%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO258+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 : n022.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 04:20:10 PM UTC 2026
% Result : Theorem 1.29s 1.72s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 14 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 153 ( 56 ~; 70 |; 21 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 86 ( 5 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X2,X1,X4,X5] :
( between_on_line(X2,X1,X4,X5)
=> between_on_line(X2,X5,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(bf_def,axiom,
! [X2,X1,X4] :
( before_on_line(X2,X1,X4)
<=> ( distinct_points(X1,X4)
& ~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) )
& ~ ( left_apart_point(X4,X2)
| left_apart_point(X4,reverse_line(X2)) )
& ~ unequally_directed_lines(X2,line_connecting(X1,X4)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',bf_def) ).
fof(bet_def,axiom,
! [X2,X1,X4,X5] :
( between_on_line(X2,X1,X4,X5)
<=> ( ( before_on_line(X2,X1,X4)
& before_on_line(X2,X4,X5) )
| ( before_on_line(X2,X5,X4)
& before_on_line(X2,X4,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',bet_def) ).
fof(oag1,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag1) ).
fof(oag2,axiom,
! [X1,X4,X5] :
( distinct_points(X1,X4)
=> ( distinct_points(X1,X5)
| distinct_points(X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag2) ).
fof(oag10,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag10) ).
fof(c_0_6,negated_conjecture,
~ ! [X2,X1,X4,X5] :
( between_on_line(X2,X1,X4,X5)
=> between_on_line(X2,X5,X4,X1) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_7,plain,
! [X2,X1,X4] :
( before_on_line(X2,X1,X4)
<=> ( distinct_points(X1,X4)
& ~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) )
& ~ ( left_apart_point(X4,X2)
| left_apart_point(X4,reverse_line(X2)) )
& ~ unequally_directed_lines(X2,line_connecting(X1,X4)) ) ),
inference(fof_simplification,[status(thm)],[bf_def]) ).
fof(c_0_8,plain,
! [X92,X93,X94,X95] :
( ( before_on_line(X92,X95,X94)
| before_on_line(X92,X93,X94)
| ~ between_on_line(X92,X93,X94,X95) )
& ( before_on_line(X92,X94,X93)
| before_on_line(X92,X93,X94)
| ~ between_on_line(X92,X93,X94,X95) )
& ( before_on_line(X92,X95,X94)
| before_on_line(X92,X94,X95)
| ~ between_on_line(X92,X93,X94,X95) )
& ( before_on_line(X92,X94,X93)
| before_on_line(X92,X94,X95)
| ~ between_on_line(X92,X93,X94,X95) )
& ( ~ before_on_line(X92,X93,X94)
| ~ before_on_line(X92,X94,X95)
| between_on_line(X92,X93,X94,X95) )
& ( ~ before_on_line(X92,X95,X94)
| ~ before_on_line(X92,X94,X93)
| between_on_line(X92,X93,X94,X95) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[bet_def])])]) ).
fof(c_0_9,negated_conjecture,
( between_on_line(esk1_0,esk2_0,esk3_0,esk4_0)
& ~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_10,plain,
! [X89,X90,X91] :
( ( distinct_points(X90,X91)
| ~ before_on_line(X89,X90,X91) )
& ( ~ left_apart_point(X90,X89)
| ~ before_on_line(X89,X90,X91) )
& ( ~ left_apart_point(X90,reverse_line(X89))
| ~ before_on_line(X89,X90,X91) )
& ( ~ left_apart_point(X91,X89)
| ~ before_on_line(X89,X90,X91) )
& ( ~ left_apart_point(X91,reverse_line(X89))
| ~ before_on_line(X89,X90,X91) )
& ( ~ unequally_directed_lines(X89,line_connecting(X90,X91))
| ~ before_on_line(X89,X90,X91) )
& ( ~ distinct_points(X90,X91)
| left_apart_point(X90,X89)
| left_apart_point(X90,reverse_line(X89))
| left_apart_point(X91,X89)
| left_apart_point(X91,reverse_line(X89))
| unequally_directed_lines(X89,line_connecting(X90,X91))
| before_on_line(X89,X90,X91) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_11,plain,
( before_on_line(X1,X2,X3)
| before_on_line(X1,X3,X2)
| ~ between_on_line(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
between_on_line(esk1_0,esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X1] : ~ distinct_points(X1,X1),
inference(fof_simplification,[status(thm)],[oag1]) ).
fof(c_0_14,plain,
! [X97,X98,X99] :
( ~ distinct_points(X97,X98)
| distinct_points(X97,X99)
| distinct_points(X98,X99) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag2])]) ).
cnf(c_0_15,plain,
( distinct_points(X1,X2)
| ~ before_on_line(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( before_on_line(esk1_0,esk4_0,esk3_0)
| before_on_line(esk1_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_17,plain,
! [X115,X116] :
( ~ left_apart_point(X115,X116)
& ~ left_apart_point(X115,reverse_line(X116)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag10])]) ).
fof(c_0_18,plain,
! [X96] : ~ distinct_points(X96,X96),
inference(variable_rename,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( distinct_points(X1,X3)
| distinct_points(X2,X3)
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( distinct_points(esk4_0,esk3_0)
| before_on_line(esk1_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( left_apart_point(X1,X3)
| left_apart_point(X1,reverse_line(X3))
| left_apart_point(X2,X3)
| left_apart_point(X2,reverse_line(X3))
| unequally_directed_lines(X3,line_connecting(X1,X2))
| before_on_line(X3,X1,X2)
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( distinct_points(esk4_0,X1)
| distinct_points(esk3_0,X1)
| before_on_line(esk1_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( before_on_line(X1,X2,X3)
| before_on_line(X1,X3,X2)
| ~ between_on_line(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,plain,
( before_on_line(X1,X2,X3)
| unequally_directed_lines(X1,line_connecting(X2,X3))
| ~ distinct_points(X2,X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_21,c_0_22]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_27,negated_conjecture,
distinct_points(esk3_0,esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_15]) ).
cnf(c_0_28,plain,
( between_on_line(X1,X2,X3,X4)
| ~ before_on_line(X1,X2,X3)
| ~ before_on_line(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
( before_on_line(esk1_0,esk3_0,esk2_0)
| before_on_line(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_12]) ).
cnf(c_0_30,plain,
( before_on_line(X1,X2,X3)
| before_on_line(X1,X4,X3)
| ~ between_on_line(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,plain,
( between_on_line(X1,X4,X3,X2)
| ~ before_on_line(X1,X2,X3)
| ~ before_on_line(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,negated_conjecture,
( before_on_line(X1,esk3_0,esk4_0)
| unequally_directed_lines(X1,line_connecting(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( between_on_line(esk1_0,X1,esk3_0,esk2_0)
| before_on_line(esk1_0,esk2_0,esk3_0)
| ~ before_on_line(esk1_0,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( before_on_line(esk1_0,esk4_0,esk3_0)
| before_on_line(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_12]) ).
cnf(c_0_35,negated_conjecture,
~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_36,negated_conjecture,
( between_on_line(X1,esk4_0,esk3_0,X2)
| unequally_directed_lines(X1,line_connecting(esk3_0,esk4_0))
| ~ before_on_line(X1,X2,esk3_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
before_on_line(esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_38,plain,
( before_on_line(X1,X2,X3)
| before_on_line(X1,X2,X4)
| ~ between_on_line(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,plain,
( ~ unequally_directed_lines(X1,line_connecting(X2,X3))
| ~ before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_40,negated_conjecture,
unequally_directed_lines(esk1_0,line_connecting(esk3_0,esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( before_on_line(esk1_0,esk3_0,esk2_0)
| before_on_line(esk1_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_12]) ).
cnf(c_0_42,negated_conjecture,
~ before_on_line(esk1_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
before_on_line(esk1_0,esk3_0,esk2_0),
inference(sr,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_44,negated_conjecture,
( between_on_line(esk1_0,X1,esk3_0,esk2_0)
| ~ before_on_line(esk1_0,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_43]) ).
cnf(c_0_45,negated_conjecture,
before_on_line(esk1_0,esk4_0,esk3_0),
inference(sr,[status(thm)],[c_0_16,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO258+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
% 0.15/0.33 % Computer : n022.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 17:50:36 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.29/1.72 % Version : CSE_E---1.7
% 1.29/1.72 % Problem : theBenchmark.p
% 1.29/1.72 % SZS status Theorem for theBenchmark.p
% 1.29/1.72 % SZS output start CNFRefutation
% See solution above
% 1.29/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------