%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO258+3 : TPTP v9.2.1. Released v4.0.0.
% 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 : n005.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 1.28s 1.72s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 69 ( 27 ~; 31 |; 8 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 40 ( 2 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X4,X3,X6,X7] :
( between_on_line(X4,X3,X6,X7)
=> between_on_line(X4,X7,X6,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(a9_defns,axiom,
! [X4,X3,X6,X7] :
( between_on_line(X4,X3,X6,X7)
<=> ( ( before_on_line(X4,X3,X6)
& before_on_line(X4,X6,X7) )
| ( before_on_line(X4,X7,X6)
& before_on_line(X4,X6,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a9_defns) ).
fof(c_0_2,negated_conjecture,
~ ! [X4,X3,X6,X7] :
( between_on_line(X4,X3,X6,X7)
=> between_on_line(X4,X7,X6,X3) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_3,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_2])])]) ).
fof(c_0_4,plain,
! [X114,X115,X116,X117] :
( ( before_on_line(X114,X117,X116)
| before_on_line(X114,X115,X116)
| ~ between_on_line(X114,X115,X116,X117) )
& ( before_on_line(X114,X116,X115)
| before_on_line(X114,X115,X116)
| ~ between_on_line(X114,X115,X116,X117) )
& ( before_on_line(X114,X117,X116)
| before_on_line(X114,X116,X117)
| ~ between_on_line(X114,X115,X116,X117) )
& ( before_on_line(X114,X116,X115)
| before_on_line(X114,X116,X117)
| ~ between_on_line(X114,X115,X116,X117) )
& ( ~ before_on_line(X114,X115,X116)
| ~ before_on_line(X114,X116,X117)
| between_on_line(X114,X115,X116,X117) )
& ( ~ before_on_line(X114,X117,X116)
| ~ before_on_line(X114,X116,X115)
| between_on_line(X114,X115,X116,X117) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a9_defns])])]) ).
cnf(c_0_5,negated_conjecture,
~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,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_4]) ).
cnf(c_0_7,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_4]) ).
cnf(c_0_8,negated_conjecture,
between_on_line(esk1_0,esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,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_4]) ).
cnf(c_0_10,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_4]) ).
cnf(c_0_11,negated_conjecture,
( ~ before_on_line(esk1_0,esk3_0,esk2_0)
| ~ before_on_line(esk1_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_12,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_7,c_0_8]) ).
cnf(c_0_13,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_9,c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( ~ before_on_line(esk1_0,esk3_0,esk4_0)
| ~ before_on_line(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( before_on_line(esk1_0,esk3_0,esk4_0)
| ~ before_on_line(esk1_0,esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( before_on_line(esk1_0,esk2_0,esk3_0)
| ~ before_on_line(esk1_0,esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_17,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_4]) ).
cnf(c_0_18,negated_conjecture,
~ before_on_line(esk1_0,esk3_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
before_on_line(esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_8]),c_0_18]) ).
cnf(c_0_20,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_4]) ).
cnf(c_0_21,negated_conjecture,
~ before_on_line(esk1_0,esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_19])]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_8]),c_0_21]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO258+3 : TPTP v9.2.1. Released v4.0.0.
% 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 : n005.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 17:50:30 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status Theorem for theBenchmark.p
% 1.28/1.72 % SZS output start CNFRefutation
% See solution above
% 1.28/1.72 % Total time : 1.370s
%------------------------------------------------------------------------------