%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO275+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 : n019.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 04:20:13 PM UTC 2026
% Result : Theorem 1.99s 1.91s
% Output : CNFRefutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 81 ( 24 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 101 ( 42 ~; 37 |; 19 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 14 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))',axiom,
! [X608,X609,X610,X611,X612] :
( ( vf(X610,X608) = vf(X610,X609)
& ron(X609,X612)
& ron(X608,X611)
& rcenter(X610,X612)
& rcenter(X610,X611)
& ? [X613] :
( X609 = X613
& rpoint(X613) )
& ? [X614] :
( X608 = X614
& rpoint(X614) ) )
=> X611 = X612 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof('qu(theu(the(228), 1), imp(the(228)))',conjecture,
! [X1] :
( ( ron(vd1081,X1)
& rcenter(vd1080,X1)
& rcircle(X1) )
=> X1 = vd1095 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(228), 1), imp(the(228)))') ).
fof('and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))',axiom,
( ron(vd1081,vd1095)
& rcenter(vd1080,vd1095)
& rcircle(vd1095) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))') ).
fof('qe(s2(plural(224)))',axiom,
? [X2] :
( vd1081 = X2
& rpoint(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(224)))') ).
fof(c_0_4,plain,
! [X2092,X2093,X2094,X2095,X2096,X2097,X2098] :
( vf(X2094,X2092) != vf(X2094,X2093)
| ~ ron(X2093,X2096)
| ~ ron(X2092,X2095)
| ~ rcenter(X2094,X2096)
| ~ rcenter(X2094,X2095)
| X2093 != X2097
| ~ rpoint(X2097)
| X2092 != X2098
| ~ rpoint(X2098)
| X2095 = X2096 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))'])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( ron(vd1081,X1)
& rcenter(vd1080,X1)
& rcircle(X1) )
=> X1 = vd1095 ),
inference(assume_negation,[status(cth)],['qu(theu(the(228), 1), imp(the(228)))']) ).
cnf(c_0_6,plain,
( X5 = X4
| vf(X1,X2) != vf(X1,X3)
| ~ ron(X3,X4)
| ~ ron(X2,X5)
| ~ rcenter(X1,X4)
| ~ rcenter(X1,X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,negated_conjecture,
( ron(vd1081,esk1_0)
& rcenter(vd1080,esk1_0)
& rcircle(esk1_0)
& esk1_0 != vd1095 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_8,plain,
( X1 = X2
| vf(X3,X4) != vf(X3,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcenter(X3,X2)
| ~ rcenter(X3,X1)
| ~ ron(X5,X1)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])]) ).
cnf(c_0_9,negated_conjecture,
rcenter(vd1080,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( X1 = esk1_0
| vf(vd1080,X2) != vf(vd1080,X3)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rcenter(vd1080,X1)
| ~ ron(X2,esk1_0)
| ~ ron(X3,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
rcenter(vd1080,vd1095),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))']) ).
cnf(c_0_12,negated_conjecture,
esk1_0 != vd1095,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,plain,
( vd1081 = esk2_0
& rpoint(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(224)))'])]) ).
cnf(c_0_14,negated_conjecture,
( vf(vd1080,X1) != vf(vd1080,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,esk1_0)
| ~ ron(X2,vd1095) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_15,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
vd1081 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,esk1_0)
| ~ ron(X1,vd1095) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
ron(vd1081,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,plain,
rpoint(vd1081),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
ron(vd1081,vd1095),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))']) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO275+1 : TPTP v9.2.1. Released v4.1.0.
% 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 : n019.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 17:51:29 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.99/1.91 % Version : CSE_E---1.7
% 1.99/1.91 % Problem : theBenchmark.p
% 1.99/1.91 % SZS status Theorem for theBenchmark.p
% 1.99/1.91 % SZS output start CNFRefutation
% See solution above
% 1.99/1.92 % Total time : 1.424s
%------------------------------------------------------------------------------