%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO120-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 09:51:36 AM UTC 2026
% Result : Unsatisfiable 8.69s 2.10s
% Output : Refutation 9.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 31
% Syntax : Number of formulae : 122 ( 18 unt; 6 def)
% Number of atoms : 372 ( 85 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 445 ( 195 ~; 245 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 6 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-5 aty)
% Number of variables : 188 ( 0 sgn 188 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_2) ).
fof(f3,axiom,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_3) ).
fof(f32,axiom,
! [X0,X1] :
( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_23) ).
fof(f42,axiom,
! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn_33) ).
fof(f43,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| open(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn_34) ).
fof(f44,axiom,
! [X0,X1] :
( ~ part_of(X0,X1)
| X0 = X1
| open(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1_35) ).
fof(f50,axiom,
! [X2,X3,X0,X1] :
( ~ end_point(X0,X1)
| ~ end_point(X2,X1)
| ~ end_point(X3,X1)
| X0 = X2
| X0 = X3
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5_40) ).
fof(f51,axiom,
! [X0,X1] :
( end_point(ax0_sk11(X0,X1),X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6_41) ).
fof(f52,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| X0 != ax0_sk11(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6_42) ).
fof(f53,plain,
! [X0,X1] :
( ax0_sk11(X0,X1) != X0
| ~ end_point(X0,X1) ),
inference(reorient_equations,[],[f52]) ).
fof(f66,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| X1 != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_1) ).
fof(f71,axiom,
! [X2,X3,X0,X1,X4] :
( between_c(X3,X0,X4,X1)
| ~ part_of(X2,X3)
| ~ end_point(X0,X2)
| ~ end_point(X1,X2)
| ~ inner_point(X4,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_6) ).
fof(f75,axiom,
! [X2,X3,X0,X1] :
( ~ between_o(X0,X1,X2,X3)
| ordered_by(X0,X2,X3)
| ordered_by(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn_4) ).
fof(f76,axiom,
! [X2,X3,X0,X1] :
( between_o(X0,X1,X2,X3)
| ~ ordered_by(X0,X2,X3)
| ~ ordered_by(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn_5) ).
fof(f84,axiom,
! [X0,X1] :
( ~ finish_point(X0,X1)
| incident_o(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finish_point_defn_12) ).
fof(f85,axiom,
! [X2,X0,X1] :
( ordered_by(X1,X2,X0)
| X0 = X2
| ~ incident_o(X2,X1)
| ~ finish_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finish_point_defn_13) ).
fof(f91,axiom,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o1_18) ).
fof(f92,axiom,
! [X0] : open(ax2_sk3(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o2_19) ).
fof(f93,axiom,
! [X0,X1] :
( incident_c(X0,ax2_sk3(X1))
| ~ incident_o(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o2_20) ).
fof(f97,axiom,
! [X2,X3,X0,X1] :
( between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3)
| ~ between_o(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3_24) ).
fof(f98,axiom,
! [X2,X3,X0,X1,X4] :
( incident_o(ax2_sk5(X0,X1,X2,X3,X4),X1)
| incident_c(ax2_sk5(X0,X1,X2,X3,X4),X0)
| ~ between_c(X0,X4,X3,X2)
| between_o(X1,X4,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3_25) ).
fof(f101,axiom,
! [X2,X3,X0,X1,X4] :
( ~ incident_o(ax2_sk5(X0,X1,X2,X3,X4),X1)
| ~ incident_c(ax2_sk5(X0,X1,X2,X3,X4),X0)
| ~ between_c(X0,X4,X3,X2)
| between_o(X1,X4,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3_28) ).
fof(f112,axiom,
! [X2,X0,X1] :
( X0 != underlying_curve(X1)
| ~ incident_o(X2,X1)
| incident_c(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',underlying_curve_defn_37) ).
fof(f113,plain,
! [X2,X0,X1] :
( underlying_curve(X1) != X0
| ~ incident_o(X2,X1)
| incident_c(X2,X0) ),
inference(reorient_equations,[],[f112]) ).
fof(f114,axiom,
! [X2,X0,X1] :
( X0 != underlying_curve(X1)
| ~ incident_c(X2,X0)
| incident_o(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',underlying_curve_defn_38) ).
fof(f115,plain,
! [X2,X0,X1] :
( underlying_curve(X1) != X0
| ~ incident_c(X2,X0)
| incident_o(X2,X1) ),
inference(reorient_equations,[],[f114]) ).
fof(f124,negated_conjecture,
finish_point(sk26,sk25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_6_2_133) ).
fof(f125,negated_conjecture,
~ end_point(sk26,underlying_curve(sk25)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_6_2_134) ).
fof(f130,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f66]) ).
fof(f131,plain,
! [X2,X1] :
( incident_c(X2,underlying_curve(X1))
| ~ incident_o(X2,X1) ),
inference(equality_resolution,[],[f113]) ).
fof(f132,plain,
! [X2,X1] :
( ~ incident_c(X2,underlying_curve(X1))
| incident_o(X2,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f133,definition,
sF0 = underlying_curve(sk25),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f134,plain,
underlying_curve(sk25) = sF0,
inference(reorient_equations,[],[f133]) ).
fof(f135,plain,
~ end_point(sk26,sF0),
inference(definition_folding,[],[f125,f134]) ).
fof(f138,plain,
! [X0] :
( incident_o(X0,sk25)
| ~ incident_c(X0,sF0) ),
inference(superposition,[],[f132,f134]) ).
fof(f139,plain,
incident_o(sk26,sk25),
inference(resolution,[],[f84,f124]) ).
fof(f141,plain,
! [X0] :
( ~ incident_o(X0,sk25)
| incident_c(X0,sF0) ),
inference(superposition,[],[f131,f134]) ).
fof(f143,plain,
! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1),
inference(resolution,[],[f97,f130]) ).
fof(f144,plain,
incident_c(sk26,sF0),
inference(resolution,[],[f139,f141]) ).
fof(f148,plain,
! [X0,X1] :
( incident_o(ax0_sk1(underlying_curve(X0),X1),X0)
| part_of(underlying_curve(X0),X1) ),
inference(resolution,[],[f2,f132]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X1,X2) ),
inference(resolution,[],[f76,f143]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| X1 = X2
| ~ incident_o(X2,X0)
| ~ finish_point(X1,X0) ),
inference(resolution,[],[f150,f85]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| X1 = X2
| ~ finish_point(X1,X0) ),
inference(forward_subsumption_resolution,[],[f151,f91]) ).
fof(f159,plain,
! [X0] :
( part_of(X0,X0)
| part_of(X0,X0) ),
inference(resolution,[],[f3,f2]) ).
fof(f161,plain,
! [X0] : part_of(X0,X0),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f172,plain,
! [X0,X1] :
( ~ incident_o(ax0_sk1(X0,ax2_sk3(X1)),X1)
| part_of(X0,ax2_sk3(X1)) ),
inference(resolution,[],[f93,f3]) ).
fof(f211,plain,
! [X0] :
( incident_o(ax0_sk1(sF0,X0),sk25)
| part_of(sF0,X0) ),
inference(superposition,[],[f148,f134]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ incident_c(ax2_sk5(X0,sk25,X1,X2,X3),sF0)
| ~ between_c(X0,X3,X2,X1)
| between_o(sk25,X3,X2,X1)
| ~ incident_c(ax2_sk5(X0,sk25,X1,X2,X3),X0) ),
inference(resolution,[],[f101,f138]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( incident_c(ax2_sk5(X0,sk25,X1,X2,X3),sF0)
| ~ between_c(X0,X3,X2,X1)
| between_o(sk25,X3,X2,X1)
| incident_c(ax2_sk5(X0,sk25,X1,X2,X3),X0) ),
inference(resolution,[],[f98,f141]) ).
fof(f409,plain,
! [X2,X0,X1] :
( incident_c(ax2_sk5(sF0,sk25,X0,X1,X2),sF0)
| ~ between_c(sF0,X2,X1,X0)
| between_o(sk25,X2,X1,X0) ),
inference(factoring,[],[f405]) ).
fof(f411,plain,
! [X2,X0,X1] :
( ~ between_c(sF0,X0,X1,X2)
| between_o(sk25,X0,X1,X2)
| ~ between_c(sF0,X0,X1,X2)
| between_o(sk25,X0,X1,X2)
| ~ incident_c(ax2_sk5(sF0,sk25,X2,X1,X0),sF0) ),
inference(resolution,[],[f409,f285]) ).
fof(f412,plain,
! [X2,X0,X1] :
( ~ between_c(sF0,X0,X1,X2)
| between_o(sk25,X0,X1,X2)
| ~ incident_c(ax2_sk5(sF0,sk25,X2,X1,X0),sF0) ),
inference(duplicate_literal_removal,[],[f411]) ).
fof(f413,plain,
! [X2,X0,X1] :
( between_o(sk25,X0,X1,X2)
| ~ between_c(sF0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f412,f409]) ).
fof(f417,plain,
! [X2,X0,X1] :
( ~ between_c(sF0,X0,X1,X2)
| ordered_by(sk25,X1,X2)
| ordered_by(sk25,X1,X0) ),
inference(resolution,[],[f413,f75]) ).
fof(f420,plain,
! [X2,X3,X0,X1] :
( ordered_by(sk25,X0,X2)
| ordered_by(sk25,X0,X1)
| ~ part_of(X3,sF0)
| ~ end_point(X2,X3)
| ~ end_point(X1,X3)
| ~ inner_point(X0,X3)
| X1 = X2 ),
inference(resolution,[],[f417,f71]) ).
fof(f426,plain,
! [X2,X3,X0,X1] :
( ordered_by(sk25,X0,X1)
| ~ part_of(X2,sF0)
| ~ end_point(X3,X2)
| ~ end_point(X1,X2)
| ~ inner_point(X0,X2)
| X1 = X3
| X0 = X3
| ~ finish_point(X0,sk25) ),
inference(resolution,[],[f420,f152]) ).
fof(f479,plain,
( part_of(sF0,ax2_sk3(sk25))
| part_of(sF0,ax2_sk3(sk25)) ),
inference(resolution,[],[f172,f211]) ).
fof(f489,plain,
part_of(sF0,ax2_sk3(sk25)),
inference(duplicate_literal_removal,[],[f479]) ).
fof(f491,plain,
( sF0 = ax2_sk3(sk25)
| open(sF0) ),
inference(resolution,[],[f489,f44]) ).
fof(f493,definition,
( spl1_3
<=> open(sF0) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f494,plain,
( ~ open(sF0)
| spl1_3 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f495,plain,
( open(sF0)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f497,definition,
( spl1_4
<=> sF0 = ax2_sk3(sk25) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f499,plain,
( sF0 = ax2_sk3(sk25)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f500,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f491,f497,f493]) ).
fof(f540,plain,
! [X2,X3,X0,X1] :
( ~ part_of(X0,sF0)
| ~ end_point(X1,X0)
| ~ end_point(X2,X0)
| ~ inner_point(X3,X0)
| X1 = X2
| X1 = X3
| ~ finish_point(X3,sk25)
| X2 = X3
| ~ finish_point(X3,sk25) ),
inference(resolution,[],[f426,f152]) ).
fof(f545,plain,
! [X2,X3,X0,X1] :
( ~ finish_point(X3,sk25)
| ~ end_point(X1,X0)
| ~ end_point(X2,X0)
| ~ inner_point(X3,X0)
| X1 = X2
| X1 = X3
| ~ part_of(X0,sF0)
| X2 = X3 ),
inference(duplicate_literal_removal,[],[f540]) ).
fof(f546,plain,
! [X2,X0,X1] :
( ~ inner_point(sk26,X1)
| ~ end_point(X2,X1)
| ~ end_point(X0,X1)
| X0 = X2
| sk26 = X0
| ~ part_of(X1,sF0)
| sk26 = X2 ),
inference(resolution,[],[f545,f124]) ).
fof(f547,plain,
! [X2,X0,X1] :
( ~ end_point(X0,X1)
| ~ end_point(X2,X1)
| X0 = X2
| sk26 = X2
| ~ part_of(X1,sF0)
| sk26 = X0
| end_point(sk26,X1)
| ~ incident_c(sk26,X1) ),
inference(resolution,[],[f546,f32]) ).
fof(f549,plain,
! [X2,X0,X1] :
( ~ end_point(X2,X1)
| ~ end_point(X0,X1)
| X0 = X2
| sk26 = X2
| ~ part_of(X1,sF0)
| sk26 = X0
| ~ incident_c(sk26,X1) ),
inference(forward_subsumption_resolution,[],[f547,f50]) ).
fof(f552,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ax0_sk7(X1) = X0
| sk26 = ax0_sk7(X1)
| ~ part_of(X1,sF0)
| sk26 = X0
| ~ incident_c(sk26,X1)
| ~ open(X1) ),
inference(resolution,[],[f549,f42]) ).
fof(f556,plain,
! [X0,X1] :
( sk26 = ax0_sk7(X1)
| ax0_sk7(X1) = X0
| ~ end_point(X0,X1)
| ~ part_of(X1,sF0)
| sk26 = X0
| ~ incident_c(sk26,X1) ),
inference(forward_subsumption_resolution,[],[f552,f43]) ).
fof(f559,plain,
! [X0,X1] :
( ~ end_point(ax0_sk7(X0),sF0)
| ax0_sk7(X0) = X1
| ~ end_point(X1,X0)
| ~ part_of(X0,sF0)
| sk26 = X1
| ~ incident_c(sk26,X0) ),
inference(superposition,[],[f135,f556]) ).
fof(f609,plain,
! [X0] :
( ax0_sk7(sF0) = X0
| ~ end_point(X0,sF0)
| ~ part_of(sF0,sF0)
| sk26 = X0
| ~ incident_c(sk26,sF0)
| ~ open(sF0) ),
inference(resolution,[],[f559,f42]) ).
fof(f612,plain,
! [X0] :
( ax0_sk7(sF0) = X0
| ~ end_point(X0,sF0)
| ~ part_of(sF0,sF0)
| sk26 = X0
| ~ incident_c(sk26,sF0) ),
inference(forward_subsumption_resolution,[],[f609,f43]) ).
fof(f613,plain,
! [X0] :
( ax0_sk7(sF0) = X0
| ~ end_point(X0,sF0)
| sk26 = X0
| ~ incident_c(sk26,sF0) ),
inference(forward_subsumption_resolution,[],[f612,f161]) ).
fof(f614,plain,
! [X0] :
( ax0_sk7(sF0) = X0
| ~ end_point(X0,sF0)
| sk26 = X0 ),
inference(forward_subsumption_resolution,[],[f613,f144]) ).
fof(f615,plain,
! [X0,X1] :
( ~ end_point(X1,sF0)
| X0 = X1
| sk26 = X1
| ~ end_point(X0,sF0)
| sk26 = X0 ),
inference(superposition,[],[f614,f614]) ).
fof(f626,definition,
( spl1_5
<=> ! [X0] :
( ~ end_point(X0,sF0)
| sk26 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f627,plain,
( ! [X0] :
( ~ end_point(X0,sF0)
| sk26 = X0 )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f629,definition,
( spl1_6
<=> sk26 = ax0_sk7(sF0) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f630,plain,
( sk26 = ax0_sk7(sF0)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f631,plain,
( sk26 != ax0_sk7(sF0)
| spl1_6 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f638,plain,
! [X0,X1] :
( sk26 = ax0_sk11(X1,sF0)
| ax0_sk11(X1,sF0) = X0
| ~ end_point(X0,sF0)
| sk26 = X0
| ~ end_point(X1,sF0) ),
inference(resolution,[],[f615,f51]) ).
fof(f652,plain,
! [X0,X1] :
( end_point(sk26,sF0)
| ~ end_point(X0,sF0)
| ax0_sk11(X0,sF0) = X1
| ~ end_point(X1,sF0)
| sk26 = X1
| ~ end_point(X0,sF0) ),
inference(superposition,[],[f51,f638]) ).
fof(f655,plain,
! [X0,X1] :
( end_point(sk26,sF0)
| ~ end_point(X0,sF0)
| ax0_sk11(X0,sF0) = X1
| ~ end_point(X1,sF0)
| sk26 = X1 ),
inference(duplicate_literal_removal,[],[f652]) ).
fof(f658,plain,
! [X0,X1] :
( ax0_sk11(X0,sF0) = X1
| ~ end_point(X0,sF0)
| ~ end_point(X1,sF0)
| sk26 = X1 ),
inference(forward_subsumption_resolution,[],[f655,f135]) ).
fof(f661,plain,
! [X2,X0,X1] :
( sk26 = X0
| X0 = X2
| ~ end_point(X2,sF0)
| sk26 = X2
| ~ end_point(X1,sF0)
| ~ end_point(X1,sF0)
| ~ end_point(X0,sF0)
| sk26 = X0 ),
inference(superposition,[],[f638,f658]) ).
fof(f663,plain,
! [X0,X1] :
( X0 != X1
| ~ end_point(X1,sF0)
| ~ end_point(X1,sF0)
| ~ end_point(X0,sF0)
| sk26 = X0 ),
inference(superposition,[],[f53,f658]) ).
fof(f667,plain,
! [X0,X1] :
( X0 != X1
| ~ end_point(X1,sF0)
| ~ end_point(X0,sF0)
| sk26 = X0 ),
inference(duplicate_literal_removal,[],[f663]) ).
fof(f669,plain,
! [X2,X0,X1] :
( sk26 = X0
| X0 = X2
| ~ end_point(X2,sF0)
| sk26 = X2
| ~ end_point(X1,sF0)
| ~ end_point(X0,sF0) ),
inference(duplicate_literal_removal,[],[f661]) ).
fof(f676,plain,
! [X2,X0,X1] :
( sk26 = X0
| ~ end_point(X2,sF0)
| sk26 = X2
| ~ end_point(X1,sF0)
| ~ end_point(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f669,f667]) ).
fof(f678,definition,
( spl1_10
<=> ! [X1] : ~ end_point(X1,sF0) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f679,plain,
( ! [X1] : ~ end_point(X1,sF0)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f680,plain,
( spl1_10
| spl1_5
| spl1_5 ),
inference(avatar_split_clause,[],[f676,f626,f626,f678]) ).
fof(f681,plain,
( sk26 = ax0_sk7(sF0)
| ~ open(sF0)
| ~ spl1_5 ),
inference(resolution,[],[f627,f42]) ).
fof(f684,plain,
( ~ open(sF0)
| ~ spl1_5
| spl1_6 ),
inference(forward_subsumption_resolution,[],[f681,f631]) ).
fof(f685,plain,
( $false
| ~ spl1_3
| ~ spl1_5
| spl1_6 ),
inference(forward_subsumption_resolution,[],[f684,f495]) ).
fof(f686,plain,
( ~ spl1_3
| ~ spl1_5
| spl1_6 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f691,plain,
( end_point(sk26,sF0)
| ~ open(sF0)
| ~ spl1_6 ),
inference(superposition,[],[f42,f630]) ).
fof(f693,plain,
( ~ open(sF0)
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f691,f135]) ).
fof(f694,plain,
( $false
| ~ spl1_3
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f693,f495]) ).
fof(f695,plain,
( ~ spl1_3
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f694]) ).
fof(f774,plain,
( ~ open(ax2_sk3(sk25))
| spl1_3
| ~ spl1_4 ),
inference(backward_demodulation,[],[f494,f499]) ).
fof(f845,plain,
( $false
| spl1_3
| ~ spl1_4 ),
inference(forward_subsumption_resolution,[],[f774,f92]) ).
fof(f846,plain,
( spl1_3
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f912,plain,
( ~ open(sF0)
| ~ spl1_10 ),
inference(resolution,[],[f679,f42]) ).
fof(f915,plain,
( $false
| ~ spl1_3
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f912,f495]) ).
fof(f916,plain,
( ~ spl1_3
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f915]) ).
cnf(s2,plain,
( spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f500]) ).
cnf(s6,plain,
( spl1_5
| spl1_5
| spl1_10 ),
inference(sat_conversion,[],[f680]) ).
cnf(s7,plain,
( spl1_5
| spl1_10 ),
inference(rat,[],[s6]) ).
cnf(s8,plain,
( ~ spl1_3
| ~ spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f686]) ).
cnf(s9,plain,
( ~ spl1_3
| ~ spl1_6 ),
inference(sat_conversion,[],[f695]) ).
cnf(s11,plain,
( spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f846]) ).
cnf(s15,plain,
( ~ spl1_3
| ~ spl1_10 ),
inference(sat_conversion,[],[f916]) ).
cnf(s16,plain,
spl1_3,
inference(rat,[],[s2,s11]) ).
cnf(s17,plain,
~ spl1_10,
inference(rat,[],[s15,s16]) ).
cnf(s18,plain,
~ spl1_6,
inference(rat,[],[s9,s16]) ).
cnf(s19,plain,
spl1_5,
inference(rat,[],[s7,s17]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s8,s16,s19,s18]) ).
fof(f917,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO120-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 07:09:00 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.69/2.10 % (1307382)Input is clausal, will run a generic CNF schedule.
% 8.69/2.10 % (1307393)dis-21_1_sil=8000:lcm=predicate:random_seed=3777241010: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)
% 8.69/2.10 % (1307389)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2501779661:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.69/2.10 % (1307391)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=220311849:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.69/2.10 % (1307388)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3823418789:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.69/2.10 % (1307390)lrs+10_1_sil=8000:sp=occurrence:random_seed=1862983220:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.69/2.10 % (1307387)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=1921788703:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.69/2.10 % (1307392)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2628058778:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.69/2.10 % (1307393)Instruction limit reached!
% 8.69/2.10 % (1307393)------------------------------
% 8.69/2.10 % (1307393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.10 % (1307393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.10 % (1307393)CaDiCaL version: 2.1.3
% 8.69/2.10 % (1307393)Termination reason: Instruction limit
% 8.69/2.10 % (1307393)Termination phase: Saturation
% 8.69/2.10 % (1307393)Time elapsed: 0.029 s
% 8.69/2.10 % (1307393)Peak memory usage: 88 MB
% 8.69/2.10 % (1307393)Instructions burned: 119 (million)
% 8.69/2.10 % (1307390)Refutation not found, incomplete strategy
% 8.69/2.10 % (1307390)------------------------------
% 8.69/2.10 % (1307390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.10 % (1307390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.10 % (1307390)CaDiCaL version: 2.1.3
% 8.69/2.10 % (1307390)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.10 % (1307390)Time elapsed: 0.002 s
% 8.69/2.10 % (1307390)Peak memory usage: 88 MB
% 8.69/2.10 % (1307390)Instructions burned: 1 (million)
% 8.69/2.10 % (1307391)Refutation not found, incomplete strategy
% 8.69/2.10 % (1307391)------------------------------
% 8.69/2.10 % (1307391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.10 % (1307391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.10 % (1307391)CaDiCaL version: 2.1.3
% 8.69/2.10 % (1307391)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.10 % (1307391)Time elapsed: 0.004 s
% 8.69/2.10 % (1307391)Peak memory usage: 87 MB
% 8.69/2.10 % (1307391)Instructions burned: 1 (million)
% 8.69/2.10 % (1307392)Instruction limit reached!
% 8.69/2.10 % (1307392)------------------------------
% 8.69/2.10 % (1307392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.10 % (1307392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.10 % (1307392)CaDiCaL version: 2.1.3
% 8.69/2.10 % (1307392)Termination reason: Instruction limit
% 8.69/2.10 % (1307392)Termination phase: Saturation
% 8.69/2.10 % (1307392)Time elapsed: 0.120 s
% 8.69/2.10 % (1307392)Peak memory usage: 89 MB
% 8.69/2.10 % (1307392)Instructions burned: 181 (million)
% 8.69/2.10 % (1307401)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=848243886:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.69/2.10 % (1307401)Refutation not found, incomplete strategy
% 8.69/2.10 % (1307401)------------------------------
% 8.69/2.10 % (1307401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.10 % (1307401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.10 % (1307401)CaDiCaL version: 2.1.3
% 8.69/2.10 % (1307401)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.10 % (1307401)Time elapsed: 0.001 s
% 8.69/2.10 % (1307401)Peak memory usage: 88 MB
% 8.69/2.10 % (1307401)Instructions burned: 1 (million)
% 8.69/2.10 % (1307391)------------------------------
% 8.69/2.10 % (1307391)------------------------------
% 8.69/2.10 % (1307390)------------------------------
% 8.69/2.10 % (1307390)------------------------------
% 8.69/2.10 % (1307401)------------------------------
% 8.69/2.10 % (1307401)------------------------------
% 8.69/2.10 % (1307402)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2832180099:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.69/2.10 % (1307406)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2118936727:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.69/2.10 % (1307405)lrs+10_64_to=lpo:sil=8000:random_seed=2181708812:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.69/2.10 % (1307404)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3360968936:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 8.69/2.10 % (1307404)Refutation not found, incomplete strategy
% 8.69/2.10 % (1307404)------------------------------
% 8.69/2.10 % (1307404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.10 % (1307404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.10 % (1307404)CaDiCaL version: 2.1.3
% 8.69/2.10 % (1307404)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.10 % (1307404)Time elapsed: 0.002 s
% 8.69/2.10 % (1307404)Peak memory usage: 88 MB
% 8.69/2.10 % (1307404)Instructions burned: 3 (million)
% 8.69/2.10 % (1307402)Instruction limit reached!
% 8.69/2.10 % (1307402)------------------------------
% 8.69/2.10 % (1307402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.10 % (1307402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.10 % (1307402)CaDiCaL version: 2.1.3
% 8.69/2.10 % (1307402)Termination reason: Instruction limit
% 8.69/2.10 % (1307402)Termination phase: Saturation
% 8.69/2.10 % (1307402)Time elapsed: 0.102 s
% 8.69/2.10 % (1307402)Peak memory usage: 89 MB
% 8.69/2.10 % (1307402)Instructions burned: 189 (million)
% 8.69/2.10 % (1307406)Instruction limit reached!
% 8.69/2.10 % (1307406)------------------------------
% 8.69/2.10 % (1307406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.10 % (1307406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.10 % (1307406)CaDiCaL version: 2.1.3
% 8.69/2.10 % (1307406)Termination reason: Instruction limit
% 8.69/2.10 % (1307406)Termination phase: Saturation
% 8.69/2.10 % (1307406)Time elapsed: 0.067 s
% 8.69/2.10 % (1307406)Peak memory usage: 90 MB
% 8.69/2.10 % (1307406)Instructions burned: 194 (million)
% 8.69/2.10 % (1307405)Instruction limit reached!
% 8.69/2.10 % (1307405)------------------------------
% 8.69/2.10 % (1307405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.10 % (1307405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.10 % (1307405)CaDiCaL version: 2.1.3
% 8.69/2.10 % (1307405)Termination reason: Instruction limit
% 8.69/2.10 % (1307405)Termination phase: Saturation
% 8.69/2.10 % (1307405)Time elapsed: 0.075 s
% 8.69/2.10 % (1307405)Peak memory usage: 89 MB
% 8.69/2.10 % (1307405)Instructions burned: 128 (million)
% 8.69/2.10 % (1307411)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2867187938:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.69/2.10 % (1307412)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1787993288:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.69/2.10 % (1307404)------------------------------
% 8.69/2.10 % (1307404)------------------------------
% 8.69/2.10 % (1307413)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1169123079:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.69/2.10 % (1307413)Refutation not found, incomplete strategy
% 8.69/2.10 % (1307413)------------------------------
% 8.69/2.10 % (1307413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.10 % (1307413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.10 % (1307413)CaDiCaL version: 2.1.3
% 8.69/2.10 % (1307413)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.10 % (1307413)Time elapsed: 0.002 s
% 8.69/2.10 % (1307413)Peak memory usage: 88 MB
% 8.69/2.10 % (1307413)Instructions burned: 1 (million)
% 8.69/2.10 % (1307411)Instruction limit reached!
% 8.69/2.10 % (1307411)------------------------------
% 8.69/2.10 % (1307411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.10 % (1307411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.10 % (1307411)CaDiCaL version: 2.1.3
% 8.69/2.10 % (1307411)Termination reason: Instruction limit
% 8.69/2.10 % (1307411)Termination phase: Saturation
% 8.69/2.10 % (1307411)Time elapsed: 0.107 s
% 8.69/2.10 % (1307411)Peak memory usage: 90 MB
% 8.69/2.10 % (1307411)Instructions burned: 157 (million)
% 8.69/2.10 % (1307389)First to succeed.
% 8.69/2.10 % (1307389)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1307382"
% 8.69/2.10 % (1307417)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=644875759:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 8.69/2.10 % (1307418)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3110170334:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.69/2.10 % (1307413)------------------------------
% 8.69/2.10 % (1307413)------------------------------
% 8.69/2.10 % (1307417)Instruction limit reached!
% 8.69/2.10 % (1307417)------------------------------
% 8.69/2.10 % (1307417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.10 % (1307417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.10 % (1307417)CaDiCaL version: 2.1.3
% 8.69/2.10 % (1307417)Termination reason: Instruction limit
% 8.69/2.10 % (1307417)Termination phase: Saturation
% 8.69/2.10 % (1307417)Time elapsed: 0.070 s
% 8.69/2.10 % (1307417)Peak memory usage: 89 MB
% 8.69/2.10 % (1307417)Instructions burned: 108 (million)
% 8.69/2.10 % (1307387)Also succeeded, but the first one will report.
% 8.69/2.10 % (1307418)Instruction limit reached!
% 8.69/2.10 % (1307418)------------------------------
% 8.69/2.10 % (1307418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.10 % (1307418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.10 % (1307418)CaDiCaL version: 2.1.3
% 8.69/2.10 % (1307418)Termination reason: Instruction limit
% 8.69/2.10 % (1307418)Termination phase: Saturation
% 8.69/2.10 % (1307418)Time elapsed: 0.143 s
% 8.69/2.10 % (1307418)Peak memory usage: 89 MB
% 8.69/2.10 % (1307418)Instructions burned: 243 (million)
% 8.69/2.10 % (1307389)Refutation found. Thanks to Tanya!
% 8.69/2.10 % SZS status Unsatisfiable for theBenchmark
% 8.69/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 9.31/2.21 % (1307389)------------------------------
% 9.31/2.21 % (1307389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.31/2.21 % (1307389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.31/2.21 % (1307389)CaDiCaL version: 2.1.3
% 9.31/2.21 % (1307389)Termination reason: Refutation
% 9.31/2.21 % (1307389)Time elapsed: 0.801 s
% 9.31/2.21 % (1307389)Peak memory usage: 130 MB
% 9.31/2.21 % (1307389)Instructions burned: 1184 (million)
% 9.31/2.21 % (1307389)------------------------------
% 9.31/2.21 % (1307389)------------------------------
% 9.31/2.21 % (1307382)Success in time 1.249 s
% 9.31/2.21 % Vampire exiting
%------------------------------------------------------------------------------