%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO227+3 : TPTP v9.2.1. Released v4.0.0.
% 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 : n015.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 04:20:02 PM UTC 2026
% Result : Theorem 1.27s 1.73s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 21 ~; 12 |; 6 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 32 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a5_defns,axiom,
! [X1,X2] :
( equally_directed_opposite_lines(X1,X2)
<=> ~ unequally_directed_opposite_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a5_defns) ).
fof(con,conjecture,
! [X4,X5] :
~ ( equally_directed_lines(X4,X5)
& equally_directed_opposite_lines(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(a4_defns,axiom,
! [X1,X2] :
( equally_directed_lines(X1,X2)
<=> ~ unequally_directed_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
fof(a1_defns,axiom,
! [X1,X2] :
( unequally_directed_opposite_lines(X1,X2)
<=> unequally_directed_lines(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
fof(ax8_basics,axiom,
! [X4,X5] :
( unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,reverse_line(X5)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
fof(c_0_5,plain,
! [X1,X2] :
( equally_directed_opposite_lines(X1,X2)
<=> ~ unequally_directed_opposite_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[a5_defns]) ).
fof(c_0_6,negated_conjecture,
~ ! [X4,X5] :
~ ( equally_directed_lines(X4,X5)
& equally_directed_opposite_lines(X4,X5) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_7,plain,
! [X100,X101] :
( ( ~ equally_directed_opposite_lines(X100,X101)
| ~ unequally_directed_opposite_lines(X100,X101) )
& ( unequally_directed_opposite_lines(X100,X101)
| equally_directed_opposite_lines(X100,X101) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
fof(c_0_8,negated_conjecture,
( equally_directed_lines(esk1_0,esk2_0)
& equally_directed_opposite_lines(esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_9,plain,
! [X1,X2] :
( equally_directed_lines(X1,X2)
<=> ~ unequally_directed_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[a4_defns]) ).
cnf(c_0_10,plain,
( ~ equally_directed_opposite_lines(X1,X2)
| ~ unequally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
equally_directed_opposite_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X92,X93] :
( ( ~ unequally_directed_opposite_lines(X92,X93)
| unequally_directed_lines(X92,reverse_line(X93)) )
& ( ~ unequally_directed_lines(X92,reverse_line(X93))
| unequally_directed_opposite_lines(X92,X93) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_defns])]) ).
fof(c_0_13,plain,
! [X98,X99] :
( ( ~ equally_directed_lines(X98,X99)
| ~ unequally_directed_lines(X98,X99) )
& ( unequally_directed_lines(X98,X99)
| equally_directed_lines(X98,X99) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
cnf(c_0_14,negated_conjecture,
~ unequally_directed_opposite_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( unequally_directed_opposite_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X131,X132] :
( unequally_directed_lines(X131,X132)
| unequally_directed_lines(X131,reverse_line(X132)) ),
inference(variable_rename,[status(thm)],[ax8_basics]) ).
cnf(c_0_17,plain,
( ~ equally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
equally_directed_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,negated_conjecture,
~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO227+3 : TPTP v9.2.1. Released v4.0.0.
% 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
% 0.16/0.33 % Computer : n015.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 17:49:32 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.27/1.73 % Version : CSE_E---1.7
% 1.27/1.73 % Problem : theBenchmark.p
% 1.27/1.73 % SZS status Theorem for theBenchmark.p
% 1.27/1.73 % SZS output start CNFRefutation
% See solution above
% 1.27/1.73 % Total time : 1.370s
%------------------------------------------------------------------------------