%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO528+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 09:54:40 AM UTC 2026
% Result : Theorem 0.92s 0.57s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 20 unt; 3 def)
% Number of atoms : 155 ( 49 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 155 ( 62 ~; 80 |; 10 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 77 ( 0 sgn 73 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f146,axiom,
! [X0,X1] : s_m(X0,midpoint(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_22) ).
fof(f184,axiom,
! [X0,X1,X2] :
( ( X0 = X1
| s_col(X0,X1,midpoint(X2,reflect(X0,X1,X2))) )
& ( X0 = X1
| X2 = reflect(X0,X1,X2)
| perp(X0,X1,X2,reflect(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_2a) ).
fof(f187,axiom,
! [X0,X1,X2] :
( X0 = X1
| reflect(X0,X1,reflect(X0,X1,X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_5) ).
fof(f190,axiom,
! [X0,X1,X2] :
( X0 = X1
| reflect(X0,X1,X2) != X2
| s_col(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_8a) ).
fof(f191,axiom,
! [X0,X1,X2] :
( X0 = X1
| ~ s_col(X0,X1,X2)
| reflect(X0,X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_8b) ).
fof(f198,conjecture,
! [X0,X1,X2,X3] :
( X0 = X1
| reflect(X0,X1,X2) != X3
| s_col(X0,X1,X2)
| opposite(X2,X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz10_14) ).
fof(f199,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( X0 = X1
| reflect(X0,X1,X2) != X3
| s_col(X0,X1,X2)
| opposite(X2,X0,X1,X3) ),
inference(negated_conjecture,[status(cth)],[f198]) ).
fof(f208,axiom,
! [X0,X1,X2] :
( ( ~ s_m(X0,X1,X2)
| s_t(X0,X1,X2) )
& ( ~ s_m(X0,X1,X2)
| s_e(X1,X0,X1,X2) )
& ( ~ s_t(X0,X1,X2)
| ~ s_e(X1,X0,X1,X2)
| s_m(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn7_1) ).
fof(f213,axiom,
! [X0,X1,X2,X3,X4] :
( ( X0 = X1
| s_col(X0,X1,X2)
| s_col(X0,X1,X3)
| ~ s_t(X2,X4,X3)
| ~ s_col(X0,X1,X4)
| opposite(X2,X0,X1,X3) )
& ( ~ opposite(X2,X0,X1,X3)
| ~ s_col(X0,X1,X2) )
& ( ~ opposite(X2,X0,X1,X3)
| ~ s_col(X0,X1,X3) )
& ( ~ opposite(X2,X0,X1,X3)
| s_t(X2,il(X2,X3,X0,X1),X3) )
& ( ~ opposite(X2,X0,X1,X3)
| s_col(X0,X1,il(X2,X3,X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn9_1) ).
fof(f215,plain,
? [X0,X1,X2,X3] :
( X0 != X1
& reflect(X0,X1,X2) = X3
& ~ s_col(X0,X1,X2)
& ~ opposite(X2,X0,X1,X3) ),
inference(ennf_transformation,[],[f199]) ).
fof(f389,plain,
! [X0,X1] : s_m(X0,midpoint(X0,X1),X1),
inference(cnf_transformation,[],[f146]) ).
fof(f428,plain,
! [X2,X0,X1] :
( s_col(X0,X1,midpoint(X2,reflect(X0,X1,X2)))
| X0 = X1 ),
inference(cnf_transformation,[],[f184]) ).
fof(f433,plain,
! [X2,X0,X1] :
( reflect(X0,X1,reflect(X0,X1,X2)) = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f187]) ).
fof(f436,plain,
! [X2,X0,X1] :
( s_col(X0,X1,X2)
| reflect(X0,X1,X2) != X2
| X0 = X1 ),
inference(cnf_transformation,[],[f190]) ).
fof(f437,plain,
! [X2,X0,X1] :
( reflect(X0,X1,X2) = X2
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f191]) ).
fof(f444,plain,
~ opposite(sK2,sK0,sK1,sK3),
inference(cnf_transformation,[],[f215]) ).
fof(f445,plain,
~ s_col(sK0,sK1,sK2),
inference(cnf_transformation,[],[f215]) ).
fof(f446,plain,
sK3 = reflect(sK0,sK1,sK2),
inference(cnf_transformation,[],[f215]) ).
fof(f447,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f215]) ).
fof(f484,plain,
! [X2,X0,X1] :
( ~ s_m(X0,X1,X2)
| s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f208]) ).
fof(f506,plain,
! [X2,X3,X0,X1,X4] :
( opposite(X2,X0,X1,X3)
| ~ s_col(X0,X1,X4)
| ~ s_t(X2,X4,X3)
| s_col(X0,X1,X3)
| s_col(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f213]) ).
fof(f700,plain,
! [X2,X0,X1] :
( ~ s_col(X0,X1,midpoint(X2,reflect(X0,X1,X2)))
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f428]) ).
fof(f703,plain,
! [X2,X0,X1] :
( reflect(X0,X1,X2) != X2
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f436]) ).
fof(f704,plain,
! [X2,X0,X1] :
( s_col(X0,X1,X2)
| reflect(X0,X1,X2) = X2
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f437]) ).
fof(f711,plain,
s_col(sK0,sK1,sK2),
inference(consistent_polarity_flipping,[],[f445]) ).
fof(f712,plain,
opposite(sK2,sK0,sK1,sK3),
inference(consistent_polarity_flipping,[],[f444]) ).
fof(f766,plain,
! [X2,X3,X0,X1,X4] :
( ~ opposite(X2,X0,X1,X3)
| s_col(X0,X1,X4)
| ~ s_t(X2,X4,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f506]) ).
fof(f834,plain,
! [X0,X1] : s_t(X0,midpoint(X0,X1),X1),
inference(resolution,[],[f484,f389]) ).
fof(f999,plain,
( sK2 = reflect(sK0,sK1,sK3)
| sK0 = sK1 ),
inference(superposition,[],[f433,f446]) ).
fof(f1000,plain,
sK2 = reflect(sK0,sK1,sK3),
inference(forward_subsumption_resolution,[],[f999,f447]) ).
fof(f1068,plain,
( ~ s_col(sK0,sK1,midpoint(sK2,sK3))
| sK0 = sK1 ),
inference(superposition,[],[f700,f446]) ).
fof(f1073,plain,
~ s_col(sK0,sK1,midpoint(sK2,sK3)),
inference(forward_subsumption_resolution,[],[f1068,f447]) ).
fof(f1151,plain,
( sK2 != sK3
| ~ s_col(sK0,sK1,sK2)
| sK0 = sK1 ),
inference(superposition,[],[f703,f446]) ).
fof(f1156,plain,
( sK2 != sK3
| sK0 = sK1 ),
inference(forward_subsumption_resolution,[],[f1151,f711]) ).
fof(f1158,definition,
( spl4_7
<=> s_col(sK0,sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f1160,plain,
( ~ s_col(sK0,sK1,sK3)
| spl4_7 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1162,definition,
( spl4_8
<=> sK2 = sK3 ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f1164,plain,
( sK2 != sK3
| spl4_8 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1166,plain,
sK2 != sK3,
inference(forward_subsumption_resolution,[],[f1156,f447]) ).
fof(f1167,plain,
~ spl4_8,
inference(avatar_split_clause,[],[f1166,f1162]) ).
fof(f2928,plain,
! [X0] :
( s_col(sK0,sK1,X0)
| ~ s_t(sK2,X0,sK3)
| ~ s_col(sK0,sK1,sK3)
| ~ s_col(sK0,sK1,sK2)
| sK0 = sK1 ),
inference(resolution,[],[f766,f712]) ).
fof(f2935,plain,
! [X0] :
( s_col(sK0,sK1,X0)
| ~ s_t(sK2,X0,sK3)
| ~ s_col(sK0,sK1,sK3)
| sK0 = sK1 ),
inference(forward_subsumption_resolution,[],[f2928,f711]) ).
fof(f2938,plain,
! [X0] :
( s_col(sK0,sK1,X0)
| ~ s_t(sK2,X0,sK3)
| ~ s_col(sK0,sK1,sK3) ),
inference(forward_subsumption_resolution,[],[f2935,f447]) ).
fof(f2944,definition,
( spl4_34
<=> ! [X0] :
( s_col(sK0,sK1,X0)
| ~ s_t(sK2,X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl4_34])],[avatar_definition]) ).
fof(f2945,plain,
( ! [X0] :
( ~ s_t(sK2,X0,sK3)
| s_col(sK0,sK1,X0) )
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f2944]) ).
fof(f2946,plain,
( ~ spl4_7
| spl4_34 ),
inference(avatar_split_clause,[],[f2938,f2944,f1158]) ).
fof(f2955,plain,
( sK3 = reflect(sK0,sK1,sK3)
| sK0 = sK1
| spl4_7 ),
inference(resolution,[],[f1160,f704]) ).
fof(f2956,plain,
( sK3 = reflect(sK0,sK1,sK3)
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f2955,f447]) ).
fof(f2957,plain,
( sK2 = sK3
| spl4_7 ),
inference(forward_demodulation,[],[f2956,f1000]) ).
fof(f2958,plain,
( $false
| spl4_7
| spl4_8 ),
inference(forward_subsumption_resolution,[],[f2957,f1164]) ).
fof(f2959,plain,
( spl4_7
| spl4_8 ),
inference(avatar_contradiction_clause,[],[f2958]) ).
fof(f3408,plain,
( s_col(sK0,sK1,midpoint(sK2,sK3))
| ~ spl4_34 ),
inference(resolution,[],[f2945,f834]) ).
fof(f3416,plain,
( $false
| ~ spl4_34 ),
inference(forward_subsumption_resolution,[],[f3408,f1073]) ).
fof(f3417,plain,
~ spl4_34,
inference(avatar_contradiction_clause,[],[f3416]) ).
cnf(s3,plain,
~ spl4_8,
inference(sat_conversion,[],[f1167]) ).
cnf(s42,plain,
( ~ spl4_7
| spl4_34 ),
inference(sat_conversion,[],[f2946]) ).
cnf(s43,plain,
( spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f2959]) ).
cnf(s52,plain,
~ spl4_34,
inference(sat_conversion,[],[f3417]) ).
cnf(s53,plain,
~ spl4_7,
inference(rat,[],[s42,s52]) ).
cnf(s55,plain,
spl4_8,
inference(rat,[],[s43,s53]) ).
cnf(s60,plain,
$false,
inference(rat,[],[s3,s55]) ).
fof(f3418,plain,
$false,
inference(avatar_sat_refutation,[],[s60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO528+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 08:29:22 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/0.57 % (3232647)Will run a generic schedule for satisfiability detection.
% 0.92/0.57 % (3232656)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2464465851:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.92/0.57 % (3232653)% WARNING: option uhcvi not known.
% 0.92/0.57 % (3232652)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2853316435_2999 on theBenchmark for (2999ds/0Mi)
% 0.92/0.57 % (3232653)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3449706471:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.92/0.57 % (3232654)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4136634625:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.92/0.57 % (3232655)dis+10_1_sil=32000:sp=arity:random_seed=114403474:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.92/0.57 % (3232657)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1117224266:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.92/0.57 % (3232658)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=735349359:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.92/0.57 % Detected minimum model sizes of [3]
% 0.92/0.57 % Detected maximum model sizes of [max]
% 0.92/0.57 % TRYING [3]
% 0.92/0.57 % (3232656)Instruction limit reached!
% 0.92/0.57 % (3232656)------------------------------
% 0.92/0.57 % (3232656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.57 % (3232656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.57 % (3232656)CaDiCaL version: 2.1.3
% 0.92/0.57 % (3232656)Termination reason: Instruction limit
% 0.92/0.57 % (3232656)Termination phase: Saturation
% 0.92/0.57 % (3232656)Time elapsed: 0.038 s
% 0.92/0.57 % (3232656)Peak memory usage: 13 MB
% 0.92/0.57 % (3232656)Instructions burned: 117 (million)
% 0.92/0.57 % (3232666)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3090276899:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.92/0.57 % Detected minimum model sizes of [3]
% 0.92/0.57 % Detected maximum model sizes of [max]
% 0.92/0.57 % TRYING [3]
% 0.92/0.57 % (3232655)Instruction limit reached!
% 0.92/0.57 % (3232655)------------------------------
% 0.92/0.57 % (3232655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.57 % (3232655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.57 % (3232655)CaDiCaL version: 2.1.3
% 0.92/0.57 % (3232655)Termination reason: Instruction limit
% 0.92/0.57 % (3232655)Termination phase: Saturation
% 0.92/0.57 % (3232655)Time elapsed: 0.065 s
% 0.92/0.57 % (3232655)Peak memory usage: 13 MB
% 0.92/0.57 % (3232655)Instructions burned: 104 (million)
% 0.92/0.57 % (3232657)Instruction limit reached!
% 0.92/0.57 % (3232657)------------------------------
% 0.92/0.57 % (3232657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.57 % (3232657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.57 % (3232657)CaDiCaL version: 2.1.3
% 0.92/0.57 % (3232657)Termination reason: Instruction limit
% 0.92/0.57 % (3232657)Termination phase: Saturation
% 0.92/0.57 % (3232657)Time elapsed: 0.082 s
% 0.92/0.57 % (3232657)Peak memory usage: 13 MB
% 0.92/0.57 % (3232657)Instructions burned: 132 (million)
% 0.92/0.57 % (3232668)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2103837480:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.92/0.57 % (3232658)Instruction limit reached!
% 0.92/0.57 % (3232658)------------------------------
% 0.92/0.57 % (3232658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.57 % (3232658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.57 % (3232658)CaDiCaL version: 2.1.3
% 0.92/0.57 % (3232658)Termination reason: Instruction limit
% 0.92/0.57 % (3232658)Termination phase: Saturation
% 0.92/0.57 % (3232658)Time elapsed: 0.097 s
% 0.92/0.57 % (3232658)Peak memory usage: 14 MB
% 0.92/0.57 % (3232658)Instructions burned: 159 (million)
% 0.92/0.57 % (3232653) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3232647-3232653"...
% 0.92/0.57 % (3232653)...printing done.
% 0.92/0.57 % (3232669)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=823937822:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.92/0.57 % (3232653)Refutation found. Thanks to Tanya!
% 0.92/0.57 % SZS status Theorem for theBenchmark
% 0.92/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.92/0.57 % (3232653)------------------------------
% 0.92/0.57 % (3232653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.57 % (3232653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.57 % (3232653)CaDiCaL version: 2.1.3
% 0.92/0.57 % (3232653)Termination reason: Refutation
% 0.92/0.57 % (3232653)Time elapsed: 0.103 s
% 0.92/0.57 % (3232653)Peak memory usage: 14 MB
% 0.92/0.57 % (3232653)Instructions burned: 165 (million)
% 0.92/0.57 % (3232647)Success in time 0.15 s
% 0.92/0.57 % Vampire exiting
%------------------------------------------------------------------------------