%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO082+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:19:15 PM UTC 2026
% Result : Theorem 1.40s 1.75s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 50 ( 10 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 46 ( 15 ~; 18 |; 7 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(part_of_antisymmetry,conjecture,
! [X2,X4] :
( ( part_of(X2,X4)
& part_of(X4,X2) )
=> X2 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(c9,axiom,
! [X1,X2] :
( ! [X3] :
( incident_c(X3,X1)
<=> incident_c(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c9) ).
fof(c_0_3,negated_conjecture,
~ ! [X2,X4] :
( ( part_of(X2,X4)
& part_of(X4,X2) )
=> X2 = X4 ),
inference(assume_negation,[status(cth)],[part_of_antisymmetry]) ).
fof(c_0_4,plain,
! [X63,X64,X65,X66,X67] :
( ( ~ part_of(X64,X63)
| ~ incident_c(X65,X64)
| incident_c(X65,X63) )
& ( incident_c(esk1_2(X66,X67),X67)
| part_of(X67,X66) )
& ( ~ incident_c(esk1_2(X66,X67),X66)
| part_of(X67,X66) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[part_of_defn])])])])])]) ).
fof(c_0_5,negated_conjecture,
( part_of(esk14_0,esk15_0)
& part_of(esk15_0,esk14_0)
& esk14_0 != esk15_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
part_of(esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X133,X134] :
( ( ~ incident_c(esk13_2(X133,X134),X133)
| ~ incident_c(esk13_2(X133,X134),X134)
| X133 = X134 )
& ( incident_c(esk13_2(X133,X134),X133)
| incident_c(esk13_2(X133,X134),X134)
| X133 = X134 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c9])])])]) ).
cnf(c_0_9,negated_conjecture,
( incident_c(X1,esk15_0)
| ~ incident_c(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( incident_c(esk13_2(X1,X2),X1)
| incident_c(esk13_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( esk14_0 = X1
| incident_c(esk13_2(esk14_0,X1),esk15_0)
| incident_c(esk13_2(esk14_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
esk14_0 != esk15_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( X1 = X2
| ~ incident_c(esk13_2(X1,X2),X1)
| ~ incident_c(esk13_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
incident_c(esk13_2(esk14_0,esk15_0),esk15_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_11]),c_0_12]) ).
cnf(c_0_15,negated_conjecture,
part_of(esk15_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
~ incident_c(esk13_2(esk14_0,esk15_0),esk14_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( incident_c(X1,esk14_0)
| ~ incident_c(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO082+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n020.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 17:40:04 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.40/1.75 % Version : CSE_E---1.7
% 1.40/1.75 % Problem : theBenchmark.p
% 1.40/1.75 % SZS status Theorem for theBenchmark.p
% 1.40/1.75 % SZS output start CNFRefutation
% See solution above
% 1.40/1.75 % Total time : 1.372s
%------------------------------------------------------------------------------