,
( combS = comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r))
| ~ spl0_3 ),
inference(equality_resolution,[],[f1216]) ).
fof(f1483,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1482,f3]) ).
fof(f1484,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f1483]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f117]) ).
cnf(s3,plain,
( ~ spl0_2
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f202]) ).
cnf(s9,plain,
~ spl0_4,
inference(sat_conversion,[],[f458]) ).
cnf(s11,plain,
~ spl0_7,
inference(sat_conversion,[],[f908]) ).
cnf(s12,plain,
~ spl0_8,
inference(sat_conversion,[],[f913]) ).
cnf(s13,plain,
~ spl0_9,
inference(sat_conversion,[],[f920]) ).
cnf(s15,plain,
~ spl0_10,
inference(sat_conversion,[],[f926]) ).
cnf(s18,plain,
~ spl0_1,
inference(sat_conversion,[],[f1154]) ).
cnf(s32,plain,
~ spl0_3,
inference(sat_conversion,[],[f1484]) ).
cnf(s33,plain,
~ spl0_2,
inference(rat,[],[s3,s15,s13,s12,s11]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s1,s9,s32,s33,s18]) ).
fof(f1485,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL090-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n004.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 21:35:07 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.28 Running first-order model finding
% 0.10/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.80/0.41 % (812627)Will run a generic schedule for satisfiability detection.
% 0.80/0.41 % (812633)% WARNING: option uhcvi not known.
% 0.80/0.41 % (812634)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2633712913:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.80/0.41 % (812632)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1869614193_2999 on theBenchmark for (2999ds/0Mi)
% 0.80/0.41 % (812633)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=471151140:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.80/0.41 % (812636)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1712636928:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.80/0.41 % TRYING [1]
% 0.80/0.41 % TRYING [2]
% 0.80/0.41 % (812635)dis+10_1_sil=32000:sp=arity:random_seed=729708763:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.80/0.41 % TRYING [3]
% 0.80/0.41 % (812638)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3424736027:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.80/0.41 % TRYING [4]
% 0.80/0.41 % (812637)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3815653092:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.41 % TRYING [5]
% 0.80/0.41 % (812637) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-812627-812637"...
% 0.80/0.41 % (812637)...printing done.
% 0.80/0.41 % (812637)Refutation found. Thanks to Tanya!
% 0.80/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.80/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.80/0.41 % (812637)------------------------------
% 0.80/0.41 % (812637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (812637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (812637)CaDiCaL version: 2.1.3
% 0.80/0.41 % (812637)Termination reason: Refutation
% 0.80/0.41 % (812637)Time elapsed: 0.065 s
% 0.80/0.41 % (812637)Peak memory usage: 13 MB
% 0.80/0.41 % (812637)Instructions burned: 63 (million)
% 0.80/0.41 % (812627)Success in time 0.124 s
% 0.80/0.41 % Vampire exiting
%------------------------------------------------------------------------------