%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO111-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:53:36 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 59 ( 27 unt; 6 def)
% Number of atoms : 104 ( 10 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 89 ( 44 ~; 39 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
fof(f22,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_13) ).
fof(f30,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).
fof(f31,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
fof(f66,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| X1 != X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_1) ).
fof(f67,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| part_of(ax1_sk1(X3,X2,X1,X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_2) ).
fof(f68,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| end_point(X1,ax1_sk1(X3,X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_3) ).
fof(f69,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| end_point(X3,ax1_sk1(X3,X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_4) ).
fof(f70,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| inner_point(X2,ax1_sk1(X3,X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_5) ).
fof(f72,negated_conjecture,
between_c(sk15,sk16,sk17,sk18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_1_77) ).
fof(f73,negated_conjecture,
( ~ incident_c(sk16,sk15)
| ~ incident_c(sk17,sk15)
| ~ incident_c(sk18,sk15)
| sk16 = sk17
| sk17 = sk18
| sk16 = sk18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_1_78) ).
fof(f78,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f66]) ).
fof(f80,definition,
( spl0_1
<=> sk16 = sk18 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f82,plain,
( sk16 = sk18
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f84,definition,
( spl0_2
<=> sk17 = sk18 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f86,plain,
( sk17 = sk18
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f88,definition,
( spl0_3
<=> sk16 = sk17 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f90,plain,
( sk16 = sk17
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f92,definition,
( spl0_4
<=> incident_c(sk18,sk15) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f94,plain,
( ~ incident_c(sk18,sk15)
| spl0_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f96,definition,
( spl0_5
<=> incident_c(sk17,sk15) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f100,definition,
( spl0_6
<=> incident_c(sk16,sk15) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f103,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f73,f100,f96,f92,f88,f84,f80]) ).
fof(f187,plain,
part_of(ax1_sk1(sk18,sk17,sk16,sk15),sk15),
inference(resolution,[],[f67,f72]) ).
fof(f189,plain,
! [X0] :
( ~ incident_c(X0,ax1_sk1(sk18,sk17,sk16,sk15))
| incident_c(X0,sk15) ),
inference(resolution,[],[f187,f1]) ).
fof(f199,plain,
end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[],[f68,f72]) ).
fof(f200,plain,
incident_c(sk16,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[],[f199,f22]) ).
fof(f210,plain,
end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[],[f69,f72]) ).
fof(f211,plain,
incident_c(sk18,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[],[f210,f22]) ).
fof(f221,plain,
inner_point(sk17,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[],[f70,f72]) ).
fof(f224,plain,
~ end_point(sk17,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[],[f221,f31]) ).
fof(f225,plain,
incident_c(sk17,ax1_sk1(sk18,sk17,sk16,sk15)),
inference(resolution,[],[f221,f30]) ).
fof(f259,plain,
incident_c(sk16,sk15),
inference(resolution,[],[f189,f200]) ).
fof(f260,plain,
incident_c(sk17,sk15),
inference(resolution,[],[f189,f225]) ).
fof(f261,plain,
incident_c(sk18,sk15),
inference(resolution,[],[f189,f211]) ).
fof(f262,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f261,f94]) ).
fof(f263,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f264,plain,
spl0_5,
inference(avatar_split_clause,[],[f260,f96]) ).
fof(f265,plain,
spl0_6,
inference(avatar_split_clause,[],[f259,f100]) ).
fof(f274,plain,
( end_point(sk17,ax1_sk1(sk17,sk17,sk16,sk15))
| ~ spl0_2 ),
inference(superposition,[],[f210,f86]) ).
fof(f278,plain,
( ~ end_point(sk17,ax1_sk1(sk17,sk17,sk16,sk15))
| ~ spl0_2 ),
inference(superposition,[],[f224,f86]) ).
fof(f282,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f274,f278]) ).
fof(f283,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f287,plain,
( end_point(sk16,ax1_sk1(sk18,sk16,sk16,sk15))
| ~ spl0_3 ),
inference(superposition,[],[f199,f90]) ).
fof(f294,plain,
( ~ end_point(sk16,ax1_sk1(sk18,sk16,sk16,sk15))
| ~ spl0_3 ),
inference(superposition,[],[f224,f90]) ).
fof(f298,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f287,f294]) ).
fof(f299,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f300,plain,
( between_c(sk15,sk16,sk17,sk16)
| ~ spl0_1 ),
inference(superposition,[],[f72,f82]) ).
fof(f315,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f300,f78]) ).
fof(f316,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f315]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f103]) ).
cnf(s3,plain,
spl0_4,
inference(sat_conversion,[],[f263]) ).
cnf(s4,plain,
spl0_5,
inference(sat_conversion,[],[f264]) ).
cnf(s5,plain,
spl0_6,
inference(sat_conversion,[],[f265]) ).
cnf(s6,plain,
~ spl0_2,
inference(sat_conversion,[],[f283]) ).
cnf(s7,plain,
~ spl0_3,
inference(sat_conversion,[],[f299]) ).
cnf(s8,plain,
~ spl0_1,
inference(sat_conversion,[],[f316]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s5,s4,s3,s7,s6,s8]) ).
fof(f317,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO111-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n002.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 07:06:06 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.17/0.48 % (3194817)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (3194827)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1946654012:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (3194824)% WARNING: option uhcvi not known.
% 0.17/0.48 % (3194827) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3194817-3194827"...
% 0.17/0.48 % (3194827)...printing done.
% 0.17/0.48 % (3194827)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (3194827)------------------------------
% 0.17/0.48 % (3194827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (3194827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (3194827)CaDiCaL version: 2.1.3
% 0.17/0.48 % (3194827)Termination reason: Refutation
% 0.17/0.48 % (3194827)Time elapsed: 0.005 s
% 0.17/0.48 % (3194827)Peak memory usage: 12 MB
% 0.17/0.48 % (3194827)Instructions burned: 12 (million)
% 0.17/0.48 % (3194817)Success in time 0.043 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------