%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO292+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 : n014.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 248.07s 36.68s
% Output : CNFRefutation 248.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 74 ( 55 unt; 0 def)
% Number of atoms : 347 ( 145 equ)
% Maximal formula atoms : 70 ( 4 avg)
% Number of connectives : 429 ( 156 ~; 149 |; 118 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 5 avg)
% Maximal term depth : 3 ( 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 : 101 ( 0 sgn 39 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))',axiom,
! [X15,X16,X17,X18,X19,X20] :
( ( ? [X26] :
( rpoint(X26)
& X15 = X26 )
& ? [X25] :
( rpoint(X25)
& X16 = X25 )
& ? [X24] :
( rpoint(X24)
& X17 = X24 )
& ? [X23] :
( rpoint(X23)
& X18 = X23 )
& ? [X22] :
( rline(X22)
& X19 = X22 )
& ? [X21] :
( rline(X21)
& X20 = X21 )
& ron(X15,X19)
& ron(X15,X20)
& ron(X16,X19)
& ron(X17,X20)
& X15 != X16
& X15 != X17
& ~ ron(X18,X19)
& ~ ron(X18,X20)
& X19 != X20 )
=> ( vangle(X16,X15,X17) = vplus(vangle(X16,X15,X18),vangle(X18,X15,X17))
<=> ( rS(X16,X18,X20)
& rS(X17,X18,X19) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(190), 0), imp(cond(axiom(190), 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,
( ? [X8] :
( rpoint(X8)
& vd1178 = X8 )
& ? [X7] :
( rpoint(X7)
& vd1179 = X7 )
& ? [X6] :
( rpoint(X6)
& vd1180 = X6 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X5] :
( rpoint(X5)
& vd1185 = X5 )
& ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
& ? [X3] :
( rpoint(X3)
& vd1187 = X3 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X2] :
( rline(X2)
& ron(vd1185,X2)
& ron(vd1186,X2)
& ron(vd1187,X2) ) ),
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(99), 0), imp(cond(axiom(99), 0)))',axiom,
! [X351,X352,X353,X354] :
( ( ? [X356] :
( rpoint(X356)
& X351 = X356 )
& ? [X355] :
( rpoint(X355)
& X352 = X355 )
& rline(X354)
& X353 = X354
& rS(X351,X352,X353) )
=> ~ ron(X351,X353) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof('qe(s3(plural(271)))',axiom,
? [X1] :
( rpoint(X1)
& vd1201 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof('neg(neg(296))',axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(296))') ).
fof('holds(299, 1238, 0)',conjecture,
vangle(vd1186,vd1185,vd1187) = vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(299, 1238, 0)') ).
fof('holds(298, 1237, 0)',axiom,
rS(vd1186,vd1201,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(298, 1237, 0)') ).
fof('pred(293, 0)',axiom,
rline(vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(293, 0)') ).
fof('holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)',axiom,
rS(vd1201,vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof('pred(269, 0)',axiom,
rline(vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(269, 0)') ).
fof('holds(292, 1231, 0)',axiom,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(292, 1231, 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('holds(291, 1230, 0)',axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(291, 1230, 0)') ).
fof('holds(295, 1236, 0)',axiom,
rS(vd1187,vd1201,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(295, 1236, 0)') ).
fof('pred(s2(plural(269)), 0)',axiom,
ron(vd1186,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)') ).
fof('pred(s2(plural(293)), 0)',axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).
fof('neg(neg(270))',axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(270))') ).
fof('pred(s1(plural(293)), 0)',axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).
fof('pred(s1(plural(269)), 0)',axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)') ).
fof(c_0_19,plain,
! [X15,X16,X17,X18,X19,X20] :
( ( ? [X26] :
( rpoint(X26)
& X15 = X26 )
& ? [X25] :
( rpoint(X25)
& X16 = X25 )
& ? [X24] :
( rpoint(X24)
& X17 = X24 )
& ? [X23] :
( rpoint(X23)
& X18 = X23 )
& ? [X22] :
( rline(X22)
& X19 = X22 )
& ? [X21] :
( rline(X21)
& X20 = X21 )
& ron(X15,X19)
& ron(X15,X20)
& ron(X16,X19)
& ron(X17,X20)
& X15 != X16
& X15 != X17
& ~ ron(X18,X19)
& ~ ron(X18,X20)
& X19 != X20 )
=> ( vangle(X16,X15,X17) = vplus(vangle(X16,X15,X18),vangle(X18,X15,X17))
<=> ( rS(X16,X18,X20)
& rS(X17,X18,X19) ) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))']) ).
fof(c_0_20,plain,
( ? [X8] :
( rpoint(X8)
& vd1178 = X8 )
& ? [X7] :
( rpoint(X7)
& vd1179 = X7 )
& ? [X6] :
( rpoint(X6)
& vd1180 = X6 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X5] :
( rpoint(X5)
& vd1185 = X5 )
& ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
& ? [X3] :
( rpoint(X3)
& vd1187 = X3 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X2] :
( rline(X2)
& ron(vd1185,X2)
& ron(vd1186,X2)
& ron(vd1187,X2) ) ),
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_21,plain,
! [X351,X352,X353,X354] :
( ( ? [X356] :
( rpoint(X356)
& X351 = X356 )
& ? [X355] :
( rpoint(X355)
& X352 = X355 )
& rline(X354)
& X353 = X354
& rS(X351,X352,X353) )
=> ~ ron(X351,X353) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))']) ).
fof(c_0_22,plain,
! [X755,X756,X757,X758,X759,X760,X761,X762,X763,X764,X765,X766] :
( ( ~ rpoint(X766)
| X755 != X766
| ~ rpoint(X765)
| X756 != X765
| ~ rpoint(X764)
| X757 != X764
| ~ rpoint(X763)
| X758 != X763
| ~ rline(X762)
| X759 != X762
| ~ rline(X761)
| X760 != X761
| ~ ron(X755,X759)
| ~ ron(X755,X760)
| ~ ron(X756,X759)
| ~ ron(X757,X760)
| X755 = X756
| X755 = X757
| ron(X758,X759)
| ron(X758,X760)
| X759 = X760
| vangle(X756,X755,X757) = vplus(vangle(X756,X755,X758),vangle(X758,X755,X757))
| ~ rS(X756,X758,X760)
| ~ rS(X757,X758,X759) )
& ( ~ rpoint(X766)
| X755 != X766
| ~ rpoint(X765)
| X756 != X765
| ~ rpoint(X764)
| X757 != X764
| ~ rpoint(X763)
| X758 != X763
| ~ rline(X762)
| X759 != X762
| ~ rline(X761)
| X760 != X761
| ~ ron(X755,X759)
| ~ ron(X755,X760)
| ~ ron(X756,X759)
| ~ ron(X757,X760)
| X755 = X756
| X755 = X757
| ron(X758,X759)
| ron(X758,X760)
| X759 = X760
| vangle(X756,X755,X757) != vplus(vangle(X756,X755,X758),vangle(X758,X755,X757))
| rS(X756,X758,X760) )
& ( ~ rpoint(X766)
| X755 != X766
| ~ rpoint(X765)
| X756 != X765
| ~ rpoint(X764)
| X757 != X764
| ~ rpoint(X763)
| X758 != X763
| ~ rline(X762)
| X759 != X762
| ~ rline(X761)
| X760 != X761
| ~ ron(X755,X759)
| ~ ron(X755,X760)
| ~ ron(X756,X759)
| ~ ron(X757,X760)
| X755 = X756
| X755 = X757
| ron(X758,X759)
| ron(X758,X760)
| X759 = X760
| vangle(X756,X755,X757) != vplus(vangle(X756,X755,X758),vangle(X758,X755,X757))
| rS(X757,X758,X759) ) ),
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_19])])])])]) ).
fof(c_0_23,plain,
! [X853] :
( rpoint(esk10_0)
& vd1178 = esk10_0
& rpoint(esk9_0)
& vd1179 = esk9_0
& rpoint(esk8_0)
& vd1180 = esk8_0
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(esk7_0)
& vd1185 = esk7_0
& rpoint(esk6_0)
& vd1186 = esk6_0
& rpoint(esk5_0)
& vd1187 = esk5_0
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ( ~ rline(X853)
| ~ ron(vd1185,X853)
| ~ ron(vd1186,X853)
| ~ ron(vd1187,X853) ) ),
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_20])])])])]) ).
fof(c_0_24,plain,
( rpoint(esk11_0)
& vd1201 = esk11_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).
fof(c_0_25,plain,
~ ron(vd1201,vd1232),
inference(fof_simplification,[status(thm)],['neg(neg(296))']) ).
fof(c_0_26,plain,
! [X964,X965,X966,X967,X968,X969] :
( ~ ron(X964,X966)
| ~ rpoint(X969)
| X964 != X969
| ~ rpoint(X968)
| X965 != X968
| ~ rline(X967)
| X966 != X967
| ~ rS(X964,X965,X966) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_27,negated_conjecture,
vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
inference(assume_negation,[status(cth)],['holds(299, 1238, 0)']) ).
cnf(c_0_28,plain,
( ~ rpoint(X12)
| X6 != X12
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X10)
| X1 != X10
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X8)
| X3 != X8
| ~ rline(X7)
| X5 != X7
| ~ ron(X6,X3)
| ~ ron(X6,X5)
| ~ ron(X4,X3)
| ~ ron(X1,X5)
| ~ rS(X4,X2,X5)
| ~ rS(X1,X2,X3)
| X6 = X4
| X6 = X1
| ron(X2,X3)
| ron(X2,X5)
| X3 = X5
| vangle(X4,X6,X1) = vplus(vangle(X4,X6,X2),vangle(X2,X6,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
rpoint(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
vd1186 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
rpoint(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
vd1201 = esk11_0,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_33,plain,
~ ron(vd1201,vd1232),
inference(fof_nnf,[status(thm)],[c_0_25]) ).
cnf(c_0_34,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_26]) ).
cnf(c_0_35,plain,
rpoint(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36,plain,
vd1187 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_37,negated_conjecture,
vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
( ~ rS(X4,X3,X5)
| ~ rS(X1,X3,X6)
| ~ ron(X4,X6)
| ~ ron(X1,X5)
| ~ ron(X2,X5)
| ~ ron(X2,X6)
| ~ rline(X6)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ron(X3,X5)
| ron(X3,X6)
| X4 = X2
| X5 = X6
| X1 = X2
| vplus(vangle(X1,X2,X3),vangle(X3,X2,X4)) = vangle(X1,X2,X4) ),
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_28])])])])])]) ).
cnf(c_0_39,plain,
rS(vd1186,vd1201,vd1232),
inference(split_conjunct,[status(thm)],['holds(298, 1237, 0)']) ).
cnf(c_0_40,plain,
rpoint(vd1186),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_41,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_42,plain,
rline(vd1232),
inference(split_conjunct,[status(thm)],['pred(293, 0)']) ).
cnf(c_0_43,plain,
~ ron(vd1201,vd1232),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
( ~ rS(X1,X2,X3)
| ~ ron(X1,X3)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_34])])]) ).
cnf(c_0_45,plain,
rS(vd1201,vd1187,vd1197),
inference(split_conjunct,[status(thm)],['holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)']) ).
cnf(c_0_46,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_47,plain,
rline(vd1197),
inference(split_conjunct,[status(thm)],['pred(269, 0)']) ).
fof(c_0_48,negated_conjecture,
vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
inference(fof_nnf,[status(thm)],[c_0_37]) ).
cnf(c_0_49,plain,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
inference(split_conjunct,[status(thm)],['holds(292, 1231, 0)']) ).
cnf(c_0_50,plain,
vd1200 = vd1186,
inference(split_conjunct,[status(thm)],['holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)']) ).
cnf(c_0_51,plain,
vd1199 = vd1185,
inference(split_conjunct,[status(thm)],['holds(291, 1230, 0)']) ).
cnf(c_0_52,plain,
( ~ rS(X2,vd1201,X3)
| ~ ron(X1,X3)
| ~ ron(X2,vd1232)
| ~ ron(vd1186,X3)
| ~ ron(X1,vd1232)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ron(vd1201,X3)
| X2 = X1
| X3 = vd1232
| vd1186 = X1
| vplus(vangle(vd1186,X1,vd1201),vangle(vd1201,X1,X2)) = vangle(vd1186,X1,X2) ),
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_38,c_0_39]),c_0_40]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_53,plain,
rS(vd1187,vd1201,vd1197),
inference(split_conjunct,[status(thm)],['holds(295, 1236, 0)']) ).
cnf(c_0_54,plain,
ron(vd1186,vd1197),
inference(split_conjunct,[status(thm)],['pred(s2(plural(269)), 0)']) ).
cnf(c_0_55,plain,
ron(vd1187,vd1232),
inference(split_conjunct,[status(thm)],['pred(s2(plural(293)), 0)']) ).
cnf(c_0_56,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_44,c_0_45]),c_0_41]),c_0_46]),c_0_47])]) ).
cnf(c_0_57,plain,
rpoint(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_58,plain,
vd1185 = esk7_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_59,negated_conjecture,
vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_60,plain,
vangle(vd1186,vd1185,vd1187) = vangle(vd1186,vd1185,vd1201),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
fof(c_0_61,plain,
~ ron(vd1187,vd1197),
inference(fof_simplification,[status(thm)],['neg(neg(270))']) ).
cnf(c_0_62,plain,
( ~ ron(X1,vd1197)
| ~ ron(X1,vd1232)
| ~ rpoint(X1)
| vd1186 = X1
| vd1187 = X1
| vd1232 = vd1197
| vplus(vangle(vd1186,X1,vd1201),vangle(vd1201,X1,vd1187)) = vangle(vd1186,X1,vd1187) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_46]),c_0_47]),c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_63,plain,
ron(vd1185,vd1232),
inference(split_conjunct,[status(thm)],['pred(s1(plural(293)), 0)']) ).
cnf(c_0_64,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,plain,
ron(vd1185,vd1197),
inference(split_conjunct,[status(thm)],['pred(s1(plural(269)), 0)']) ).
cnf(c_0_66,negated_conjecture,
vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)) != vangle(vd1186,vd1185,vd1201),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_67,plain,
~ ron(vd1187,vd1197),
inference(fof_nnf,[status(thm)],[c_0_61]) ).
cnf(c_0_68,plain,
( vd1232 = vd1197
| vd1187 = vd1185
| vd1186 = 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_62,c_0_63]),c_0_60]),c_0_64]),c_0_65])]),c_0_66]) ).
cnf(c_0_69,plain,
~ ron(vd1187,vd1197),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_70,plain,
( vd1186 = vd1185
| vd1187 = vd1185 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_68]),c_0_69]) ).
cnf(c_0_71,plain,
~ ron(vd1186,vd1232),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_72,plain,
vd1186 = vd1185,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_65])]) ).
cnf(c_0_73,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72]),c_0_63])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO292+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n014.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 20 15:13:36 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.54 Running first-order theorem proving
% 0.17/0.54 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
% 248.07/36.68 % Version: 3.5.1
% 248.07/36.68 % Preprocessing class: FSLSSMSMSSSNFFN.
% 248.07/36.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 248.07/36.68 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 248.07/36.68 % Starting new_bool_3 with 300s (1) cores
% 248.07/36.68 % Starting new_bool_1 with 300s (1) cores
% 248.07/36.68 % Starting sh5l with 300s (1) cores
% 248.07/36.68 % new_bool_1 with pid 1832875 completed with status 0
% 248.07/36.68 % Result found by new_bool_1
% 248.07/36.68 % Preprocessing class: FSLSSMSMSSSNFFN.
% 248.07/36.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 248.07/36.68 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 248.07/36.68 % Starting new_bool_3 with 300s (1) cores
% 248.07/36.68 % Starting new_bool_1 with 300s (1) cores
% 248.07/36.68 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 248.07/36.68 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 248.07/36.68 % Search class: FGHSF-FSLM33-SFFFFFNN
% 248.07/36.68 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 248.07/36.68 % Starting SubtermCWHack with 28s (1) cores
% 248.07/36.68 % SubtermCWHack with pid 1832877 completed with status 8
% 248.07/36.68 % Starting new_bool_1 with 31s (1) cores
% 248.07/36.68 % new_bool_1 with pid 1833567 completed with status 0
% 248.07/36.68 % Result found by new_bool_1
% 248.07/36.68 % Preprocessing class: FSLSSMSMSSSNFFN.
% 248.07/36.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 248.07/36.68 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 248.07/36.68 % Starting new_bool_3 with 300s (1) cores
% 248.07/36.68 % Starting new_bool_1 with 300s (1) cores
% 248.07/36.68 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 248.07/36.68 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 248.07/36.68 % Search class: FGHSF-FSLM33-SFFFFFNN
% 248.07/36.68 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 248.07/36.68 % Starting SubtermCWHack with 28s (1) cores
% 248.07/36.68 % SubtermCWHack with pid 1832877 completed with status 8
% 248.07/36.68 % Starting new_bool_1 with 31s (1) cores
% 248.07/36.68 % Preprocessing time : 0.008 s
% 248.07/36.68 % Presaturation interreduction done
% 248.07/36.68
% 248.07/36.68 % Proof found!
% 248.07/36.68 % SZS status Theorem
% 248.07/36.68 % SZS output start CNFRefutation
% See solution above
% 248.07/36.68 % Parsed axioms : 149
% 248.07/36.68 % Removed by relevancy pruning/SinE : 29
% 248.07/36.68 % Initial clauses : 252
% 248.07/36.68 % Removed in clause preprocessing : 2
% 248.07/36.68 % Initial clauses in saturation : 250
% 248.07/36.68 % Processed clauses : 15213
% 248.07/36.68 % ...of these trivial : 2237
% 248.07/36.68 % ...subsumed : 3691
% 248.07/36.68 % ...remaining for further processing : 9285
% 248.07/36.68 % Other redundant clauses eliminated : 984
% 248.07/36.68 % Clauses deleted for lack of memory : 0
% 248.07/36.68 % Backward-subsumed : 198
% 248.07/36.68 % Backward-rewritten : 2017
% 248.07/36.68 % Generated clauses : 433678
% 248.07/36.68 % ...of the previous two non-redundant : 296042
% 248.07/36.68 % ...aggressively subsumed : 0
% 248.07/36.68 % Contextual simplify-reflections : 313
% 248.07/36.68 % Paramodulations : 432691
% 248.07/36.68 % Factorizations : 776
% 248.07/36.68 % NegExts : 0
% 248.07/36.68 % Equation resolutions : 1001
% 248.07/36.68 % Disequality decompositions : 0
% 248.07/36.68 % Total rewrite steps : 825808
% 248.07/36.68 % ...of those cached : 824013
% 248.07/36.68 % Propositional unsat checks : 1
% 248.07/36.68 % Propositional check models : 0
% 248.07/36.68 % Propositional check unsatisfiable : 0
% 248.07/36.68 % Propositional clauses : 0
% 248.07/36.68 % Propositional clauses after purity: 0
% 248.07/36.68 % Propositional unsat core size : 0
% 248.07/36.68 % Propositional preprocessing time : 0.000
% 248.07/36.68 % Propositional encoding time : 0.042
% 248.07/36.68 % Propositional solver time : 0.051
% 248.07/36.68 % Success case prop preproc time : 0.000
% 248.07/36.68 % Success case prop encoding time : 0.000
% 248.07/36.68 % Success case prop solver time : 0.000
% 248.07/36.68 % Current number of processed clauses : 6648
% 248.07/36.68 % Positive orientable unit clauses : 1908
% 248.07/36.68 % Positive unorientable unit clauses: 0
% 248.07/36.68 % Negative unit clauses : 271
% 248.07/36.68 % Non-unit-clauses : 4469
% 248.07/36.68 % Current number of unprocessed clauses: 279899
% 248.07/36.68 % ...number of literals in the above : 1973840
% 248.07/36.68 % Current number of archived formulas : 0
% 248.07/36.68 % Current number of archived clauses : 2449
% 248.07/36.68 % Clause-clause subsumption calls (NU) : 3623167
% 248.07/36.68 % Rec. Clause-clause subsumption calls : 875225
% 248.07/36.68 % Non-unit clause-clause subsumptions : 2613
% 248.07/36.68 % Unit Clause-clause subsumption calls : 164842
% 248.07/36.68 % Rewrite failures with RHS unbound : 0
% 248.07/36.68 % BW rewrite match attempts : 82395
% 248.07/36.68 % BW rewrite match successes : 446
% 248.07/36.68 % Condensation attempts : 0
% 248.07/36.68 % Condensation successes : 0
% 248.07/36.68 % Termbank termtop insertions : 21514986
% 248.07/36.68 % Search garbage collected termcells : 12774
% 248.07/36.68
% 248.07/36.68 % -------------------------------------------------
% 248.07/36.68 % User time : 34.704 s
% 248.07/36.68 % System time : 1.153 s
% 248.07/36.68 % Total time : 35.857 s
% 248.07/36.68 % Maximum resident set size: 5524 pages
% 248.07/36.68
% 248.07/36.68 % -------------------------------------------------
% 248.07/36.68 % User time : 34.725 s
% 248.07/36.68 % System time : 1.159 s
% 248.07/36.68 % Total time : 35.884 s
% 248.07/36.68 % Maximum resident set size: 5376 pages
% 248.07/36.68 % E exiting
%------------------------------------------------------------------------------