%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO231+1 : TPTP v9.2.1. Bugfixed v6.4.0.
% 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 : n008.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 1.28s 1.73s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 29 ~; 25 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 44 ( 2 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X2,X3,X6] :
( ( ~ unequally_directed_lines(X2,reverse_line(X3))
& ~ unequally_directed_lines(X2,X6) )
=> ~ unequally_directed_lines(X3,reverse_line(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(oag9,axiom,
! [X2,X3] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).
fof(oag11,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(oag6,axiom,
! [X2,X3,X6] :
( unequally_directed_lines(X2,X3)
=> ( unequally_directed_lines(X2,X6)
| unequally_directed_lines(X3,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag6) ).
fof(oag5,axiom,
! [X2] : ~ unequally_directed_lines(X2,X2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
fof(c_0_5,negated_conjecture,
~ ! [X2,X3,X6] :
( ( ~ unequally_directed_lines(X2,reverse_line(X3))
& ~ unequally_directed_lines(X2,X6) )
=> ~ unequally_directed_lines(X3,reverse_line(X6)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).
fof(c_0_6,plain,
! [X112,X113] :
( ~ unequally_directed_lines(X112,X113)
| ~ unequally_directed_lines(X112,reverse_line(X113))
| left_convergent_lines(X112,X113)
| left_convergent_lines(X112,reverse_line(X113)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag9])]) ).
fof(c_0_7,plain,
! [X116,X117] :
( ~ left_convergent_lines(X116,X117)
& ~ left_convergent_lines(X116,reverse_line(X117)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])]) ).
fof(c_0_8,plain,
! [X104,X105,X106] :
( ~ unequally_directed_lines(X104,X105)
| unequally_directed_lines(X104,X106)
| unequally_directed_lines(X105,X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag6])]) ).
fof(c_0_9,negated_conjecture,
( ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0))
& ~ unequally_directed_lines(esk1_0,esk3_0)
& unequally_directed_lines(esk2_0,reverse_line(esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_10,plain,
( left_convergent_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
unequally_directed_lines(esk2_0,reverse_line(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( unequally_directed_lines(reverse_line(esk3_0),X1)
| unequally_directed_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( unequally_directed_lines(esk2_0,reverse_line(X1))
| ~ unequally_directed_lines(reverse_line(esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_17,plain,
! [X2] : ~ unequally_directed_lines(X2,X2),
inference(fof_simplification,[status(thm)],[oag5]) ).
cnf(c_0_18,negated_conjecture,
( unequally_directed_lines(esk2_0,reverse_line(X1))
| unequally_directed_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
fof(c_0_19,plain,
! [X103] : ~ unequally_directed_lines(X103,X103),
inference(variable_rename,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_21,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(esk2_0,X3)
| unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(X3,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(esk2_0,X2)
| unequally_directed_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
unequally_directed_lines(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21]) ).
cnf(c_0_26,negated_conjecture,
~ unequally_directed_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_27,negated_conjecture,
( unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO231+1 : TPTP v9.2.1. Bugfixed v6.4.0.
% 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
% 0.16/0.33 % Computer : n008.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 17:49:58 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.28/1.73 % Version : CSE_E---1.7
% 1.28/1.73 % Problem : theBenchmark.p
% 1.28/1.73 % SZS status Theorem for theBenchmark.p
% 1.28/1.73 % SZS output start CNFRefutation
% See solution above
% 1.28/1.73 % Total time : 1.372s
%------------------------------------------------------------------------------