%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO127-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:51:38 AM UTC 2026
% Result : Unsatisfiable 2.74s 1.26s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 66 ( 9 unt; 5 def)
% Number of atoms : 163 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 191 ( 94 ~; 92 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 6 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn_13) ).
fof(f30,axiom,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn_21) ).
fof(f31,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn_22) ).
fof(f42,axiom,
! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_defn_33) ).
fof(f46,axiom,
! [X0] : inner_point(ax0_sk8(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3_37) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ~ start_point(X0,X1)
| X0 = X2
| ~ incident_o(X2,X1)
| ordered_by(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_point_defn_8) ).
fof(f90,axiom,
! [X2,X0,X1] :
( incident_o(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o1_17) ).
fof(f91,axiom,
! [X2,X0,X1] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o1_18) ).
fof(f92,axiom,
! [X0] : open(ax2_sk3(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o2_19) ).
fof(f94,axiom,
! [X0,X1] :
( incident_o(X0,X1)
| ~ incident_c(X0,ax2_sk3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o2_21) ).
fof(f102,axiom,
! [X0] : start_point(ax2_sk6(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o4_29) ).
fof(f124,negated_conjecture,
( incident_o(sk26,sk25)
| ordered_by(sk25,sk26,sk27)
| ordered_by(sk25,sk27,sk26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_12_133) ).
fof(f128,negated_conjecture,
! [X0] :
( ~ ordered_by(sk25,sk26,X0)
| ~ incident_o(sk26,sk25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_12_137) ).
fof(f129,negated_conjecture,
! [X0] :
( ~ ordered_by(sk25,X0,sk26)
| ~ incident_o(sk26,sk25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_12_138) ).
fof(f138,definition,
( spl0_1
<=> incident_o(sk26,sk25) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f139,plain,
( incident_o(sk26,sk25)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f140,plain,
( ~ incident_o(sk26,sk25)
| spl0_1 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f142,definition,
( spl0_2
<=> ! [X0] : ~ ordered_by(sk25,X0,sk26) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f143,plain,
( ! [X0] : ~ ordered_by(sk25,X0,sk26)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f144,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f129,f142,f138]) ).
fof(f146,definition,
( spl0_3
<=> ! [X0] : ~ ordered_by(sk25,sk26,X0) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f147,plain,
( ! [X0] : ~ ordered_by(sk25,sk26,X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f148,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f128,f146,f138]) ).
fof(f150,definition,
( spl0_4
<=> ordered_by(sk25,sk27,sk26) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f152,plain,
( ordered_by(sk25,sk27,sk26)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f154,definition,
( spl0_5
<=> ordered_by(sk25,sk26,sk27) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f156,plain,
( ordered_by(sk25,sk26,sk27)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f159,plain,
( spl0_4
| spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f124,f138,f154,f150]) ).
fof(f161,plain,
( ! [X0] : ~ ordered_by(sk25,sk26,X0)
| spl0_1 ),
inference(resolution,[],[f90,f140]) ).
fof(f162,plain,
( spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f161,f138,f146]) ).
fof(f163,plain,
( ! [X0] : ~ ordered_by(sk25,X0,sk26)
| spl0_1 ),
inference(resolution,[],[f91,f140]) ).
fof(f164,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f163,f138,f142]) ).
fof(f165,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f143,f152]) ).
fof(f166,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f167,plain,
( $false
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f156,f147]) ).
fof(f168,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f169,plain,
! [X0] :
( incident_c(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(resolution,[],[f42,f22]) ).
fof(f170,plain,
! [X0] : ~ end_point(ax0_sk8(X0),X0),
inference(resolution,[],[f31,f46]) ).
fof(f177,plain,
! [X0,X1] :
( ordered_by(X0,ax2_sk6(X0),X1)
| ~ incident_o(X1,X0)
| ax2_sk6(X0) = X1 ),
inference(resolution,[],[f79,f102]) ).
fof(f202,plain,
( ~ incident_o(sk26,sk25)
| sk26 = ax2_sk6(sk25)
| ~ spl0_2 ),
inference(resolution,[],[f177,f143]) ).
fof(f209,plain,
( sk26 = ax2_sk6(sk25)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f202,f139]) ).
fof(f211,plain,
( ! [X0] :
( ordered_by(sk25,sk26,X0)
| ~ incident_o(X0,sk25)
| sk26 = X0 )
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f177,f209]) ).
fof(f214,plain,
( ! [X0] :
( ~ incident_o(X0,sk25)
| sk26 = X0 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f211,f147]) ).
fof(f221,plain,
( ! [X0] :
( ~ incident_c(X0,ax2_sk3(sk25))
| sk26 = X0 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f214,f94]) ).
fof(f300,plain,
( ! [X0] :
( ~ inner_point(X0,ax2_sk3(sk25))
| sk26 = X0 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f221,f30]) ).
fof(f309,plain,
( sk26 = ax0_sk7(ax2_sk3(sk25))
| ~ open(ax2_sk3(sk25))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f221,f169]) ).
fof(f312,plain,
( sk26 = ax0_sk7(ax2_sk3(sk25))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f309,f92]) ).
fof(f340,plain,
( end_point(sk26,ax2_sk3(sk25))
| ~ open(ax2_sk3(sk25))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f42,f312]) ).
fof(f341,plain,
( end_point(sk26,ax2_sk3(sk25))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f340,f92]) ).
fof(f415,plain,
( sk26 = ax0_sk8(ax2_sk3(sk25))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f300,f46]) ).
fof(f420,plain,
( ~ end_point(sk26,ax2_sk3(sk25))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f170,f415]) ).
fof(f422,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f420,f341]) ).
fof(f423,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f422]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f144]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f148]) ).
cnf(s5,plain,
( spl0_1
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f159]) ).
cnf(s6,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f162]) ).
cnf(s7,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f164]) ).
cnf(s8,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f166]) ).
cnf(s9,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f168]) ).
cnf(s16,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f423]) ).
cnf(s18,plain,
spl0_1,
inference(rat,[],[s5,s9,s8,s6,s7]) ).
cnf(s19,plain,
spl0_3,
inference(rat,[],[s2,s18]) ).
cnf(s20,plain,
spl0_2,
inference(rat,[],[s1,s18]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s16,s18,s19,s20]) ).
fof(f424,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO127-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 07:10:09 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.74/1.26 % (1982238)Input is clausal, will run a generic CNF schedule.
% 2.74/1.26 % (1982328)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=673552245:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.74/1.26 % (1982329)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1745419994:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.74/1.26 % (1982333)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1458236200:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.74/1.26 % (1982330)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=875062363:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.74/1.26 % (1982332)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2279075545:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.74/1.26 % (1982332)Refutation not found, incomplete strategy
% 2.74/1.26 % (1982332)------------------------------
% 2.74/1.26 % (1982332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.26 % (1982332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.26 % (1982332)CaDiCaL version: 2.1.3
% 2.74/1.26 % (1982332)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.26 % (1982332)Time elapsed: 0.002 s
% 2.74/1.26 % (1982332)Peak memory usage: 88 MB
% 2.74/1.26 % (1982332)Instructions burned: 1 (million)
% 2.74/1.26 % (1982331)lrs+10_1_sil=8000:sp=occurrence:random_seed=1310333452:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.74/1.26 % (1982331)Refutation not found, incomplete strategy
% 2.74/1.26 % (1982331)------------------------------
% 2.74/1.26 % (1982331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.26 % (1982331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.26 % (1982331)CaDiCaL version: 2.1.3
% 2.74/1.26 % (1982331)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.26 % (1982331)Time elapsed: 0.001 s
% 2.74/1.26 % (1982331)Peak memory usage: 88 MB
% 2.74/1.26 % (1982333)First to succeed.
% 2.74/1.26 % (1982333)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1982238"
% 2.74/1.26 % (1982334)dis-21_1_sil=8000:lcm=predicate:random_seed=223623214: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)
% 2.74/1.26 % (1982334)Instruction limit reached!
% 2.74/1.26 % (1982334)------------------------------
% 2.74/1.26 % (1982334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.26 % (1982334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.26 % (1982334)CaDiCaL version: 2.1.3
% 2.74/1.26 % (1982334)Termination reason: Instruction limit
% 2.74/1.26 % (1982334)Termination phase: Saturation
% 2.74/1.26 % (1982334)Time elapsed: 0.070 s
% 2.74/1.26 % (1982334)Peak memory usage: 88 MB
% 2.74/1.26 % (1982334)Instructions burned: 118 (million)
% 2.74/1.26 % (1982342)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=2338273737:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.74/1.26 % (1982342)Refutation not found, incomplete strategy
% 2.74/1.26 % (1982342)------------------------------
% 2.74/1.26 % (1982342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.26 % (1982342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.26 % (1982342)CaDiCaL version: 2.1.3
% 2.74/1.26 % (1982342)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.26 % (1982342)Time elapsed: 0.001 s
% 2.74/1.26 % (1982342)Peak memory usage: 88 MB
% 2.74/1.26 % (1982332)------------------------------
% 2.74/1.26 % (1982332)------------------------------
% 2.74/1.26 % (1982331)------------------------------
% 2.74/1.26 % (1982331)------------------------------
% 2.74/1.26 % (1982333)Refutation found. Thanks to Tanya!
% 2.74/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.74/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.45 % (1982333)------------------------------
% 3.44/1.45 % (1982333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.45 % (1982333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.45 % (1982333)CaDiCaL version: 2.1.3
% 3.44/1.45 % (1982333)Termination reason: Refutation
% 3.44/1.45 % (1982333)Time elapsed: 0.015 s
% 3.44/1.45 % (1982333)Peak memory usage: 89 MB
% 3.44/1.45 % (1982333)Instructions burned: 18 (million)
% 3.44/1.45 % (1982333)------------------------------
% 3.44/1.45 % (1982333)------------------------------
% 3.44/1.45 % (1982238)Success in time 0.401 s
% 3.44/1.45 % Vampire exiting
%------------------------------------------------------------------------------