%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO260+1 : TPTP v9.2.1. Bugfixed v8.1.0.
% 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 : n006.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 1.62s 1.81s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 15 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 104 ( 38 ~; 44 |; 16 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 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 : 78 ( 2 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(oag5,axiom,
! [X2] : ~ unequally_directed_lines(X2,X2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
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(oagco4,axiom,
! [X2] :
( line(X2)
=> line(reverse_line(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oagco4) ).
fof(con,conjecture,
! [X2,X1,X4,X5] :
( ( line(X2)
& distinct_points(X1,X5)
& distinct_points(X4,X5)
& distinct_points(X1,X4) )
=> ~ ( between_on_line(X2,X1,X4,X5)
& between_on_line(X2,X1,X5,X4) ) ),
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(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,plain,
! [X2] : ~ unequally_directed_lines(X2,X2),
inference(fof_simplification,[status(thm)],[oag5]) ).
fof(c_0_9,plain,
! [X104] : ~ unequally_directed_lines(X104,X104),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_10,plain,
! [X111,X112] :
( ~ line(X111)
| ~ line(X112)
| unequally_directed_lines(X111,X112)
| unequally_directed_lines(X111,reverse_line(X112)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag8])]) ).
fof(c_0_11,plain,
! [X125] :
( ~ line(X125)
| line(reverse_line(X125)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oagco4])]) ).
fof(c_0_12,negated_conjecture,
~ ! [X2,X1,X4,X5] :
( ( line(X2)
& distinct_points(X1,X5)
& distinct_points(X4,X5)
& distinct_points(X1,X4) )
=> ~ ( between_on_line(X2,X1,X4,X5)
& between_on_line(X2,X1,X5,X4) ) ),
inference(assume_negation,[status(cth)],[con]) ).
cnf(c_0_13,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2))
| ~ line(X1)
| ~ line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( line(reverse_line(X1))
| ~ line(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,negated_conjecture,
( line(esk1_0)
& distinct_points(esk2_0,esk4_0)
& distinct_points(esk3_0,esk4_0)
& distinct_points(esk2_0,esk3_0)
& between_on_line(esk1_0,esk2_0,esk3_0,esk4_0)
& between_on_line(esk1_0,esk2_0,esk4_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_17,plain,
! [X113,X114] :
( ~ unequally_directed_lines(X113,X114)
| ~ unequally_directed_lines(X113,reverse_line(X114))
| left_convergent_lines(X113,X114)
| left_convergent_lines(X113,reverse_line(X114)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag9])]) ).
fof(c_0_18,plain,
! [X117,X118] :
( ~ left_convergent_lines(X117,X118)
& ~ left_convergent_lines(X117,reverse_line(X118)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])]) ).
fof(c_0_19,plain,
! [X105,X106,X107] :
( ~ unequally_directed_lines(X105,X106)
| unequally_directed_lines(X105,X107)
| unequally_directed_lines(X106,X107) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag6])]) ).
cnf(c_0_20,plain,
( unequally_directed_lines(reverse_line(X1),X1)
| ~ line(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_21,negated_conjecture,
line(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,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_17]) ).
cnf(c_0_23,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
unequally_directed_lines(reverse_line(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_22,c_0_23]),c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(X1))
| ~ unequally_directed_lines(reverse_line(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,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_24,c_0_27]) ).
cnf(c_0_30,plain,
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(X1,X2)
| ~ line(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_20]) ).
fof(c_0_31,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_32,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(X1))
| unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(X2,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ line(X1)
| ~ unequally_directed_lines(reverse_line(X1),X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_30]) ).
fof(c_0_34,plain,
! [X133,X134] : ~ unequally_directed_lines(line_connecting(X133,X134),reverse_line(line_connecting(X134,X133))),
inference(variable_rename,[status(thm)],[c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_32]) ).
cnf(c_0_36,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2)
| ~ line(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_30]) ).
cnf(c_0_37,plain,
~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_21])]) ).
cnf(c_0_39,negated_conjecture,
( unequally_directed_lines(esk1_0,line_connecting(X1,X2))
| unequally_directed_lines(esk1_0,line_connecting(X2,X1)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(reverse_line(X1)))
| unequally_directed_lines(esk1_0,X2)
| ~ unequally_directed_lines(X2,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_32]) ).
cnf(c_0_41,negated_conjecture,
unequally_directed_lines(esk1_0,line_connecting(X1,X1)),
inference(ef,[status(thm)],[c_0_39]) ).
cnf(c_0_42,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(reverse_line(line_connecting(X1,X1)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_13]) ).
cnf(c_0_43,negated_conjecture,
( unequally_directed_lines(line_connecting(X1,X1),X2)
| unequally_directed_lines(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
~ unequally_directed_lines(esk1_0,reverse_line(line_connecting(X1,X1))),
inference(spm,[status(thm)],[c_0_26,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_43]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO260+1 : TPTP v9.2.1. Bugfixed v8.1.0.
% 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
% 0.14/0.32 % Computer : n006.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 17:50:16 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.62/1.81 % Version : CSE_E---1.7
% 1.62/1.81 % Problem : theBenchmark.p
% 1.62/1.81 % SZS status Theorem for theBenchmark.p
% 1.62/1.81 % SZS output start CNFRefutation
% See solution above
% 1.62/1.81 % Total time : 1.373s
%------------------------------------------------------------------------------