%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO342+1 : TPTP v9.2.1. Released v4.1.0.
% 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 : n004.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 04:20:20 PM UTC 2026
% Result : Theorem 1.79s 1.89s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 110 ( 43 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 137 ( 51 ~; 49 |; 36 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 7 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qe(thee(the(408), 1))',conjecture,
? [X1] :
( ron(vd1399,X1)
& ron(vd1401,X1)
& rline(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(thee(the(408), 1))') ).
fof('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))',axiom,
! [X123,X124] :
( ( X123 != X124
& ? [X125] :
( X124 = X125
& rpoint(X125) )
& ? [X126] :
( X123 = X126
& rpoint(X126) ) )
=> ? [X127] :
( ron(X124,X127)
& ron(X123,X127)
& rline(X127) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof('and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))',axiom,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& ? [X2] :
( vd1401 = X2
& rpoint(X2) )
& ? [X3] :
( vd1400 = X3
& rpoint(X3) )
& ? [X4] :
( vd1399 = X4
& rpoint(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).
fof(c_0_3,negated_conjecture,
~ ? [X1] :
( ron(vd1399,X1)
& ron(vd1401,X1)
& rline(X1) ),
inference(assume_negation,[status(cth)],['qe(thee(the(408), 1))']) ).
fof(c_0_4,plain,
! [X1809,X1810,X1811,X1812] :
( ( ron(X1810,esk8_2(X1809,X1810))
| X1809 = X1810
| X1810 != X1811
| ~ rpoint(X1811)
| X1809 != X1812
| ~ rpoint(X1812) )
& ( ron(X1809,esk8_2(X1809,X1810))
| X1809 = X1810
| X1810 != X1811
| ~ rpoint(X1811)
| X1809 != X1812
| ~ rpoint(X1812) )
& ( rline(esk8_2(X1809,X1810))
| X1809 = X1810
| X1810 != X1811
| ~ rpoint(X1811)
| X1809 != X1812
| ~ rpoint(X1812) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))'])])])])]) ).
fof(c_0_5,negated_conjecture,
! [X1621] :
( ~ ron(vd1399,X1621)
| ~ ron(vd1401,X1621)
| ~ rline(X1621) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
cnf(c_0_6,plain,
( rline(esk8_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& vd1401 = esk1_0
& rpoint(esk1_0)
& vd1400 = esk2_0
& rpoint(esk2_0)
& vd1399 = esk3_0
& rpoint(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'])]) ).
cnf(c_0_8,negated_conjecture,
( ~ ron(vd1399,X1)
| ~ ron(vd1401,X1)
| ~ rline(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( X1 = X2
| rline(esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])]) ).
cnf(c_0_10,plain,
( ron(X1,esk8_2(X1,X2))
| X1 = X2
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
vd1399 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(vd1399,esk8_2(X1,X2))
| ~ ron(vd1401,esk8_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( X1 = X2
| ron(X1,esk8_2(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_10])]) ).
cnf(c_0_15,plain,
rpoint(vd1399),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( ron(X1,esk8_2(X2,X1))
| X2 = X1
| X1 != X3
| ~ rpoint(X3)
| X2 != X4
| ~ rpoint(X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
vd1401 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,negated_conjecture,
( vd1399 = X1
| ~ rpoint(X1)
| ~ ron(vd1401,esk8_2(vd1399,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_20,plain,
( X1 = X2
| ron(X1,esk8_2(X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_16])]) ).
cnf(c_0_21,plain,
rpoint(vd1401),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
vd1399 != vd1401,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_15])]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO342+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n004.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 17:53:17 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.79/1.89 % Version : CSE_E---1.7
% 1.79/1.89 % Problem : theBenchmark.p
% 1.79/1.89 % SZS status Theorem for theBenchmark.p
% 1.79/1.89 % SZS output start CNFRefutation
% See solution above
% 1.89/1.90 % Total time : 1.424s
%------------------------------------------------------------------------------