%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO247+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 : n027.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 04:20:07 PM UTC 2026
% Result : Theorem 0.26s 1.62s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 32 ( 6 ~; 1 |; 23 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 18 ( 2 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X3,X6,X7,X9,X4,X5] :
( ( left_apart_point(X3,X4)
& left_apart_point(X3,X5)
& right_apart_point(X6,X4)
& right_apart_point(X6,X5)
& left_apart_point(X7,X4)
& right_apart_point(X7,X5)
& right_apart_point(X9,X4)
& left_apart_point(X9,X5) )
=> convergent_lines(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(ax10_basics,axiom,
! [X3,X4] :
~ ( left_apart_point(X3,X4)
| left_apart_point(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax10_basics) ).
fof(c_0_2,negated_conjecture,
~ ! [X3,X6,X7,X9,X4,X5] :
( ( left_apart_point(X3,X4)
& left_apart_point(X3,X5)
& right_apart_point(X6,X4)
& right_apart_point(X6,X5)
& left_apart_point(X7,X4)
& right_apart_point(X7,X5)
& right_apart_point(X9,X4)
& left_apart_point(X9,X5) )
=> convergent_lines(X4,X5) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_3,negated_conjecture,
( left_apart_point(esk1_0,esk5_0)
& left_apart_point(esk1_0,esk6_0)
& right_apart_point(esk2_0,esk5_0)
& right_apart_point(esk2_0,esk6_0)
& left_apart_point(esk3_0,esk5_0)
& right_apart_point(esk3_0,esk6_0)
& right_apart_point(esk4_0,esk5_0)
& left_apart_point(esk4_0,esk6_0)
& ~ convergent_lines(esk5_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_4,plain,
! [X140,X141] :
( ~ left_apart_point(X140,X141)
& ~ left_apart_point(X140,reverse_line(X141)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10_basics])]) ).
cnf(c_0_5,negated_conjecture,
left_apart_point(esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_5,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO247+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % 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
% 0.16/0.32 % Computer : n027.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Mon May 4 17:51:20 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 0.26/1.62 % Version : CSE_E---1.7
% 0.26/1.62 % Problem : theBenchmark.p
% 0.26/1.62 % SZS status Theorem for theBenchmark.p
% 0.26/1.62 % SZS output start CNFRefutation
% See solution above
% 0.26/1.62 % Total time : 1.285s
%------------------------------------------------------------------------------