%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO294+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 2.79s 0.82s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 66 ( 41 unt; 0 def)
% Number of atoms : 334 ( 138 equ)
% Maximal formula atoms : 43 ( 5 avg)
% Number of connectives : 418 ( 150 ~; 136 |; 124 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-3 aty)
% Number of variables : 119 ( 0 sgn 55 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))',axiom,
! [X331,X332,X333,X334] :
( ( ? [X338] :
( rpoint(X338)
& X331 = X338 )
& ? [X337] :
( rpoint(X337)
& X332 = X337 )
& X331 != X332
& ? [X336] :
( rline(X336)
& X333 = X336 )
& ? [X335] :
( rline(X335)
& X334 = X335 )
& ron(X331,X333)
& ron(X331,X334)
& ron(X332,X333)
& ron(X332,X334) )
=> X333 = X334 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 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,
( ? [X15] :
( rpoint(X15)
& vd1178 = X15 )
& ? [X14] :
( rpoint(X14)
& vd1179 = X14 )
& ? [X13] :
( rpoint(X13)
& vd1180 = X13 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X12] :
( rpoint(X12)
& vd1185 = X12 )
& ? [X11] :
( rpoint(X11)
& vd1186 = X11 )
& ? [X10] :
( rpoint(X10)
& vd1187 = X10 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X9] :
( rline(X9)
& ron(vd1185,X9)
& ron(vd1186,X9)
& ron(vd1187,X9) ) ),
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(188), 0), imp(cond(axiom(188), 0)))',axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8] :
( ( rpoint(X2)
& X1 = X2
& rpoint(X4)
& X3 = X4
& rpoint(X6)
& X5 = X6
& rline(X8)
& X7 = X8
& X1 != X3
& X1 != X5
& ron(X1,X7)
& ron(X3,X7) )
=> ( ( ron(X5,X7)
& ~ rR(X1,X3,X5) )
<=> vangle(X3,X1,X5) = v0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof('qe(s3(plural(271)))',axiom,
? [X18] :
( rpoint(X18)
& vd1201 = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof('pred(s1(plural(293)), 0)',axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).
fof('pred(293, 0)',axiom,
rline(vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(293, 0)') ).
fof('pred(303, 0)',conjecture,
ron(vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(303, 0)') ).
fof('qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))',axiom,
! [X257,X258,X259,X260] :
( ( ? [X262] :
( rpoint(X262)
& X257 = X262 )
& ? [X261] :
( rpoint(X261)
& X258 = X261 )
& rline(X260)
& X259 = X260
& rS(X257,X258,X259) )
=> ~ ron(X257,X259) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof('pred(s1(plural(294)), 0)',axiom,
ron(vd1185,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(294)), 0)') ).
fof('pred(294, 0)',axiom,
rline(vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(294, 0)') ).
fof('holds(302, 1241, 0)',axiom,
vangle(vd1201,vd1185,vd1187) = v0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(302, 1241, 0)') ).
fof('neg(neg(270))',axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(270))') ).
fof('pred(s2(plural(293)), 0)',axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).
fof('pred(s2(plural(294)), 0)',axiom,
ron(vd1201,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(294)), 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('pred(269, 0)',axiom,
rline(vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(269, 0)') ).
fof('pred(s3(plural(274)), 0)',axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s3(plural(274)), 0)') ).
fof(c_0_17,plain,
! [X331,X332,X333,X334] :
( ( ? [X338] :
( rpoint(X338)
& X331 = X338 )
& ? [X337] :
( rpoint(X337)
& X332 = X337 )
& X331 != X332
& ? [X336] :
( rline(X336)
& X333 = X336 )
& ? [X335] :
( rline(X335)
& X334 = X335 )
& ron(X331,X333)
& ron(X331,X334)
& ron(X332,X333)
& ron(X332,X334) )
=> X333 = X334 ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))']) ).
fof(c_0_18,plain,
( ? [X15] :
( rpoint(X15)
& vd1178 = X15 )
& ? [X14] :
( rpoint(X14)
& vd1179 = X14 )
& ? [X13] :
( rpoint(X13)
& vd1180 = X13 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X12] :
( rpoint(X12)
& vd1185 = X12 )
& ? [X11] :
( rpoint(X11)
& vd1186 = X11 )
& ? [X10] :
( rpoint(X10)
& vd1187 = X10 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X9] :
( rline(X9)
& ron(vd1185,X9)
& ron(vd1186,X9)
& ron(vd1187,X9) ) ),
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,
! [X1085,X1086,X1087,X1088,X1089,X1090,X1091,X1092] :
( X1087 = X1088
| ~ rpoint(X1092)
| X1085 != X1092
| ~ rpoint(X1091)
| X1086 != X1091
| X1085 = X1086
| ~ rline(X1090)
| X1087 != X1090
| ~ rline(X1089)
| X1088 != X1089
| ~ ron(X1085,X1087)
| ~ ron(X1085,X1088)
| ~ ron(X1086,X1087)
| ~ ron(X1086,X1088) ),
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_20,plain,
! [X763] :
( rpoint(esk6_0)
& vd1178 = esk6_0
& rpoint(esk5_0)
& vd1179 = esk5_0
& rpoint(esk4_0)
& vd1180 = esk4_0
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(esk3_0)
& vd1185 = esk3_0
& rpoint(esk2_0)
& vd1186 = esk2_0
& rpoint(esk1_0)
& vd1187 = esk1_0
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ( ~ rline(X763)
| ~ ron(vd1185,X763)
| ~ ron(vd1186,X763)
| ~ ron(vd1187,X763) ) ),
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_21,plain,
! [X1,X2,X3,X4,X5,X6,X7,X8] :
( ( rpoint(X2)
& X1 = X2
& rpoint(X4)
& X3 = X4
& rpoint(X6)
& X5 = X6
& rline(X8)
& X7 = X8
& X1 != X3
& X1 != X5
& ron(X1,X7)
& ron(X3,X7) )
=> ( ( ron(X5,X7)
& ~ rR(X1,X3,X5) )
<=> vangle(X3,X1,X5) = v0 ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))']) ).
cnf(c_0_22,plain,
( ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X1 != X7
| ~ rline(X6)
| X3 != X6
| ~ rline(X5)
| X2 != X5
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| X3 = X2
| X4 = X1 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
vd1185 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_25,plain,
! [X755,X756,X757,X758,X759,X760,X761,X762] :
( ( ~ rpoint(X756)
| X755 != X756
| ~ rpoint(X758)
| X757 != X758
| ~ rpoint(X760)
| X759 != X760
| ~ rline(X762)
| X761 != X762
| X755 = X757
| X755 = X759
| ~ ron(X755,X761)
| ~ ron(X757,X761)
| vangle(X757,X755,X759) != v0
| ron(X759,X761) )
& ( ~ rpoint(X756)
| X755 != X756
| ~ rpoint(X758)
| X757 != X758
| ~ rpoint(X760)
| X759 != X760
| ~ rline(X762)
| X761 != X762
| X755 = X757
| X755 = X759
| ~ ron(X755,X761)
| ~ ron(X757,X761)
| vangle(X757,X755,X759) != v0
| ~ rR(X755,X757,X759) )
& ( ~ rpoint(X756)
| X755 != X756
| ~ rpoint(X758)
| X757 != X758
| ~ rpoint(X760)
| X759 != X760
| ~ rline(X762)
| X761 != X762
| X755 = X757
| X755 = X759
| ~ ron(X755,X761)
| ~ ron(X757,X761)
| vangle(X757,X755,X759) = v0
| ~ ron(X759,X761)
| rR(X755,X757,X759) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_26,plain,
( rpoint(esk7_0)
& vd1201 = esk7_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).
cnf(c_0_27,plain,
( ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X1)
| ~ ron(X4,X2)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_22])])])]) ).
cnf(c_0_28,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],['pred(s1(plural(293)), 0)']) ).
cnf(c_0_29,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
rline(vd1232),
inference(split_conjunct,[status(thm)],['pred(293, 0)']) ).
cnf(c_0_31,plain,
( ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rline(X5)
| X2 != X5
| ~ ron(X4,X2)
| ~ ron(X3,X2)
| vangle(X3,X4,X1) != v0
| X4 = X3
| X4 = X1
| ron(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
rpoint(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
vd1201 = esk7_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35,plain,
vd1187 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_36,negated_conjecture,
~ ron(vd1201,vd1232),
inference(assume_negation,[status(cth)],['pred(303, 0)']) ).
fof(c_0_37,plain,
! [X257,X258,X259,X260] :
( ( ? [X262] :
( rpoint(X262)
& X257 = X262 )
& ? [X261] :
( rpoint(X261)
& X258 = X261 )
& rline(X260)
& X259 = X260
& rS(X257,X258,X259) )
=> ~ ron(X257,X259) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))']) ).
cnf(c_0_38,plain,
( ~ ron(X2,X1)
| ~ ron(X2,vd1232)
| ~ ron(vd1185,X1)
| ~ rline(X1)
| ~ rpoint(X2)
| X2 = vd1185
| X1 = vd1232 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]) ).
cnf(c_0_39,plain,
ron(vd1185,vd1234),
inference(split_conjunct,[status(thm)],['pred(s1(plural(294)), 0)']) ).
cnf(c_0_40,plain,
rline(vd1234),
inference(split_conjunct,[status(thm)],['pred(294, 0)']) ).
cnf(c_0_41,plain,
( ~ ron(X1,X4)
| ~ ron(X2,X4)
| ~ rline(X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vangle(X1,X2,X3) != v0
| ron(X3,X4)
| X3 = X2
| X1 = X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_31])])])]) ).
cnf(c_0_42,plain,
vangle(vd1201,vd1185,vd1187) = v0,
inference(split_conjunct,[status(thm)],['holds(302, 1241, 0)']) ).
cnf(c_0_43,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_44,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_45,negated_conjecture,
~ ron(vd1201,vd1232),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_46,plain,
! [X1011,X1012,X1013,X1014,X1015,X1016] :
( ~ ron(X1011,X1013)
| ~ rpoint(X1016)
| X1011 != X1016
| ~ rpoint(X1015)
| X1012 != X1015
| ~ rline(X1014)
| X1013 != X1014
| ~ rS(X1011,X1012,X1013) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
fof(c_0_47,plain,
~ ron(vd1187,vd1197),
inference(fof_simplification,[status(thm)],['neg(neg(270))']) ).
cnf(c_0_48,plain,
( ~ ron(X1,vd1234)
| ~ ron(X1,vd1232)
| ~ rpoint(X1)
| X1 = vd1185
| vd1234 = vd1232 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_49,plain,
( ~ ron(vd1201,X1)
| ~ ron(vd1185,X1)
| ~ rline(X1)
| ron(vd1187,X1)
| vd1187 = vd1185
| vd1201 = vd1185 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_29]),c_0_43]),c_0_44])]) ).
cnf(c_0_50,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],['pred(s2(plural(293)), 0)']) ).
cnf(c_0_51,plain,
ron(vd1201,vd1234),
inference(split_conjunct,[status(thm)],['pred(s2(plural(294)), 0)']) ).
fof(c_0_52,negated_conjecture,
~ ron(vd1201,vd1232),
inference(fof_nnf,[status(thm)],[c_0_45]) ).
cnf(c_0_53,plain,
( ~ ron(X1,X3)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rline(X4)
| X3 != X4
| ~ rS(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_54,plain,
~ ron(vd1187,vd1197),
inference(fof_nnf,[status(thm)],[c_0_47]) ).
cnf(c_0_55,plain,
( vd1234 = vd1232
| vd1187 = vd1185
| vd1201 = vd1185 ),
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_48,c_0_49]),c_0_44]),c_0_50]),c_0_40]),c_0_39]),c_0_51])]) ).
cnf(c_0_56,negated_conjecture,
~ ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_57,plain,
( ~ ron(X1,X3)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rS(X1,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_53])])]) ).
cnf(c_0_58,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']) ).
cnf(c_0_59,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).
cnf(c_0_60,plain,
~ ron(vd1187,vd1197),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
( vd1201 = vd1185
| vd1187 = vd1185 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_55]),c_0_56]) ).
cnf(c_0_62,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],['pred(s3(plural(274)), 0)']) ).
cnf(c_0_63,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_57,c_0_58]),c_0_43]),c_0_44]),c_0_59])]) ).
cnf(c_0_64,plain,
vd1201 = vd1185,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).
cnf(c_0_65,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_62])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO294+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 15:15:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 2.79/0.82 % Version: 3.5.1
% 2.79/0.82 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.79/0.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.79/0.82 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.79/0.82 % Starting new_bool_3 with 300s (1) cores
% 2.79/0.82 % Starting new_bool_1 with 300s (1) cores
% 2.79/0.82 % Starting sh5l with 300s (1) cores
% 2.79/0.82 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 316485 completed with status 0
% 2.79/0.82 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.79/0.82 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.79/0.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.79/0.82 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.79/0.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.79/0.82 % No SInE strategy applied
% 2.79/0.82 % Search class: FGHSF-FSLM33-SFFFFFNN
% 2.79/0.82 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 2.79/0.82 % Starting SubtermCWHack with 136s (1) cores
% 2.79/0.82 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.79/0.82 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 2.79/0.82 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 2.79/0.82 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 2.79/0.82 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 316493 completed with status 0
% 2.79/0.82 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.79/0.82 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.79/0.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.79/0.82 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.79/0.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.79/0.82 % No SInE strategy applied
% 2.79/0.82 % Search class: FGHSF-FSLM33-SFFFFFNN
% 2.79/0.82 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 2.79/0.82 % Starting SubtermCWHack with 136s (1) cores
% 2.79/0.82 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.79/0.82 % Preprocessing time : 0.016 s
% 2.79/0.82 % Presaturation interreduction done
% 2.79/0.82
% 2.79/0.82 % Proof found!
% 2.79/0.82 % SZS status Theorem
% 2.79/0.82 % SZS output start CNFRefutation
% See solution above
% 2.79/0.82 % Parsed axioms : 154
% 2.79/0.82 % Removed by relevancy pruning/SinE : 0
% 2.79/0.82 % Initial clauses : 321
% 2.79/0.82 % Removed in clause preprocessing : 2
% 2.79/0.82 % Initial clauses in saturation : 319
% 2.79/0.82 % Processed clauses : 1037
% 2.79/0.82 % ...of these trivial : 26
% 2.79/0.82 % ...subsumed : 72
% 2.79/0.82 % ...remaining for further processing : 939
% 2.79/0.82 % Other redundant clauses eliminated : 1123
% 2.79/0.82 % Clauses deleted for lack of memory : 0
% 2.79/0.82 % Backward-subsumed : 5
% 2.79/0.82 % Backward-rewritten : 55
% 2.79/0.82 % Generated clauses : 1894
% 2.79/0.82 % ...of the previous two non-redundant : 1834
% 2.79/0.82 % ...aggressively subsumed : 0
% 2.79/0.82 % Contextual simplify-reflections : 27
% 2.79/0.82 % Paramodulations : 1644
% 2.79/0.82 % Factorizations : 0
% 2.79/0.82 % NegExts : 0
% 2.79/0.82 % Equation resolutions : 1125
% 2.79/0.82 % Disequality decompositions : 0
% 2.79/0.82 % Total rewrite steps : 1214
% 2.79/0.82 % ...of those cached : 1152
% 2.79/0.82 % Propositional unsat checks : 0
% 2.79/0.82 % Propositional check models : 0
% 2.79/0.82 % Propositional check unsatisfiable : 0
% 2.79/0.82 % Propositional clauses : 0
% 2.79/0.82 % Propositional clauses after purity: 0
% 2.79/0.82 % Propositional unsat core size : 0
% 2.79/0.82 % Propositional preprocessing time : 0.000
% 2.79/0.82 % Propositional encoding time : 0.000
% 2.79/0.82 % Propositional solver time : 0.000
% 2.79/0.82 % Success case prop preproc time : 0.000
% 2.79/0.82 % Success case prop encoding time : 0.000
% 2.79/0.82 % Success case prop solver time : 0.000
% 2.79/0.82 % Current number of processed clauses : 334
% 2.79/0.82 % Positive orientable unit clauses : 46
% 2.79/0.82 % Positive unorientable unit clauses: 0
% 2.79/0.82 % Negative unit clauses : 10
% 2.79/0.82 % Non-unit-clauses : 278
% 2.79/0.82 % Current number of unprocessed clauses: 1311
% 2.79/0.82 % ...number of literals in the above : 17790
% 2.79/0.82 % Current number of archived formulas : 0
% 2.79/0.82 % Current number of archived clauses : 359
% 2.79/0.82 % Clause-clause subsumption calls (NU) : 380673
% 2.79/0.82 % Rec. Clause-clause subsumption calls : 7005
% 2.79/0.82 % Non-unit clause-clause subsumptions : 86
% 2.79/0.82 % Unit Clause-clause subsumption calls : 162
% 2.79/0.82 % Rewrite failures with RHS unbound : 0
% 2.79/0.82 % BW rewrite match attempts : 5
% 2.79/0.82 % BW rewrite match successes : 4
% 2.79/0.82 % Condensation attempts : 0
% 2.79/0.82 % Condensation successes : 0
% 2.79/0.82 % Termbank termtop insertions : 119541
% 2.79/0.82 % Search garbage collected termcells : 14334
% 2.79/0.82
% 2.79/0.82 % -------------------------------------------------
% 2.79/0.82 % User time : 0.362 s
% 2.79/0.82 % System time : 0.013 s
% 2.79/0.82 % Total time : 0.376 s
% 2.79/0.82 % Maximum resident set size: 6040 pages
% 2.79/0.82
% 2.79/0.82 % -------------------------------------------------
% 2.79/0.82 % User time : 1.677 s
% 2.79/0.82 % System time : 0.058 s
% 2.79/0.82 % Total time : 1.735 s
% 2.79/0.82 % Maximum resident set size: 5632 pages
% 2.79/0.82 % E exiting
%------------------------------------------------------------------------------