%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO010-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:23:44 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 32
% Syntax : Number of formulae : 144 ( 13 unt; 19 def)
% Number of atoms : 356 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 378 ( 166 ~; 193 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 20 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 109 ( 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( X = Y
| ~ between(X,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z,V] :
( between(X,V,Z)
| between(X,Z,V)
| X = Y
| ~ between(X,Y,V)
| ~ between(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( X = Y
| ~ equidistant(X,Y,Z,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,W,V,Y,Z] :
( between(X,outer_pasch(W,X,Y,Z,V),Y)
| ~ between(Y,V,Z)
| ~ between(X,W,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,W,V,Y,Z] :
( between(Z,W,outer_pasch(W,X,Y,Z,V))
| ~ between(Y,V,Z)
| ~ between(X,W,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,Z] :
( between(X,Z,Y)
| between(Y,X,Z)
| between(X,Y,Z)
| ~ colinear(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y,Z] :
( colinear(X,Y,Z)
| ~ between(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [Y,X,Z] :
( colinear(X,Y,Z)
| ~ between(Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X,Z,Y] :
( colinear(X,Y,Z)
| ~ between(X,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
colinear(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,plain,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
! [X,Z,V] :
( between(X,V,Z)
| between(X,Z,V)
| ! [Y] :
( X = Y
| ~ between(X,Y,V)
| ~ between(X,Y,Z) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( between(X0,X3,X2)
| between(X0,X2,X3)
| X0 = X1
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f33,plain,
! [X,Y] :
( X = Y
| ! [Z] : ~ equidistant(X,Y,Z,Z) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f34,plain,
! [X0,X1,X2] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4] :
( between(X0,outer_pasch(X1,X0,X3,X4,X2),X3)
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f38,plain,
! [X0,X1,X2,X3,X4] :
( between(X4,X1,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f44,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f45,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f53,plain,
! [X0,X1,X2] :
( between(X0,X2,X1)
| between(X1,X0,X2)
| between(X0,X1,X2)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f54,plain,
! [X0,X1,X2] :
( colinear(X0,X1,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f55,plain,
! [X0,X1,X2] :
( colinear(X1,X0,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f56,plain,
! [X0,X1,X2] :
( colinear(X0,X2,X1)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f57,plain,
colinear(a,b,c),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f58,plain,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f59,definition,
( sQ0_spl
<=> colinear(a,c,b) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( sQ0_spl
| ~ colinear(a,c,b) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,definition,
( sQ1_spl
<=> colinear(b,a,c) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f64,plain,
( sQ1_spl
| ~ colinear(b,a,c) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,definition,
( sQ2_spl
<=> colinear(b,c,a) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f67,plain,
( sQ2_spl
| ~ colinear(b,c,a) ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,definition,
( sQ3_spl
<=> colinear(c,a,b) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f69,plain,
( ~ sQ3_spl
| colinear(c,a,b) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f70,plain,
( sQ3_spl
| ~ colinear(c,a,b) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,definition,
( sQ4_spl
<=> colinear(c,b,a) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f73,plain,
( sQ4_spl
| ~ colinear(c,b,a) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f58,f59,f62,f65,f68,f71]) ).
fof(f75,plain,
( between(a,c,b)
| between(b,a,c)
| between(a,b,c) ),
inference(resolution,[status(thm)],[f53,f57]) ).
fof(f76,definition,
( sQ5_spl
<=> between(a,b,c) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( ~ sQ5_spl
| between(a,b,c) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,definition,
( sQ6_spl
<=> between(b,a,c) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f80,plain,
( ~ sQ6_spl
| between(b,a,c) ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,definition,
( sQ7_spl
<=> between(a,c,b) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ7_spl
| between(a,c,b) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f84,plain,
( sQ7_spl
| ~ between(a,c,b) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f75,f76,f79,f82]) ).
fof(f93,definition,
( sQ8_spl
<=> between(c,a,b) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ8_spl
| between(c,a,b) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,definition,
( sQ9_spl
<=> between(c,b,a) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( ~ sQ9_spl
| between(c,b,a) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f103,definition,
( sQ10_spl
<=> between(b,c,a) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ10_spl
| between(b,c,a) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f105,plain,
( sQ10_spl
| ~ between(b,c,a) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f114,plain,
! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
inference(resolution,[status(thm)],[f45,f34]) ).
fof(f118,plain,
! [X0,X1] : between(X0,X1,X1),
inference(paramodulation,[status(thm)],[f114,f44]) ).
fof(f144,definition,
( sQ15_spl
<=> a = c ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ15_spl
| a = c ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f156,plain,
( sQ2_spl
| ~ between(b,a,c) ),
inference(resolution,[status(thm)],[f67,f56]) ).
fof(f164,plain,
( ~ sQ5_spl
| colinear(b,a,c) ),
inference(resolution,[status(thm)],[f77,f55]) ).
fof(f167,plain,
( ~ sQ5_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f64]) ).
fof(f168,plain,
( ~ sQ5_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f167]) ).
fof(f171,plain,
( sQ0_spl
| ~ between(a,b,c) ),
inference(resolution,[status(thm)],[f61,f56]) ).
fof(f179,plain,
( ~ sQ3_spl
| between(c,b,a)
| between(a,c,b)
| between(c,a,b) ),
inference(resolution,[status(thm)],[f69,f53]) ).
fof(f180,plain,
( ~ sQ3_spl
| sQ9_spl
| sQ7_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f179,f93,f82,f96,f68]) ).
fof(f189,plain,
! [X0] :
( ~ sQ9_spl
| between(c,a,X0)
| between(c,X0,a)
| c = b
| ~ between(c,b,X0) ),
inference(resolution,[status(thm)],[f97,f31]) ).
fof(f193,definition,
! [X0] :
( sQ16_spl
<=> ( between(c,a,X0)
| between(c,X0,a)
| ~ between(c,b,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f196,definition,
( sQ17_spl
<=> c = b ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ17_spl
| c = b ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( ~ sQ9_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f189,f193,f196,f96]) ).
fof(f200,plain,
( sQ7_spl
| ~ sQ17_spl
| ~ between(a,c,c) ),
inference(backward_demodulation,[status(thm)],[f197,f84]) ).
fof(f204,plain,
( sQ7_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f200,f118]) ).
fof(f205,plain,
( sQ7_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f204]) ).
fof(f208,plain,
( ~ sQ8_spl
| colinear(a,c,b) ),
inference(resolution,[status(thm)],[f94,f55]) ).
fof(f225,plain,
( ~ sQ6_spl
| colinear(b,a,c) ),
inference(resolution,[status(thm)],[f80,f54]) ).
fof(f233,plain,
! [X0,X1,X2,X3] :
( X0 = outer_pasch(X1,X0,X0,X3,X2)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(resolution,[status(thm)],[f37,f27]) ).
fof(f238,plain,
! [X0,X1,X2,X3,X4] :
( colinear(X1,X4,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(resolution,[status(thm)],[f38,f55]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4] :
( colinear(X4,X1,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(resolution,[status(thm)],[f38,f54]) ).
fof(f246,plain,
( sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f171,f76,f59]) ).
fof(f247,plain,
( ~ sQ6_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f225,f62,f79]) ).
fof(f270,plain,
( sQ2_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f156,f80]) ).
fof(f271,plain,
( sQ2_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f270]) ).
fof(f306,definition,
( sQ21_spl
<=> between(a,c,a) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( ~ sQ21_spl
| between(a,c,a) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f357,plain,
( sQ3_spl
| ~ between(c,b,a) ),
inference(resolution,[status(thm)],[f70,f56]) ).
fof(f361,plain,
( ~ sQ9_spl
| colinear(c,b,a) ),
inference(resolution,[status(thm)],[f97,f54]) ).
fof(f397,plain,
( sQ3_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f357,f97]) ).
fof(f398,plain,
( sQ3_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f397]) ).
fof(f421,plain,
! [X0,X1,X2] :
( X0 = outer_pasch(X1,X0,X0,X2,X2)
| ~ between(X0,X1,X2) ),
inference(resolution,[status(thm)],[f233,f118]) ).
fof(f422,plain,
( ~ sQ10_spl
| b = outer_pasch(c,b,b,a,a) ),
inference(resolution,[status(thm)],[f421,f104]) ).
fof(f423,plain,
( ~ sQ5_spl
| a = outer_pasch(b,a,a,c,c) ),
inference(resolution,[status(thm)],[f421,f77]) ).
fof(f515,plain,
( ~ sQ10_spl
| colinear(a,c,b)
| ~ between(b,a,a)
| ~ between(b,c,a) ),
inference(paramodulation,[status(thm)],[f422,f239]) ).
fof(f516,plain,
( ~ sQ10_spl
| colinear(c,a,b)
| ~ between(b,a,a)
| ~ between(b,c,a) ),
inference(paramodulation,[status(thm)],[f422,f238]) ).
fof(f519,plain,
( ~ sQ10_spl
| between(a,c,b)
| ~ between(b,a,a)
| ~ between(b,c,a) ),
inference(paramodulation,[status(thm)],[f422,f38]) ).
fof(f521,definition,
( sQ25_spl
<=> between(b,a,a) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( sQ25_spl
| ~ between(b,a,a) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f535,plain,
( sQ0_spl
| ~ sQ25_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f515,f103,f521,f59]) ).
fof(f536,plain,
( sQ3_spl
| ~ sQ25_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f516,f103,f521,f68]) ).
fof(f542,plain,
( sQ7_spl
| ~ sQ25_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f519,f103,f521,f82]) ).
fof(f547,plain,
( sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f118]) ).
fof(f548,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f547]) ).
fof(f565,plain,
( sQ4_spl
| ~ between(c,a,b) ),
inference(resolution,[status(thm)],[f73,f56]) ).
fof(f567,plain,
( ~ sQ6_spl
| b = outer_pasch(a,b,b,c,c) ),
inference(resolution,[status(thm)],[f80,f421]) ).
fof(f608,plain,
( ~ sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f208,f59,f93]) ).
fof(f624,plain,
( ~ sQ7_spl
| a = outer_pasch(c,a,a,b,b) ),
inference(resolution,[status(thm)],[f83,f421]) ).
fof(f636,plain,
( ~ sQ6_spl
| colinear(c,a,b)
| ~ between(b,c,c)
| ~ between(b,a,c) ),
inference(paramodulation,[status(thm)],[f567,f239]) ).
fof(f637,plain,
( ~ sQ6_spl
| colinear(a,c,b)
| ~ between(b,c,c)
| ~ between(b,a,c) ),
inference(paramodulation,[status(thm)],[f567,f238]) ).
fof(f642,definition,
( sQ32_spl
<=> between(b,c,c) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( sQ32_spl
| ~ between(b,c,c) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f650,plain,
( sQ3_spl
| ~ sQ32_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f636,f79,f642,f68]) ).
fof(f651,plain,
( sQ0_spl
| ~ sQ32_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f637,f79,f642,f59]) ).
fof(f656,plain,
( sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f644,f118]) ).
fof(f657,plain,
sQ32_spl,
inference(contradiction_clause,[status(thm)],[f656]) ).
fof(f658,plain,
( ~ sQ9_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f361,f71,f96]) ).
fof(f727,plain,
( ~ sQ5_spl
| colinear(c,b,a)
| ~ between(a,c,c)
| ~ between(a,b,c) ),
inference(paramodulation,[status(thm)],[f423,f239]) ).
fof(f728,plain,
( ~ sQ5_spl
| colinear(b,c,a)
| ~ between(a,c,c)
| ~ between(a,b,c) ),
inference(paramodulation,[status(thm)],[f423,f238]) ).
fof(f731,plain,
( ~ sQ5_spl
| between(c,b,a)
| ~ between(a,c,c)
| ~ between(a,b,c) ),
inference(paramodulation,[status(thm)],[f423,f38]) ).
fof(f733,definition,
( sQ37_spl
<=> between(a,c,c) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( sQ37_spl
| ~ between(a,c,c) ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f755,plain,
( sQ4_spl
| ~ sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f727,f76,f733,f71]) ).
fof(f756,plain,
( sQ2_spl
| ~ sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f728,f76,f733,f65]) ).
fof(f762,plain,
( sQ9_spl
| ~ sQ37_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f731,f76,f733,f96]) ).
fof(f767,plain,
( sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f118]) ).
fof(f768,plain,
sQ37_spl,
inference(contradiction_clause,[status(thm)],[f767]) ).
fof(f771,plain,
( sQ10_spl
| ~ sQ15_spl
| ~ between(b,c,c) ),
inference(backward_demodulation,[status(thm)],[f145,f105]) ).
fof(f775,plain,
( sQ10_spl
| ~ sQ15_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f771,f642,f144,f103]) ).
fof(f780,plain,
( sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f565,f93,f71]) ).
fof(f815,plain,
( sQ1_spl
| ~ between(b,c,a) ),
inference(resolution,[status(thm)],[f64,f56]) ).
fof(f837,plain,
( ~ sQ21_spl
| a = c ),
inference(resolution,[status(thm)],[f307,f27]) ).
fof(f845,plain,
( ~ sQ21_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f837,f144,f306]) ).
fof(f855,plain,
( ~ sQ7_spl
| colinear(b,c,a)
| ~ between(a,b,b)
| ~ between(a,c,b) ),
inference(paramodulation,[status(thm)],[f624,f239]) ).
fof(f856,plain,
( ~ sQ7_spl
| colinear(c,b,a)
| ~ between(a,b,b)
| ~ between(a,c,b) ),
inference(paramodulation,[status(thm)],[f624,f238]) ).
fof(f859,plain,
( ~ sQ7_spl
| between(b,c,a)
| ~ between(a,b,b)
| ~ between(a,c,b) ),
inference(paramodulation,[status(thm)],[f624,f38]) ).
fof(f861,definition,
( sQ46_spl
<=> between(a,b,b) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( sQ46_spl
| ~ between(a,b,b) ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f877,plain,
( sQ2_spl
| ~ sQ46_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f855,f82,f861,f65]) ).
fof(f878,plain,
( sQ4_spl
| ~ sQ46_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f856,f82,f861,f71]) ).
fof(f881,plain,
( sQ10_spl
| ~ sQ46_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f859,f82,f861,f103]) ).
fof(f883,plain,
( sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f863,f118]) ).
fof(f884,plain,
sQ46_spl,
inference(contradiction_clause,[status(thm)],[f883]) ).
fof(f886,plain,
( sQ1_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f815,f103,f62]) ).
fof(f888,plain,
$false,
inference(sat_refutation,[status(thm)],[f74,f85,f168,f180,f199,f205,f246,f247,f271,f398,f535,f536,f542,f548,f608,f650,f651,f657,f658,f755,f756,f762,f768,f775,f780,f845,f877,f878,f881,f884,f886]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO010-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 08:16:43 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.45 % Elapsed time: 0.076480 seconds
% 0.14/0.45 % CPU time: 0.357547 seconds
% 0.14/0.45 % Total memory used: 81.469 MB
% 0.14/0.45 % Net memory used: 80.991 MB
%------------------------------------------------------------------------------