%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO288+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 : n001.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 04:20:15 PM UTC 2026
% Result : Theorem 26.17s 16.22s
% Output : CNFRefutation 26.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 49 ( 32 unt; 0 def)
% Number of atoms : 363 ( 212 equ)
% Maximal formula atoms : 80 ( 7 avg)
% Number of connectives : 518 ( 204 ~; 250 |; 63 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-6 aty)
% Number of variables : 118 ( 0 sgn 19 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(proof(267), 0), 1)',axiom,
! [X8,X9,X10,X11,X12,X13] :
( ( ~ ? [X14] :
( ron(X13,X14)
& ron(X12,X14)
& ron(X11,X14)
& rline(X14) )
& vangle(X9,X8,X10) = vangle(X12,X11,X13)
& vf(X8,X10) = vf(X11,X13)
& vf(X8,X9) = vf(X11,X12)
& ? [X15] :
( X13 = X15
& rpoint(X15) )
& ? [X16] :
( X12 = X16
& rpoint(X16) )
& ? [X17] :
( X11 = X17
& rpoint(X17) )
& X9 != X10
& X8 != X10
& X8 != X9
& ? [X18] :
( X10 = X18
& rpoint(X18) )
& ? [X19] :
( X9 = X19
& rpoint(X19) )
& ? [X20] :
( X8 = X20
& rpoint(X20) ) )
=> vangle(X11,X12,X13) = vangle(X8,X9,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(267), 0), 1)') ).
fof('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))',axiom,
( ~ ? [X1] :
( ron(vd1165,X1)
& ron(vd1164,X1)
& ron(vd1163,X1)
& rline(X1) )
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& ? [X2] :
( vd1165 = X2
& rpoint(X2) )
& ? [X3] :
( vd1164 = X3
& rpoint(X3) )
& ? [X4] :
( vd1163 = X4
& rpoint(X4) )
& vd1157 != vd1158
& vd1156 != vd1158
& vd1156 != vd1157
& ? [X5] :
( vd1158 = X5
& rpoint(X5) )
& ? [X6] :
( vd1157 = X6
& rpoint(X6) )
& ? [X7] :
( vd1156 = X7
& rpoint(X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))') ).
fof('holds(conjunct1(conjunct2(266)), 1176, 0)',conjecture,
vangle(vd1156,vd1157,vd1158) = vangle(vd1163,vd1164,vd1165),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(266)), 1176, 0)') ).
fof(c_0_3,plain,
! [X2347,X2348,X2349,X2350,X2351,X2352,X2354,X2355,X2356,X2357,X2358,X2359] :
( ( ron(X2352,esk8_6(X2347,X2348,X2349,X2350,X2351,X2352))
| vangle(X2348,X2347,X2349) != vangle(X2351,X2350,X2352)
| vf(X2347,X2349) != vf(X2350,X2352)
| vf(X2347,X2348) != vf(X2350,X2351)
| X2352 != X2354
| ~ rpoint(X2354)
| X2351 != X2355
| ~ rpoint(X2355)
| X2350 != X2356
| ~ rpoint(X2356)
| X2348 = X2349
| X2347 = X2349
| X2347 = X2348
| X2349 != X2357
| ~ rpoint(X2357)
| X2348 != X2358
| ~ rpoint(X2358)
| X2347 != X2359
| ~ rpoint(X2359)
| vangle(X2350,X2351,X2352) = vangle(X2347,X2348,X2349) )
& ( ron(X2351,esk8_6(X2347,X2348,X2349,X2350,X2351,X2352))
| vangle(X2348,X2347,X2349) != vangle(X2351,X2350,X2352)
| vf(X2347,X2349) != vf(X2350,X2352)
| vf(X2347,X2348) != vf(X2350,X2351)
| X2352 != X2354
| ~ rpoint(X2354)
| X2351 != X2355
| ~ rpoint(X2355)
| X2350 != X2356
| ~ rpoint(X2356)
| X2348 = X2349
| X2347 = X2349
| X2347 = X2348
| X2349 != X2357
| ~ rpoint(X2357)
| X2348 != X2358
| ~ rpoint(X2358)
| X2347 != X2359
| ~ rpoint(X2359)
| vangle(X2350,X2351,X2352) = vangle(X2347,X2348,X2349) )
& ( ron(X2350,esk8_6(X2347,X2348,X2349,X2350,X2351,X2352))
| vangle(X2348,X2347,X2349) != vangle(X2351,X2350,X2352)
| vf(X2347,X2349) != vf(X2350,X2352)
| vf(X2347,X2348) != vf(X2350,X2351)
| X2352 != X2354
| ~ rpoint(X2354)
| X2351 != X2355
| ~ rpoint(X2355)
| X2350 != X2356
| ~ rpoint(X2356)
| X2348 = X2349
| X2347 = X2349
| X2347 = X2348
| X2349 != X2357
| ~ rpoint(X2357)
| X2348 != X2358
| ~ rpoint(X2358)
| X2347 != X2359
| ~ rpoint(X2359)
| vangle(X2350,X2351,X2352) = vangle(X2347,X2348,X2349) )
& ( rline(esk8_6(X2347,X2348,X2349,X2350,X2351,X2352))
| vangle(X2348,X2347,X2349) != vangle(X2351,X2350,X2352)
| vf(X2347,X2349) != vf(X2350,X2352)
| vf(X2347,X2348) != vf(X2350,X2351)
| X2352 != X2354
| ~ rpoint(X2354)
| X2351 != X2355
| ~ rpoint(X2355)
| X2350 != X2356
| ~ rpoint(X2356)
| X2348 = X2349
| X2347 = X2349
| X2347 = X2348
| X2349 != X2357
| ~ rpoint(X2357)
| X2348 != X2358
| ~ rpoint(X2358)
| X2347 != X2359
| ~ rpoint(X2359)
| vangle(X2350,X2351,X2352) = vangle(X2347,X2348,X2349) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(proof(267), 0), 1)'])])])])]) ).
fof(c_0_4,plain,
! [X2327] :
( ( ~ ron(vd1165,X2327)
| ~ ron(vd1164,X2327)
| ~ ron(vd1163,X2327)
| ~ rline(X2327) )
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vd1165 = esk1_0
& rpoint(esk1_0)
& vd1164 = esk2_0
& rpoint(esk2_0)
& vd1163 = esk3_0
& rpoint(esk3_0)
& vd1157 != vd1158
& vd1156 != vd1158
& vd1156 != vd1157
& vd1158 = esk4_0
& rpoint(esk4_0)
& vd1157 = esk5_0
& rpoint(esk5_0)
& vd1156 = esk6_0
& rpoint(esk6_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))'])])])]) ).
cnf(c_0_5,plain,
( ron(X1,esk8_6(X2,X3,X4,X1,X5,X6))
| X3 = X4
| X2 = X4
| X2 = X3
| vangle(X1,X5,X6) = vangle(X2,X3,X4)
| vangle(X3,X2,X4) != vangle(X5,X1,X6)
| vf(X2,X4) != vf(X1,X6)
| vf(X2,X3) != vf(X1,X5)
| X6 != X7
| ~ rpoint(X7)
| X5 != X8
| ~ rpoint(X8)
| X1 != X9
| ~ rpoint(X9)
| X4 != X10
| ~ rpoint(X10)
| X3 != X11
| ~ rpoint(X11)
| X2 != X12
| ~ rpoint(X12) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
vd1163 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
vd1164 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
vd1165 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( rline(esk8_6(X1,X2,X3,X4,X5,X6))
| X2 = X3
| X1 = X3
| X1 = X2
| vangle(X4,X5,X6) = vangle(X1,X2,X3)
| vangle(X2,X1,X3) != vangle(X5,X4,X6)
| vf(X1,X3) != vf(X4,X6)
| vf(X1,X2) != vf(X4,X5)
| X6 != X7
| ~ rpoint(X7)
| X5 != X8
| ~ rpoint(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,plain,
( ron(X1,esk8_6(X2,X3,X4,X5,X1,X6))
| X3 = X4
| X2 = X4
| X2 = X3
| vangle(X5,X1,X6) = vangle(X2,X3,X4)
| vangle(X3,X2,X4) != vangle(X1,X5,X6)
| vf(X2,X4) != vf(X5,X6)
| vf(X2,X3) != vf(X5,X1)
| X6 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X5 != X9
| ~ rpoint(X9)
| X4 != X10
| ~ rpoint(X10)
| X3 != X11
| ~ rpoint(X11)
| X2 != X12
| ~ rpoint(X12) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,plain,
( ron(X1,esk8_6(X2,X3,X4,X5,X6,X1))
| X3 = X4
| X2 = X4
| X2 = X3
| vangle(X5,X6,X1) = vangle(X2,X3,X4)
| vangle(X3,X2,X4) != vangle(X6,X5,X1)
| vf(X2,X4) != vf(X5,X1)
| vf(X2,X3) != vf(X5,X6)
| X1 != X7
| ~ rpoint(X7)
| X6 != X8
| ~ rpoint(X8)
| X5 != X9
| ~ rpoint(X9)
| X4 != X10
| ~ rpoint(X10)
| X3 != X11
| ~ rpoint(X11)
| X2 != X12
| ~ rpoint(X12) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| X5 = X6
| X4 = X6
| X4 = X5
| ron(X1,esk8_6(X4,X5,X6,X1,X2,X3))
| vangle(X5,X4,X6) != vangle(X2,X1,X3)
| vf(X1,X3) != vf(X4,X6)
| vf(X1,X2) != vf(X4,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_5])])])])])]) ).
cnf(c_0_16,plain,
vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
vf(vd1156,vd1158) = vf(vd1163,vd1165),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,plain,
vf(vd1156,vd1157) = vf(vd1163,vd1164),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,plain,
rpoint(vd1163),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_20,plain,
rpoint(vd1164),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_21,plain,
rpoint(vd1165),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_22,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,plain,
vd1156 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,plain,
rpoint(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,plain,
vd1157 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_27,plain,
vd1158 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_28,negated_conjecture,
vangle(vd1156,vd1157,vd1158) != vangle(vd1163,vd1164,vd1165),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conjunct1(conjunct2(266)), 1176, 0)'])]) ).
cnf(c_0_29,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| X2 = X3
| X1 = X3
| X1 = X2
| rline(esk8_6(X1,X2,X3,X4,X5,X6))
| vangle(X2,X1,X3) != vangle(X5,X4,X6)
| vf(X1,X3) != vf(X4,X6)
| vf(X1,X2) != vf(X4,X5)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_12])])])])])]) ).
cnf(c_0_30,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| X2 = X3
| X1 = X3
| X1 = X2
| ron(X5,esk8_6(X1,X2,X3,X4,X5,X6))
| vangle(X5,X4,X6) != vangle(X2,X1,X3)
| vf(X1,X3) != vf(X4,X6)
| vf(X1,X2) != vf(X4,X5)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])])])])])]) ).
cnf(c_0_31,plain,
( vangle(X1,X2,X3) = vangle(X4,X5,X6)
| X2 = X3
| X1 = X3
| X1 = X2
| ron(X6,esk8_6(X1,X2,X3,X4,X5,X6))
| vangle(X2,X1,X3) != vangle(X5,X4,X6)
| vf(X1,X3) != vf(X4,X6)
| vf(X1,X2) != vf(X4,X5)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_14])])])])])]) ).
cnf(c_0_32,plain,
( vangle(vd1163,vd1164,vd1165) = vangle(X1,X2,X3)
| X2 = X3
| X1 = X3
| X1 = X2
| ron(vd1163,esk8_6(X1,X2,X3,vd1163,vd1164,vd1165))
| vangle(X2,X1,X3) != vangle(vd1157,vd1156,vd1158)
| vf(vd1156,vd1158) != vf(X1,X3)
| vf(vd1156,vd1157) != vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_33,plain,
rpoint(vd1156),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_34,plain,
rpoint(vd1157),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_35,plain,
rpoint(vd1158),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_36,negated_conjecture,
vangle(vd1156,vd1157,vd1158) != vangle(vd1163,vd1164,vd1165),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,plain,
vd1157 != vd1158,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_38,plain,
vd1156 != vd1158,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_39,plain,
vd1156 != vd1157,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_40,plain,
( vangle(X1,X2,X3) = vangle(vd1163,vd1164,vd1165)
| X2 = X3
| X1 = X3
| X1 = X2
| rline(esk8_6(X1,X2,X3,vd1163,vd1164,vd1165))
| vangle(X2,X1,X3) != vangle(vd1157,vd1156,vd1158)
| vf(X1,X3) != vf(vd1156,vd1158)
| vf(X1,X2) != vf(vd1156,vd1157)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_41,plain,
( vangle(X1,X2,X3) = vangle(vd1163,vd1164,vd1165)
| X2 = X3
| X1 = X3
| X1 = X2
| ron(vd1164,esk8_6(X1,X2,X3,vd1163,vd1164,vd1165))
| vangle(vd1157,vd1156,vd1158) != vangle(X2,X1,X3)
| vf(X1,X3) != vf(vd1156,vd1158)
| vf(X1,X2) != vf(vd1156,vd1157)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_42,plain,
( vangle(X1,X2,X3) = vangle(vd1163,vd1164,vd1165)
| X2 = X3
| X1 = X3
| X1 = X2
| ron(vd1165,esk8_6(X1,X2,X3,vd1163,vd1164,vd1165))
| vangle(X2,X1,X3) != vangle(vd1157,vd1156,vd1158)
| vf(X1,X3) != vf(vd1156,vd1158)
| vf(X1,X2) != vf(vd1156,vd1157)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_43,plain,
( ~ ron(vd1165,X1)
| ~ ron(vd1164,X1)
| ~ ron(vd1163,X1)
| ~ rline(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_44,plain,
ron(vd1163,esk8_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]),c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_45,plain,
rline(esk8_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_40]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]),c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_46,plain,
ron(vd1164,esk8_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_41]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]),c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_47,plain,
ron(vd1165,esk8_6(vd1156,vd1157,vd1158,vd1163,vd1164,vd1165)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_42]),c_0_33]),c_0_34]),c_0_35])]),c_0_36]),c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_48,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]),c_0_47])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO288+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
% 0.14/0.32 % Computer : n001.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 17:53:33 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 26.17/16.22 % Version : CSE_E---1.7
% 26.17/16.22 % Problem : theBenchmark.p
% 26.17/16.22 % SZS status Theorem for theBenchmark.p
% 26.17/16.22 % SZS output start CNFRefutation
% See solution above
% 26.26/16.30 % Total time : 12.548s
%------------------------------------------------------------------------------