%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL090-2 : 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 : 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 09:38:26 AM UTC 2026
% Result : Unsatisfiable 32.02s 6.22s
% Output : Refutation 32.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 79 ( 23 unt; 9 def)
% Number of atoms : 155 ( 23 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 145 ( 69 ~; 67 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 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(f157,axiom,
combK != combS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_s) ).
fof(f159,axiom,
! [X0,X1] : combS != comb_app(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_app) ).
fof(f160,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(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/sandbox/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/sandbox/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/sandbox/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] :
( ~ 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(f187,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(f191,axiom,
! [X0] : ~ member(pair(combK,X0),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_contractE) ).
fof(f192,axiom,
! [X0] : ~ member(pair(combS,X0),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_contractE) ).
fof(f193,negated_conjecture,
member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_contract_E) ).
fof(f210,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,[],[f171,f193]) ).
fof(f213,definition,
( spl0_1
<=> ap_contractE_c4(comb_app(combS,combK),combK,r) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f215,plain,
( ap_contractE_c4(comb_app(combS,combK),combK,r)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f217,definition,
( spl0_2
<=> ap_contractE_c3(comb_app(combS,combK),combK,r) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f219,plain,
( ap_contractE_c3(comb_app(combS,combK),combK,r)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f221,definition,
( spl0_3
<=> ap_contractE_c2(comb_app(combS,combK),combK,r) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f223,plain,
( ap_contractE_c2(comb_app(combS,combK),combK,r)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f225,definition,
( spl0_4
<=> ap_contractE_c1(comb_app(combS,combK),combK,r) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f227,plain,
( ap_contractE_c1(comb_app(combS,combK),combK,r)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f210,f225,f221,f217,f213]) ).
fof(f231,plain,
( member(pair(comb_app(combS,combK),ap_contractE_sk2q(comb_app(combS,combK),combK,r)),contract)
| ~ spl0_2 ),
inference(resolution,[],[f183,f219]) ).
fof(f232,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,[],[f231,f171]) ).
fof(f234,definition,
( spl0_5
<=> ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f236,plain,
( ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f238,definition,
( spl0_6
<=> ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f240,plain,
( ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f242,definition,
( spl0_7
<=> ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f244,plain,
( ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f246,definition,
( spl0_8
<=> ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f248,plain,
( ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f249,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f232,f217,f246,f242,f238,f234]) ).
fof(f252,plain,
( member(pair(combK,ap_contractE_sk3q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract)
| ~ spl0_5 ),
inference(resolution,[],[f187,f236]) ).
fof(f324,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f252,f191]) ).
fof(f325,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f324]) ).
fof(f509,plain,
( member(pair(combK,ap_contractE_sk3q(comb_app(combS,combK),combK,r)),contract)
| ~ spl0_1 ),
inference(resolution,[],[f215,f187]) ).
fof(f514,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f509,f191]) ).
fof(f515,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f534,plain,
( comb_app(combS,combK) = comb_app(combK,r)
| ~ spl0_4 ),
inference(resolution,[],[f227,f175]) ).
fof(f547,plain,
( ! [X0,X1] :
( comb_app(X0,X1) != comb_app(combK,r)
| combS = X0 )
| ~ spl0_4 ),
inference(superposition,[],[f160,f534]) ).
fof(f702,plain,
( combK = combS
| ~ spl0_4 ),
inference(equality_resolution,[],[f547]) ).
fof(f703,plain,
( $false
| ~ spl0_4 ),
inference(global_subsumption,[],[f702,f157]) ).
fof(f704,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f792,plain,
( combS = comb_app(combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_8 ),
inference(resolution,[],[f248,f175]) ).
fof(f886,plain,
( combS != combS
| ~ spl0_8 ),
inference(superposition,[],[f159,f792]) ).
fof(f902,plain,
( $false
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f886]) ).
fof(f903,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f902]) ).
fof(f965,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_7 ),
inference(resolution,[],[f244,f182]) ).
fof(f1410,plain,
( combS != combS
| ~ spl0_7 ),
inference(superposition,[],[f159,f965]) ).
fof(f1443,plain,
( $false
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1410]) ).
fof(f1444,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1558,plain,
( member(pair(combS,ap_contractE_sk2q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract)
| ~ spl0_6 ),
inference(resolution,[],[f240,f183]) ).
fof(f1560,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f1558,f192]) ).
fof(f1561,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f1560]) ).
fof(f1564,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,[],[f223,f182]) ).
fof(f1659,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,[],[f160,f1564]) ).
fof(f1875,definition,
( spl0_209
<=> combS = comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r)) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
fof(f1877,plain,
( combS = comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r))
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f1899,plain,
( combS = comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r))
| ~ spl0_3 ),
inference(equality_resolution,[],[f1659]) ).
fof(f1900,plain,
( spl0_209
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1899,f221,f1875]) ).
fof(f1986,plain,
( combS != combS
| ~ spl0_209 ),
inference(superposition,[],[f159,f1877]) ).
fof(f2014,plain,
( $false
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f1986]) ).
fof(f2015,plain,
~ spl0_209,
inference(avatar_contradiction_clause,[],[f2014]) ).
cnf(s162,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f228]) ).
cnf(s167,plain,
( ~ spl0_2
| spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f249]) ).
cnf(s214,plain,
~ spl0_5,
inference(sat_conversion,[],[f325]) ).
cnf(s310,plain,
~ spl0_1,
inference(sat_conversion,[],[f515]) ).
cnf(s382,plain,
~ spl0_4,
inference(sat_conversion,[],[f704]) ).
cnf(s471,plain,
~ spl0_8,
inference(sat_conversion,[],[f903]) ).
cnf(s728,plain,
~ spl0_7,
inference(sat_conversion,[],[f1444]) ).
cnf(s775,plain,
~ spl0_6,
inference(sat_conversion,[],[f1561]) ).
cnf(s965,plain,
( ~ spl0_3
| spl0_209 ),
inference(sat_conversion,[],[f1900]) ).
cnf(s994,plain,
~ spl0_209,
inference(sat_conversion,[],[f2015]) ).
cnf(s1043,plain,
~ spl0_3,
inference(rat,[],[s965,s994]) ).
cnf(s1045,plain,
~ spl0_2,
inference(rat,[],[s167,s471,s728,s775,s214]) ).
cnf(s1046,plain,
$false,
inference(rat,[],[s162,s382,s1043,s1045,s310]) ).
fof(f2139,plain,
$false,
inference(avatar_sat_refutation,[],[s1046]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL090-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 21:34:51 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 8.38/1.56 % (1608742)Will run a generic schedule for satisfiability detection.
% 8.38/1.56 % (1608747)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1028795561_2999 on theBenchmark for (2999ds/0Mi)
% 8.38/1.56 % (1608748)% WARNING: option uhcvi not known.
% 8.38/1.56 % TRYING [1]
% 8.38/1.56 % TRYING [2]
% 8.38/1.56 % (1608748)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3705220742:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.38/1.56 % (1608749)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=130685568:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.38/1.56 % (1608750)dis+10_1_sil=32000:sp=arity:random_seed=3725685154:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.38/1.56 % (1608752)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1437264254:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.38/1.56 % (1608751)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1744880941:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.38/1.56 % (1608753)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2646190879:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.38/1.57 % TRYING [3]
% 8.38/1.57 % (1608750)Instruction limit reached!
% 8.38/1.57 % (1608750)------------------------------
% 8.38/1.57 % (1608750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.57 % (1608750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.57 % (1608750)CaDiCaL version: 2.1.3
% 8.38/1.57 % (1608750)Termination reason: Instruction limit
% 8.38/1.57 % (1608750)Termination phase: Saturation
% 8.38/1.57 % (1608750)Time elapsed: 0.065 s
% 8.38/1.57 % (1608750)Peak memory usage: 13 MB
% 8.38/1.57 % (1608750)Instructions burned: 106 (million)
% 8.38/1.57 % (1608751)Instruction limit reached!
% 8.38/1.57 % (1608751)------------------------------
% 8.38/1.57 % (1608751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.57 % (1608751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.57 % (1608751)CaDiCaL version: 2.1.3
% 8.38/1.57 % (1608751)Termination reason: Instruction limit
% 8.38/1.57 % (1608751)Termination phase: Saturation
% 8.38/1.57 % (1608751)Time elapsed: 0.071 s
% 8.38/1.57 % (1608751)Peak memory usage: 13 MB
% 8.38/1.57 % (1608751)Instructions burned: 117 (million)
% 8.38/1.57 % (1608753)Instruction limit reached!
% 8.38/1.57 % (1608753)------------------------------
% 8.38/1.57 % (1608753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.57 % (1608753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.57 % (1608753)CaDiCaL version: 2.1.3
% 8.38/1.57 % (1608753)Termination reason: Instruction limit
% 8.38/1.57 % (1608753)Termination phase: Saturation
% 8.38/1.57 % (1608753)Time elapsed: 0.074 s
% 8.38/1.57 % (1608753)Peak memory usage: 13 MB
% 8.38/1.57 % (1608753)Instructions burned: 160 (million)
% 8.38/1.57 % TRYING [4]
% 8.38/1.57 % (1608752)Instruction limit reached!
% 8.38/1.57 % (1608752)------------------------------
% 8.38/1.57 % (1608752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.57 % (1608752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.57 % (1608752)CaDiCaL version: 2.1.3
% 8.38/1.57 % (1608752)Termination reason: Instruction limit
% 8.38/1.57 % (1608752)Termination phase: Saturation
% 8.38/1.57 % (1608752)Time elapsed: 0.080 s
% 8.38/1.57 % (1608752)Peak memory usage: 13 MB
% 8.38/1.57 % (1608752)Instructions burned: 131 (million)
% 8.38/1.57 % (1608761)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3763403034:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.38/1.57 % (1608762)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3663496864:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.38/1.57 % (1608763)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3668290693:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.38/1.57 % (1608764)ott-21_1_sil=16000:fs=off:random_seed=2855403509:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.38/1.57 % TRYING [1]
% 8.38/1.57 % TRYING [2]
% 8.38/1.57 % TRYING [3]
% 8.38/1.57 % (1608762)Instruction limit reached!
% 8.38/1.57 % (1608762)------------------------------
% 8.38/1.57 % (1608762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.57 % (1608762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.28/4.99 % (1608762)CaDiCaL version: 2.1.3
% 32.28/4.99 % (1608762)Termination reason: Instruction limit
% 32.28/4.99 % (1608762)Termination phase: Saturation
% 32.28/4.99 % (1608762)Time elapsed: 0.079 s
% 32.28/4.99 % (1608762)Peak memory usage: 14 MB
% 32.28/4.99 % (1608762)Instructions burned: 135 (million)
% 32.28/4.99 % (1608769)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1184731486:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 32.28/4.99 % (1608764)Instruction limit reached!
% 32.28/4.99 % (1608764)------------------------------
% 32.28/4.99 % (1608764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.28/4.99 % (1608764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.28/4.99 % (1608764)CaDiCaL version: 2.1.3
% 32.28/4.99 % (1608764)Termination reason: Instruction limit
% 32.28/4.99 % (1608764)Termination phase: Saturation
% 32.28/4.99 % (1608764)Time elapsed: 0.094 s
% 32.28/4.99 % (1608764)Peak memory usage: 13 MB
% 32.28/4.99 % (1608764)Instructions burned: 180 (million)
% 32.28/4.99 % (1608771)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2313292169:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 32.28/4.99 % TRYING [1]
% 32.28/4.99 % TRYING [2]
% 32.28/4.99 % TRYING [3]
% 32.28/4.99 % TRYING [4]
% 32.28/4.99 % (1608761)Instruction limit reached!
% 32.28/4.99 % (1608761)------------------------------
% 32.28/4.99 % (1608761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.28/4.99 % (1608761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.28/4.99 % (1608761)CaDiCaL version: 2.1.3
% 32.28/4.99 % (1608761)Termination reason: Instruction limit
% 32.28/4.99 % (1608761)Termination phase: Finite model building constraint generation
% 32.28/4.99 % (1608761)Time elapsed: 0.273 s
% 32.28/4.99 % (1608761)Peak memory usage: 33 MB
% 32.28/4.99 % (1608761)Instructions burned: 715 (million)
% 32.28/4.99 % (1608773)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4027508344:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 32.28/4.99 % (1608763)Instruction limit reached!
% 32.28/4.99 % (1608763)------------------------------
% 32.28/4.99 % (1608763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.28/4.99 % (1608763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.28/4.99 % (1608763)CaDiCaL version: 2.1.3
% 32.28/4.99 % (1608763)Termination reason: Instruction limit
% 32.28/4.99 % (1608763)Termination phase: Saturation
% 32.28/4.99 % (1608763)Time elapsed: 0.399 s
% 32.28/4.99 % (1608763)Peak memory usage: 19 MB
% 32.28/4.99 % (1608763)Instructions burned: 684 (million)
% 32.28/4.99 % (1608769)Instruction limit reached!
% 32.28/4.99 % (1608769)------------------------------
% 32.28/4.99 % (1608769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.28/4.99 % (1608769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.28/4.99 % (1608769)CaDiCaL version: 2.1.3
% 32.28/4.99 % (1608769)Termination reason: Instruction limit
% 32.28/4.99 % (1608769)Termination phase: Saturation
% 32.28/4.99 % (1608769)Time elapsed: 0.323 s
% 32.28/4.99 % (1608769)Peak memory usage: 14 MB
% 32.28/4.99 % (1608769)Instructions burned: 477 (million)
% 32.28/4.99 % (1608775)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2811165362:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 32.28/4.99 % (1608775)Cannot represent all propositional literals internally
% 32.28/4.99 % (1608775)Refutation not found, incomplete strategy
% 32.28/4.99 % (1608775)------------------------------
% 32.28/4.99 % (1608775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.28/4.99 % (1608775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.28/4.99 % (1608775)CaDiCaL version: 2.1.3
% 32.28/4.99 % (1608775)Termination reason: Refutation not found, incomplete strategy
% 32.28/4.99 % (1608775)Time elapsed: 0.011 s
% 32.28/4.99 % (1608775)Peak memory usage: 10 MB
% 32.28/4.99 % (1608775)Instructions burned: 21 (million)
% 32.28/4.99 % (1608775)------------------------------
% 32.28/4.99 % (1608775)------------------------------
% 32.28/4.99 % (1608777)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2696887650:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 32.28/4.99 % (1608778)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3364964656:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 32.02/6.22 % (1608771)Instruction limit reached!
% 32.02/6.22 % (1608771)------------------------------
% 32.02/6.22 % (1608771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608771)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608771)Termination reason: Instruction limit
% 32.02/6.22 % (1608771)Termination phase: Finite model building SAT solving
% 32.02/6.22 % (1608771)Time elapsed: 0.345 s
% 32.02/6.22 % (1608771)Peak memory usage: 31 MB
% 32.02/6.22 % (1608771)Instructions burned: 865 (million)
% 32.02/6.22 % (1608781)fmb+10_1_sil=64000:random_seed=1544403869:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 32.02/6.22 % TRYING [1]
% 32.02/6.22 % TRYING [2]
% 32.02/6.22 % TRYING [3]
% 32.02/6.22 % TRYING [5]
% 32.02/6.22 % (1608777)Instruction limit reached!
% 32.02/6.22 % (1608777)------------------------------
% 32.02/6.22 % (1608777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608777)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608777)Termination reason: Instruction limit
% 32.02/6.22 % (1608777)Termination phase: Saturation
% 32.02/6.22 % (1608777)Time elapsed: 0.384 s
% 32.02/6.22 % (1608777)Peak memory usage: 20 MB
% 32.02/6.22 % (1608777)Instructions burned: 693 (million)
% 32.02/6.22 % (1608783)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2150042111:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 32.02/6.22 % (1608783)Cannot represent all propositional literals internally
% 32.02/6.22 % (1608783)Refutation not found, incomplete strategy
% 32.02/6.22 % (1608783)------------------------------
% 32.02/6.22 % (1608783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608783)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608783)Termination reason: Refutation not found, incomplete strategy
% 32.02/6.22 % (1608783)Time elapsed: 0.011 s
% 32.02/6.22 % (1608783)Peak memory usage: 10 MB
% 32.02/6.22 % (1608783)Instructions burned: 21 (million)
% 32.02/6.22 % (1608783)------------------------------
% 32.02/6.22 % (1608783)------------------------------
% 32.02/6.22 % (1608785)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4042018107:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 32.02/6.22 % TRYING [8]
% 32.02/6.22 % (1608778)Instruction limit reached!
% 32.02/6.22 % (1608778)------------------------------
% 32.02/6.22 % (1608778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608778)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608778)Termination reason: Instruction limit
% 32.02/6.22 % (1608778)Termination phase: Saturation
% 32.02/6.22 % (1608778)Time elapsed: 0.463 s
% 32.02/6.22 % (1608778)Peak memory usage: 20 MB
% 32.02/6.22 % (1608778)Instructions burned: 880 (million)
% 32.02/6.22 % (1608787)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2243337645:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 32.02/6.22 % (1608773)Instruction limit reached!
% 32.02/6.22 % (1608773)------------------------------
% 32.02/6.22 % (1608773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608773)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608773)Termination reason: Instruction limit
% 32.02/6.22 % (1608773)Termination phase: Saturation
% 32.02/6.22 % (1608773)Time elapsed: 0.715 s
% 32.02/6.22 % (1608773)Peak memory usage: 28 MB
% 32.02/6.22 % (1608773)Instructions burned: 1180 (million)
% 32.02/6.22 % TRYING [4]
% 32.02/6.22 % (1608789)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1156377962:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 32.02/6.22 % (1608785)Instruction limit reached!
% 32.02/6.22 % (1608785)------------------------------
% 32.02/6.22 % (1608785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608785)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608785)Termination reason: Instruction limit
% 32.02/6.22 % (1608785)Termination phase: Finite model building constraint generation
% 32.02/6.22 % (1608785)Time elapsed: 0.323 s
% 32.02/6.22 % (1608785)Peak memory usage: 68 MB
% 32.02/6.22 % (1608785)Instructions burned: 922 (million)
% 32.02/6.22 % (1608791)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2573251454:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 32.02/6.22 % (1608791)Cannot represent all propositional literals internally
% 32.02/6.22 % (1608791)Refutation not found, incomplete strategy
% 32.02/6.22 % (1608791)------------------------------
% 32.02/6.22 % (1608791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608791)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608791)Termination reason: Refutation not found, incomplete strategy
% 32.02/6.22 % (1608791)Time elapsed: 0.012 s
% 32.02/6.22 % (1608791)Peak memory usage: 11 MB
% 32.02/6.22 % (1608791)Instructions burned: 22 (million)
% 32.02/6.22 % (1608791)------------------------------
% 32.02/6.22 % (1608791)------------------------------
% 32.02/6.22 % (1608793)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2172303509:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 32.02/6.22 % (1608793)Cannot represent all propositional literals internally
% 32.02/6.22 % (1608793)Refutation not found, incomplete strategy
% 32.02/6.22 % (1608793)------------------------------
% 32.02/6.22 % (1608793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608793)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608793)Termination reason: Refutation not found, incomplete strategy
% 32.02/6.22 % (1608793)Time elapsed: 0.057 s
% 32.02/6.22 % (1608793)Peak memory usage: 12 MB
% 32.02/6.22 % (1608793)Instructions burned: 118 (million)
% 32.02/6.22 % (1608793)------------------------------
% 32.02/6.22 % (1608793)------------------------------
% 32.02/6.22 % (1608795)ott-2_1_sil=16000:newcnf=on:random_seed=3862671374:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 32.02/6.22 % (1608789)Instruction limit reached!
% 32.02/6.22 % (1608789)------------------------------
% 32.02/6.22 % (1608789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608789)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608789)Termination reason: Instruction limit
% 32.02/6.22 % (1608789)Termination phase: Saturation
% 32.02/6.22 % (1608789)Time elapsed: 0.621 s
% 32.02/6.22 % (1608789)Peak memory usage: 20 MB
% 32.02/6.22 % (1608789)Instructions burned: 1474 (million)
% 32.02/6.22 % (1608797)ott+10_1_sil=32000:tgt=ground:random_seed=3768128909:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 32.02/6.22 % (1608795)Instruction limit reached!
% 32.02/6.22 % (1608795)------------------------------
% 32.02/6.22 % (1608795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608795)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608795)Termination reason: Instruction limit
% 32.02/6.22 % (1608795)Termination phase: Saturation
% 32.02/6.22 % (1608795)Time elapsed: 0.535 s
% 32.02/6.22 % (1608795)Peak memory usage: 22 MB
% 32.02/6.22 % (1608795)Instructions burned: 870 (million)
% 32.02/6.22 % (1608799)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3487270764:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 32.02/6.22 % TRYING [1]
% 32.02/6.22 % TRYING [2]
% 32.02/6.22 % TRYING [3]
% 32.02/6.22 % TRYING [4]
% 32.02/6.22 % TRYING [5]
% 32.02/6.22 % (1608787)Instruction limit reached!
% 32.02/6.22 % (1608787)------------------------------
% 32.02/6.22 % (1608787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608787)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608787)Termination reason: Instruction limit
% 32.02/6.22 % (1608787)Termination phase: Saturation
% 32.02/6.22 % (1608787)Time elapsed: 2.776 s
% 32.02/6.22 % (1608787)Peak memory usage: 50 MB
% 32.02/6.22 % (1608787)Instructions burned: 5131 (million)
% 32.02/6.22 % (1608802)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2949063822:i=3512:aac=none_2961 on theBenchmark for (2961ds/3512Mi)
% 32.02/6.22 % TRYING [5]
% 32.02/6.22 % (1608797)Instruction limit reached!
% 32.02/6.22 % (1608797)------------------------------
% 32.02/6.22 % (1608797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608797)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608797)Termination reason: Instruction limit
% 32.02/6.22 % (1608797)Termination phase: Saturation
% 32.02/6.22 % (1608797)Time elapsed: 2.957 s
% 32.02/6.22 % (1608797)Peak memory usage: 58 MB
% 32.02/6.22 % (1608797)Instructions burned: 5115 (million)
% 32.02/6.22 % (1608804)dis+21_1_sil=32000:sas=cadical:random_seed=3645157998:i=3773:amm=off_2952 on theBenchmark for (2952ds/3773Mi)
% 32.02/6.22 % (1608802)Instruction limit reached!
% 32.02/6.22 % (1608802)------------------------------
% 32.02/6.22 % (1608802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608802)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608802)Termination reason: Instruction limit
% 32.02/6.22 % (1608802)Termination phase: Saturation
% 32.02/6.22 % (1608802)Time elapsed: 1.886 s
% 32.02/6.22 % (1608802)Peak memory usage: 34 MB
% 32.02/6.22 % (1608802)Instructions burned: 3512 (million)
% 32.02/6.22 % (1608806)ott+11_1_sil=16000:gs=on:random_seed=1445887743:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2942 on theBenchmark for (2942ds/2251Mi)
% 32.02/6.22 % (1608806) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1608742-1608806"...
% 32.02/6.22 % (1608806)...printing done.
% 32.02/6.22 % (1608806)Refutation found. Thanks to Tanya!
% 32.02/6.22 % SZS status Unsatisfiable for theBenchmark
% 32.02/6.22 % SZS output start Proof for theBenchmark
% See solution above
% 32.02/6.22 % (1608806)------------------------------
% 32.02/6.22 % (1608806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.02/6.22 % (1608806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.02/6.22 % (1608806)CaDiCaL version: 2.1.3
% 32.02/6.22 % (1608806)Termination reason: Refutation
% 32.02/6.22 % (1608806)Time elapsed: 0.097 s
% 32.02/6.22 % (1608806)Peak memory usage: 14 MB
% 32.02/6.22 % (1608806)Instructions burned: 142 (million)
% 32.02/6.22 % (1608742)Success in time 5.99 s
% 32.02/6.22 % Vampire exiting
%------------------------------------------------------------------------------