%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO305+1 : TPTP v9.2.1. Released v4.1.0.
% 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 : 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 04:20:17 PM UTC 2026
% Result : Theorem 1.81s 1.89s
% Output : CNFRefutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 20 unt; 0 def)
% Number of atoms : 92 ( 30 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 104 ( 40 ~; 32 |; 31 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 13 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))',axiom,
! [X4,X5,X6,X7,X8] :
( ( X7 = X8
& ron(X5,X7)
& ron(X4,X7)
& rR(X5,X4,X6)
& rline(X8)
& ? [X9] :
( X6 = X9
& rpoint(X9) )
& ? [X10] :
( X5 = X10
& rpoint(X10) )
& ? [X11] :
( X4 = X11
& rpoint(X11) ) )
=> ron(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))',axiom,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X1] :
( vd1289 = X1
& rpoint(X1) )
& ? [X2] :
( vd1288 = X2
& rpoint(X2) )
& ? [X3] :
( vd1287 = X3
& rpoint(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof('and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))',axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof('pred(conjunct2(349), 0)',conjecture,
ron(vd1302,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof('pred(347, 0)',axiom,
rline(vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(347, 0)') ).
fof('pred(s1(plural(347)), 0)',axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(347)), 0)') ).
fof('pred(s2(plural(347)), 0)',axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).
fof(c_0_7,plain,
! [X1580,X1581,X1582,X1583,X1584,X1585,X1586,X1587] :
( X1583 != X1584
| ~ ron(X1581,X1583)
| ~ ron(X1580,X1583)
| ~ rR(X1581,X1580,X1582)
| ~ rline(X1584)
| X1582 != X1585
| ~ rpoint(X1585)
| X1581 != X1586
| ~ rpoint(X1586)
| X1580 != X1587
| ~ rpoint(X1587)
| ron(X1582,X1583) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))'])])]) ).
fof(c_0_8,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = esk1_0
& rpoint(esk1_0)
& vd1288 = esk2_0
& rpoint(esk2_0)
& vd1287 = esk3_0
& rpoint(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))'])]) ).
cnf(c_0_9,plain,
( ron(X5,X1)
| X1 != X2
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X3,X4,X5)
| ~ rline(X2)
| X5 != X6
| ~ rpoint(X6)
| X3 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
vd1287 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
vd1289 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
rpoint(vd1303),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
cnf(c_0_15,plain,
vd1302 = vd1303,
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
cnf(c_0_16,plain,
( ron(X1,X2)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rR(X4,X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_9])])])]) ).
cnf(c_0_17,plain,
rR(vd1289,vd1287,vd1302),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
cnf(c_0_18,plain,
rpoint(vd1287),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_19,plain,
rpoint(vd1289),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,plain,
rpoint(vd1302),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_21,negated_conjecture,
~ ron(vd1302,vd1297),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['pred(conjunct2(349), 0)'])]) ).
cnf(c_0_22,plain,
( ron(vd1302,X1)
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1289,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_23,plain,
rline(vd1297),
inference(split_conjunct,[status(thm)],['pred(347, 0)']) ).
cnf(c_0_24,plain,
ron(vd1287,vd1297),
inference(split_conjunct,[status(thm)],['pred(s1(plural(347)), 0)']) ).
cnf(c_0_25,plain,
ron(vd1289,vd1297),
inference(split_conjunct,[status(thm)],['pred(s2(plural(347)), 0)']) ).
cnf(c_0_26,negated_conjecture,
~ ron(vd1302,vd1297),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO305+1 : TPTP v9.2.1. Released v4.1.0.
% 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
% 0.15/0.33 % Computer : n019.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 17:52:44 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.81/1.89 % Version : CSE_E---1.7
% 1.81/1.89 % Problem : theBenchmark.p
% 1.81/1.89 % SZS status Theorem for theBenchmark.p
% 1.81/1.89 % SZS output start CNFRefutation
% See solution above
% 1.91/1.90 % Total time : 1.424s
%------------------------------------------------------------------------------