%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO290+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:28:06 PM UTC 2026
% Result : Theorem 10.57s 1.96s
% Output : CNFRefutation 10.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 96 ( 51 unt; 0 def)
% Number of atoms : 422 ( 184 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 520 ( 194 ~; 188 |; 130 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 138 ( 0 sgn 45 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))',axiom,
! [X1,X2,X3,X4,X5] :
( ( ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& ? [X6] :
( rpoint(X6)
& X3 = X6 )
& X1 != X2
& X1 != X3
& X2 != X3
& rline(X5)
& ron(X1,X4)
& ron(X2,X4)
& ron(X3,X4)
& X4 = X5 )
=> ( rR(X3,X1,X2)
| rR(X1,X2,X3)
| rR(X2,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))',axiom,
( ? [X18] :
( rpoint(X18)
& vd1178 = X18 )
& ? [X17] :
( rpoint(X17)
& vd1179 = X17 )
& ? [X16] :
( rpoint(X16)
& vd1180 = X16 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X15] :
( rpoint(X15)
& vd1185 = X15 )
& ? [X14] :
( rpoint(X14)
& vd1186 = X14 )
& ? [X13] :
( rpoint(X13)
& vd1187 = X13 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X12] :
( rline(X12)
& ron(vd1185,X12)
& ron(vd1186,X12)
& ron(vd1187,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))',axiom,
! [X31,X32] :
( ( ? [X34] :
( rpoint(X34)
& X31 = X34 )
& ? [X33] :
( rpoint(X33)
& X32 = X33 )
& X31 != X32 )
=> ? [X35] :
( rline(X35)
& ron(X31,X35)
& ron(X32,X35) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof('qe(s1(plural(271)))',axiom,
? [X11] :
( rpoint(X11)
& vd1199 = X11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).
fof('holds(275, 1217, 0)',axiom,
vd1199 != vd1185,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(275, 1217, 0)') ).
fof('qe(s2(plural(271)))',axiom,
? [X10] :
( rpoint(X10)
& vd1200 = X10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(271)))') ).
fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
! [X441,X442,X443] :
( ( ? [X446] :
( rpoint(X446)
& X441 = X446 )
& ? [X445] :
( rpoint(X445)
& X442 = X445 )
& ? [X444] :
( rpoint(X444)
& X443 = X444 )
& rR(X442,X441,X443) )
=> ( rR(X442,X443,X441)
& X441 != X442
& X441 != X443
& ~ rR(X441,X442,X443) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof('pred(s3(plural(274)), 0)',axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s3(plural(274)), 0)') ).
fof('pred(269, 0)',axiom,
rline(vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(269, 0)') ).
fof('holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)',axiom,
vd1200 = vd1186,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).
fof('dis(276)',conjecture,
( rR(vd1185,vd1199,vd1186)
| rR(vd1199,vd1185,vd1186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(276)') ).
fof('pred(s1(plural(274)), 0)',axiom,
ron(vd1199,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(274)), 0)') ).
fof('neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))',axiom,
~ rR(vd1186,vd1199,vd1185),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))') ).
fof('pred(s2(plural(269)), 0)',axiom,
ron(vd1186,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)') ).
fof('qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))',axiom,
! [X27,X28] :
( ( ? [X30] :
( rpoint(X30)
& X27 = X30 )
& ? [X29] :
( rpoint(X29)
& X28 = X29 ) )
=> ( vf(X27,X28) = v0
<=> X27 = X28 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof('neg(neg(270))',axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(270))') ).
fof('holds(conjunct1(conjunct2(conjunct2(conjunct2(plural(271))))), 1209, 0)',axiom,
vf(vd1178,vd1179) = vf(vd1199,vd1200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(conjunct2(plural(271))))), 1209, 0)') ).
fof(c_0_17,plain,
! [X1,X2,X3,X4,X5] :
( ( ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& ? [X6] :
( rpoint(X6)
& X3 = X6 )
& X1 != X2
& X1 != X3
& X2 != X3
& rline(X5)
& ron(X1,X4)
& ron(X2,X4)
& ron(X3,X4)
& X4 = X5 )
=> ( rR(X3,X1,X2)
| rR(X1,X2,X3)
| rR(X2,X1,X3) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))']) ).
fof(c_0_18,plain,
( ? [X18] :
( rpoint(X18)
& vd1178 = X18 )
& ? [X17] :
( rpoint(X17)
& vd1179 = X17 )
& ? [X16] :
( rpoint(X16)
& vd1180 = X16 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X15] :
( rpoint(X15)
& vd1185 = X15 )
& ? [X14] :
( rpoint(X14)
& vd1186 = X14 )
& ? [X13] :
( rpoint(X13)
& vd1187 = X13 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X12] :
( rline(X12)
& ron(vd1185,X12)
& ron(vd1186,X12)
& ron(vd1187,X12) ) ),
inference(fof_simplification,[status(thm)],['and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))']) ).
fof(c_0_19,plain,
! [X31,X32] :
( ( ? [X34] :
( rpoint(X34)
& X31 = X34 )
& ? [X33] :
( rpoint(X33)
& X32 = X33 )
& X31 != X32 )
=> ? [X35] :
( rline(X35)
& ron(X31,X35)
& ron(X32,X35) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))']) ).
fof(c_0_20,plain,
! [X755,X756,X757,X758,X759,X760,X761,X762] :
( rR(X757,X755,X756)
| rR(X755,X756,X757)
| rR(X756,X755,X757)
| ~ rpoint(X762)
| X755 != X762
| ~ rpoint(X761)
| X756 != X761
| ~ rpoint(X760)
| X757 != X760
| X755 = X756
| X755 = X757
| X756 = X757
| ~ rline(X759)
| ~ ron(X755,X758)
| ~ ron(X756,X758)
| ~ ron(X757,X758)
| X758 != X759 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
fof(c_0_21,plain,
! [X766] :
( rpoint(esk9_0)
& vd1178 = esk9_0
& rpoint(esk8_0)
& vd1179 = esk8_0
& rpoint(esk7_0)
& vd1180 = esk7_0
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(esk6_0)
& vd1185 = esk6_0
& rpoint(esk5_0)
& vd1186 = esk5_0
& rpoint(esk4_0)
& vd1187 = esk4_0
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ( ~ rline(X766)
| ~ ron(vd1185,X766)
| ~ ron(vd1186,X766)
| ~ ron(vd1187,X766) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])]) ).
fof(c_0_22,plain,
! [X801,X802,X803,X804] :
( ( ~ rpoint(X804)
| X801 != X804
| ~ rpoint(X803)
| X802 != X803
| X801 = X802
| rline(esk10_2(X801,X802)) )
& ( ~ rpoint(X804)
| X801 != X804
| ~ rpoint(X803)
| X802 != X803
| X801 = X802
| ron(X801,esk10_2(X801,X802)) )
& ( ~ rpoint(X804)
| X801 != X804
| ~ rpoint(X803)
| X802 != X803
| X801 = X802
| ron(X802,esk10_2(X801,X802)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])])]) ).
cnf(c_0_23,plain,
( ~ rpoint(X8)
| X5 != X8
| ~ rpoint(X7)
| X4 != X7
| ~ rpoint(X6)
| X3 != X6
| ~ rline(X2)
| ~ ron(X5,X1)
| ~ ron(X4,X1)
| ~ ron(X3,X1)
| X1 != X2
| rR(X3,X5,X4)
| rR(X5,X4,X3)
| rR(X4,X5,X3)
| X5 = X4
| X5 = X3
| X4 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
vd1185 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_26,plain,
( rpoint(esk3_0)
& vd1199 = esk3_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(271)))'])]) ).
fof(c_0_27,plain,
vd1199 != vd1185,
inference(fof_simplification,[status(thm)],['holds(275, 1217, 0)']) ).
fof(c_0_28,plain,
( rpoint(esk2_0)
& vd1200 = esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(271)))'])]) ).
cnf(c_0_29,plain,
( ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| X1 = X2
| rline(esk10_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_30,plain,
! [X441,X442,X443] :
( ( ? [X446] :
( rpoint(X446)
& X441 = X446 )
& ? [X445] :
( rpoint(X445)
& X442 = X445 )
& ? [X444] :
( rpoint(X444)
& X443 = X444 )
& rR(X442,X441,X443) )
=> ( rR(X442,X443,X441)
& X441 != X442
& X441 != X443
& ~ rR(X441,X442,X443) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).
cnf(c_0_31,plain,
( ~ ron(X3,X4)
| ~ ron(X1,X4)
| ~ ron(X2,X4)
| ~ rline(X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| rR(X3,X2,X1)
| rR(X1,X2,X3)
| rR(X2,X1,X3)
| X3 = X1
| X3 = X2
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])])])]) ).
cnf(c_0_32,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']) ).
cnf(c_0_33,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_34,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).
cnf(c_0_35,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
vd1199 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_37,plain,
vd1199 != vd1185,
inference(fof_nnf,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
vd1200 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
vd1200 = vd1186,
inference(split_conjunct,[status(thm)],['holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)']) ).
fof(c_0_40,negated_conjecture,
~ ( rR(vd1185,vd1199,vd1186)
| rR(vd1199,vd1185,vd1186) ),
inference(assume_negation,[status(cth)],['dis(276)']) ).
cnf(c_0_41,plain,
( ~ rline(X1)
| ~ ron(vd1185,X1)
| ~ ron(vd1186,X1)
| ~ ron(vd1187,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_42,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| rline(esk10_2(X1,X2))
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])]) ).
cnf(c_0_43,plain,
( ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| X1 = X2
| ron(X1,esk10_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_44,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_45,plain,
vd1187 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_46,plain,
! [X1225,X1226,X1227,X1228,X1229,X1230] :
( ( ~ rpoint(X1230)
| X1225 != X1230
| ~ rpoint(X1229)
| X1226 != X1229
| ~ rpoint(X1228)
| X1227 != X1228
| ~ rR(X1226,X1225,X1227)
| rR(X1226,X1227,X1225) )
& ( ~ rpoint(X1230)
| X1225 != X1230
| ~ rpoint(X1229)
| X1226 != X1229
| ~ rpoint(X1228)
| X1227 != X1228
| ~ rR(X1226,X1225,X1227)
| X1225 != X1226 )
& ( ~ rpoint(X1230)
| X1225 != X1230
| ~ rpoint(X1229)
| X1226 != X1229
| ~ rpoint(X1228)
| X1227 != X1228
| ~ rR(X1226,X1225,X1227)
| X1225 != X1227 )
& ( ~ rpoint(X1230)
| X1225 != X1230
| ~ rpoint(X1229)
| X1226 != X1229
| ~ rpoint(X1228)
| X1227 != X1228
| ~ rR(X1226,X1225,X1227)
| ~ rR(X1225,X1226,X1227) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])]) ).
cnf(c_0_47,plain,
( ~ ron(X1,vd1197)
| ~ ron(X2,vd1197)
| ~ rpoint(X1)
| ~ rpoint(X2)
| rR(vd1185,X2,X1)
| rR(X2,vd1185,X1)
| rR(X1,vd1185,X2)
| X1 = X2
| X2 = vd1185
| X1 = vd1185 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_48,plain,
ron(vd1199,vd1197),
inference(split_conjunct,[status(thm)],['pred(s1(plural(274)), 0)']) ).
cnf(c_0_49,plain,
rpoint(vd1199),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_50,plain,
vd1199 != vd1185,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_51,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_52,plain,
esk2_0 = vd1186,
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_53,negated_conjecture,
( ~ rR(vd1185,vd1199,vd1186)
& ~ rR(vd1199,vd1185,vd1186) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])]) ).
fof(c_0_54,plain,
~ rR(vd1186,vd1199,vd1185),
inference(fof_simplification,[status(thm)],['neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))']) ).
cnf(c_0_55,plain,
( ~ ron(vd1187,esk10_2(X1,X2))
| ~ ron(vd1186,esk10_2(X1,X2))
| ~ ron(vd1185,esk10_2(X1,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_56,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| ron(X1,esk10_2(X1,X2))
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_43])]) ).
cnf(c_0_57,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_58,plain,
( ~ rpoint(X4)
| X2 != X4
| ~ rpoint(X3)
| X1 != X3
| X2 = X1
| ron(X1,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_59,plain,
( ~ rpoint(X6)
| X3 != X6
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X4)
| X2 != X4
| ~ rR(X1,X3,X2)
| rR(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_60,plain,
( ~ ron(X1,vd1197)
| ~ rpoint(X1)
| rR(X1,vd1185,vd1199)
| rR(vd1199,vd1185,X1)
| rR(vd1185,vd1199,X1)
| X1 = vd1185
| X1 = vd1199 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]),c_0_50]) ).
cnf(c_0_61,plain,
ron(vd1186,vd1197),
inference(split_conjunct,[status(thm)],['pred(s2(plural(269)), 0)']) ).
cnf(c_0_62,plain,
rpoint(vd1186),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_63,negated_conjecture,
~ rR(vd1185,vd1199,vd1186),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,negated_conjecture,
~ rR(vd1199,vd1185,vd1186),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_65,plain,
~ rR(vd1186,vd1199,vd1185),
inference(fof_nnf,[status(thm)],[c_0_54]) ).
cnf(c_0_66,plain,
( ~ ron(vd1186,esk10_2(vd1187,X1))
| ~ ron(vd1185,esk10_2(vd1187,X1))
| ~ rpoint(X1)
| vd1187 = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_67,plain,
( ~ rpoint(X1)
| ~ rpoint(X2)
| ron(X1,esk10_2(X2,X1))
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_58])]) ).
cnf(c_0_68,plain,
( ~ rR(X1,X3,X2)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| rR(X1,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_59])])]) ).
cnf(c_0_69,plain,
( rR(vd1186,vd1185,vd1199)
| vd1186 = vd1199
| vd1186 = vd1185 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]),c_0_63]),c_0_64]) ).
cnf(c_0_70,plain,
~ rR(vd1186,vd1199,vd1185),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_71,plain,
! [X797,X798,X799,X800] :
( ( ~ rpoint(X800)
| X797 != X800
| ~ rpoint(X799)
| X798 != X799
| vf(X797,X798) = v0
| X797 != X798 )
& ( ~ rpoint(X800)
| X797 != X800
| ~ rpoint(X799)
| X798 != X799
| X797 = X798
| vf(X797,X798) != v0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))'])])])])]) ).
fof(c_0_72,plain,
~ ron(vd1187,vd1197),
inference(fof_simplification,[status(thm)],['neg(neg(270))']) ).
cnf(c_0_73,plain,
( ~ ron(vd1185,esk10_2(vd1187,vd1186))
| vd1187 = vd1186 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_62]),c_0_57])]) ).
cnf(c_0_74,plain,
( vd1186 = vd1185
| vd1186 = vd1199 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_33]),c_0_62]),c_0_49])]),c_0_70]) ).
cnf(c_0_75,plain,
( ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| vf(X1,X2) != v0
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_76,plain,
vf(vd1178,vd1179) = vf(vd1199,vd1200),
inference(split_conjunct,[status(thm)],['holds(conjunct1(conjunct2(conjunct2(conjunct2(plural(271))))), 1209, 0)']) ).
cnf(c_0_77,plain,
rpoint(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_78,plain,
vd1178 = esk9_0,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_79,plain,
rpoint(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_80,plain,
vd1179 = esk8_0,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_81,plain,
~ ron(vd1187,vd1197),
inference(fof_nnf,[status(thm)],[c_0_72]) ).
cnf(c_0_82,plain,
( ~ ron(vd1185,esk10_2(vd1187,vd1185))
| vd1187 = vd1185
| vd1186 = vd1199 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_83,plain,
( ~ rpoint(X2)
| ~ rpoint(X1)
| vf(X1,X2) != v0
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_75])]) ).
cnf(c_0_84,plain,
vf(vd1178,vd1179) = vf(vd1199,vd1186),
inference(rw,[status(thm)],[c_0_76,c_0_39]) ).
cnf(c_0_85,plain,
rpoint(vd1178),
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_86,plain,
rpoint(vd1179),
inference(rw,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,plain,
vd1178 != vd1179,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_88,plain,
~ ron(vd1187,vd1197),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_89,plain,
( vd1186 = vd1199
| vd1187 = vd1185 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_67]),c_0_57]),c_0_33])]) ).
cnf(c_0_90,plain,
vf(vd1199,vd1186) != v0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86])]),c_0_87]) ).
cnf(c_0_91,plain,
vd1186 = vd1199,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_32])]) ).
cnf(c_0_92,plain,
( ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| X1 != X2
| vf(X1,X2) = v0 ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_93,plain,
vf(vd1199,vd1199) != v0,
inference(rw,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_94,plain,
( ~ rpoint(X1)
| vf(X1,X1) = v0 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_92])])]) ).
cnf(c_0_95,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO290+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 15:14:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.57/1.96 % Version: 3.5.1
% 10.57/1.96 % Preprocessing class: FSLSSMSMSSSNFFN.
% 10.57/1.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.57/1.96 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.57/1.96 % Starting new_bool_3 with 300s (1) cores
% 10.57/1.96 % Starting new_bool_1 with 300s (1) cores
% 10.57/1.96 % Starting sh5l with 300s (1) cores
% 10.57/1.96 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 90669 completed with status 0
% 10.57/1.96 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 10.57/1.96 % Preprocessing class: FSLSSMSMSSSNFFN.
% 10.57/1.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.57/1.96 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.57/1.96 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.57/1.96 % No SInE strategy applied
% 10.57/1.96 % Search class: FGHSF-FSLM33-SFFFFFNN
% 10.57/1.96 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 10.57/1.96 % Starting SubtermCWHack with 136s (1) cores
% 10.57/1.96 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 10.57/1.96 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 10.57/1.96 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 10.57/1.96 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 10.57/1.96 % G-E--_302_C18_F1_URBAN_S0Y with pid 90678 completed with status 0
% 10.57/1.96 % Result found by G-E--_302_C18_F1_URBAN_S0Y
% 10.57/1.96 % Preprocessing class: FSLSSMSMSSSNFFN.
% 10.57/1.96 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.57/1.96 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.57/1.96 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.57/1.96 % No SInE strategy applied
% 10.57/1.96 % Search class: FGHSF-FSLM33-SFFFFFNN
% 10.57/1.96 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 10.57/1.96 % Starting SubtermCWHack with 136s (1) cores
% 10.57/1.96 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 10.57/1.96 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 10.57/1.96 % Preprocessing time : 0.018 s
% 10.57/1.96
% 10.57/1.96 % Proof found!
% 10.57/1.96 % SZS status Theorem
% 10.57/1.96 % SZS output start CNFRefutation
% See solution above
% 10.57/1.96 % Parsed axioms : 135
% 10.57/1.96 % Removed by relevancy pruning/SinE : 0
% 10.57/1.96 % Initial clauses : 303
% 10.57/1.96 % Removed in clause preprocessing : 2
% 10.57/1.96 % Initial clauses in saturation : 301
% 10.57/1.96 % Processed clauses : 2068
% 10.57/1.96 % ...of these trivial : 43
% 10.57/1.96 % ...subsumed : 712
% 10.57/1.96 % ...remaining for further processing : 1313
% 10.57/1.96 % Other redundant clauses eliminated : 1112
% 10.57/1.96 % Clauses deleted for lack of memory : 0
% 10.57/1.96 % Backward-subsumed : 42
% 10.57/1.96 % Backward-rewritten : 187
% 10.57/1.96 % Generated clauses : 15087
% 10.57/1.96 % ...of the previous two non-redundant : 14261
% 10.57/1.96 % ...aggressively subsumed : 0
% 10.57/1.96 % Contextual simplify-reflections : 106
% 10.57/1.96 % Paramodulations : 14831
% 10.57/1.96 % Factorizations : 1
% 10.57/1.96 % NegExts : 0
% 10.57/1.96 % Equation resolutions : 1127
% 10.57/1.96 % Disequality decompositions : 0
% 10.57/1.96 % Total rewrite steps : 7866
% 10.57/1.96 % ...of those cached : 7811
% 10.57/1.96 % Propositional unsat checks : 0
% 10.57/1.96 % Propositional check models : 0
% 10.57/1.96 % Propositional check unsatisfiable : 0
% 10.57/1.96 % Propositional clauses : 0
% 10.57/1.96 % Propositional clauses after purity: 0
% 10.57/1.96 % Propositional unsat core size : 0
% 10.57/1.96 % Propositional preprocessing time : 0.000
% 10.57/1.96 % Propositional encoding time : 0.000
% 10.57/1.96 % Propositional solver time : 0.000
% 10.57/1.96 % Success case prop preproc time : 0.000
% 10.57/1.96 % Success case prop encoding time : 0.000
% 10.57/1.96 % Success case prop solver time : 0.000
% 10.57/1.96 % Current number of processed clauses : 844
% 10.57/1.96 % Positive orientable unit clauses : 45
% 10.57/1.96 % Positive unorientable unit clauses: 0
% 10.57/1.96 % Negative unit clauses : 15
% 10.57/1.96 % Non-unit-clauses : 784
% 10.57/1.96 % Current number of unprocessed clauses: 12349
% 10.57/1.96 % ...number of literals in the above : 200019
% 10.57/1.96 % Current number of archived formulas : 0
% 10.57/1.96 % Current number of archived clauses : 229
% 10.57/1.96 % Clause-clause subsumption calls (NU) : 641551
% 10.57/1.96 % Rec. Clause-clause subsumption calls : 21784
% 10.57/1.96 % Non-unit clause-clause subsumptions : 792
% 10.57/1.96 % Unit Clause-clause subsumption calls : 2138
% 10.57/1.96 % Rewrite failures with RHS unbound : 0
% 10.57/1.96 % BW rewrite match attempts : 5
% 10.57/1.96 % BW rewrite match successes : 5
% 10.57/1.96 % Condensation attempts : 0
% 10.57/1.96 % Condensation successes : 0
% 10.57/1.96 % Termbank termtop insertions : 639959
% 10.57/1.96 % Search garbage collected termcells : 14351
% 10.57/1.96
% 10.57/1.96 % -------------------------------------------------
% 10.57/1.96 % User time : 1.467 s
% 10.57/1.96 % System time : 0.041 s
% 10.57/1.96 % Total time : 1.508 s
% 10.57/1.96 % Maximum resident set size: 6284 pages
% 10.57/1.96
% 10.57/1.96 % -------------------------------------------------
% 10.57/1.96 % User time : 6.278 s
% 10.57/1.96 % System time : 0.173 s
% 10.57/1.96 % Total time : 6.452 s
% 10.57/1.96 % Maximum resident set size: 5632 pages
% 10.57/1.96 % E exiting
%------------------------------------------------------------------------------