%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO354+1 : TPTP v9.2.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/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 04:20:21 PM UTC 2026
% Result : Satisfiable 1.25s 1.71s
% Output : Saturation 1.25s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(cld5,axiom,
! [X2,X3,X6] :
( ~ unequally_directed_lines(X2,reverse_line(X3))
& ( ~ unequally_directed_lines(X2,reverse_line(X6))
=> ~ unequally_directed_lines(X3,X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+1.ax',cld5) ).
fof(oag8,axiom,
! [X2,X3] :
( ( line(X2)
& line(X3) )
=> ( unequally_directed_lines(X2,X3)
| unequally_directed_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag8) ).
fof(oagco3,axiom,
! [X2,X1] :
( ( point(X1)
& line(X2) )
=> line(parallel_through_point(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco3) ).
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/sandbox2/benchmark/Axioms/GEO007+0.ax',bf_def) ).
fof(oagco1,axiom,
! [X1,X4] :
( ( point(X1)
& point(X4)
& distinct_points(X1,X4) )
=> line(line_connecting(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco1) ).
fof(oag10,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag10) ).
fof(oaguc1,axiom,
! [X1,X4,X2,X3] :
( ( distinct_points(X1,X4)
& distinct_lines(X2,X3) )
=> ( left_apart_point(X1,X2)
| left_apart_point(X4,X2)
| left_apart_point(X1,X3)
| left_apart_point(X4,X3)
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X4,reverse_line(X2))
| left_apart_point(X1,reverse_line(X3))
| left_apart_point(X4,reverse_line(X3)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oaguc1) ).
fof(div_def,axiom,
! [X1,X4,X2] :
( divides_points(X2,X1,X4)
<=> ( ( left_apart_point(X1,X2)
& left_apart_point(X4,reverse_line(X2)) )
| ( left_apart_point(X1,reverse_line(X2))
& left_apart_point(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',div_def) ).
fof(oagco8,axiom,
! [X2] : ~ distinct_lines(X2,reverse_line(X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco8) ).
fof(apt_def,axiom,
! [X1,X2] :
( apart_point_and_line(X1,X2)
<=> ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',apt_def) ).
fof(con_def,axiom,
! [X2,X3] :
( convergent_lines(X2,X3)
<=> ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',con_def) ).
fof(oag3,axiom,
! [X2] : ~ distinct_lines(X2,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag3) ).
fof(oag1,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag1) ).
fof(oag5,axiom,
! [X2] : ~ unequally_directed_lines(X2,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag5) ).
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/sandbox2/benchmark/Axioms/GEO007+0.ax',bet_def) ).
fof(oag4,axiom,
! [X2,X3,X6] :
( distinct_lines(X2,X3)
=> ( distinct_lines(X2,X6)
| distinct_lines(X3,X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag4) ).
fof(oag2,axiom,
! [X1,X4,X5] :
( distinct_points(X1,X4)
=> ( distinct_points(X1,X5)
| distinct_points(X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag2) ).
fof(oagco4,axiom,
! [X2] :
( line(X2)
=> line(reverse_line(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco4) ).
fof(oag11,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(c_0_19,plain,
! [X2,X3,X6] :
( ~ unequally_directed_lines(X2,reverse_line(X3))
& ( ~ unequally_directed_lines(X2,reverse_line(X6))
=> ~ unequally_directed_lines(X3,X6) ) ),
inference(fof_simplification,[status(thm)],[cld5]) ).
fof(c_0_20,plain,
! [X176,X177,X178] :
( ~ unequally_directed_lines(X176,reverse_line(X177))
& ( unequally_directed_lines(X176,reverse_line(X178))
| ~ unequally_directed_lines(X177,X178) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
fof(c_0_21,plain,
! [X123,X124] :
( ~ line(X123)
| ~ line(X124)
| unequally_directed_lines(X123,X124)
| unequally_directed_lines(X123,reverse_line(X124)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag8])]) ).
cnf(c_0_22,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_23,plain,
~ unequally_directed_lines(X1,reverse_line(X2)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_24,plain,
! [X135,X136] :
( ~ point(X136)
| ~ line(X135)
| line(parallel_through_point(X135,X136)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oagco3])]) ).
cnf(c_0_25,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2))
| ~ line(X1)
| ~ line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
~ unequally_directed_lines(X1,X2),
inference(sr,[status(thm)],[c_0_22,c_0_23]),
[final] ).
fof(c_0_27,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_28,plain,
! [X131,X132] :
( ~ point(X131)
| ~ point(X132)
| ~ distinct_points(X131,X132)
| line(line_connecting(X131,X132)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oagco1])]) ).
cnf(c_0_29,plain,
( line(parallel_through_point(X2,X1))
| ~ point(X1)
| ~ line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( ~ line(X1)
| ~ line(X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_25,c_0_26]),c_0_23]),
[final] ).
fof(c_0_31,plain,
! [X101,X102,X103] :
( ( distinct_points(X102,X103)
| ~ before_on_line(X101,X102,X103) )
& ( ~ left_apart_point(X102,X101)
| ~ before_on_line(X101,X102,X103) )
& ( ~ left_apart_point(X102,reverse_line(X101))
| ~ before_on_line(X101,X102,X103) )
& ( ~ left_apart_point(X103,X101)
| ~ before_on_line(X101,X102,X103) )
& ( ~ left_apart_point(X103,reverse_line(X101))
| ~ before_on_line(X101,X102,X103) )
& ( ~ unequally_directed_lines(X101,line_connecting(X102,X103))
| ~ before_on_line(X101,X102,X103) )
& ( ~ distinct_points(X102,X103)
| left_apart_point(X102,X101)
| left_apart_point(X102,reverse_line(X101))
| left_apart_point(X103,X101)
| left_apart_point(X103,reverse_line(X101))
| unequally_directed_lines(X101,line_connecting(X102,X103))
| before_on_line(X101,X102,X103) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_32,plain,
! [X127,X128] :
( ~ left_apart_point(X127,X128)
& ~ left_apart_point(X127,reverse_line(X128)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag10])]) ).
fof(c_0_33,plain,
! [X149,X150,X151,X152] :
( ~ distinct_points(X149,X150)
| ~ distinct_lines(X151,X152)
| left_apart_point(X149,X151)
| left_apart_point(X150,X151)
| left_apart_point(X149,X152)
| left_apart_point(X150,X152)
| left_apart_point(X149,reverse_line(X151))
| left_apart_point(X150,reverse_line(X151))
| left_apart_point(X149,reverse_line(X152))
| left_apart_point(X150,reverse_line(X152)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oaguc1])]) ).
fof(c_0_34,plain,
! [X98,X99,X100] :
( ( left_apart_point(X98,reverse_line(X100))
| left_apart_point(X98,X100)
| ~ divides_points(X100,X98,X99) )
& ( left_apart_point(X99,X100)
| left_apart_point(X98,X100)
| ~ divides_points(X100,X98,X99) )
& ( left_apart_point(X98,reverse_line(X100))
| left_apart_point(X99,reverse_line(X100))
| ~ divides_points(X100,X98,X99) )
& ( left_apart_point(X99,X100)
| left_apart_point(X99,reverse_line(X100))
| ~ divides_points(X100,X98,X99) )
& ( ~ left_apart_point(X98,X100)
| ~ left_apart_point(X99,reverse_line(X100))
| divides_points(X100,X98,X99) )
& ( ~ left_apart_point(X98,reverse_line(X100))
| ~ left_apart_point(X99,X100)
| divides_points(X100,X98,X99) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[div_def])])]) ).
fof(c_0_35,plain,
! [X2] : ~ distinct_lines(X2,reverse_line(X2)),
inference(fof_simplification,[status(thm)],[oagco8]) ).
fof(c_0_36,plain,
! [X94,X95] :
( ( ~ apart_point_and_line(X94,X95)
| left_apart_point(X94,X95)
| left_apart_point(X94,reverse_line(X95)) )
& ( ~ left_apart_point(X94,X95)
| apart_point_and_line(X94,X95) )
& ( ~ left_apart_point(X94,reverse_line(X95))
| apart_point_and_line(X94,X95) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apt_def])])]) ).
fof(c_0_37,plain,
! [X96,X97] :
( ( unequally_directed_lines(X96,X97)
| ~ convergent_lines(X96,X97) )
& ( unequally_directed_lines(X96,reverse_line(X97))
| ~ convergent_lines(X96,X97) )
& ( ~ unequally_directed_lines(X96,X97)
| ~ unequally_directed_lines(X96,reverse_line(X97))
| convergent_lines(X96,X97) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[con_def])])]) ).
fof(c_0_38,plain,
! [X2] : ~ distinct_lines(X2,X2),
inference(fof_simplification,[status(thm)],[oag3]) ).
fof(c_0_39,plain,
! [X1] : ~ distinct_points(X1,X1),
inference(fof_simplification,[status(thm)],[oag1]) ).
fof(c_0_40,plain,
! [X2] : ~ unequally_directed_lines(X2,X2),
inference(fof_simplification,[status(thm)],[oag5]) ).
fof(c_0_41,plain,
! [X104,X105,X106,X107] :
( ( before_on_line(X104,X107,X106)
| before_on_line(X104,X105,X106)
| ~ between_on_line(X104,X105,X106,X107) )
& ( before_on_line(X104,X106,X105)
| before_on_line(X104,X105,X106)
| ~ between_on_line(X104,X105,X106,X107) )
& ( before_on_line(X104,X107,X106)
| before_on_line(X104,X106,X107)
| ~ between_on_line(X104,X105,X106,X107) )
& ( before_on_line(X104,X106,X105)
| before_on_line(X104,X106,X107)
| ~ between_on_line(X104,X105,X106,X107) )
& ( ~ before_on_line(X104,X105,X106)
| ~ before_on_line(X104,X106,X107)
| between_on_line(X104,X105,X106,X107) )
& ( ~ before_on_line(X104,X107,X106)
| ~ before_on_line(X104,X106,X105)
| between_on_line(X104,X105,X106,X107) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[bet_def])])]) ).
fof(c_0_42,plain,
! [X113,X114,X115] :
( ~ distinct_lines(X113,X114)
| distinct_lines(X113,X115)
| distinct_lines(X114,X115) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag4])]) ).
fof(c_0_43,plain,
! [X109,X110,X111] :
( ~ distinct_points(X109,X110)
| distinct_points(X109,X111)
| distinct_points(X110,X111) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag2])]) ).
cnf(c_0_44,plain,
( line(line_connecting(X1,X2))
| ~ point(X1)
| ~ point(X2)
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_45,plain,
( ~ point(X1)
| ~ line(X2) ),
inference(csr,[status(thm)],[c_0_29,c_0_30]),
[final] ).
cnf(c_0_46,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_31]) ).
cnf(c_0_47,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_32]),
[final] ).
cnf(c_0_48,plain,
( left_apart_point(X1,X3)
| left_apart_point(X2,X3)
| left_apart_point(X1,X4)
| left_apart_point(X2,X4)
| left_apart_point(X1,reverse_line(X3))
| left_apart_point(X2,reverse_line(X3))
| left_apart_point(X1,reverse_line(X4))
| left_apart_point(X2,reverse_line(X4))
| ~ distinct_points(X1,X2)
| ~ distinct_lines(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_49,plain,
! [X137] :
( ~ line(X137)
| line(reverse_line(X137)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oagco4])]) ).
cnf(c_0_50,plain,
( left_apart_point(X1,X2)
| left_apart_point(X3,X2)
| ~ divides_points(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_51,plain,
! [X144] : ~ distinct_lines(X144,reverse_line(X144)),
inference(variable_rename,[status(thm)],[c_0_35]) ).
cnf(c_0_52,plain,
( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2))
| ~ apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_53,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_54,plain,
! [X129,X130] :
( ~ left_convergent_lines(X129,X130)
& ~ left_convergent_lines(X129,reverse_line(X130)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])]) ).
fof(c_0_55,plain,
! [X112] : ~ distinct_lines(X112,X112),
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_56,plain,
! [X108] : ~ distinct_points(X108,X108),
inference(variable_rename,[status(thm)],[c_0_39]) ).
fof(c_0_57,plain,
! [X116] : ~ unequally_directed_lines(X116,X116),
inference(variable_rename,[status(thm)],[c_0_40]) ).
cnf(c_0_58,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_41]),
[final] ).
cnf(c_0_59,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_41]),
[final] ).
cnf(c_0_60,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_41]),
[final] ).
cnf(c_0_61,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_41]),
[final] ).
cnf(c_0_62,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_41]),
[final] ).
cnf(c_0_63,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_41]),
[final] ).
cnf(c_0_64,plain,
( distinct_lines(X1,X3)
| distinct_lines(X2,X3)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]),
[final] ).
cnf(c_0_65,plain,
( distinct_points(X1,X3)
| distinct_points(X2,X3)
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]),
[final] ).
cnf(c_0_66,plain,
( ~ point(X1)
| ~ point(X2)
| ~ distinct_points(X2,X1) ),
inference(csr,[status(thm)],[c_0_44,c_0_45]),
[final] ).
cnf(c_0_67,plain,
( before_on_line(X1,X2,X3)
| ~ distinct_points(X2,X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_46,c_0_47]),c_0_47]),c_0_47]),c_0_47]),c_0_26]),
[final] ).
cnf(c_0_68,plain,
( ~ distinct_lines(X1,X2)
| ~ distinct_points(X3,X4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_48,c_0_47]),c_0_47]),c_0_47]),c_0_47]),c_0_47]),c_0_47]),c_0_47]),c_0_47]),
[final] ).
cnf(c_0_69,plain,
( distinct_points(X1,X2)
| ~ before_on_line(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]),
[final] ).
cnf(c_0_70,plain,
( line(reverse_line(X1))
| ~ line(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]),
[final] ).
cnf(c_0_71,plain,
~ divides_points(X1,X2,X3),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_50,c_0_47]),c_0_47]),
[final] ).
cnf(c_0_72,plain,
~ distinct_lines(X1,reverse_line(X1)),
inference(split_conjunct,[status(thm)],[c_0_51]),
[final] ).
cnf(c_0_73,plain,
~ apart_point_and_line(X1,X2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_52,c_0_47]),c_0_47]),
[final] ).
cnf(c_0_74,plain,
~ convergent_lines(X1,X2),
inference(sr,[status(thm)],[c_0_53,c_0_23]),
[final] ).
cnf(c_0_75,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_54]),
[final] ).
cnf(c_0_76,plain,
~ distinct_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_55]),
[final] ).
cnf(c_0_77,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_56]),
[final] ).
cnf(c_0_78,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_57]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO354+1 : TPTP v9.2.1. Released v6.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n008.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 17:54:28 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Satisfiable for theBenchmark.p
% 1.25/1.71 % SZS output start Saturation
% See solution above
% 1.25/1.71 % Total time : 1.373s
%------------------------------------------------------------------------------