%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL091-2 : 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 : n026.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 3.47s 1.17s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 12 unt; 3 def)
% Number of atoms : 81 ( 13 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 77 ( 38 ~; 36 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f158,axiom,
! [X0,X1] : combK != comb_app(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_app) ).
fof(f171,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/sandbox2/benchmark/theBenchmark.p',ap_contractE1) ).
fof(f174,axiom,
! [X2,X0,X1] :
( ~ ap_contractE_c1(X0,X1,X2)
| X0 = comb_app(combK,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE4) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ ap_contractE_c1(X0,X1,X2)
| comb_app(combK,X2) = X0 ),
inference(reorient_equations,[],[f174]) ).
fof(f181,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/sandbox2/benchmark/theBenchmark.p',ap_contractE9) ).
fof(f182,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,[],[f181]) ).
fof(f183,axiom,
! [X2,X0,X1] :
( member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract)
| ~ ap_contractE_c3(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE10) ).
fof(f187,axiom,
! [X2,X0,X1] :
( member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract)
| ~ ap_contractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE13) ).
fof(f189,axiom,
! [X2,X0,X1] :
( ~ ap_contractE_c4(X0,X1,X2)
| X2 = comb_app(X0,ap_contractE_sk3q(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE15) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ ap_contractE_c4(X0,X1,X2)
| comb_app(X0,ap_contractE_sk3q(X0,X1,X2)) = X2 ),
inference(reorient_equations,[],[f189]) ).
fof(f191,axiom,
! [X0] : ~ member(pair(combK,X0),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_contractE) ).
fof(f193,axiom,
member(pair(comb_app(combK,p),r),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_contractD_h1) ).
fof(f194,negated_conjecture,
! [X0] :
( r != comb_app(combK,X0)
| ~ member(pair(p,X0),contract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_contractD_c1) ).
fof(f195,plain,
! [X0] :
( comb_app(combK,X0) != r
| ~ member(pair(p,X0),contract) ),
inference(reorient_equations,[],[f194]) ).
fof(f204,plain,
! [X0,X1] : ~ ap_contractE_c3(combK,X0,X1),
inference(resolution,[],[f183,f191]) ).
fof(f208,plain,
( ap_contractE_c1(combK,p,r)
| ap_contractE_c2(combK,p,r)
| ap_contractE_c3(combK,p,r)
| ap_contractE_c4(combK,p,r) ),
inference(resolution,[],[f171,f193]) ).
fof(f212,plain,
( ap_contractE_c1(combK,p,r)
| ap_contractE_c2(combK,p,r)
| ap_contractE_c4(combK,p,r) ),
inference(forward_subsumption_resolution,[],[f208,f204]) ).
fof(f214,definition,
( spl0_1
<=> ap_contractE_c4(combK,p,r) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f216,plain,
( ap_contractE_c4(combK,p,r)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f218,definition,
( spl0_2
<=> ap_contractE_c2(combK,p,r) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f220,plain,
( ap_contractE_c2(combK,p,r)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_3
<=> ap_contractE_c1(combK,p,r) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f224,plain,
( ap_contractE_c1(combK,p,r)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f212,f222,f218,f214]) ).
fof(f227,plain,
( combK = comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r))
| ~ spl0_2 ),
inference(resolution,[],[f220,f182]) ).
fof(f229,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f227,f158]) ).
fof(f230,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f232,plain,
( combK = comb_app(combK,r)
| ~ spl0_3 ),
inference(resolution,[],[f224,f175]) ).
fof(f235,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f232,f158]) ).
fof(f236,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f237,plain,
( r = comb_app(combK,ap_contractE_sk3q(combK,p,r))
| ~ spl0_1 ),
inference(resolution,[],[f216,f190]) ).
fof(f240,plain,
( r != r
| ~ member(pair(p,ap_contractE_sk3q(combK,p,r)),contract)
| ~ spl0_1 ),
inference(superposition,[],[f195,f237]) ).
fof(f253,plain,
( ~ member(pair(p,ap_contractE_sk3q(combK,p,r)),contract)
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f240]) ).
fof(f287,plain,
( ~ ap_contractE_c4(combK,p,r)
| ~ spl0_1 ),
inference(resolution,[],[f253,f187]) ).
fof(f288,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f287,f216]) ).
fof(f289,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f288]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f225]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f230]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f236]) ).
cnf(s9,plain,
~ spl0_1,
inference(sat_conversion,[],[f289]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s3,s2,s9]) ).
fof(f290,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL091-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 21:38:27 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.47/1.17 % (102738)Input is clausal, will run a generic CNF schedule.
% 3.47/1.17 % (102749)dis-21_1_sil=8000:lcm=predicate:random_seed=1706520112: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)
% 3.47/1.17 % (102748)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4035564003:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.17 % (102743)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=3162803812:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.17 % (102747)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3920118633:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.17 % (102746)lrs+10_1_sil=8000:sp=occurrence:random_seed=1158108625:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.17 % (102745)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1281922236:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.17 % (102744)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3944898921:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.17 % (102747)Refutation not found, incomplete strategy
% 3.47/1.17 % (102747)------------------------------
% 3.47/1.17 % (102747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.17 % (102747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.17 % (102747)CaDiCaL version: 2.1.3
% 3.47/1.17 % (102747)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.17 % (102747)Time elapsed: 0.002 s
% 3.47/1.17 % (102747)Peak memory usage: 88 MB
% 3.47/1.17 % (102747)Instructions burned: 2 (million)
% 3.47/1.17 % (102749)Instruction limit reached!
% 3.47/1.17 % (102749)------------------------------
% 3.47/1.17 % (102749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.17 % (102749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.17 % (102749)CaDiCaL version: 2.1.3
% 3.47/1.17 % (102749)Termination reason: Instruction limit
% 3.47/1.17 % (102749)Termination phase: Saturation
% 3.47/1.17 % (102749)Time elapsed: 0.044 s
% 3.47/1.17 % (102749)Peak memory usage: 89 MB
% 3.47/1.17 % (102749)Instructions burned: 119 (million)
% 3.47/1.17 % (102746)First to succeed.
% 3.47/1.17 % (102746)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-102738"
% 3.47/1.17 % (102748)Also succeeded, but the first one will report.
% 3.47/1.17 % (102757)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=2181007020:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.47/1.17 % (102757)Refutation not found, incomplete strategy
% 3.47/1.17 % (102757)------------------------------
% 3.47/1.17 % (102757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.17 % (102757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.17 % (102757)CaDiCaL version: 2.1.3
% 3.47/1.17 % (102757)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.17 % (102757)Time elapsed: 0.003 s
% 3.47/1.17 % (102757)Peak memory usage: 88 MB
% 3.47/1.17 % (102757)Instructions burned: 5 (million)
% 3.47/1.17 % (102757)------------------------------
% 3.47/1.17 % (102757)------------------------------
% 3.47/1.17 % (102747)------------------------------
% 3.47/1.17 % (102747)------------------------------
% 3.47/1.17 % (102746)Refutation found. Thanks to Tanya!
% 3.47/1.17 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.17 % (102746)------------------------------
% 3.47/1.17 % (102746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.17 % (102746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.17 % (102746)CaDiCaL version: 2.1.3
% 3.47/1.17 % (102746)Termination reason: Refutation
% 3.47/1.17 % (102746)Time elapsed: 0.005 s
% 3.47/1.17 % (102746)Peak memory usage: 89 MB
% 3.47/1.17 % (102746)Instructions burned: 5 (million)
% 3.47/1.17 % (102746)------------------------------
% 3.47/1.17 % (102746)------------------------------
% 3.47/1.17 % (102738)Success in time 0.417 s
% 3.47/1.17 % Vampire exiting
%------------------------------------------------------------------------------