%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO010-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.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 : Fri Sep 25 01:19:31 PM UTC 2026
% Result : Unsatisfiable 56.23s 12.29s
% Output : CNFRefutation 56.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 17
% Syntax : Number of formulae : 185 ( 45 unt; 0 def)
% Number of atoms : 465 ( 112 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 492 ( 212 ~; 280 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 228 ( 0 sgn 228 !; 0 ?; 187 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',identity_for_betweeness) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( between(X0,X1,X3)
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',transitivity_for_betweeness) ).
fof(f4,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',reflexivity_for_equidistance) ).
fof(f5,axiom,
! [X2,X0,X1] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( between(X0,outer_pasch(X1,X0,X3,X4,X2),X3)
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,X1,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).
fof(f13,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
fof(f14,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( between(X0,X2,X1)
| between(X1,X0,X2)
| between(X0,X1,X2)
| ~ colinear(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-1.ax',colinearity1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( colinear(X0,X1,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-1.ax',colinearity2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( colinear(X1,X0,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-1.ax',colinearity3) ).
fof(f24,axiom,
! [X2,X0,X1] :
( colinear(X0,X2,X1)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-1.ax',colinearity4) ).
fof(f25,axiom,
colinear(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abc_colinear) ).
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/sandbox/benchmark/theBenchmark.p',prove_colinear_in_all_orders) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ between(X0,X1,X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X3,X0,X1)
| ~ between(X3,X0,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] : equidistant(X0,X1,X1,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ equidistant(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between(X0,outer_pasch(X1,X0,X3,X4,X2),X3)
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between(X4,X1,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f14]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X1,X0,X2)
| between(X0,X2,X1)
| between(X0,X1,X2)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X0,X1,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X1,X0,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(X0,X2,X1)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_99,plain,
colinear(a,b,c),
inference(cnf_transformation,[],[f25]) ).
tcf(c_100,negated_conjecture,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_101,plain,
equidistant(a,a,a,a),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_106,plain,
( ( a = a )
| ~ equidistant(a,a,a,a) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_423,negated_conjecture,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_424,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( colinear(X0,X2,X4)
| ~ colinear(X1,X3,X5)
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( between(X0,X2,X4)
| ~ between(X1,X3,X5)
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_843,plain,
( between(b,a,c)
| between(a,c,b)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_99,c_95]) ).
tcf(c_862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : colinear(X0,extension(X0,X1,X2,X3),X1),
inference(superposition,[status(thm)],[c_87,c_98]) ).
tcf(c_872,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_88,c_79]) ).
tcf(c_874,plain,
! [X0: $i,X1: $i] : colinear(X0,X1,X1),
inference(superposition,[status(thm)],[c_872,c_862]) ).
tcf(c_876,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(superposition,[status(thm)],[c_872,c_87]) ).
tcf(c_896,plain,
( between(a,c,b)
| between(a,b,c)
| colinear(b,a,c) ),
inference(superposition,[status(thm)],[c_843,c_96]) ).
tcf(c_961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( outer_pasch(X1,X0,X0,X3,X2) = X0 )
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_81,c_75]) ).
tcf(c_1042,plain,
( colinear(a,c,b)
| ~ between(a,c,b) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_1052,plain,
( colinear(a,c,b)
| ~ between(a,b,c) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_1181,plain,
( between(c,a,b)
| between(a,c,b)
| between(a,b,c)
| ~ colinear(a,c,b) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_1224,plain,
( colinear(b,a,c)
| ~ between(a,b,c) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_1225,plain,
( colinear(b,a,c)
| ~ between(b,c,a) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_1226,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(b,a,c)
| ~ colinear(X1,X0,X2)
| ( c != X2 )
| ( b != X1 )
| ( a != X0 ) ),
inference(instantiation,[status(thm)],[c_427]) ).
tcf(c_1431,plain,
( between(b,a,c)
| between(a,c,b)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_99,c_95]) ).
tcf(c_1467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : colinear(X0,X1,extension(X1,X0,X2,X3)),
inference(superposition,[status(thm)],[c_87,c_97]) ).
tcf(c_1794,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_88,c_79]) ).
tcf(c_1798,plain,
! [X0: $i,X1: $i] : colinear(X0,X1,X0),
inference(superposition,[status(thm)],[c_1794,c_1467]) ).
tcf(c_1822,plain,
( colinear(b,c,a)
| ~ between(b,c,a) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_1824,plain,
( colinear(b,c,a)
| ~ between(b,a,c) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_1842,plain,
( between(a,c,b)
| between(a,b,c)
| colinear(b,a,c) ),
inference(superposition,[status(thm)],[c_1431,c_96]) ).
tcf(c_1849,plain,
! [X0: $i] :
( between(c,a,X0)
| between(a,c,X0)
| between(a,X0,c)
| ~ colinear(a,c,X0) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_1948,plain,
( between(a,c,b)
| colinear(b,a,c) ),
inference(global_subsumption_just,[status(thm)],[c_1842,c_896,c_1224]) ).
tcf(c_2061,plain,
! [X0: $i] :
( ( b = X0 )
| ~ between(b,X0,b) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_2062,plain,
( ( b = a )
| ~ between(b,a,b) ),
inference(instantiation,[status(thm)],[c_2061]) ).
tcf(c_2070,plain,
b = b,
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_2360,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( outer_pasch(X1,X0,X0,X2,X1) = X0 )
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_876,c_961]) ).
tcf(c_2487,plain,
( between(a,c,b)
| between(a,b,c)
| ( outer_pasch(a,b,b,c,a) = b ) ),
inference(superposition,[status(thm)],[c_843,c_2360]) ).
tcf(c_2488,plain,
! [X0: $i,X1: $i] : outer_pasch(X0,X1,X1,X0,X0) = X1,
inference(superposition,[status(thm)],[c_876,c_2360]) ).
tcf(c_2556,plain,
! [X0: $i,X1: $i] :
( between(X1,X1,X0)
| ~ between(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_2488,c_82]) ).
tcf(c_2558,plain,
! [X0: $i,X1: $i] : between(X0,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_2556,c_876]) ).
tcf(c_2573,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( outer_pasch(X0,X0,X0,X2,X1) = X0 )
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_2558,c_961]) ).
tcf(c_2848,plain,
( between(a,c,b)
| between(a,b,c)
| ( outer_pasch(b,b,b,c,a) = b ) ),
inference(superposition,[status(thm)],[c_843,c_2573]) ).
tcf(c_3532,plain,
( between(c,b,a)
| between(b,c,a)
| between(b,a,c)
| ~ colinear(b,c,a) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_3675,plain,
( between(b,c,a)
| between(b,a,c)
| between(a,b,c)
| ~ colinear(b,a,c) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_3830,plain,
( between(a,b,c)
| colinear(a,c,b)
| ( outer_pasch(a,b,b,c,a) = b ) ),
inference(superposition,[status(thm)],[c_2487,c_96]) ).
tcf(c_3876,plain,
! [X0: $i,X1: $i] :
( between(b,X0,b)
| ~ between(b,X0,X1)
| ~ between(X0,b,X1) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_3893,plain,
( between(a,b,c)
| colinear(a,c,b)
| ( outer_pasch(b,b,b,c,a) = b ) ),
inference(superposition,[status(thm)],[c_2848,c_96]) ).
tcf(c_4064,plain,
( ( outer_pasch(a,b,b,c,a) = b )
| colinear(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_3830,c_1042,c_1052,c_2487]) ).
tcf(c_4065,plain,
( colinear(a,c,b)
| ( outer_pasch(a,b,b,c,a) = b ) ),
inference(renaming,[status(thm)],[c_4064]) ).
tcf(c_4254,plain,
! [X0: $i] :
( ( c = X0 )
| ~ between(c,X0,c) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_4255,plain,
( ( c = a )
| ~ between(c,a,c) ),
inference(instantiation,[status(thm)],[c_4254]) ).
tcf(c_4263,plain,
c = c,
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_4417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X2,c,outer_pasch(c,X3,X0,X2,X1))
| ~ between(X3,c,X1)
| ~ between(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_10130,plain,
( colinear(c,b,a)
| ~ between(c,b,a) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_10131,plain,
( colinear(c,b,a)
| ~ between(b,c,a) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_10132,plain,
( colinear(c,b,a)
| ~ between(c,a,b) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_10133,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(c,b,a)
| ~ colinear(X2,X1,X0)
| ( c != X2 )
| ( b != X1 )
| ( a != X0 ) ),
inference(instantiation,[status(thm)],[c_427]) ).
tcf(c_12291,plain,
( between(b,a,b)
| ~ between(b,a,c)
| ~ between(a,b,c) ),
inference(instantiation,[status(thm)],[c_3876]) ).
tcf(c_13790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( outer_pasch(X1,X0,X0,X3,X2) = X0 )
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_81,c_75]) ).
tcf(c_13808,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_88,c_79]) ).
tcf(c_13811,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(superposition,[status(thm)],[c_13808,c_87]) ).
tcf(c_15243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( outer_pasch(X1,X0,X0,X2,X1) = X0 )
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_13811,c_13790]) ).
tcf(c_15388,plain,
! [X0: $i,X1: $i] : outer_pasch(X0,X1,X1,X0,X0) = X1,
inference(superposition,[status(thm)],[c_13811,c_15243]) ).
tcf(c_15428,plain,
! [X0: $i,X1: $i] :
( between(X1,X1,X0)
| ~ between(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_15388,c_82]) ).
tcf(c_15432,plain,
! [X0: $i,X1: $i] : between(X0,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_15428,c_13811]) ).
tcf(c_15438,plain,
! [X0: $i,X1: $i] : colinear(X0,X0,X1),
inference(superposition,[status(thm)],[c_15432,c_97]) ).
tcf(c_33721,plain,
! [X0: $i,X1: $i] :
( colinear(c,b,a)
| ~ colinear(X1,b,X0)
| ( c != X1 )
| ( b != b )
| ( a != X0 ) ),
inference(instantiation,[status(thm)],[c_10133]) ).
tcf(c_33722,plain,
( colinear(c,b,a)
| ~ colinear(a,b,a)
| ( c != a )
| ( b != b )
| ( a != a ) ),
inference(instantiation,[status(thm)],[c_33721]) ).
tcf(c_60253,plain,
( between(c,a,c)
| between(a,c,c)
| ~ colinear(a,c,c) ),
inference(instantiation,[status(thm)],[c_1849]) ).
tcf(c_74843,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(b,c,outer_pasch(c,X2,X0,b,X1))
| ~ between(X2,c,X1)
| ~ between(X0,X1,b) ),
inference(instantiation,[status(thm)],[c_4417]) ).
tcf(c_80955,plain,
! [X0: $i] :
( between(b,c,outer_pasch(c,X0,a,b,c))
| ~ between(a,c,b)
| ~ between(X0,c,c) ),
inference(instantiation,[status(thm)],[c_74843]) ).
tcf(c_80956,plain,
( between(b,c,outer_pasch(c,a,a,b,c))
| ~ between(a,c,c)
| ~ between(a,c,b) ),
inference(instantiation,[status(thm)],[c_80955]) ).
tcf(c_81308,plain,
! [X0: $i,X1: $i] :
( colinear(b,a,c)
| ~ colinear(b,X0,X1)
| ( c != X1 )
| ( b != b )
| ( a != X0 ) ),
inference(instantiation,[status(thm)],[c_1226]) ).
tcf(c_81309,plain,
( colinear(b,a,c)
| ~ colinear(b,a,a)
| ( c != a )
| ( b != b )
| ( a != a ) ),
inference(instantiation,[status(thm)],[c_81308]) ).
tcf(c_140078,plain,
! [X0: $i] :
( ( a = outer_pasch(c,X0,a,b,c) )
| ~ between(a,outer_pasch(c,X0,a,b,c),a) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_140079,plain,
( ( a = outer_pasch(c,a,a,b,c) )
| ~ between(a,outer_pasch(c,a,a,b,c),a) ),
inference(instantiation,[status(thm)],[c_140078]) ).
tcf(c_141631,plain,
! [X0: $i] :
( between(X0,outer_pasch(c,X0,a,b,c),a)
| ~ between(a,c,b)
| ~ between(X0,c,c) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_141632,plain,
( between(a,outer_pasch(c,a,a,b,c),a)
| ~ between(a,c,c)
| ~ between(a,c,b) ),
inference(instantiation,[status(thm)],[c_141631]) ).
tcf(c_179541,plain,
! [X0: $i,X1: $i,X2: $i] :
( colinear(c,b,a)
| ~ colinear(X2,X1,X0)
| ( c != X2 )
| ( b != X1 )
| ( a != X0 ) ),
inference(instantiation,[status(thm)],[c_427]) ).
tcf(c_179714,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(b,c,a)
| ~ between(X1,X2,X0)
| ( c != X2 )
| ( b != X1 )
| ( a != X0 ) ),
inference(instantiation,[status(thm)],[c_428]) ).
tcf(c_179750,plain,
! [X0: $i,X1: $i] :
( colinear(c,b,a)
| ~ colinear(c,X1,X0)
| ( c != c )
| ( b != X1 )
| ( a != X0 ) ),
inference(instantiation,[status(thm)],[c_179541]) ).
tcf(c_179752,plain,
( colinear(c,b,a)
| ~ colinear(c,a,a)
| ( c != c )
| ( b != a )
| ( a != a ) ),
inference(instantiation,[status(thm)],[c_179750]) ).
tcf(c_180785,plain,
! [X0: $i,X1: $i] :
( colinear(c,X0,X1)
| ~ between(X0,c,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_180788,plain,
! [X0: $i] : colinear(c,X0,X0),
inference(instantiation,[status(thm)],[c_874]) ).
tcf(c_180789,plain,
colinear(c,a,a),
inference(instantiation,[status(thm)],[c_180788]) ).
tcf(c_183192,plain,
! [X0: $i,X1: $i] :
( between(b,c,a)
| ~ between(b,X1,X0)
| ( c != X1 )
| ( b != b )
| ( a != X0 ) ),
inference(instantiation,[status(thm)],[c_179714]) ).
tcf(c_183633,plain,
! [X0: $i] : colinear(X0,c,c),
inference(instantiation,[status(thm)],[c_874]) ).
tcf(c_183634,plain,
colinear(a,c,c),
inference(instantiation,[status(thm)],[c_183633]) ).
tcf(c_189812,plain,
colinear(b,a,a),
inference(instantiation,[status(thm)],[c_874]) ).
tcf(c_191795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( outer_pasch(X1,X0,X0,X3,X2) = X0 )
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_81,c_75]) ).
tcf(c_191854,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_88,c_79]) ).
tcf(c_191857,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(superposition,[status(thm)],[c_191854,c_87]) ).
tcf(c_191917,plain,
( between(b,a,c)
| between(a,c,b)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_99,c_95]) ).
tcf(c_191925,plain,
! [X0: $i,X1: $i] :
( between(X0,X1,X0)
| between(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_15438,c_95]) ).
tcf(c_191949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( colinear(X4,outer_pasch(X1,X0,X3,X4,X2),X1)
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_82,c_98]) ).
tcf(c_191950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( colinear(X1,X4,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_82,c_97]) ).
tcf(c_191951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( colinear(X4,X1,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_82,c_96]) ).
tcf(c_191965,plain,
! [X0: $i,X1: $i] : between(X0,X0,X1),
inference(global_subsumption_just,[status(thm)],[c_191925,c_2558]) ).
tcf(c_192059,plain,
! [X0: $i] :
( between(a,c,b)
| between(a,b,c)
| between(X0,b,a)
| ~ between(X0,b,c) ),
inference(superposition,[status(thm)],[c_191917,c_76]) ).
tcf(c_193279,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( outer_pasch(X1,X0,X0,X2,X1) = X0 )
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_191857,c_191795]) ).
tcf(c_193280,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( outer_pasch(X0,X0,X0,X2,X1) = X0 )
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_191965,c_191795]) ).
tcf(c_193449,plain,
( between(a,c,b)
| between(a,b,c)
| ( outer_pasch(a,b,b,c,a) = b ) ),
inference(superposition,[status(thm)],[c_191917,c_193279]) ).
tcf(c_193677,plain,
( between(a,b,c)
| colinear(c,a,b)
| ( outer_pasch(a,b,b,c,a) = b ) ),
inference(superposition,[status(thm)],[c_193449,c_97]) ).
tcf(c_193678,plain,
( between(a,b,c)
| colinear(a,c,b)
| ( outer_pasch(a,b,b,c,a) = b ) ),
inference(superposition,[status(thm)],[c_193449,c_96]) ).
tcf(c_194004,plain,
( between(a,c,b)
| between(a,b,c)
| ( outer_pasch(b,b,b,c,a) = b ) ),
inference(superposition,[status(thm)],[c_191917,c_193280]) ).
tcf(c_195968,plain,
( between(a,b,c)
| colinear(c,a,b)
| ( outer_pasch(b,b,b,c,a) = b ) ),
inference(superposition,[status(thm)],[c_194004,c_97]) ).
tcf(c_195969,plain,
( between(a,b,c)
| colinear(a,c,b)
| ( outer_pasch(b,b,b,c,a) = b ) ),
inference(superposition,[status(thm)],[c_194004,c_96]) ).
tcf(c_197968,plain,
! [X0: $i] : colinear(X0,b,X0),
inference(instantiation,[status(thm)],[c_1798]) ).
tcf(c_197969,plain,
colinear(a,b,a),
inference(instantiation,[status(thm)],[c_197968]) ).
tcf(c_198236,plain,
( ( outer_pasch(a,b,b,c,a) = b )
| colinear(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_193678,c_4065]) ).
tcf(c_198237,plain,
( colinear(a,c,b)
| ( outer_pasch(a,b,b,c,a) = b ) ),
inference(renaming,[status(thm)],[c_198236]) ).
tcf(c_198242,plain,
( ( outer_pasch(a,b,b,c,a) = b )
| ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c) ),
inference(superposition,[status(thm)],[c_198237,c_423]) ).
tcf(c_198256,plain,
( ( outer_pasch(b,b,b,c,a) = b )
| colinear(a,c,b) ),
inference(global_subsumption_just,[status(thm)],[c_195969,c_1052,c_3893]) ).
tcf(c_198257,plain,
( colinear(a,c,b)
| ( outer_pasch(b,b,b,c,a) = b ) ),
inference(renaming,[status(thm)],[c_198256]) ).
tcf(c_198262,plain,
( ( outer_pasch(b,b,b,c,a) = b )
| ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c) ),
inference(superposition,[status(thm)],[c_198257,c_423]) ).
tcf(c_198891,plain,
! [X0: $i] :
( between(b,c,a)
| ~ between(b,c,outer_pasch(c,X0,a,b,c))
| ( c != c )
| ( b != b )
| ( a != outer_pasch(c,X0,a,b,c) ) ),
inference(instantiation,[status(thm)],[c_183192]) ).
tcf(c_198892,plain,
( between(b,c,a)
| ~ between(b,c,outer_pasch(c,a,a,b,c))
| ( c != c )
| ( b != b )
| ( a != outer_pasch(c,a,a,b,c) ) ),
inference(instantiation,[status(thm)],[c_198891]) ).
tcf(c_200379,plain,
( ( outer_pasch(a,b,b,c,a) = b )
| ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a) ),
inference(global_subsumption_just,[status(thm)],[c_198242,c_101,c_106,c_100,c_1181,c_1225,c_1948,c_2062,c_2070,c_3532,c_4065,c_4255,c_4263,c_10130,c_10131,c_10132,c_12291,c_33722,c_60253,c_80956,c_81309,c_140079,c_141632,c_179752,c_180789,c_183634,c_189812,c_197969,c_198892]) ).
tcf(c_200381,plain,
( ( outer_pasch(a,b,b,c,a) = b )
| ~ colinear(b,c,a)
| ~ colinear(c,a,b) ),
inference(global_subsumption_just,[status(thm)],[c_200379,c_101,c_106,c_100,c_1181,c_1225,c_1948,c_2062,c_2070,c_3532,c_4065,c_4255,c_4263,c_10130,c_10131,c_10132,c_12291,c_33722,c_60253,c_80956,c_81309,c_140079,c_141632,c_179752,c_180789,c_183634,c_189812,c_197969,c_198892]) ).
tcf(c_200382,plain,
( ( outer_pasch(a,b,b,c,a) = b )
| ~ colinear(c,a,b)
| ~ colinear(b,c,a) ),
inference(renaming,[status(thm)],[c_200381]) ).
tcf(c_200390,plain,
( between(a,b,c)
| ( outer_pasch(a,b,b,c,a) = b )
| ~ colinear(b,c,a) ),
inference(superposition,[status(thm)],[c_193677,c_200382]) ).
tcf(c_200398,plain,
( ( outer_pasch(b,b,b,c,a) = b )
| ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a) ),
inference(global_subsumption_just,[status(thm)],[c_198262,c_101,c_106,c_100,c_1052,c_1181,c_1225,c_1948,c_2062,c_2070,c_3532,c_3893,c_4255,c_4263,c_10130,c_10131,c_10132,c_12291,c_33722,c_60253,c_80956,c_81309,c_140079,c_141632,c_179752,c_180789,c_183634,c_189812,c_197969,c_198892]) ).
tcf(c_200400,plain,
( ( outer_pasch(b,b,b,c,a) = b )
| ~ colinear(b,c,a)
| ~ colinear(c,a,b) ),
inference(global_subsumption_just,[status(thm)],[c_200398,c_101,c_106,c_100,c_1052,c_1181,c_1225,c_1948,c_2062,c_2070,c_3532,c_3893,c_4255,c_4263,c_10130,c_10131,c_10132,c_12291,c_33722,c_60253,c_80956,c_81309,c_140079,c_141632,c_179752,c_180789,c_183634,c_189812,c_197969,c_198892]) ).
tcf(c_200401,plain,
( ( outer_pasch(b,b,b,c,a) = b )
| ~ colinear(c,a,b)
| ~ colinear(b,c,a) ),
inference(renaming,[status(thm)],[c_200400]) ).
tcf(c_200408,plain,
( between(a,b,c)
| ( outer_pasch(b,b,b,c,a) = b )
| ~ colinear(b,c,a) ),
inference(superposition,[status(thm)],[c_195968,c_200401]) ).
tcf(c_200413,plain,
( between(a,b,c)
| ( outer_pasch(a,b,b,c,a) = b ) ),
inference(global_subsumption_just,[status(thm)],[c_200390,c_101,c_106,c_1225,c_1822,c_1824,c_1948,c_2070,c_3675,c_4255,c_4263,c_60253,c_80956,c_81309,c_140079,c_141632,c_183634,c_189812,c_198892,c_200390]) ).
tcf(c_200420,plain,
( ( outer_pasch(b,a,a,c,b) = a )
| ( outer_pasch(a,b,b,c,a) = b ) ),
inference(superposition,[status(thm)],[c_200413,c_193279]) ).
tcf(c_200423,plain,
! [X0: $i] :
( between(X0,a,b)
| ( outer_pasch(a,b,b,c,a) = b )
| ~ between(X0,a,c) ),
inference(superposition,[status(thm)],[c_200413,c_76]) ).
tcf(c_200425,plain,
( colinear(b,a,c)
| ( outer_pasch(a,b,b,c,a) = b ) ),
inference(superposition,[status(thm)],[c_200413,c_97]) ).
tcf(c_200589,plain,
( between(a,b,c)
| ( outer_pasch(b,b,b,c,a) = b ) ),
inference(global_subsumption_just,[status(thm)],[c_200408,c_101,c_106,c_1225,c_1822,c_1824,c_1948,c_2070,c_3675,c_4255,c_4263,c_60253,c_80956,c_81309,c_140079,c_141632,c_183634,c_189812,c_198892,c_200408]) ).
tcf(c_200603,plain,
( between(a,c,b)
| between(a,b,c)
| between(a,b,a)
| ( outer_pasch(b,b,b,c,a) = b ) ),
inference(superposition,[status(thm)],[c_200589,c_192059]) ).
tcf(c_200767,plain,
colinear(b,a,c),
inference(global_subsumption_just,[status(thm)],[c_200425,c_101,c_106,c_1225,c_1948,c_2070,c_4255,c_4263,c_60253,c_80956,c_81309,c_140079,c_141632,c_183634,c_189812,c_198892]) ).
tcf(c_200769,plain,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(a,c,b) ),
inference(backward_subsumption_resolution,[status(thm)],[c_423,c_200767]) ).
tcf(c_200774,plain,
( between(b,c,a)
| between(b,a,c)
| between(a,b,c) ),
inference(superposition,[status(thm)],[c_200767,c_95]) ).
tcf(c_200790,plain,
( ~ colinear(a,c,b)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b) ),
inference(global_subsumption_just,[status(thm)],[c_200769,c_101,c_106,c_100,c_1181,c_2062,c_2070,c_3532,c_4255,c_4263,c_10130,c_10131,c_10132,c_12291,c_33722,c_60253,c_80956,c_140079,c_141632,c_179752,c_180789,c_183634,c_197969,c_198892,c_200767]) ).
tcf(c_200791,plain,
( ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(a,c,b) ),
inference(renaming,[status(thm)],[c_200790]) ).
tcf(c_200833,plain,
( between(b,a,c)
| between(a,b,c)
| colinear(c,b,a) ),
inference(superposition,[status(thm)],[c_200774,c_97]) ).
tcf(c_200834,plain,
( between(b,a,c)
| between(a,b,c)
| colinear(b,c,a) ),
inference(superposition,[status(thm)],[c_200774,c_96]) ).
tcf(c_201060,plain,
( colinear(b,c,a)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_200834,c_1824,c_200834]) ).
tcf(c_201061,plain,
( between(a,b,c)
| colinear(b,c,a) ),
inference(renaming,[status(thm)],[c_201060]) ).
tcf(c_201337,plain,
( colinear(c,a,b)
| ~ between(a,c,b) ),
inference(instantiation,[status(thm)],[c_180785]) ).
tcf(c_203610,plain,
( colinear(b,c,a)
| ( outer_pasch(a,b,b,c,a) = b )
| ~ between(a,b,c)
| ~ between(a,b,b) ),
inference(superposition,[status(thm)],[c_200420,c_191950]) ).
tcf(c_203611,plain,
( colinear(c,a,b)
| ( outer_pasch(a,b,b,c,a) = b )
| ~ between(a,b,c)
| ~ between(a,b,b) ),
inference(superposition,[status(thm)],[c_200420,c_191949]) ).
tcf(c_203623,plain,
( colinear(c,a,b)
| ( outer_pasch(a,b,b,c,a) = b )
| ~ between(a,b,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203611,c_191857]) ).
tcf(c_203627,plain,
( colinear(b,c,a)
| ( outer_pasch(a,b,b,c,a) = b )
| ~ between(a,b,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203610,c_191857]) ).
tcf(c_203954,plain,
outer_pasch(a,b,b,c,a) = b,
inference(global_subsumption_just,[status(thm)],[c_200423,c_101,c_106,c_100,c_1181,c_1225,c_1822,c_1824,c_1948,c_2062,c_2070,c_3532,c_3675,c_4065,c_4255,c_4263,c_10130,c_10131,c_10132,c_12291,c_33722,c_60253,c_80956,c_81309,c_140079,c_141632,c_179752,c_180789,c_183634,c_189812,c_197969,c_198892,c_200390,c_203627,c_203623]) ).
tcf(c_203958,plain,
( colinear(c,a,b)
| ~ between(b,a,c)
| ~ between(b,a,a) ),
inference(superposition,[status(thm)],[c_203954,c_191951]) ).
tcf(c_203959,plain,
( colinear(a,c,b)
| ~ between(b,a,c)
| ~ between(b,a,a) ),
inference(superposition,[status(thm)],[c_203954,c_191950]) ).
tcf(c_203974,plain,
( colinear(a,c,b)
| ~ between(b,a,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203959,c_191857]) ).
tcf(c_203977,plain,
( colinear(c,a,b)
| ~ between(b,a,c) ),
inference(forward_subsumption_resolution,[status(thm)],[c_203958,c_191857]) ).
tcf(c_204037,plain,
( between(a,c,b)
| between(a,b,c) ),
inference(global_subsumption_just,[status(thm)],[c_200603,c_101,c_106,c_100,c_843,c_1042,c_1181,c_1225,c_1948,c_2062,c_2070,c_3532,c_4255,c_4263,c_10130,c_10131,c_10132,c_12291,c_33722,c_60253,c_80956,c_81309,c_140079,c_141632,c_179752,c_180789,c_183634,c_189812,c_197969,c_198892,c_200769,c_200833,c_201061,c_201337,c_203977,c_203974]) ).
tcf(c_204039,plain,
between(a,b,c),
inference(global_subsumption_just,[status(thm)],[c_204037,c_101,c_106,c_100,c_1042,c_1181,c_1225,c_1948,c_2062,c_2070,c_3532,c_4255,c_4263,c_10130,c_10131,c_10132,c_12291,c_33722,c_60253,c_80956,c_81309,c_140079,c_141632,c_179752,c_180789,c_183634,c_189812,c_197969,c_198892,c_201061,c_201337,c_204037]) ).
tcf(c_204042,plain,
outer_pasch(b,a,a,c,b) = a,
inference(superposition,[status(thm)],[c_204039,c_193279]) ).
tcf(c_204046,plain,
colinear(a,c,b),
inference(superposition,[status(thm)],[c_204039,c_98]) ).
tcf(c_204057,plain,
( ~ colinear(c,a,b)
| ~ colinear(b,c,a) ),
inference(backward_subsumption_resolution,[status(thm)],[c_200791,c_204046]) ).
tcf(c_207660,plain,
( colinear(b,c,a)
| ~ between(a,b,c)
| ~ between(a,b,b) ),
inference(superposition,[status(thm)],[c_204042,c_191950]) ).
tcf(c_207661,plain,
( colinear(c,a,b)
| ~ between(a,b,c)
| ~ between(a,b,b) ),
inference(superposition,[status(thm)],[c_204042,c_191949]) ).
tcf(c_207670,plain,
colinear(c,a,b),
inference(forward_subsumption_resolution,[status(thm)],[c_207661,c_204039,c_191857]) ).
tcf(c_207671,plain,
colinear(b,c,a),
inference(forward_subsumption_resolution,[status(thm)],[c_207660,c_204039,c_191857]) ).
tcf(c_207676,plain,
~ colinear(b,c,a),
inference(backward_subsumption_resolution,[status(thm)],[c_204057,c_207670]) ).
tcf(c_207677,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_207676,c_207671]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO010-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n003.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 : Wed Sep 23 10:21:19 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.40
% 0.11/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.40
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 56.23/12.29 % SZS status Started for theBenchmark.p
% 56.23/12.29 % SZS status Unsatisfiable for theBenchmark.p
% 56.23/12.29
% 56.23/12.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 56.23/12.29
% 56.23/12.29 % ------ iProver source info
% 56.23/12.29
% 56.23/12.29 % git: date: 2026-07-19 20:42:38 +0200
% 56.23/12.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 56.23/12.29 % git: non_committed_changes: false
% 56.23/12.29
% 56.23/12.29 % ------ Parsing...% successful
% 56.23/12.29
% 56.23/12.29
% 56.23/12.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 56.23/12.29
% 56.23/12.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 56.23/12.29
% 56.23/12.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 56.23/12.29
% 56.23/12.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 56.23/12.29 % ------ Proving...
% 56.23/12.29 % ------ Problem Properties
% 56.23/12.29
% 56.23/12.29 %
% 56.23/12.29 % clauses 26
% 56.23/12.29 % conjectures 1
% 56.23/12.29 % EPR 17
% 56.23/12.29 % Horn 19
% 56.23/12.29 % unary 7
% 56.23/12.29 % binary 5
% 56.23/12.29 % lits 80
% 56.23/12.29 % lits eq 8
% 56.23/12.29 % fd_pure 0
% 56.23/12.29 % fd_pseudo 0
% 56.23/12.29 % fd_cond 0
% 56.23/12.29 % fd_pseudo_cond 8
% 56.23/12.29 % AC symbols 0
% 56.23/12.29
% 56.23/12.29 % ------ Schedule dynamic 5 is on
% 56.23/12.29
% 56.23/12.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 56.23/12.29
% 56.23/12.29
% 56.23/12.29 % ------
% 56.23/12.29 % Current options:
% 56.23/12.29 % ------
% 56.23/12.29
% 56.23/12.29
% 56.23/12.29 %
% 56.23/12.29
% 56.23/12.29 % ------ Proving...
% 56.23/12.29 % Proof_search_loop: time out after: 4048 full_loop iterations
% 56.23/12.29
% 56.23/12.29 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 56.23/12.29
% 56.23/12.29
% 56.23/12.29 % ------
% 56.23/12.29 % Current options:
% 56.23/12.29 % ------
% 56.23/12.29
% 56.23/12.29
% 56.23/12.29 %
% 56.23/12.29
% 56.23/12.29 % ------ Proving...
% 56.23/12.29 %
% 56.23/12.29
% 56.23/12.29 % SZS status Unsatisfiable for theBenchmark.p
% 56.23/12.29
% 56.23/12.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 56.23/12.29
% 56.23/12.29
%------------------------------------------------------------------------------