%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO138-1 : 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 : 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 09:51:40 AM UTC 2026
% Result : Unsatisfiable 14.50s 3.00s
% Output : Refutation 15.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 44
% Syntax : Number of formulae : 274 ( 28 unt; 19 def)
% Number of atoms : 825 ( 117 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 952 ( 401 ~; 534 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 18 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-5 aty)
% Number of variables : 359 ( 0 sgn 359 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_22) ).
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(f69,axiom,
! [X2,X3,X0,X1] :
( end_point(X3,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_4) ).
fof(f70,axiom,
! [X2,X3,X0,X1] :
( inner_point(X2,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_5) ).
fof(f72,axiom,
! [X2,X3,X0,X1] :
( ~ between_o(X0,X1,X2,X3)
| ordered_by(X0,X1,X2)
| ordered_by(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn_1) ).
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(f77,axiom,
! [X2,X3,X0,X1] :
( between_o(X0,X3,X2,X1)
| ~ ordered_by(X0,X2,X3)
| ~ ordered_by(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn_6) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ordered_by(X1,X0,X2)
| X0 = X2
| ~ incident_o(X2,X1)
| ~ start_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn_8) ).
fof(f90,axiom,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o1_17) ).
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(f95,axiom,
! [X2,X3,X0,X1,X4] :
( incident_c(X4,ax2_sk4(X0,X3,X2,X1))
| ~ incident_o(X4,X0)
| ~ between_o(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3_22) ).
fof(f96,axiom,
! [X2,X3,X0,X1,X4] :
( ~ incident_c(X4,ax2_sk4(X0,X3,X2,X1))
| ~ between_o(X0,X1,X2,X3)
| incident_o(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3_23) ).
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(f102,axiom,
! [X0] : start_point(ax2_sk6(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o4_29) ).
fof(f106,axiom,
! [X0,X1] :
( ordered_by(X1,ax2_sk8(X1,X0),ax2_sk9(X1,X0))
| ordered_by(X0,ax2_sk8(X1,X0),ax2_sk9(X1,X0))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o6_33) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ordered_by(X0,ax2_sk8(X0,X1),ax2_sk9(X0,X1))
| ~ ordered_by(X1,ax2_sk8(X0,X1),ax2_sk9(X0,X1))
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o6_36) ).
fof(f111,plain,
! [X0,X1] :
( ~ ordered_by(X1,ax2_sk8(X0,X1),ax2_sk9(X0,X1))
| ~ ordered_by(X0,ax2_sk8(X0,X1),ax2_sk9(X0,X1))
| X0 = X1 ),
inference(reorient_equations,[],[f110]) ).
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,
underlying_curve(sk25) = underlying_curve(sk26),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_21_133) ).
fof(f125,negated_conjecture,
ordered_by(sk25,sk27,sk28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_21_134) ).
fof(f126,negated_conjecture,
ordered_by(sk26,sk27,sk28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_21_135) ).
fof(f127,negated_conjecture,
sk25 != sk26,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_21_136) ).
fof(f132,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f66]) ).
fof(f133,plain,
! [X2,X1] :
( incident_c(X2,underlying_curve(X1))
| ~ incident_o(X2,X1) ),
inference(equality_resolution,[],[f113]) ).
fof(f134,plain,
! [X2,X1] :
( ~ incident_c(X2,underlying_curve(X1))
| incident_o(X2,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f135,definition,
sF0 = underlying_curve(sk25),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f136,plain,
underlying_curve(sk25) = sF0,
inference(reorient_equations,[],[f135]) ).
fof(f137,definition,
sF1 = underlying_curve(sk26),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f138,plain,
underlying_curve(sk26) = sF1,
inference(reorient_equations,[],[f137]) ).
fof(f139,plain,
sF0 = sF1,
inference(definition_folding,[],[f124,f138,f136]) ).
fof(f142,plain,
underlying_curve(sk26) = sF0,
inference(forward_demodulation,[],[f138,f139]) ).
fof(f143,plain,
! [X0] :
( ~ incident_c(X0,sF0)
| incident_o(X0,sk26) ),
inference(superposition,[],[f134,f142]) ).
fof(f144,plain,
! [X0] :
( ~ incident_c(X0,sF0)
| incident_o(X0,sk25) ),
inference(superposition,[],[f134,f136]) ).
fof(f145,plain,
! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1),
inference(resolution,[],[f132,f97]) ).
fof(f147,plain,
! [X0] :
( ~ incident_o(X0,sk26)
| incident_c(X0,sF0) ),
inference(superposition,[],[f133,f142]) ).
fof(f148,plain,
! [X0] :
( ~ incident_o(X0,sk25)
| incident_c(X0,sF0) ),
inference(superposition,[],[f133,f136]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X1,X2) ),
inference(resolution,[],[f145,f77]) ).
fof(f155,plain,
~ ordered_by(sk26,sk28,sk27),
inference(resolution,[],[f154,f126]) ).
fof(f156,plain,
~ ordered_by(sk25,sk28,sk27),
inference(resolution,[],[f154,f125]) ).
fof(f170,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ incident_o(X1,X2)
| ~ start_point(X0,X2)
| ~ ordered_by(X2,X1,X0) ),
inference(resolution,[],[f79,f154]) ).
fof(f173,plain,
! [X0,X1] :
( ~ ordered_by(X0,ax2_sk8(X0,X1),ax2_sk9(X0,X1))
| ~ incident_o(ax2_sk9(X0,X1),X1)
| ~ start_point(ax2_sk8(X0,X1),X1)
| ax2_sk8(X0,X1) = ax2_sk9(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f79,f111]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ ordered_by(X2,X1,X0)
| ~ start_point(X0,X2)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f170,f90]) ).
fof(f372,plain,
! [X0,X1] :
( ordered_by(X1,ax2_sk8(X0,X1),ax2_sk9(X0,X1))
| X0 = X1
| incident_o(ax2_sk9(X0,X1),X0) ),
inference(resolution,[],[f106,f91]) ).
fof(f386,plain,
! [X0,X1] :
( incident_o(ax2_sk9(X0,X1),X1)
| incident_o(ax2_sk9(X0,X1),X0)
| X0 = X1 ),
inference(resolution,[],[f372,f91]) ).
fof(f396,plain,
! [X0] :
( incident_o(ax2_sk9(X0,sk25),X0)
| sk25 = X0
| incident_c(ax2_sk9(X0,sk25),sF0) ),
inference(resolution,[],[f386,f148]) ).
fof(f471,plain,
! [X2,X3,X0,X1] :
( ~ end_point(X2,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
inference(resolution,[],[f70,f31]) ).
fof(f509,plain,
! [X2,X0,X1] :
( ~ between_c(X0,X1,X2,X2)
| ~ between_c(X0,X1,X2,X2) ),
inference(resolution,[],[f471,f69]) ).
fof(f512,plain,
! [X2,X0,X1] : ~ between_c(X0,X1,X2,X2),
inference(duplicate_literal_removal,[],[f509]) ).
fof(f517,plain,
! [X2,X0,X1] : ~ between_o(X0,X1,X2,X2),
inference(resolution,[],[f512,f97]) ).
fof(f522,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X1,X1) ),
inference(resolution,[],[f517,f77]) ).
fof(f709,definition,
( spl2_26
<=> incident_c(ax2_sk9(sk26,sk25),sF0) ),
introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).
fof(f710,plain,
( ~ incident_c(ax2_sk9(sk26,sk25),sF0)
| spl2_26 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f711,plain,
( incident_c(ax2_sk9(sk26,sk25),sF0)
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f726,plain,
( incident_o(ax2_sk9(sk26,sk25),sk25)
| ~ spl2_26 ),
inference(resolution,[],[f711,f144]) ).
fof(f727,plain,
( incident_o(ax2_sk9(sk26,sk25),sk26)
| ~ spl2_26 ),
inference(resolution,[],[f711,f143]) ).
fof(f749,plain,
( sk25 = sk26
| incident_c(ax2_sk9(sk26,sk25),sF0)
| incident_c(ax2_sk9(sk26,sk25),sF0) ),
inference(resolution,[],[f396,f147]) ).
fof(f753,plain,
( sk25 = sk26
| incident_c(ax2_sk9(sk26,sk25),sF0) ),
inference(duplicate_literal_removal,[],[f749]) ).
fof(f754,plain,
incident_c(ax2_sk9(sk26,sk25),sF0),
inference(forward_subsumption_resolution,[],[f753,f127]) ).
fof(f755,plain,
( $false
| spl2_26 ),
inference(forward_subsumption_resolution,[],[f754,f710]) ).
fof(f756,plain,
spl2_26,
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f1357,plain,
! [X0,X1] :
( ~ incident_o(ax2_sk9(X0,X1),X1)
| ~ start_point(ax2_sk8(X0,X1),X1)
| ax2_sk8(X0,X1) = ax2_sk9(X0,X1)
| X0 = X1
| ax2_sk8(X0,X1) = ax2_sk9(X0,X1)
| ~ incident_o(ax2_sk9(X0,X1),X0)
| ~ start_point(ax2_sk8(X0,X1),X0) ),
inference(resolution,[],[f173,f79]) ).
fof(f1358,plain,
! [X0,X1] :
( ~ incident_o(ax2_sk9(X0,X1),X1)
| ~ start_point(ax2_sk8(X0,X1),X1)
| ax2_sk8(X0,X1) = ax2_sk9(X0,X1)
| X0 = X1
| ~ incident_o(ax2_sk9(X0,X1),X0)
| ~ start_point(ax2_sk8(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f1357]) ).
fof(f1372,plain,
( ~ start_point(ax2_sk8(sk26,sk25),sk25)
| ax2_sk9(sk26,sk25) = ax2_sk8(sk26,sk25)
| sk25 = sk26
| ~ incident_o(ax2_sk9(sk26,sk25),sk26)
| ~ start_point(ax2_sk8(sk26,sk25),sk26)
| ~ spl2_26 ),
inference(resolution,[],[f1358,f726]) ).
fof(f1382,plain,
( ~ start_point(ax2_sk8(sk26,sk25),sk25)
| ax2_sk9(sk26,sk25) = ax2_sk8(sk26,sk25)
| ~ incident_o(ax2_sk9(sk26,sk25),sk26)
| ~ start_point(ax2_sk8(sk26,sk25),sk26)
| ~ spl2_26 ),
inference(forward_subsumption_resolution,[],[f1372,f127]) ).
fof(f1384,plain,
( ~ start_point(ax2_sk8(sk26,sk25),sk25)
| ax2_sk9(sk26,sk25) = ax2_sk8(sk26,sk25)
| ~ start_point(ax2_sk8(sk26,sk25),sk26)
| ~ spl2_26 ),
inference(forward_subsumption_resolution,[],[f1382,f727]) ).
fof(f1387,definition,
( spl2_39
<=> start_point(ax2_sk8(sk26,sk25),sk26) ),
introduced(definition,[new_symbols(definition,[spl2_39])],[avatar_definition]) ).
fof(f1389,plain,
( ~ start_point(ax2_sk8(sk26,sk25),sk26)
| spl2_39 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f1391,definition,
( spl2_40
<=> ax2_sk9(sk26,sk25) = ax2_sk8(sk26,sk25) ),
introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).
fof(f1393,plain,
( ax2_sk9(sk26,sk25) = ax2_sk8(sk26,sk25)
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f1395,definition,
( spl2_41
<=> start_point(ax2_sk8(sk26,sk25),sk25) ),
introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).
fof(f1397,plain,
( ~ start_point(ax2_sk8(sk26,sk25),sk25)
| spl2_41 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f1398,plain,
( ~ spl2_39
| spl2_40
| ~ spl2_41
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f1384,f709,f1395,f1391,f1387]) ).
fof(f1669,plain,
! [X2,X3,X0,X1] :
( incident_c(ax2_sk5(X0,sk26,X1,X2,X3),sF0)
| incident_c(ax2_sk5(X0,sk26,X1,X2,X3),X0)
| between_o(sk26,X3,X2,X1)
| ~ between_c(X0,X3,X2,X1) ),
inference(resolution,[],[f98,f147]) ).
fof(f1670,plain,
! [X2,X3,X0,X1] :
( incident_c(ax2_sk5(X0,sk25,X1,X2,X3),sF0)
| incident_c(ax2_sk5(X0,sk25,X1,X2,X3),X0)
| between_o(sk25,X3,X2,X1)
| ~ between_c(X0,X3,X2,X1) ),
inference(resolution,[],[f98,f148]) ).
fof(f1688,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( incident_o(ax2_sk5(ax2_sk4(X0,X1,X2,X3),sk26,X4,X5,X6),X0)
| between_o(sk26,X6,X5,X4)
| ~ between_c(ax2_sk4(X0,X1,X2,X3),X6,X5,X4)
| ~ between_o(X0,X3,X2,X1)
| incident_c(ax2_sk5(ax2_sk4(X0,X1,X2,X3),sk26,X4,X5,X6),sF0) ),
inference(resolution,[],[f1669,f96]) ).
fof(f1701,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( incident_o(ax2_sk5(ax2_sk4(X0,X1,X2,X3),sk25,X4,X5,X6),X0)
| between_o(sk25,X6,X5,X4)
| ~ between_c(ax2_sk4(X0,X1,X2,X3),X6,X5,X4)
| ~ between_o(X0,X3,X2,X1)
| incident_c(ax2_sk5(ax2_sk4(X0,X1,X2,X3),sk25,X4,X5,X6),sF0) ),
inference(resolution,[],[f1670,f96]) ).
fof(f1715,plain,
! [X2,X3,X0,X1,X4,X5] :
( between_o(sk26,X0,X1,X2)
| ~ between_c(ax2_sk4(sk25,X3,X4,X5),X0,X1,X2)
| ~ between_o(sk25,X5,X4,X3)
| incident_c(ax2_sk5(ax2_sk4(sk25,X3,X4,X5),sk26,X2,X1,X0),sF0)
| incident_c(ax2_sk5(ax2_sk4(sk25,X3,X4,X5),sk26,X2,X1,X0),sF0) ),
inference(resolution,[],[f1688,f148]) ).
fof(f1717,plain,
! [X2,X3,X0,X1,X4,X5] :
( incident_c(ax2_sk5(ax2_sk4(sk25,X3,X4,X5),sk26,X2,X1,X0),sF0)
| ~ between_c(ax2_sk4(sk25,X3,X4,X5),X0,X1,X2)
| ~ between_o(sk25,X5,X4,X3)
| between_o(sk26,X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f1715]) ).
fof(f1723,plain,
! [X2,X3,X0,X1,X4,X5] :
( incident_o(ax2_sk5(ax2_sk4(sk25,X0,X1,X2),sk26,X5,X4,X3),sk25)
| ~ between_o(sk25,X2,X1,X0)
| between_o(sk26,X3,X4,X5)
| ~ between_c(ax2_sk4(sk25,X0,X1,X2),X3,X4,X5) ),
inference(resolution,[],[f1717,f144]) ).
fof(f1724,plain,
! [X2,X3,X0,X1,X4,X5] :
( incident_o(ax2_sk5(ax2_sk4(sk25,X0,X1,X2),sk26,X5,X4,X3),sk26)
| ~ between_o(sk25,X2,X1,X0)
| between_o(sk26,X3,X4,X5)
| ~ between_c(ax2_sk4(sk25,X0,X1,X2),X3,X4,X5) ),
inference(resolution,[],[f1717,f143]) ).
fof(f2016,definition,
( spl2_53
<=> start_point(sk27,sk26) ),
introduced(definition,[new_symbols(definition,[spl2_53])],[avatar_definition]) ).
fof(f2017,plain,
( ~ start_point(sk27,sk26)
| spl2_53 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f2018,plain,
( start_point(sk27,sk26)
| ~ spl2_53 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f2253,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between_o(sk25,X0,X1,X2)
| between_o(sk26,X3,X4,X5)
| ~ between_c(ax2_sk4(sk25,X2,X1,X0),X3,X4,X5)
| ~ incident_c(ax2_sk5(ax2_sk4(sk25,X2,X1,X0),sk26,X5,X4,X3),ax2_sk4(sk25,X2,X1,X0))
| ~ between_c(ax2_sk4(sk25,X2,X1,X0),X3,X4,X5)
| between_o(sk26,X3,X4,X5) ),
inference(resolution,[],[f1724,f101]) ).
fof(f2257,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ incident_c(ax2_sk5(ax2_sk4(sk25,X2,X1,X0),sk26,X5,X4,X3),ax2_sk4(sk25,X2,X1,X0))
| between_o(sk26,X3,X4,X5)
| ~ between_c(ax2_sk4(sk25,X2,X1,X0),X3,X4,X5)
| ~ between_o(sk25,X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f2253]) ).
fof(f2260,plain,
! [X2,X3,X0,X1,X4,X5] :
( between_o(sk26,X0,X1,X2)
| ~ between_c(ax2_sk4(sk25,X3,X4,X5),X0,X1,X2)
| ~ between_o(sk25,X5,X4,X3)
| ~ incident_o(ax2_sk5(ax2_sk4(sk25,X3,X4,X5),sk26,X2,X1,X0),sk25)
| ~ between_o(sk25,X5,X4,X3) ),
inference(resolution,[],[f2257,f95]) ).
fof(f2261,plain,
! [X2,X3,X0,X1,X4,X5] :
( between_o(sk26,X0,X1,X2)
| ~ between_c(ax2_sk4(sk25,X3,X4,X5),X0,X1,X2)
| ~ between_o(sk25,X5,X4,X3)
| ~ incident_o(ax2_sk5(ax2_sk4(sk25,X3,X4,X5),sk26,X2,X1,X0),sk25) ),
inference(duplicate_literal_removal,[],[f2260]) ).
fof(f2264,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between_c(ax2_sk4(sk25,X3,X4,X5),X0,X1,X2)
| between_o(sk26,X0,X1,X2)
| ~ between_o(sk25,X5,X4,X3) ),
inference(forward_subsumption_resolution,[],[f2261,f1723]) ).
fof(f2265,plain,
! [X2,X0,X1] :
( between_o(sk26,X0,X1,X2)
| ~ between_o(sk25,X0,X1,X2)
| ~ between_o(sk25,X0,X1,X2) ),
inference(resolution,[],[f2264,f97]) ).
fof(f2272,plain,
! [X2,X0,X1] :
( ~ between_o(sk25,X0,X1,X2)
| between_o(sk26,X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f2265]) ).
fof(f2274,plain,
! [X2,X0,X1] :
( between_o(sk26,X0,X1,X2)
| ~ ordered_by(sk25,X1,X0)
| ~ ordered_by(sk25,X2,X1) ),
inference(resolution,[],[f2272,f77]) ).
fof(f2278,plain,
! [X2,X0,X1] :
( ~ ordered_by(sk25,X2,X0)
| ~ ordered_by(sk25,X0,X1)
| ordered_by(sk26,X0,X2)
| ordered_by(sk26,X0,X1) ),
inference(resolution,[],[f2274,f75]) ).
fof(f2279,plain,
! [X2,X0,X1] :
( ~ ordered_by(sk25,X2,X0)
| ~ ordered_by(sk25,X0,X1)
| ordered_by(sk26,X1,X0)
| ordered_by(sk26,X2,X0) ),
inference(resolution,[],[f2274,f72]) ).
fof(f2283,plain,
! [X2,X0,X1] :
( ~ ordered_by(sk25,X0,X1)
| ordered_by(sk26,X0,X2)
| ordered_by(sk26,X0,X1)
| X0 = X2
| ~ incident_o(X0,sk25)
| ~ start_point(X2,sk25) ),
inference(resolution,[],[f2278,f79]) ).
fof(f2292,plain,
! [X2,X0,X1] :
( ~ ordered_by(sk25,X0,X1)
| ordered_by(sk26,X0,X2)
| ordered_by(sk26,X0,X1)
| X0 = X2
| ~ start_point(X2,sk25) ),
inference(forward_subsumption_resolution,[],[f2283,f90]) ).
fof(f2300,plain,
! [X0,X1] :
( ordered_by(sk26,ax2_sk8(X0,sk25),ax2_sk9(X0,sk25))
| ordered_by(X0,ax2_sk8(X0,sk25),ax2_sk9(X0,sk25))
| ordered_by(sk26,ax2_sk8(X0,sk25),X1)
| ~ start_point(X1,sk25)
| ax2_sk8(X0,sk25) = X1
| sk25 = X0 ),
inference(resolution,[],[f2292,f106]) ).
fof(f2303,plain,
! [X2,X0,X1] :
( ~ ordered_by(sk25,X0,X1)
| ordered_by(sk26,X1,X0)
| ordered_by(sk26,X2,X0)
| X0 = X2
| ~ incident_o(X0,sk25)
| ~ start_point(X2,sk25) ),
inference(resolution,[],[f2279,f79]) ).
fof(f2311,plain,
! [X2,X0,X1] :
( ~ ordered_by(sk25,X0,X1)
| ordered_by(sk26,X1,X0)
| ordered_by(sk26,X2,X0)
| X0 = X2
| ~ start_point(X2,sk25) ),
inference(forward_subsumption_resolution,[],[f2303,f90]) ).
fof(f2320,plain,
! [X0] :
( ordered_by(sk26,sk28,sk27)
| ordered_by(sk26,X0,sk27)
| sk27 = X0
| ~ start_point(X0,sk25) ),
inference(resolution,[],[f2311,f125]) ).
fof(f2321,plain,
! [X0] :
( ordered_by(sk26,X0,sk27)
| sk27 = X0
| ~ start_point(X0,sk25) ),
inference(forward_subsumption_resolution,[],[f2320,f155]) ).
fof(f2418,plain,
! [X0] :
( ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk9(sk26,sk25))
| ordered_by(sk26,ax2_sk8(sk26,sk25),X0)
| ~ start_point(X0,sk25)
| ax2_sk8(sk26,sk25) = X0
| sk25 = sk26 ),
inference(factoring,[],[f2300]) ).
fof(f2425,plain,
! [X0] :
( ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk9(sk26,sk25))
| ordered_by(sk26,ax2_sk8(sk26,sk25),X0)
| ~ start_point(X0,sk25)
| ax2_sk8(sk26,sk25) = X0 ),
inference(forward_subsumption_resolution,[],[f2418,f127]) ).
fof(f2432,definition,
( spl2_67
<=> ! [X0] :
( ordered_by(sk26,ax2_sk8(sk26,sk25),X0)
| ax2_sk8(sk26,sk25) = X0
| ~ start_point(X0,sk25) ) ),
introduced(definition,[new_symbols(definition,[spl2_67])],[avatar_definition]) ).
fof(f2433,plain,
( ! [X0] :
( ordered_by(sk26,ax2_sk8(sk26,sk25),X0)
| ax2_sk8(sk26,sk25) = X0
| ~ start_point(X0,sk25) )
| ~ spl2_67 ),
inference(avatar_component_clause,[],[f2432]) ).
fof(f2435,definition,
( spl2_68
<=> ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk9(sk26,sk25)) ),
introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).
fof(f2436,plain,
( ~ ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk9(sk26,sk25))
| spl2_68 ),
inference(avatar_component_clause,[],[f2435]) ).
fof(f2437,plain,
( ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk9(sk26,sk25))
| ~ spl2_68 ),
inference(avatar_component_clause,[],[f2435]) ).
fof(f2438,plain,
( spl2_67
| spl2_68 ),
inference(avatar_split_clause,[],[f2425,f2435,f2432]) ).
fof(f2456,definition,
( spl2_69
<=> ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk8(sk26,sk25)) ),
introduced(definition,[new_symbols(definition,[spl2_69])],[avatar_definition]) ).
fof(f2457,plain,
( ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk8(sk26,sk25))
| ~ spl2_69 ),
inference(avatar_component_clause,[],[f2456]) ).
fof(f2458,plain,
( ~ ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk8(sk26,sk25))
| spl2_69 ),
inference(avatar_component_clause,[],[f2456]) ).
fof(f2541,plain,
( ~ ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk8(sk26,sk25))
| ~ spl2_68 ),
inference(resolution,[],[f2437,f522]) ).
fof(f2627,definition,
( spl2_76
<=> ax2_sk6(sk26) = ax2_sk8(sk26,sk25) ),
introduced(definition,[new_symbols(definition,[spl2_76])],[avatar_definition]) ).
fof(f2628,plain,
( ax2_sk6(sk26) != ax2_sk8(sk26,sk25)
| spl2_76 ),
inference(avatar_component_clause,[],[f2627]) ).
fof(f2629,plain,
( ax2_sk6(sk26) = ax2_sk8(sk26,sk25)
| ~ spl2_76 ),
inference(avatar_component_clause,[],[f2627]) ).
fof(f6304,plain,
! [X2,X3,X0,X1,X4,X5] :
( between_o(sk25,X0,X1,X2)
| ~ between_c(ax2_sk4(sk26,X3,X4,X5),X0,X1,X2)
| ~ between_o(sk26,X5,X4,X3)
| incident_c(ax2_sk5(ax2_sk4(sk26,X3,X4,X5),sk25,X2,X1,X0),sF0)
| incident_c(ax2_sk5(ax2_sk4(sk26,X3,X4,X5),sk25,X2,X1,X0),sF0) ),
inference(resolution,[],[f1701,f147]) ).
fof(f6308,plain,
! [X2,X3,X0,X1,X4,X5] :
( incident_c(ax2_sk5(ax2_sk4(sk26,X3,X4,X5),sk25,X2,X1,X0),sF0)
| ~ between_c(ax2_sk4(sk26,X3,X4,X5),X0,X1,X2)
| ~ between_o(sk26,X5,X4,X3)
| between_o(sk25,X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f6304]) ).
fof(f6311,plain,
! [X2,X3,X0,X1,X4,X5] :
( incident_o(ax2_sk5(ax2_sk4(sk26,X0,X1,X2),sk25,X5,X4,X3),sk25)
| ~ between_o(sk26,X2,X1,X0)
| between_o(sk25,X3,X4,X5)
| ~ between_c(ax2_sk4(sk26,X0,X1,X2),X3,X4,X5) ),
inference(resolution,[],[f6308,f144]) ).
fof(f6312,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between_c(ax2_sk4(sk26,X0,X1,X2),X3,X4,X5)
| ~ between_o(sk26,X2,X1,X0)
| between_o(sk25,X3,X4,X5)
| incident_o(ax2_sk5(ax2_sk4(sk26,X0,X1,X2),sk25,X5,X4,X3),sk26) ),
inference(resolution,[],[f6308,f143]) ).
fof(f6322,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between_o(sk26,X0,X1,X2)
| between_o(sk25,X3,X4,X5)
| ~ between_c(ax2_sk4(sk26,X2,X1,X0),X3,X4,X5)
| ~ incident_c(ax2_sk5(ax2_sk4(sk26,X2,X1,X0),sk25,X5,X4,X3),ax2_sk4(sk26,X2,X1,X0))
| ~ between_c(ax2_sk4(sk26,X2,X1,X0),X3,X4,X5)
| between_o(sk25,X3,X4,X5) ),
inference(resolution,[],[f6311,f101]) ).
fof(f6324,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ incident_c(ax2_sk5(ax2_sk4(sk26,X2,X1,X0),sk25,X5,X4,X3),ax2_sk4(sk26,X2,X1,X0))
| between_o(sk25,X3,X4,X5)
| ~ between_c(ax2_sk4(sk26,X2,X1,X0),X3,X4,X5)
| ~ between_o(sk26,X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f6322]) ).
fof(f6327,plain,
! [X2,X3,X0,X1,X4,X5] :
( between_o(sk25,X0,X1,X2)
| ~ between_c(ax2_sk4(sk26,X3,X4,X5),X0,X1,X2)
| ~ between_o(sk26,X5,X4,X3)
| ~ incident_o(ax2_sk5(ax2_sk4(sk26,X3,X4,X5),sk25,X2,X1,X0),sk26)
| ~ between_o(sk26,X5,X4,X3) ),
inference(resolution,[],[f6324,f95]) ).
fof(f6328,plain,
! [X2,X3,X0,X1,X4,X5] :
( between_o(sk25,X0,X1,X2)
| ~ between_c(ax2_sk4(sk26,X3,X4,X5),X0,X1,X2)
| ~ between_o(sk26,X5,X4,X3)
| ~ incident_o(ax2_sk5(ax2_sk4(sk26,X3,X4,X5),sk25,X2,X1,X0),sk26) ),
inference(duplicate_literal_removal,[],[f6327]) ).
fof(f6331,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between_c(ax2_sk4(sk26,X3,X4,X5),X0,X1,X2)
| between_o(sk25,X0,X1,X2)
| ~ between_o(sk26,X5,X4,X3) ),
inference(forward_subsumption_resolution,[],[f6328,f6312]) ).
fof(f6332,plain,
! [X2,X0,X1] :
( between_o(sk25,X0,X1,X2)
| ~ between_o(sk26,X0,X1,X2)
| ~ between_o(sk26,X0,X1,X2) ),
inference(resolution,[],[f6331,f97]) ).
fof(f6338,plain,
! [X2,X0,X1] :
( ~ between_o(sk26,X0,X1,X2)
| between_o(sk25,X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f6332]) ).
fof(f6342,plain,
! [X2,X0,X1] :
( between_o(sk25,X0,X1,X2)
| ~ ordered_by(sk26,X1,X2)
| ~ ordered_by(sk26,X0,X1) ),
inference(resolution,[],[f6338,f76]) ).
fof(f6349,plain,
! [X2,X0,X1] :
( ~ ordered_by(sk26,X2,X0)
| ~ ordered_by(sk26,X0,X1)
| ordered_by(sk25,X0,X1)
| ordered_by(sk25,X0,X2) ),
inference(resolution,[],[f6342,f75]) ).
fof(f6350,plain,
! [X2,X0,X1] :
( ~ ordered_by(sk26,X2,X0)
| ~ ordered_by(sk26,X0,X1)
| ordered_by(sk25,X2,X0)
| ordered_by(sk25,X1,X0) ),
inference(resolution,[],[f6342,f72]) ).
fof(f6387,plain,
! [X2,X0,X1] :
( ~ ordered_by(sk26,X0,X1)
| ordered_by(sk25,X0,X1)
| ordered_by(sk25,X0,X2)
| X0 = X2
| ~ incident_o(X0,sk26)
| ~ start_point(X2,sk26) ),
inference(resolution,[],[f6349,f79]) ).
fof(f6512,plain,
! [X2,X0,X1] :
( ~ ordered_by(sk26,X0,X1)
| ordered_by(sk25,X0,X1)
| ordered_by(sk25,X0,X2)
| X0 = X2
| ~ start_point(X2,sk26) ),
inference(forward_subsumption_resolution,[],[f6387,f90]) ).
fof(f7057,definition,
( spl2_185
<=> ! [X1] :
( ordered_by(sk25,ax2_sk8(sk26,sk25),X1)
| ~ start_point(X1,sk26)
| ax2_sk8(sk26,sk25) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl2_185])],[avatar_definition]) ).
fof(f7058,plain,
( ! [X1] :
( ordered_by(sk25,ax2_sk8(sk26,sk25),X1)
| ~ start_point(X1,sk26)
| ax2_sk8(sk26,sk25) = X1 )
| ~ spl2_185 ),
inference(avatar_component_clause,[],[f7057]) ).
fof(f7095,plain,
( ! [X0,X1] :
( ~ start_point(X0,sk26)
| ax2_sk8(sk26,sk25) = X0
| ~ ordered_by(sk25,X0,X1)
| ordered_by(sk26,X1,X0)
| ordered_by(sk26,ax2_sk8(sk26,sk25),X0) )
| ~ spl2_185 ),
inference(resolution,[],[f7058,f2279]) ).
fof(f7122,plain,
( ! [X0,X1] :
( ~ ordered_by(sk25,X0,X1)
| ax2_sk8(sk26,sk25) = X0
| ~ start_point(X0,sk26)
| ordered_by(sk26,X1,X0) )
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f7095,f178]) ).
fof(f7211,plain,
! [X2,X0,X1] :
( ~ ordered_by(sk26,X0,X1)
| ordered_by(sk25,X2,X0)
| ordered_by(sk25,X1,X0)
| X0 = X2
| ~ incident_o(X0,sk26)
| ~ start_point(X2,sk26) ),
inference(resolution,[],[f6350,f79]) ).
fof(f7264,plain,
( ! [X0,X1] :
( ~ ordered_by(sk26,X0,X1)
| ordered_by(sk25,ax2_sk8(sk26,sk25),X0)
| ordered_by(sk25,X1,X0)
| ax2_sk8(sk26,sk25) = X0
| ~ start_point(X0,sk25) )
| ~ spl2_67 ),
inference(resolution,[],[f6350,f2433]) ).
fof(f7302,plain,
( ! [X0,X1] :
( ~ ordered_by(sk26,X0,X1)
| ordered_by(sk25,X1,X0)
| ax2_sk8(sk26,sk25) = X0
| ~ start_point(X0,sk25) )
| ~ spl2_67 ),
inference(forward_subsumption_resolution,[],[f7264,f178]) ).
fof(f7323,plain,
! [X2,X0,X1] :
( ~ ordered_by(sk26,X0,X1)
| ordered_by(sk25,X2,X0)
| ordered_by(sk25,X1,X0)
| X0 = X2
| ~ start_point(X2,sk26) ),
inference(forward_subsumption_resolution,[],[f7211,f90]) ).
fof(f7381,definition,
( spl2_199
<=> ! [X0] :
( ~ start_point(X0,sk26)
| ax2_sk8(sk26,sk25) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl2_199])],[avatar_definition]) ).
fof(f7382,plain,
( ! [X0] :
( ~ start_point(X0,sk26)
| ax2_sk8(sk26,sk25) = X0 )
| ~ spl2_199 ),
inference(avatar_component_clause,[],[f7381]) ).
fof(f7398,definition,
( spl2_201
<=> sk27 = ax2_sk8(sk26,sk25) ),
introduced(definition,[new_symbols(definition,[spl2_201])],[avatar_definition]) ).
fof(f7399,plain,
( sk27 != ax2_sk8(sk26,sk25)
| spl2_201 ),
inference(avatar_component_clause,[],[f7398]) ).
fof(f7599,plain,
( ! [X0] :
( ordered_by(sk25,sk27,X0)
| ax2_sk8(sk26,sk25) = X0
| ~ start_point(X0,sk25)
| sk27 = X0
| ~ start_point(X0,sk25) )
| ~ spl2_67 ),
inference(resolution,[],[f7302,f2321]) ).
fof(f7677,plain,
( ordered_by(sk25,sk28,sk27)
| sk27 = ax2_sk8(sk26,sk25)
| ~ start_point(sk27,sk25)
| ~ spl2_67 ),
inference(resolution,[],[f7302,f126]) ).
fof(f7679,plain,
( ! [X0] :
( ordered_by(sk25,sk27,X0)
| ax2_sk8(sk26,sk25) = X0
| ~ start_point(X0,sk25)
| sk27 = X0 )
| ~ spl2_67 ),
inference(duplicate_literal_removal,[],[f7599]) ).
fof(f7694,plain,
( sk27 = ax2_sk8(sk26,sk25)
| ~ start_point(sk27,sk25)
| ~ spl2_67 ),
inference(forward_subsumption_resolution,[],[f7677,f156]) ).
fof(f7744,plain,
( ! [X0] :
( ~ start_point(X0,sk25)
| ax2_sk8(sk26,sk25) = X0
| sk27 = X0 )
| ~ spl2_67 ),
inference(forward_subsumption_resolution,[],[f7679,f178]) ).
fof(f7746,definition,
( spl2_214
<=> start_point(sk27,sk25) ),
introduced(definition,[new_symbols(definition,[spl2_214])],[avatar_definition]) ).
fof(f7747,plain,
( start_point(sk27,sk25)
| ~ spl2_214 ),
inference(avatar_component_clause,[],[f7746]) ).
fof(f7748,plain,
( ~ start_point(sk27,sk25)
| spl2_214 ),
inference(avatar_component_clause,[],[f7746]) ).
fof(f7749,plain,
( ~ spl2_214
| spl2_201
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f7694,f2432,f7398,f7746]) ).
fof(f7751,plain,
( ax2_sk6(sk25) = ax2_sk8(sk26,sk25)
| sk27 = ax2_sk6(sk25)
| ~ spl2_67 ),
inference(resolution,[],[f7744,f102]) ).
fof(f7755,definition,
( spl2_215
<=> sk27 = ax2_sk6(sk25) ),
introduced(definition,[new_symbols(definition,[spl2_215])],[avatar_definition]) ).
fof(f7756,plain,
( sk27 != ax2_sk6(sk25)
| spl2_215 ),
inference(avatar_component_clause,[],[f7755]) ).
fof(f7757,plain,
( sk27 = ax2_sk6(sk25)
| ~ spl2_215 ),
inference(avatar_component_clause,[],[f7755]) ).
fof(f7759,definition,
( spl2_216
<=> ax2_sk6(sk25) = ax2_sk8(sk26,sk25) ),
introduced(definition,[new_symbols(definition,[spl2_216])],[avatar_definition]) ).
fof(f7760,plain,
( ax2_sk6(sk25) != ax2_sk8(sk26,sk25)
| spl2_216 ),
inference(avatar_component_clause,[],[f7759]) ).
fof(f7761,plain,
( ax2_sk6(sk25) = ax2_sk8(sk26,sk25)
| ~ spl2_216 ),
inference(avatar_component_clause,[],[f7759]) ).
fof(f7762,plain,
( spl2_215
| spl2_216
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f7751,f2432,f7759,f7755]) ).
fof(f7768,plain,
( ~ start_point(ax2_sk6(sk25),sk26)
| spl2_39
| ~ spl2_216 ),
inference(superposition,[],[f1389,f7761]) ).
fof(f7769,plain,
( ~ start_point(ax2_sk6(sk25),sk25)
| spl2_41
| ~ spl2_216 ),
inference(superposition,[],[f1397,f7761]) ).
fof(f7878,plain,
( $false
| spl2_41
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f7769,f102]) ).
fof(f7879,plain,
( spl2_41
| ~ spl2_216 ),
inference(avatar_contradiction_clause,[],[f7878]) ).
fof(f7884,plain,
( sk27 != ax2_sk8(sk26,sk25)
| ~ spl2_215
| spl2_216 ),
inference(forward_demodulation,[],[f7760,f7757]) ).
fof(f7885,plain,
( ~ spl2_201
| ~ spl2_215
| spl2_216 ),
inference(avatar_split_clause,[],[f7884,f7759,f7755,f7398]) ).
fof(f7889,plain,
( start_point(sk27,sk25)
| ~ spl2_215 ),
inference(superposition,[],[f102,f7757]) ).
fof(f7890,plain,
( $false
| spl2_214
| ~ spl2_215 ),
inference(forward_subsumption_resolution,[],[f7889,f7748]) ).
fof(f7891,plain,
( spl2_214
| ~ spl2_215 ),
inference(avatar_contradiction_clause,[],[f7890]) ).
fof(f7894,plain,
( ~ start_point(sk27,sk26)
| spl2_39
| ~ spl2_215
| ~ spl2_216 ),
inference(forward_demodulation,[],[f7768,f7757]) ).
fof(f8438,plain,
! [X0,X1] :
( ordered_by(sk25,X0,X1)
| ordered_by(sk25,sk27,X1)
| X0 = X1
| ~ start_point(X0,sk26)
| sk27 = X1
| ~ start_point(X1,sk25) ),
inference(resolution,[],[f7323,f2321]) ).
fof(f8514,plain,
! [X0] :
( ordered_by(sk25,X0,sk27)
| ordered_by(sk25,sk28,sk27)
| sk27 = X0
| ~ start_point(X0,sk26) ),
inference(resolution,[],[f7323,f126]) ).
fof(f8516,plain,
! [X0] :
( ordered_by(sk25,X0,sk27)
| sk27 = X0
| ~ start_point(X0,sk26) ),
inference(forward_subsumption_resolution,[],[f8514,f156]) ).
fof(f8689,definition,
( spl2_230
<=> ! [X0] :
( sk27 = X0
| ~ start_point(X0,sk26) ) ),
introduced(definition,[new_symbols(definition,[spl2_230])],[avatar_definition]) ).
fof(f8690,plain,
( ! [X0] :
( ~ start_point(X0,sk26)
| sk27 = X0 )
| ~ spl2_230 ),
inference(avatar_component_clause,[],[f8689]) ).
fof(f8717,plain,
( sk27 = ax2_sk6(sk26)
| ~ spl2_230 ),
inference(resolution,[],[f8690,f102]) ).
fof(f8755,plain,
! [X0] :
( sk27 = X0
| ~ start_point(X0,sk26)
| ~ start_point(sk27,sk25)
| sk27 = X0 ),
inference(resolution,[],[f8516,f178]) ).
fof(f8764,plain,
! [X0] :
( sk27 = X0
| ~ start_point(X0,sk26)
| ~ start_point(sk27,sk25) ),
inference(duplicate_literal_removal,[],[f8755]) ).
fof(f9685,plain,
( sk27 = ax2_sk8(sk26,sk25)
| ~ start_point(sk27,sk26)
| ordered_by(sk26,sk28,sk27)
| ~ spl2_185 ),
inference(resolution,[],[f7122,f125]) ).
fof(f10857,plain,
( start_point(sk27,sk26)
| ~ spl2_230 ),
inference(superposition,[],[f102,f8717]) ).
fof(f10858,plain,
( $false
| spl2_53
| ~ spl2_230 ),
inference(forward_subsumption_resolution,[],[f10857,f2017]) ).
fof(f10859,plain,
( spl2_53
| ~ spl2_230 ),
inference(avatar_contradiction_clause,[],[f10858]) ).
fof(f10877,plain,
( $false
| spl2_39
| ~ spl2_53
| ~ spl2_215
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f7894,f2018]) ).
fof(f10878,plain,
( spl2_39
| ~ spl2_53
| ~ spl2_215
| ~ spl2_216 ),
inference(avatar_contradiction_clause,[],[f10877]) ).
fof(f10903,plain,
( ! [X0] :
( sk27 = X0
| ~ start_point(X0,sk26) )
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f8764,f7747]) ).
fof(f10930,plain,
( spl2_230
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f10903,f7746,f8689]) ).
fof(f10944,plain,
( ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk8(sk26,sk25))
| ~ spl2_40
| ~ spl2_68 ),
inference(forward_demodulation,[],[f2437,f1393]) ).
fof(f11032,plain,
( $false
| ~ spl2_40
| ~ spl2_68
| spl2_69 ),
inference(forward_subsumption_resolution,[],[f10944,f2458]) ).
fof(f11033,plain,
( ~ spl2_40
| ~ spl2_68
| spl2_69 ),
inference(avatar_contradiction_clause,[],[f11032]) ).
fof(f11243,plain,
( $false
| ~ spl2_68
| ~ spl2_69 ),
inference(forward_subsumption_resolution,[],[f2541,f2457]) ).
fof(f11244,plain,
( ~ spl2_68
| ~ spl2_69 ),
inference(avatar_contradiction_clause,[],[f11243]) ).
fof(f11362,plain,
( ! [X0] :
( ordered_by(sk25,ax2_sk8(sk26,sk25),ax2_sk9(sk26,sk25))
| ordered_by(sk25,ax2_sk8(sk26,sk25),X0)
| ax2_sk8(sk26,sk25) = X0
| ~ start_point(X0,sk26) )
| ~ spl2_68 ),
inference(resolution,[],[f2437,f6512]) ).
fof(f11377,definition,
( spl2_269
<=> ordered_by(sk25,ax2_sk8(sk26,sk25),ax2_sk9(sk26,sk25)) ),
introduced(definition,[new_symbols(definition,[spl2_269])],[avatar_definition]) ).
fof(f11378,plain,
( ~ ordered_by(sk25,ax2_sk8(sk26,sk25),ax2_sk9(sk26,sk25))
| spl2_269 ),
inference(avatar_component_clause,[],[f11377]) ).
fof(f11379,plain,
( ordered_by(sk25,ax2_sk8(sk26,sk25),ax2_sk9(sk26,sk25))
| ~ spl2_269 ),
inference(avatar_component_clause,[],[f11377]) ).
fof(f11380,plain,
( spl2_185
| spl2_269
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f11362,f2435,f11377,f7057]) ).
fof(f11386,plain,
( ~ start_point(sk27,sk26)
| ordered_by(sk26,sk28,sk27)
| ~ spl2_185
| spl2_201 ),
inference(forward_subsumption_resolution,[],[f9685,f7399]) ).
fof(f11387,plain,
( ordered_by(sk26,sk28,sk27)
| ~ spl2_53
| ~ spl2_185
| spl2_201 ),
inference(forward_subsumption_resolution,[],[f11386,f2018]) ).
fof(f11388,plain,
( $false
| ~ spl2_53
| ~ spl2_185
| spl2_201 ),
inference(forward_subsumption_resolution,[],[f11387,f155]) ).
fof(f11389,plain,
( ~ spl2_53
| ~ spl2_185
| spl2_201 ),
inference(avatar_contradiction_clause,[],[f11388]) ).
fof(f11568,plain,
( ~ ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk9(sk26,sk25))
| sk25 = sk26
| ~ spl2_269 ),
inference(resolution,[],[f11379,f111]) ).
fof(f11575,plain,
( ~ ordered_by(sk25,ax2_sk8(sk26,sk25),ax2_sk8(sk26,sk25))
| ~ spl2_269 ),
inference(resolution,[],[f11379,f522]) ).
fof(f11576,plain,
( sk25 = sk26
| ~ spl2_68
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f11568,f2437]) ).
fof(f11578,plain,
( $false
| ~ spl2_68
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f11576,f127]) ).
fof(f11579,plain,
( ~ spl2_68
| ~ spl2_269 ),
inference(avatar_contradiction_clause,[],[f11578]) ).
fof(f11608,plain,
! [X0,X1] :
( ordered_by(sk25,sk27,X1)
| X0 = X1
| ~ start_point(X0,sk26)
| sk27 = X1
| ~ start_point(X1,sk25) ),
inference(forward_subsumption_resolution,[],[f8438,f178]) ).
fof(f11623,plain,
! [X0,X1] :
( ~ start_point(X1,sk25)
| ~ start_point(X0,sk26)
| sk27 = X1
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f11608,f178]) ).
fof(f11777,plain,
( ax2_sk6(sk26) != ax2_sk6(sk25)
| ~ spl2_76
| spl2_216 ),
inference(superposition,[],[f7760,f2629]) ).
fof(f12337,plain,
! [X0] :
( ~ start_point(X0,sk26)
| sk27 = ax2_sk6(sk25)
| ax2_sk6(sk25) = X0 ),
inference(resolution,[],[f11623,f102]) ).
fof(f12338,plain,
( ! [X0] :
( ~ start_point(X0,sk26)
| ax2_sk6(sk25) = X0 )
| spl2_215 ),
inference(forward_subsumption_resolution,[],[f12337,f7756]) ).
fof(f12341,plain,
( ax2_sk6(sk26) = ax2_sk8(sk26,sk25)
| ~ spl2_199 ),
inference(resolution,[],[f7382,f102]) ).
fof(f12712,plain,
( ax2_sk6(sk26) = ax2_sk6(sk25)
| spl2_215 ),
inference(resolution,[],[f12338,f102]) ).
fof(f12716,plain,
( $false
| ~ spl2_76
| spl2_215
| spl2_216 ),
inference(forward_subsumption_resolution,[],[f12712,f11777]) ).
fof(f12717,plain,
( ~ spl2_76
| spl2_215
| spl2_216 ),
inference(avatar_contradiction_clause,[],[f12716]) ).
fof(f12718,plain,
( $false
| spl2_76
| ~ spl2_199 ),
inference(forward_subsumption_resolution,[],[f12341,f2628]) ).
fof(f12719,plain,
( spl2_76
| ~ spl2_199 ),
inference(avatar_contradiction_clause,[],[f12718]) ).
fof(f12785,plain,
( ! [X0,X1] :
( ~ start_point(X0,sk26)
| ax2_sk8(sk26,sk25) = X0
| ordered_by(sk26,ax2_sk8(sk26,sk25),X1)
| ordered_by(sk26,ax2_sk8(sk26,sk25),X0)
| ax2_sk8(sk26,sk25) = X1
| ~ start_point(X1,sk25) )
| ~ spl2_185 ),
inference(resolution,[],[f7058,f2292]) ).
fof(f12808,plain,
( ! [X0,X1] :
( ~ start_point(X0,sk26)
| ax2_sk8(sk26,sk25) = X0
| ordered_by(sk26,ax2_sk8(sk26,sk25),X1)
| ax2_sk8(sk26,sk25) = X1
| ~ start_point(X1,sk25) )
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f12785,f178]) ).
fof(f12810,plain,
( spl2_67
| spl2_199
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f12808,f7057,f7381,f2432]) ).
fof(f12869,plain,
( ordered_by(sk25,ax2_sk8(sk26,sk25),ax2_sk9(sk26,sk25))
| sk25 = sk26
| spl2_68 ),
inference(resolution,[],[f2436,f106]) ).
fof(f12880,plain,
( sk25 = sk26
| spl2_68
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f12869,f11378]) ).
fof(f12881,plain,
( $false
| spl2_68
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f12880,f127]) ).
fof(f12882,plain,
( spl2_68
| spl2_269 ),
inference(avatar_contradiction_clause,[],[f12881]) ).
fof(f12885,plain,
( ~ ordered_by(sk25,ax2_sk6(sk25),ax2_sk6(sk25))
| ~ spl2_216
| ~ spl2_269 ),
inference(forward_demodulation,[],[f11575,f7761]) ).
fof(f13056,plain,
( start_point(ax2_sk6(sk25),sk26)
| spl2_215 ),
inference(superposition,[],[f102,f12712]) ).
fof(f13065,plain,
( $false
| spl2_39
| spl2_215
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f13056,f7768]) ).
fof(f13066,plain,
( spl2_39
| spl2_215
| ~ spl2_216 ),
inference(avatar_contradiction_clause,[],[f13065]) ).
fof(f13073,plain,
( ax2_sk6(sk25) = ax2_sk9(sk26,sk25)
| ~ spl2_40
| ~ spl2_216 ),
inference(forward_demodulation,[],[f1393,f7761]) ).
fof(f13097,plain,
( ~ ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk6(sk25))
| ~ spl2_40
| spl2_68
| ~ spl2_216 ),
inference(superposition,[],[f2436,f13073]) ).
fof(f13169,plain,
( ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk6(sk25))
| ordered_by(sk25,ax2_sk8(sk26,sk25),ax2_sk6(sk25))
| sk25 = sk26
| ~ spl2_40
| ~ spl2_216 ),
inference(superposition,[],[f106,f13073]) ).
fof(f13207,plain,
( ~ ordered_by(sk26,ax2_sk6(sk25),ax2_sk6(sk25))
| ~ spl2_40
| spl2_68
| ~ spl2_216 ),
inference(forward_demodulation,[],[f13097,f7761]) ).
fof(f13508,plain,
( ordered_by(sk26,ax2_sk8(sk26,sk25),ax2_sk6(sk25))
| ordered_by(sk25,ax2_sk8(sk26,sk25),ax2_sk6(sk25))
| ~ spl2_40
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f13169,f127]) ).
fof(f13522,plain,
( ordered_by(sk26,ax2_sk6(sk25),ax2_sk6(sk25))
| ordered_by(sk25,ax2_sk8(sk26,sk25),ax2_sk6(sk25))
| ~ spl2_40
| ~ spl2_216 ),
inference(forward_demodulation,[],[f13508,f7761]) ).
fof(f13588,plain,
( ordered_by(sk25,ax2_sk8(sk26,sk25),ax2_sk6(sk25))
| ~ spl2_40
| spl2_68
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f13522,f13207]) ).
fof(f13604,plain,
( ordered_by(sk25,ax2_sk6(sk25),ax2_sk6(sk25))
| ~ spl2_40
| spl2_68
| ~ spl2_216 ),
inference(forward_demodulation,[],[f13588,f7761]) ).
fof(f13609,plain,
( $false
| ~ spl2_40
| spl2_68
| ~ spl2_216
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f13604,f12885]) ).
fof(f13610,plain,
( ~ spl2_40
| spl2_68
| ~ spl2_216
| ~ spl2_269 ),
inference(avatar_contradiction_clause,[],[f13609]) ).
cnf(s25,plain,
spl2_26,
inference(sat_conversion,[],[f756]) ).
cnf(s40,plain,
( ~ spl2_26
| ~ spl2_39
| spl2_40
| ~ spl2_41 ),
inference(sat_conversion,[],[f1398]) ).
cnf(s64,plain,
( spl2_67
| spl2_68 ),
inference(sat_conversion,[],[f2438]) ).
cnf(s226,plain,
( ~ spl2_67
| spl2_201
| ~ spl2_214 ),
inference(sat_conversion,[],[f7749]) ).
cnf(s227,plain,
( ~ spl2_67
| spl2_215
| spl2_216 ),
inference(sat_conversion,[],[f7762]) ).
cnf(s229,plain,
( spl2_41
| ~ spl2_216 ),
inference(sat_conversion,[],[f7879]) ).
cnf(s230,plain,
( ~ spl2_201
| ~ spl2_215
| spl2_216 ),
inference(sat_conversion,[],[f7885]) ).
cnf(s231,plain,
( spl2_214
| ~ spl2_215 ),
inference(sat_conversion,[],[f7891]) ).
cnf(s281,plain,
( spl2_53
| ~ spl2_230 ),
inference(sat_conversion,[],[f10859]) ).
cnf(s285,plain,
( spl2_39
| ~ spl2_53
| ~ spl2_215
| ~ spl2_216 ),
inference(sat_conversion,[],[f10878]) ).
cnf(s296,plain,
( ~ spl2_214
| spl2_230 ),
inference(sat_conversion,[],[f10930]) ).
cnf(s305,plain,
( ~ spl2_40
| ~ spl2_68
| spl2_69 ),
inference(sat_conversion,[],[f11033]) ).
cnf(s313,plain,
( ~ spl2_68
| ~ spl2_69 ),
inference(sat_conversion,[],[f11244]) ).
cnf(s335,plain,
( ~ spl2_68
| spl2_185
| spl2_269 ),
inference(sat_conversion,[],[f11380]) ).
cnf(s339,plain,
( ~ spl2_53
| ~ spl2_185
| spl2_201 ),
inference(sat_conversion,[],[f11389]) ).
cnf(s345,plain,
( ~ spl2_68
| ~ spl2_269 ),
inference(sat_conversion,[],[f11579]) ).
cnf(s388,plain,
( ~ spl2_76
| spl2_215
| spl2_216 ),
inference(sat_conversion,[],[f12717]) ).
cnf(s389,plain,
( spl2_76
| ~ spl2_199 ),
inference(sat_conversion,[],[f12719]) ).
cnf(s396,plain,
( spl2_67
| ~ spl2_185
| spl2_199 ),
inference(sat_conversion,[],[f12810]) ).
cnf(s402,plain,
( spl2_68
| spl2_269 ),
inference(sat_conversion,[],[f12882]) ).
cnf(s404,plain,
( spl2_39
| spl2_215
| ~ spl2_216 ),
inference(sat_conversion,[],[f13066]) ).
cnf(s456,plain,
( ~ spl2_40
| spl2_68
| ~ spl2_216
| ~ spl2_269 ),
inference(sat_conversion,[],[f13610]) ).
cnf(s476,plain,
( spl2_215
| spl2_216 ),
inference(rat,[],[s396,s335,s345,s389,s64,s388,s227]) ).
cnf(s477,plain,
spl2_216,
inference(rat,[],[s335,s345,s339,s64,s281,s226,s296,s230,s231,s476]) ).
cnf(s478,plain,
spl2_41,
inference(rat,[],[s229,s477]) ).
cnf(s479,plain,
spl2_39,
inference(rat,[],[s281,s296,s285,s231,s404,s477]) ).
cnf(s481,plain,
spl2_40,
inference(rat,[],[s40,s478,s25,s479]) ).
cnf(s495,plain,
~ spl2_68,
inference(rat,[],[s305,s313,s481]) ).
cnf(s498,plain,
spl2_269,
inference(rat,[],[s402,s495]) ).
cnf(s501,plain,
$false,
inference(rat,[],[s456,s481,s477,s498,s495]) ).
fof(f13611,plain,
$false,
inference(avatar_sat_refutation,[],[s501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO138-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 07:15:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 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
% 11.72/2.51 % (3200235)Input is clausal, will run a generic CNF schedule.
% 11.72/2.51 % (3200243)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3409150671:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.72/2.51 % (3200242)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1847593826:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.72/2.51 % (3200247)dis-21_1_sil=8000:lcm=predicate:random_seed=518651041: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)
% 11.72/2.51 % (3200241)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=3723556811:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.72/2.51 % (3200246)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3771688000:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.72/2.51 % (3200244)lrs+10_1_sil=8000:sp=occurrence:random_seed=2374216614:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.72/2.51 % (3200245)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3881153491:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.72/2.51 % (3200245)Refutation not found, incomplete strategy
% 11.72/2.51 % (3200245)------------------------------
% 11.72/2.51 % (3200245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.51 % (3200245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.51 % (3200245)CaDiCaL version: 2.1.3
% 11.72/2.51 % (3200245)Termination reason: Refutation not found, incomplete strategy
% 11.72/2.51 % (3200245)Time elapsed: 0.002 s
% 11.72/2.51 % (3200245)Peak memory usage: 88 MB
% 11.72/2.51 % (3200245)Instructions burned: 1 (million)
% 11.72/2.51 % (3200244)Refutation not found, incomplete strategy
% 11.72/2.51 % (3200244)------------------------------
% 11.72/2.51 % (3200244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.51 % (3200244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.51 % (3200244)CaDiCaL version: 2.1.3
% 11.72/2.51 % (3200244)Termination reason: Refutation not found, incomplete strategy
% 11.72/2.51 % (3200244)Time elapsed: 0.003 s
% 11.72/2.51 % (3200244)Peak memory usage: 88 MB
% 11.72/2.51 % (3200244)Instructions burned: 3 (million)
% 11.72/2.51 % (3200247)Instruction limit reached!
% 11.72/2.51 % (3200247)------------------------------
% 11.72/2.51 % (3200247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.51 % (3200247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.51 % (3200247)CaDiCaL version: 2.1.3
% 11.72/2.51 % (3200247)Termination reason: Instruction limit
% 11.72/2.51 % (3200247)Termination phase: Saturation
% 11.72/2.51 % (3200247)Time elapsed: 0.060 s
% 11.72/2.51 % (3200247)Peak memory usage: 88 MB
% 11.72/2.51 % (3200247)Instructions burned: 118 (million)
% 11.72/2.51 % (3200246)Instruction limit reached!
% 11.72/2.51 % (3200246)------------------------------
% 11.72/2.51 % (3200246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.51 % (3200246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.51 % (3200246)CaDiCaL version: 2.1.3
% 11.72/2.51 % (3200246)Termination reason: Instruction limit
% 11.72/2.51 % (3200246)Termination phase: Saturation
% 11.72/2.51 % (3200246)Time elapsed: 0.129 s
% 11.72/2.51 % (3200246)Peak memory usage: 89 MB
% 11.72/2.51 % (3200246)Instructions burned: 181 (million)
% 11.72/2.51 % (3200255)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=3713444441:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.72/2.51 % (3200255)Refutation not found, incomplete strategy
% 11.72/2.51 % (3200255)------------------------------
% 11.72/2.51 % (3200255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.51 % (3200255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.51 % (3200255)CaDiCaL version: 2.1.3
% 11.72/2.51 % (3200255)Termination reason: Refutation not found, incomplete strategy
% 11.72/2.51 % (3200255)Time elapsed: 0.002 s
% 11.72/2.51 % (3200255)Peak memory usage: 88 MB
% 11.72/2.51 % (3200255)Instructions burned: 1 (million)
% 11.72/2.51 % (3200245)------------------------------
% 14.50/3.00 % (3200245)------------------------------
% 14.50/3.00 % (3200244)------------------------------
% 14.50/3.00 % (3200244)------------------------------
% 14.50/3.00 % (3200256)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2647534152: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)
% 14.50/3.00 % (3200256)Refutation not found, incomplete strategy
% 14.50/3.00 % (3200256)------------------------------
% 14.50/3.00 % (3200256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200256)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200256)Termination reason: Refutation not found, incomplete strategy
% 14.50/3.00 % (3200256)Time elapsed: 0.006 s
% 14.50/3.00 % (3200256)Peak memory usage: 88 MB
% 14.50/3.00 % (3200256)Instructions burned: 9 (million)
% 14.50/3.00 % (3200260)lrs+10_64_to=lpo:sil=8000:random_seed=2995373947:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 14.50/3.00 % (3200259)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1708090803:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 14.50/3.00 % (3200255)------------------------------
% 14.50/3.00 % (3200255)------------------------------
% 14.50/3.00 % (3200260)Instruction limit reached!
% 14.50/3.00 % (3200260)------------------------------
% 14.50/3.00 % (3200260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200260)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200260)Termination reason: Instruction limit
% 14.50/3.00 % (3200260)Termination phase: Saturation
% 14.50/3.00 % (3200260)Time elapsed: 0.073 s
% 14.50/3.00 % (3200260)Peak memory usage: 89 MB
% 14.50/3.00 % (3200260)Instructions burned: 126 (million)
% 14.50/3.00 % (3200256)------------------------------
% 14.50/3.00 % (3200256)------------------------------
% 14.50/3.00 % (3200259)Instruction limit reached!
% 14.50/3.00 % (3200259)------------------------------
% 14.50/3.00 % (3200259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200259)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200259)Termination reason: Instruction limit
% 14.50/3.00 % (3200259)Termination phase: Saturation
% 14.50/3.00 % (3200259)Time elapsed: 0.123 s
% 14.50/3.00 % (3200259)Peak memory usage: 90 MB
% 14.50/3.00 % (3200259)Instructions burned: 219 (million)
% 14.50/3.00 % (3200263)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1557160584:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 14.50/3.00 % (3200264)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=504343587:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 14.50/3.00 % (3200265)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2351407738:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 14.50/3.00 % (3200266)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=1992138135:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 14.50/3.00 % (3200266)Refutation not found, incomplete strategy
% 14.50/3.00 % (3200266)------------------------------
% 14.50/3.00 % (3200266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200266)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200266)Termination reason: Refutation not found, incomplete strategy
% 14.50/3.00 % (3200266)Time elapsed: 0.002 s
% 14.50/3.00 % (3200266)Peak memory usage: 88 MB
% 14.50/3.00 % (3200266)Instructions burned: 1 (million)
% 14.50/3.00 % (3200263)Instruction limit reached!
% 14.50/3.00 % (3200263)------------------------------
% 14.50/3.00 % (3200263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200263)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200263)Termination reason: Instruction limit
% 14.50/3.00 % (3200263)Termination phase: Saturation
% 14.50/3.00 % (3200263)Time elapsed: 0.112 s
% 14.50/3.00 % (3200263)Peak memory usage: 89 MB
% 14.50/3.00 % (3200263)Instructions burned: 194 (million)
% 14.50/3.00 % (3200264)Instruction limit reached!
% 14.50/3.00 % (3200264)------------------------------
% 14.50/3.00 % (3200264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200264)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200264)Termination reason: Instruction limit
% 14.50/3.00 % (3200264)Termination phase: Saturation
% 14.50/3.00 % (3200264)Time elapsed: 0.105 s
% 14.50/3.00 % (3200264)Peak memory usage: 90 MB
% 14.50/3.00 % (3200264)Instructions burned: 158 (million)
% 14.50/3.00 % (3200271)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=373657124:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 14.50/3.00 % (3200272)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2039128334:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 14.50/3.00 % (3200271)Instruction limit reached!
% 14.50/3.00 % (3200271)------------------------------
% 14.50/3.00 % (3200271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200271)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200271)Termination reason: Instruction limit
% 14.50/3.00 % (3200271)Termination phase: Saturation
% 14.50/3.00 % (3200271)Time elapsed: 0.068 s
% 14.50/3.00 % (3200271)Peak memory usage: 89 MB
% 14.50/3.00 % (3200271)Instructions burned: 108 (million)
% 14.50/3.00 % (3200266)------------------------------
% 14.50/3.00 % (3200266)------------------------------
% 14.50/3.00 % (3200272)Instruction limit reached!
% 14.50/3.00 % (3200272)------------------------------
% 14.50/3.00 % (3200272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200272)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200272)Termination reason: Instruction limit
% 14.50/3.00 % (3200272)Termination phase: Saturation
% 14.50/3.00 % (3200272)Time elapsed: 0.145 s
% 14.50/3.00 % (3200272)Peak memory usage: 89 MB
% 14.50/3.00 % (3200272)Instructions burned: 244 (million)
% 14.50/3.00 % (3200275)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1197878317:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 14.50/3.00 % (3200276)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=530850992:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 14.50/3.00 % (3200276)Refutation not found, incomplete strategy
% 14.50/3.00 % (3200276)------------------------------
% 14.50/3.00 % (3200276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200276)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200276)Termination reason: Refutation not found, incomplete strategy
% 14.50/3.00 % (3200276)Time elapsed: 0.003 s
% 14.50/3.00 % (3200276)Peak memory usage: 88 MB
% 14.50/3.00 % (3200276)Instructions burned: 2 (million)
% 14.50/3.00 % (3200277)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1069542189:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 14.50/3.00 % (3200276)------------------------------
% 14.50/3.00 % (3200276)------------------------------
% 14.50/3.00 % (3200281)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3136854076:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 14.50/3.00 % (3200277)Instruction limit reached!
% 14.50/3.00 % (3200277)------------------------------
% 14.50/3.00 % (3200277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200277)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200277)Termination reason: Instruction limit
% 14.50/3.00 % (3200277)Termination phase: Saturation
% 14.50/3.00 % (3200277)Time elapsed: 0.284 s
% 14.50/3.00 % (3200277)Peak memory usage: 93 MB
% 14.50/3.00 % (3200277)Instructions burned: 499 (million)
% 14.50/3.00 % (3200281)Instruction limit reached!
% 14.50/3.00 % (3200281)------------------------------
% 14.50/3.00 % (3200281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200281)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200281)Termination reason: Instruction limit
% 14.50/3.00 % (3200281)Termination phase: Saturation
% 14.50/3.00 % (3200281)Time elapsed: 0.131 s
% 14.50/3.00 % (3200283)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3020247473:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 14.50/3.00 % (3200281)Peak memory usage: 91 MB
% 14.50/3.00 % (3200281)Instructions burned: 192 (million)
% 14.50/3.00 % (3200285)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2791609499:cond=on:i=156:bs=on:gtg=exists_all:er=known_2983 on theBenchmark for (2983ds/156Mi)
% 14.50/3.00 % (3200283)Instruction limit reached!
% 14.50/3.00 % (3200283)------------------------------
% 14.50/3.00 % (3200283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200283)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200283)Termination reason: Instruction limit
% 14.50/3.00 % (3200283)Termination phase: Saturation
% 14.50/3.00 % (3200283)Time elapsed: 0.150 s
% 14.50/3.00 % (3200283)Peak memory usage: 91 MB
% 14.50/3.00 % (3200283)Instructions burned: 265 (million)
% 14.50/3.00 % (3200241)First to succeed.
% 14.50/3.00 % (3200241)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3200235"
% 14.50/3.00 % (3200285)Instruction limit reached!
% 14.50/3.00 % (3200285)------------------------------
% 14.50/3.00 % (3200285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200285)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200285)Termination reason: Instruction limit
% 14.50/3.00 % (3200285)Termination phase: Saturation
% 14.50/3.00 % (3200285)Time elapsed: 0.100 s
% 14.50/3.00 % (3200285)Peak memory usage: 90 MB
% 14.50/3.00 % (3200285)Instructions burned: 157 (million)
% 14.50/3.00 % (3200287)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1662058590:i=3256:kws=precedence:bd=preordered:av=off_2981 on theBenchmark for (2981ds/3256Mi)
% 14.50/3.00 % (3200288)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=40896665:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 14.50/3.00 % (3200288)Refutation not found, incomplete strategy
% 14.50/3.00 % (3200288)------------------------------
% 14.50/3.00 % (3200288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.50/3.00 % (3200288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/3.00 % (3200288)CaDiCaL version: 2.1.3
% 14.50/3.00 % (3200288)Termination reason: Refutation not found, incomplete strategy
% 14.50/3.00 % (3200288)Time elapsed: 0.001 s
% 14.50/3.00 % (3200288)Peak memory usage: 88 MB
% 14.50/3.00 % (3200288)Instructions burned: 1 (million)
% 14.50/3.00 % (3200265)Also succeeded, but the first one will report.
% 14.50/3.00 % (3200241)Refutation found. Thanks to Tanya!
% 14.50/3.00 % SZS status Unsatisfiable for theBenchmark
% 14.50/3.00 % SZS output start Proof for theBenchmark
% See solution above
% 15.76/3.19 % (3200241)------------------------------
% 15.76/3.19 % (3200241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/3.19 % (3200241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/3.19 % (3200241)CaDiCaL version: 2.1.3
% 15.76/3.19 % (3200241)Termination reason: Refutation
% 15.76/3.19 % (3200241)Time elapsed: 1.706 s
% 15.76/3.19 % (3200241)Peak memory usage: 140 MB
% 15.76/3.19 % (3200241)Instructions burned: 2634 (million)
% 15.76/3.19 % (3200241)------------------------------
% 15.76/3.19 % (3200241)------------------------------
% 15.76/3.19 % (3200235)Success in time 2.15 s
% 15.76/3.19 % Vampire exiting
%------------------------------------------------------------------------------