TSTP Solution File: GEO298+1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GEO298+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : Mon May 20 20:01:54 EDT 2024
% Result : Theorem 9.55s 1.70s
% Output : CNFRefutation 9.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 81 ( 36 unt; 0 def)
% Number of atoms : 457 ( 164 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 603 ( 227 ~; 211 |; 155 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 200 ( 0 sgn 86 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))',axiom,
! [X1,X2,X3,X4,X5] :
( ( X4 = X5
& ron(X3,X4)
& ron(X2,X4)
& ron(X1,X4)
& rline(X5)
& X2 != X3
& X1 != X3
& X1 != X2
& ? [X6] :
( X3 = X6
& rpoint(X6) )
& ? [X7] :
( X2 = X7
& rpoint(X7) )
& ? [X8] :
( X1 = X8
& rpoint(X8) ) )
=> ( rR(X2,X1,X3)
| rR(X1,X2,X3)
| rR(X3,X1,X2) ) ),
file('/export/starexec/sandbox/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,
( ~ ? [X10] :
( ron(vd1187,X10)
& ron(vd1186,X10)
& ron(vd1185,X10)
& rline(X10) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X11] :
( vd1187 = X11
& rpoint(X11) )
& ? [X12] :
( vd1186 = X12
& rpoint(X12) )
& ? [X13] :
( vd1185 = X13
& rpoint(X13) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X14] :
( vd1180 = X14
& rpoint(X14) )
& ? [X15] :
( vd1179 = X15
& rpoint(X15) )
& ? [X16] :
( vd1178 = X16
& rpoint(X16) ) ),
file('/export/starexec/sandbox/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(109), 0), imp(cond(axiom(109), 0)))',axiom,
! [X17,X18,X19,X20,X21] :
( ( ron(X18,X20)
& rR(X18,X17,X19)
& X20 = X21
& rline(X21)
& ? [X22] :
( X19 = X22
& rpoint(X22) )
& ? [X23] :
( X18 = X23
& rpoint(X23) )
& ? [X24] :
( X17 = X24
& rpoint(X24) ) )
=> ~ rS(X17,X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))') ).
fof('qe(s3(plural(271)))',axiom,
? [X9] :
( vd1201 = X9
& rpoint(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof('holds(320, 1251, 0)',axiom,
vd1201 != vd1187,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(320, 1251, 0)') ).
fof('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))',axiom,
! [X74,X75,X76,X77] :
( ( rS(X74,X75,X76)
& X76 = X77
& rline(X77)
& ? [X78] :
( X75 = X78
& rpoint(X78) )
& ? [X79] :
( X74 = X79
& rpoint(X79) ) )
=> ~ ron(X74,X76) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof('qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))',axiom,
! [X276,X277,X278] :
( ( rR(X277,X276,X278)
& ? [X279] :
( X278 = X279
& rpoint(X279) )
& ? [X280] :
( X277 = X280
& rpoint(X280) )
& ? [X281] :
( X276 = X281
& rpoint(X281) ) )
=> ( ~ rR(X276,X277,X278)
& X276 != X278
& X276 != X277
& rR(X277,X278,X276) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof('pred(s3(plural(315)), 0)',axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s3(plural(315)), 0)') ).
fof('pred(293, 0)',axiom,
rline(vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(293, 0)') ).
fof('holds(295, 1236, 0)',axiom,
rS(vd1187,vd1201,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(295, 1236, 0)') ).
fof('pred(269, 0)',axiom,
rline(vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(269, 0)') ).
fof('qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))',axiom,
! [X52,X53,X54,X55] :
( ( rS(X52,X53,X54)
& X54 = X55
& rline(X55)
& ? [X56] :
( X53 = X56
& rpoint(X56) )
& ? [X57] :
( X52 = X57
& rpoint(X57) ) )
=> rS(X53,X52,X54) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))') ).
fof('qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))',axiom,
! [X432,X433,X434,X435,X436] :
( ( rS(X432,X434,X435)
& rS(X432,X433,X435)
& X435 = X436
& rline(X436)
& ? [X437] :
( X434 = X437
& rpoint(X437) )
& ? [X438] :
( X433 = X438
& rpoint(X438) )
& ? [X439] :
( X432 = X439
& rpoint(X439) ) )
=> rS(X433,X434,X435) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))') ).
fof('pred(s2(plural(315)), 0)',axiom,
ron(vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(315)), 0)') ).
fof('pred(s3(plural(274)), 0)',axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s3(plural(274)), 0)') ).
fof('dis(321)',conjecture,
( rR(vd1201,vd1185,vd1187)
| rR(vd1187,vd1185,vd1201) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dis(321)') ).
fof('pred(s1(plural(315)), 0)',axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(315)), 0)') ).
fof('holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)',axiom,
rS(vd1201,vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof(c_0_18,plain,
! [X1,X2,X3,X4,X5] :
( ( X4 = X5
& ron(X3,X4)
& ron(X2,X4)
& ron(X1,X4)
& rline(X5)
& X2 != X3
& X1 != X3
& X1 != X2
& ? [X6] :
( X3 = X6
& rpoint(X6) )
& ? [X7] :
( X2 = X7
& rpoint(X7) )
& ? [X8] :
( X1 = X8
& rpoint(X8) ) )
=> ( rR(X2,X1,X3)
| rR(X1,X2,X3)
| rR(X3,X1,X2) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))']) ).
fof(c_0_19,plain,
( ~ ? [X10] :
( ron(vd1187,X10)
& ron(vd1186,X10)
& ron(vd1185,X10)
& rline(X10) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X11] :
( vd1187 = X11
& rpoint(X11) )
& ? [X12] :
( vd1186 = X12
& rpoint(X12) )
& ? [X13] :
( vd1185 = X13
& rpoint(X13) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X14] :
( vd1180 = X14
& rpoint(X14) )
& ? [X15] :
( vd1179 = X15
& rpoint(X15) )
& ? [X16] :
( vd1178 = X16
& rpoint(X16) ) ),
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_20,plain,
! [X17,X18,X19,X20,X21] :
( ( ron(X18,X20)
& rR(X18,X17,X19)
& X20 = X21
& rline(X21)
& ? [X22] :
( X19 = X22
& rpoint(X22) )
& ? [X23] :
( X18 = X23
& rpoint(X23) )
& ? [X24] :
( X17 = X24
& rpoint(X24) ) )
=> ~ rS(X17,X19,X20) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))']) ).
fof(c_0_21,plain,
! [X755,X756,X757,X758,X759,X760,X761,X762] :
( X758 != X759
| ~ ron(X757,X758)
| ~ ron(X756,X758)
| ~ ron(X755,X758)
| ~ rline(X759)
| X756 = X757
| X755 = X757
| X755 = X756
| X757 != X760
| ~ rpoint(X760)
| X756 != X761
| ~ rpoint(X761)
| X755 != X762
| ~ rpoint(X762)
| rR(X756,X755,X757)
| rR(X755,X756,X757)
| rR(X757,X755,X756) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_22,plain,
! [X998] :
( ( ~ ron(vd1187,X998)
| ~ ron(vd1186,X998)
| ~ ron(vd1185,X998)
| ~ rline(X998) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = esk12_0
& rpoint(esk12_0)
& vd1186 = esk13_0
& rpoint(esk13_0)
& vd1185 = esk14_0
& rpoint(esk14_0)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = esk15_0
& rpoint(esk15_0)
& vd1179 = esk16_0
& rpoint(esk16_0)
& vd1178 = esk17_0
& rpoint(esk17_0) ),
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])])])])]) ).
fof(c_0_23,plain,
! [X763,X764,X765,X766,X767,X768,X769,X770] :
( ~ ron(X764,X766)
| ~ rR(X764,X763,X765)
| X766 != X767
| ~ rline(X767)
| X765 != X768
| ~ rpoint(X768)
| X764 != X769
| ~ rpoint(X769)
| X763 != X770
| ~ rpoint(X770)
| ~ rS(X763,X765,X766) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
fof(c_0_24,plain,
( vd1201 = esk11_0
& rpoint(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).
cnf(c_0_25,plain,
( X4 = X3
| X5 = X3
| X5 = X4
| rR(X4,X5,X3)
| rR(X5,X4,X3)
| rR(X3,X5,X4)
| X1 != X2
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ ron(X5,X1)
| ~ rline(X2)
| X3 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X5 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
rpoint(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
vd1187 = esk12_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
vd1201 != vd1187,
inference(fof_simplification,[status(thm)],['holds(320, 1251, 0)']) ).
cnf(c_0_29,plain,
( ~ ron(X1,X2)
| ~ rR(X1,X3,X4)
| X2 != X5
| ~ rline(X5)
| X4 != X6
| ~ rpoint(X6)
| X1 != X7
| ~ rpoint(X7)
| X3 != X8
| ~ rpoint(X8)
| ~ rS(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
rpoint(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
vd1201 = esk11_0,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_32,plain,
! [X74,X75,X76,X77] :
( ( rS(X74,X75,X76)
& X76 = X77
& rline(X77)
& ? [X78] :
( X75 = X78
& rpoint(X78) )
& ? [X79] :
( X74 = X79
& rpoint(X79) ) )
=> ~ ron(X74,X76) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))']) ).
fof(c_0_33,plain,
! [X276,X277,X278] :
( ( rR(X277,X276,X278)
& ? [X279] :
( X278 = X279
& rpoint(X279) )
& ? [X280] :
( X277 = X280
& rpoint(X280) )
& ? [X281] :
( X276 = X281
& rpoint(X281) ) )
=> ( ~ rR(X276,X277,X278)
& X276 != X278
& X276 != X277
& rR(X277,X278,X276) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))']) ).
cnf(c_0_34,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| rR(X2,X1,X3)
| rR(X1,X2,X3)
| rR(X3,X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rline(X4)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X3,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_25])])])]) ).
cnf(c_0_35,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],['pred(s3(plural(315)), 0)']) ).
cnf(c_0_36,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_37,plain,
rline(vd1232),
inference(split_conjunct,[status(thm)],['pred(293, 0)']) ).
fof(c_0_38,plain,
vd1201 != vd1187,
inference(fof_nnf,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
( ~ rS(X1,X2,X3)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rline(X3)
| ~ ron(X4,X3)
| ~ rR(X4,X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])])])]) ).
cnf(c_0_40,plain,
rS(vd1187,vd1201,vd1197),
inference(split_conjunct,[status(thm)],['holds(295, 1236, 0)']) ).
cnf(c_0_41,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_42,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).
cnf(c_0_43,plain,
rpoint(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_44,plain,
vd1185 = esk14_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_45,plain,
! [X1016,X1017,X1018,X1019,X1020,X1021] :
( ~ rS(X1016,X1017,X1018)
| X1018 != X1019
| ~ rline(X1019)
| X1017 != X1020
| ~ rpoint(X1020)
| X1016 != X1021
| ~ rpoint(X1021)
| ~ ron(X1016,X1018) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
fof(c_0_46,plain,
! [X1010,X1011,X1012,X1013,X1014,X1015] :
( ~ rS(X1010,X1011,X1012)
| X1012 != X1013
| ~ rline(X1013)
| X1011 != X1014
| ~ rpoint(X1014)
| X1010 != X1015
| ~ rpoint(X1015)
| rS(X1011,X1010,X1012) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))'])])])]) ).
fof(c_0_47,plain,
! [X1085,X1086,X1087,X1088,X1089,X1090,X1091,X1092] :
( ~ rS(X1085,X1087,X1088)
| ~ rS(X1085,X1086,X1088)
| X1088 != X1089
| ~ rline(X1089)
| X1087 != X1090
| ~ rpoint(X1090)
| X1086 != X1091
| ~ rpoint(X1091)
| X1085 != X1092
| ~ rpoint(X1092)
| rS(X1086,X1087,X1088) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))'])])])]) ).
fof(c_0_48,plain,
! [X893,X894,X895,X896,X897,X898] :
( ( ~ rR(X893,X894,X895)
| ~ rR(X894,X893,X895)
| X895 != X896
| ~ rpoint(X896)
| X894 != X897
| ~ rpoint(X897)
| X893 != X898
| ~ rpoint(X898) )
& ( X893 != X895
| ~ rR(X894,X893,X895)
| X895 != X896
| ~ rpoint(X896)
| X894 != X897
| ~ rpoint(X897)
| X893 != X898
| ~ rpoint(X898) )
& ( X893 != X894
| ~ rR(X894,X893,X895)
| X895 != X896
| ~ rpoint(X896)
| X894 != X897
| ~ rpoint(X897)
| X893 != X898
| ~ rpoint(X898) )
& ( rR(X894,X895,X893)
| ~ rR(X894,X893,X895)
| X895 != X896
| ~ rpoint(X896)
| X894 != X897
| ~ rpoint(X897)
| X893 != X898
| ~ rpoint(X898) ) ),
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_33])])])])]) ).
cnf(c_0_49,plain,
( X1 = vd1187
| X2 = vd1187
| X2 = X1
| rR(vd1187,X1,X2)
| rR(X1,vd1187,X2)
| rR(X2,vd1187,X1)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,vd1232)
| ~ ron(X2,vd1232) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37])]) ).
cnf(c_0_50,plain,
ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],['pred(s2(plural(315)), 0)']) ).
cnf(c_0_51,plain,
vd1201 != vd1187,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_52,plain,
( ~ rpoint(X1)
| ~ ron(X1,vd1197)
| ~ rR(X1,vd1187,vd1201) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_36]),c_0_41]),c_0_42])]) ).
cnf(c_0_53,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']) ).
cnf(c_0_54,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_55,negated_conjecture,
~ ( rR(vd1201,vd1185,vd1187)
| rR(vd1187,vd1185,vd1201) ),
inference(assume_negation,[status(cth)],['dis(321)']) ).
cnf(c_0_56,plain,
( ~ rS(X1,X2,X3)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| ~ ron(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,plain,
( rS(X2,X1,X3)
| ~ rS(X1,X2,X3)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
( rS(X4,X2,X3)
| ~ rS(X1,X2,X3)
| ~ rS(X1,X4,X3)
| X3 != X5
| ~ rline(X5)
| X2 != X6
| ~ rpoint(X6)
| X4 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_59,plain,
( rR(X1,X2,X3)
| ~ rR(X1,X3,X2)
| X2 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_60,plain,
( X1 = vd1201
| X1 = vd1187
| rR(X1,vd1187,vd1201)
| rR(vd1201,vd1187,X1)
| rR(vd1187,vd1201,X1)
| ~ rpoint(X1)
| ~ ron(X1,vd1232) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_41])]),c_0_51]) ).
cnf(c_0_61,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],['pred(s1(plural(315)), 0)']) ).
cnf(c_0_62,plain,
~ rR(vd1185,vd1187,vd1201),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
fof(c_0_63,negated_conjecture,
( ~ rR(vd1201,vd1185,vd1187)
& ~ rR(vd1187,vd1185,vd1201) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])]) ).
cnf(c_0_64,plain,
( ~ rS(X1,X2,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X3)
| ~ ron(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_56])])]) ).
cnf(c_0_65,plain,
( rS(X1,X2,X3)
| ~ rS(X2,X1,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_57])])]) ).
cnf(c_0_66,plain,
( rS(X1,X2,X3)
| ~ rS(X4,X1,X3)
| ~ rS(X4,X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_58])])])]) ).
cnf(c_0_67,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']) ).
cnf(c_0_68,plain,
( rR(X1,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rR(X1,X3,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_59])])]) ).
cnf(c_0_69,plain,
( vd1187 = vd1185
| vd1201 = vd1185
| rR(vd1187,vd1201,vd1185)
| rR(vd1201,vd1187,vd1185) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_54])]),c_0_62]) ).
cnf(c_0_70,negated_conjecture,
~ rR(vd1187,vd1185,vd1201),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_71,plain,
( ~ rS(X1,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X3)
| ~ ron(X2,X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,plain,
( rS(vd1187,X1,vd1197)
| ~ rS(vd1201,X1,vd1197)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_41]),c_0_36]),c_0_42])]) ).
cnf(c_0_73,plain,
( vd1201 = vd1185
| vd1187 = vd1185
| rR(vd1201,vd1187,vd1185) ),
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_41]),c_0_36]),c_0_54])]),c_0_70]) ).
cnf(c_0_74,negated_conjecture,
~ rR(vd1201,vd1185,vd1187),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_75,plain,
( ~ rS(vd1201,X1,vd1197)
| ~ rpoint(X1)
| ~ ron(X1,vd1197) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_36]),c_0_42])]) ).
cnf(c_0_76,plain,
( vd1187 = vd1185
| vd1201 = vd1185 ),
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_73]),c_0_36]),c_0_41]),c_0_54])]),c_0_74]) ).
cnf(c_0_77,plain,
~ rS(vd1201,vd1185,vd1197),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_53]),c_0_54])]) ).
cnf(c_0_78,plain,
~ ron(vd1201,vd1197),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_67]),c_0_41]),c_0_36]),c_0_42])]) ).
cnf(c_0_79,plain,
vd1201 = vd1185,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_76]),c_0_77]) ).
cnf(c_0_80,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO298+1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 14:01:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.55/1.70 # Version: 3.1.0
% 9.55/1.70 # Preprocessing class: FSLSSMSMSSSNFFN.
% 9.55/1.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.55/1.70 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 9.55/1.70 # Starting new_bool_3 with 300s (1) cores
% 9.55/1.70 # Starting new_bool_1 with 300s (1) cores
% 9.55/1.70 # Starting sh5l with 300s (1) cores
% 9.55/1.70 # sh5l with pid 7432 completed with status 0
% 9.55/1.70 # Result found by sh5l
% 9.55/1.70 # Preprocessing class: FSLSSMSMSSSNFFN.
% 9.55/1.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.55/1.70 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 9.55/1.70 # Starting new_bool_3 with 300s (1) cores
% 9.55/1.70 # Starting new_bool_1 with 300s (1) cores
% 9.55/1.70 # Starting sh5l with 300s (1) cores
% 9.55/1.70 # SinE strategy is gf500_gu_R04_F100_L20000
% 9.55/1.70 # Search class: FGHSF-FSLM33-SFFFFFNN
% 9.55/1.70 # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 9.55/1.70 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 55s (1) cores
% 9.55/1.70 # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with pid 7440 completed with status 0
% 9.55/1.70 # Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U
% 9.55/1.70 # Preprocessing class: FSLSSMSMSSSNFFN.
% 9.55/1.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.55/1.70 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 9.55/1.70 # Starting new_bool_3 with 300s (1) cores
% 9.55/1.70 # Starting new_bool_1 with 300s (1) cores
% 9.55/1.70 # Starting sh5l with 300s (1) cores
% 9.55/1.70 # SinE strategy is gf500_gu_R04_F100_L20000
% 9.55/1.70 # Search class: FGHSF-FSLM33-SFFFFFNN
% 9.55/1.70 # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 9.55/1.70 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 55s (1) cores
% 9.55/1.70 # Preprocessing time : 0.016 s
% 9.55/1.70 # Presaturation interreduction done
% 9.55/1.70
% 9.55/1.70 # Proof found!
% 9.55/1.70 # SZS status Theorem
% 9.55/1.70 # SZS output start CNFRefutation
% See solution above
% 9.55/1.70 # Parsed axioms : 158
% 9.55/1.70 # Removed by relevancy pruning/SinE : 8
% 9.55/1.70 # Initial clauses : 310
% 9.55/1.70 # Removed in clause preprocessing : 2
% 9.55/1.70 # Initial clauses in saturation : 308
% 9.55/1.70 # Processed clauses : 6494
% 9.55/1.70 # ...of these trivial : 63
% 9.55/1.70 # ...subsumed : 3455
% 9.55/1.70 # ...remaining for further processing : 2976
% 9.55/1.70 # Other redundant clauses eliminated : 1094
% 9.55/1.70 # Clauses deleted for lack of memory : 0
% 9.55/1.70 # Backward-subsumed : 256
% 9.55/1.70 # Backward-rewritten : 903
% 9.55/1.70 # Generated clauses : 33025
% 9.55/1.70 # ...of the previous two non-redundant : 31367
% 9.55/1.70 # ...aggressively subsumed : 0
% 9.55/1.70 # Contextual simplify-reflections : 441
% 9.55/1.70 # Paramodulations : 32748
% 9.55/1.70 # Factorizations : 28
% 9.55/1.70 # NegExts : 0
% 9.55/1.70 # Equation resolutions : 1112
% 9.55/1.70 # Disequality decompositions : 0
% 9.55/1.70 # Total rewrite steps : 40509
% 9.55/1.70 # ...of those cached : 40391
% 9.55/1.70 # Propositional unsat checks : 0
% 9.55/1.70 # Propositional check models : 0
% 9.55/1.70 # Propositional check unsatisfiable : 0
% 9.55/1.70 # Propositional clauses : 0
% 9.55/1.70 # Propositional clauses after purity: 0
% 9.55/1.70 # Propositional unsat core size : 0
% 9.55/1.70 # Propositional preprocessing time : 0.000
% 9.55/1.70 # Propositional encoding time : 0.000
% 9.55/1.70 # Propositional solver time : 0.000
% 9.55/1.70 # Success case prop preproc time : 0.000
% 9.55/1.70 # Success case prop encoding time : 0.000
% 9.55/1.70 # Success case prop solver time : 0.000
% 9.55/1.70 # Current number of processed clauses : 1302
% 9.55/1.70 # Positive orientable unit clauses : 76
% 9.55/1.70 # Positive unorientable unit clauses: 0
% 9.55/1.70 # Negative unit clauses : 69
% 9.55/1.70 # Non-unit-clauses : 1157
% 9.55/1.70 # Current number of unprocessed clauses: 24489
% 9.55/1.70 # ...number of literals in the above : 228607
% 9.55/1.70 # Current number of archived formulas : 0
% 9.55/1.70 # Current number of archived clauses : 1443
% 9.55/1.70 # Clause-clause subsumption calls (NU) : 1238380
% 9.55/1.70 # Rec. Clause-clause subsumption calls : 114637
% 9.55/1.70 # Non-unit clause-clause subsumptions : 2742
% 9.55/1.70 # Unit Clause-clause subsumption calls : 33102
% 9.55/1.70 # Rewrite failures with RHS unbound : 0
% 9.55/1.70 # BW rewrite match attempts : 202
% 9.55/1.70 # BW rewrite match successes : 9
% 9.55/1.70 # Condensation attempts : 0
% 9.55/1.70 # Condensation successes : 0
% 9.55/1.70 # Termbank termtop insertions : 1021189
% 9.55/1.70 # Search garbage collected termcells : 14047
% 9.55/1.70
% 9.55/1.70 # -------------------------------------------------
% 9.55/1.70 # User time : 1.141 s
% 9.55/1.70 # System time : 0.045 s
% 9.55/1.70 # Total time : 1.186 s
% 9.55/1.70 # Maximum resident set size: 4396 pages
% 9.55/1.70
% 9.55/1.70 # -------------------------------------------------
% 9.55/1.70 # User time : 1.149 s
% 9.55/1.70 # System time : 0.048 s
% 9.55/1.70 # Total time : 1.198 s
% 9.55/1.70 # Maximum resident set size: 2580 pages
% 9.55/1.70 % E---3.1 exiting
%------------------------------------------------------------------------------