%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO255+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 : n010.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 04:20:09 PM UTC 2026
% Result : Theorem 1.32s 1.73s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 19 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 136 ( 53 ~; 54 |; 22 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 2 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X2,X1,X4] :
( ( line(X2)
& distinct_points(X1,X4) )
=> ~ ( before_on_line(X2,X1,X4)
& before_on_line(X2,X4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(oag8,axiom,
! [X2,X3] :
( ( line(X2)
& line(X3) )
=> ( unequally_directed_lines(X2,X3)
| unequally_directed_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag8) ).
fof(oag5,axiom,
! [X2] : ~ unequally_directed_lines(X2,X2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
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(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(oagco9,axiom,
! [X1,X4] : ~ unequally_directed_lines(line_connecting(X1,X4),reverse_line(line_connecting(X4,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oagco9) ).
fof(c_0_8,negated_conjecture,
~ ! [X2,X1,X4] :
( ( line(X2)
& distinct_points(X1,X4) )
=> ~ ( before_on_line(X2,X1,X4)
& before_on_line(X2,X4,X1) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_9,plain,
! [X110,X111] :
( ~ line(X110)
| ~ line(X111)
| unequally_directed_lines(X110,X111)
| unequally_directed_lines(X110,reverse_line(X111)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag8])]) ).
fof(c_0_10,negated_conjecture,
( line(esk1_0)
& distinct_points(esk2_0,esk3_0)
& before_on_line(esk1_0,esk2_0,esk3_0)
& before_on_line(esk1_0,esk3_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_11,plain,
! [X2] : ~ unequally_directed_lines(X2,X2),
inference(fof_simplification,[status(thm)],[oag5]) ).
cnf(c_0_12,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2))
| ~ line(X1)
| ~ line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
line(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
! [X103] : ~ unequally_directed_lines(X103,X103),
inference(variable_rename,[status(thm)],[c_0_11]) ).
fof(c_0_15,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_16,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_17,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])]) ).
cnf(c_0_18,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(esk1_0))
| unequally_directed_lines(X1,esk1_0)
| ~ line(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,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_15]) ).
cnf(c_0_21,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_19]) ).
cnf(c_0_24,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_20,c_0_21]),c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_26,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]) ).
cnf(c_0_27,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(X1))
| ~ unequally_directed_lines(reverse_line(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_28,plain,
! [X88,X89,X90] :
( ( distinct_points(X89,X90)
| ~ before_on_line(X88,X89,X90) )
& ( ~ left_apart_point(X89,X88)
| ~ before_on_line(X88,X89,X90) )
& ( ~ left_apart_point(X89,reverse_line(X88))
| ~ before_on_line(X88,X89,X90) )
& ( ~ left_apart_point(X90,X88)
| ~ before_on_line(X88,X89,X90) )
& ( ~ left_apart_point(X90,reverse_line(X88))
| ~ before_on_line(X88,X89,X90) )
& ( ~ unequally_directed_lines(X88,line_connecting(X89,X90))
| ~ before_on_line(X88,X89,X90) )
& ( ~ distinct_points(X89,X90)
| left_apart_point(X89,X88)
| left_apart_point(X89,reverse_line(X88))
| left_apart_point(X90,X88)
| left_apart_point(X90,reverse_line(X88))
| unequally_directed_lines(X88,line_connecting(X89,X90))
| before_on_line(X88,X89,X90) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
cnf(c_0_29,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(X1))
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_25]) ).
cnf(c_0_30,plain,
( ~ unequally_directed_lines(X1,line_connecting(X2,X3))
| ~ before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),X1)
| unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(X2,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_25]) ).
cnf(c_0_32,negated_conjecture,
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),line_connecting(X1,X2))
| unequally_directed_lines(esk1_0,X3)
| ~ before_on_line(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
before_on_line(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_35,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(X1))
| unequally_directed_lines(esk1_0,X2)
| ~ unequally_directed_lines(reverse_line(X2),X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
unequally_directed_lines(reverse_line(esk1_0),line_connecting(esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_19]) ).
fof(c_0_37,plain,
! [X1,X4] : ~ unequally_directed_lines(line_connecting(X1,X4),reverse_line(line_connecting(X4,X1))),
inference(fof_simplification,[status(thm)],[oagco9]) ).
cnf(c_0_38,negated_conjecture,
before_on_line(esk1_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_39,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),reverse_line(X1))
| unequally_directed_lines(esk1_0,X2)
| ~ unequally_directed_lines(X2,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(line_connecting(esk2_0,esk3_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_19]) ).
fof(c_0_41,plain,
! [X132,X133] : ~ unequally_directed_lines(line_connecting(X132,X133),reverse_line(line_connecting(X133,X132))),
inference(variable_rename,[status(thm)],[c_0_37]) ).
cnf(c_0_42,negated_conjecture,
unequally_directed_lines(reverse_line(esk1_0),line_connecting(esk3_0,esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_38]),c_0_19]) ).
cnf(c_0_43,negated_conjecture,
unequally_directed_lines(reverse_line(esk1_0),reverse_line(reverse_line(line_connecting(esk2_0,esk3_0)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_19]) ).
cnf(c_0_44,plain,
~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( unequally_directed_lines(line_connecting(esk3_0,esk2_0),X1)
| unequally_directed_lines(reverse_line(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
~ unequally_directed_lines(reverse_line(esk1_0),reverse_line(line_connecting(esk2_0,esk3_0))),
inference(spm,[status(thm)],[c_0_24,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO255+1 : TPTP v9.2.1. Bugfixed v6.4.0.
% 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
% 0.15/0.32 % Computer : n010.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 17:50:21 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.32/1.73 % Version : CSE_E---1.7
% 1.32/1.73 % Problem : theBenchmark.p
% 1.32/1.73 % SZS status Theorem for theBenchmark.p
% 1.32/1.73 % SZS output start CNFRefutation
% See solution above
% 1.32/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------