%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO281+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 : n018.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 12:28:05 PM UTC 2026
% Result : Theorem 21.36s 3.52s
% Output : CNFRefutation 21.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 26 unt; 0 def)
% Number of atoms : 300 ( 60 equ)
% Maximal formula atoms : 56 ( 5 avg)
% Number of connectives : 409 ( 161 ~; 172 |; 73 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-7 aty)
% Number of variables : 92 ( 0 sgn 29 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))',axiom,
! [X25,X26,X27,X28,X29,X30,X31,X32] :
( ( rcircle(X26)
& X25 = X26
& rline(X28)
& X27 = X28
& rpoint(X30)
& X29 = X30
& rinside(X29,X25)
& ron(X29,X27)
& rpoint(X32)
& X31 = X32
& ~ rinside(X31,X25)
& ~ ron(X31,X25)
& ron(X31,X27) )
=> ? [X33] :
( rpoint(X33)
& ron(X33,X27)
& ron(X33,X25)
& rR(X33,X29,X31) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).
fof('and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))',axiom,
( rpoint(vd1124)
& vd1123 = vd1124
& rpoint(vd1126)
& vd1125 = vd1126
& rpoint(vd1128)
& vd1127 = vd1128
& rpoint(vd1130)
& vd1129 = vd1130
& vd1123 != vd1125
& vd1127 != vd1129
& rless(vf(vd1127,vd1129),vf(vd1123,vd1125)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))') ).
fof('qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))',axiom,
! [X373,X374] :
( rcenter(X373,X374)
=> rinside(X373,X374) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof('and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))',axiom,
( ron(vd1123,vd1138)
& ron(vd1125,vd1138)
& rcircle(vd1139)
& rcenter(vd1123,vd1139)
& ron(vd1136,vd1139) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))') ).
fof('neg(neg(247))',axiom,
~ rinside(vd1125,vd1139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(247))') ).
fof('neg(neg(comma_conjunct2(247)))',axiom,
~ ron(vd1125,vd1139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(comma_conjunct2(247)))') ).
fof('qe(248)',conjecture,
? [X1] :
( rpoint(X1)
& ron(X1,vd1138)
& ron(X1,vd1139)
& rR(X1,vd1123,vd1125) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(248)') ).
fof('pred(246, 0)',axiom,
rline(vd1138),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(246, 0)') ).
fof(c_0_8,plain,
! [X25,X26,X27,X28,X29,X30,X31,X32] :
( ( rcircle(X26)
& X25 = X26
& rline(X28)
& X27 = X28
& rpoint(X30)
& X29 = X30
& rinside(X29,X25)
& ron(X29,X27)
& rpoint(X32)
& X31 = X32
& ~ rinside(X31,X25)
& ~ ron(X31,X25)
& ron(X31,X27) )
=> ? [X33] :
( rpoint(X33)
& ron(X33,X27)
& ron(X33,X25)
& rR(X33,X29,X31) ) ),
inference(fof_simplification,[status(thm)],['qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))']) ).
fof(c_0_9,plain,
( rpoint(vd1124)
& vd1123 = vd1124
& rpoint(vd1126)
& vd1125 = vd1126
& rpoint(vd1128)
& vd1127 = vd1128
& rpoint(vd1130)
& vd1129 = vd1130
& vd1123 != vd1125
& vd1127 != vd1129
& rless(vf(vd1127,vd1129),vf(vd1123,vd1125)) ),
inference(fof_simplification,[status(thm)],['and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))']) ).
fof(c_0_10,plain,
! [X762,X763,X764,X765,X766,X767,X768,X769] :
( ( ~ rcircle(X763)
| X762 != X763
| ~ rline(X765)
| X764 != X765
| ~ rpoint(X767)
| X766 != X767
| ~ rinside(X766,X762)
| ~ ron(X766,X764)
| ~ rpoint(X769)
| X768 != X769
| rinside(X768,X762)
| ron(X768,X762)
| ~ ron(X768,X764)
| rpoint(esk2_7(X762,X763,X764,X765,X766,X767,X768)) )
& ( ~ rcircle(X763)
| X762 != X763
| ~ rline(X765)
| X764 != X765
| ~ rpoint(X767)
| X766 != X767
| ~ rinside(X766,X762)
| ~ ron(X766,X764)
| ~ rpoint(X769)
| X768 != X769
| rinside(X768,X762)
| ron(X768,X762)
| ~ ron(X768,X764)
| ron(esk2_7(X762,X763,X764,X765,X766,X767,X768),X764) )
& ( ~ rcircle(X763)
| X762 != X763
| ~ rline(X765)
| X764 != X765
| ~ rpoint(X767)
| X766 != X767
| ~ rinside(X766,X762)
| ~ ron(X766,X764)
| ~ rpoint(X769)
| X768 != X769
| rinside(X768,X762)
| ron(X768,X762)
| ~ ron(X768,X764)
| ron(esk2_7(X762,X763,X764,X765,X766,X767,X768),X762) )
& ( ~ rcircle(X763)
| X762 != X763
| ~ rline(X765)
| X764 != X765
| ~ rpoint(X767)
| X766 != X767
| ~ rinside(X766,X762)
| ~ ron(X766,X764)
| ~ rpoint(X769)
| X768 != X769
| rinside(X768,X762)
| ron(X768,X762)
| ~ ron(X768,X764)
| rR(esk2_7(X762,X763,X764,X765,X766,X767,X768),X766,X768) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])]) ).
fof(c_0_11,plain,
! [X1124,X1125] :
( rinside(X1124,X1125)
| ~ rcenter(X1124,X1125) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))'])])]) ).
fof(c_0_12,plain,
( rpoint(vd1124)
& vd1123 = vd1124
& rpoint(vd1126)
& vd1125 = vd1126
& rpoint(vd1128)
& vd1127 = vd1128
& rpoint(vd1130)
& vd1129 = vd1130
& vd1123 != vd1125
& vd1127 != vd1129
& rless(vf(vd1127,vd1129),vf(vd1123,vd1125)) ),
inference(fof_nnf,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( ~ rcircle(X2)
| X1 != X2
| ~ rline(X4)
| X3 != X4
| ~ rpoint(X6)
| X5 != X6
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X8)
| X7 != X8
| ~ ron(X7,X3)
| rinside(X7,X1)
| ron(X7,X1)
| rR(esk2_7(X1,X2,X3,X4,X5,X6,X7),X5,X7) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( ~ rcenter(X1,X2)
| rinside(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
rcenter(vd1123,vd1139),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).
cnf(c_0_16,plain,
rpoint(vd1124),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
vd1123 = vd1124,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_18,plain,
~ rinside(vd1125,vd1139),
inference(fof_simplification,[status(thm)],['neg(neg(247))']) ).
fof(c_0_19,plain,
~ ron(vd1125,vd1139),
inference(fof_simplification,[status(thm)],['neg(neg(comma_conjunct2(247)))']) ).
cnf(c_0_20,plain,
( ~ rcircle(X2)
| X1 != X2
| ~ rline(X4)
| X3 != X4
| ~ rpoint(X6)
| X5 != X6
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X8)
| X7 != X8
| ~ ron(X7,X3)
| rinside(X7,X1)
| ron(X7,X1)
| rpoint(esk2_7(X1,X2,X3,X4,X5,X6,X7)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,plain,
( ~ rcircle(X2)
| X1 != X2
| ~ rline(X4)
| X3 != X4
| ~ rpoint(X6)
| X5 != X6
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X8)
| X7 != X8
| ~ ron(X7,X3)
| rinside(X7,X1)
| ron(X7,X1)
| ron(esk2_7(X1,X2,X3,X4,X5,X6,X7),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
( ~ rcircle(X2)
| X1 != X2
| ~ rline(X4)
| X3 != X4
| ~ rpoint(X6)
| X5 != X6
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X8)
| X7 != X8
| ~ ron(X7,X3)
| rinside(X7,X1)
| ron(X7,X1)
| ron(esk2_7(X1,X2,X3,X4,X5,X6,X7),X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_23,negated_conjecture,
~ ? [X1] :
( rpoint(X1)
& ron(X1,vd1138)
& ron(X1,vd1139)
& rR(X1,vd1123,vd1125) ),
inference(assume_negation,[status(cth)],['qe(248)']) ).
cnf(c_0_24,plain,
( ~ ron(X4,X3)
| ~ ron(X1,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rinside(X4,X2)
| ~ rcircle(X2)
| ~ rline(X3)
| rR(esk2_7(X2,X2,X3,X3,X4,X4,X1),X4,X1)
| ron(X1,X2)
| rinside(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_25,plain,
rinside(vd1123,vd1139),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_26,plain,
rcircle(vd1139),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).
cnf(c_0_27,plain,
rpoint(vd1123),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_28,plain,
rpoint(vd1126),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,plain,
vd1125 = vd1126,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_30,plain,
~ rinside(vd1125,vd1139),
inference(fof_nnf,[status(thm)],[c_0_18]) ).
fof(c_0_31,plain,
~ ron(vd1125,vd1139),
inference(fof_nnf,[status(thm)],[c_0_19]) ).
cnf(c_0_32,plain,
( ~ ron(X4,X3)
| ~ ron(X1,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rinside(X4,X2)
| ~ rcircle(X2)
| ~ rline(X3)
| ron(X1,X2)
| rpoint(esk2_7(X2,X2,X3,X3,X4,X4,X1))
| rinside(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_33,plain,
( ~ ron(X4,X3)
| ~ ron(X1,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rinside(X4,X2)
| ~ rcircle(X2)
| ~ rline(X3)
| ron(X1,X2)
| ron(esk2_7(X2,X2,X3,X3,X4,X4,X1),X2)
| rinside(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_21])])])]) ).
cnf(c_0_34,plain,
( ~ ron(X4,X3)
| ~ ron(X1,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rinside(X4,X2)
| ~ rcircle(X2)
| ~ rline(X3)
| ron(X1,X2)
| ron(esk2_7(X2,X2,X3,X3,X4,X4,X1),X3)
| rinside(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_22])])])]) ).
fof(c_0_35,negated_conjecture,
! [X738] :
( ~ rpoint(X738)
| ~ ron(X738,vd1138)
| ~ ron(X738,vd1139)
| ~ rR(X738,vd1123,vd1125) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_36,plain,
( ~ ron(X1,X2)
| ~ ron(vd1123,X2)
| ~ rpoint(X1)
| ~ rline(X2)
| rR(esk2_7(vd1139,vd1139,X2,X2,vd1123,vd1123,X1),vd1123,X1)
| ron(X1,vd1139)
| rinside(X1,vd1139) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_37,plain,
ron(vd1125,vd1138),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).
cnf(c_0_38,plain,
rline(vd1138),
inference(split_conjunct,[status(thm)],['pred(246, 0)']) ).
cnf(c_0_39,plain,
rpoint(vd1125),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_40,plain,
ron(vd1123,vd1138),
inference(split_conjunct,[status(thm)],['and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(246))), 0), and(pred(comma_conjunct2(comma_conjunct2(246)), 0), pred(comma_conjunct1(comma_conjunct2(246)), 0)))), pred(comma_conjunct1(246), 0))']) ).
cnf(c_0_41,plain,
~ rinside(vd1125,vd1139),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
~ ron(vd1125,vd1139),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
( ~ ron(X1,X2)
| ~ ron(vd1123,X2)
| ~ rpoint(X1)
| ~ rline(X2)
| ron(X1,vd1139)
| rpoint(esk2_7(vd1139,vd1139,X2,X2,vd1123,vd1123,X1))
| rinside(X1,vd1139) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_44,plain,
( ~ ron(X1,X2)
| ~ ron(vd1123,X2)
| ~ rpoint(X1)
| ~ rline(X2)
| ron(X1,vd1139)
| ron(esk2_7(vd1139,vd1139,X2,X2,vd1123,vd1123,X1),vd1139)
| rinside(X1,vd1139) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_45,plain,
( ~ ron(X1,X2)
| ~ ron(vd1123,X2)
| ~ rpoint(X1)
| ~ rline(X2)
| ron(X1,vd1139)
| ron(esk2_7(vd1139,vd1139,X2,X2,vd1123,vd1123,X1),X2)
| rinside(X1,vd1139) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_46,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,vd1138)
| ~ ron(X1,vd1139)
| ~ rR(X1,vd1123,vd1125) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,plain,
rR(esk2_7(vd1139,vd1139,vd1138,vd1138,vd1123,vd1123,vd1125),vd1123,vd1125),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_41]),c_0_42]) ).
cnf(c_0_48,plain,
rpoint(esk2_7(vd1139,vd1139,vd1138,vd1138,vd1123,vd1123,vd1125)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_41]),c_0_42]) ).
cnf(c_0_49,plain,
ron(esk2_7(vd1139,vd1139,vd1138,vd1138,vd1123,vd1123,vd1125),vd1139),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_41]),c_0_42]) ).
cnf(c_0_50,plain,
ron(esk2_7(vd1139,vd1139,vd1138,vd1138,vd1123,vd1123,vd1125),vd1138),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_41]),c_0_42]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]),c_0_50])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO281+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 15:07:42 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 21.36/3.52 % Version: 3.5.1
% 21.36/3.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 21.36/3.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.36/3.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 21.36/3.52 % Starting new_bool_3 with 300s (1) cores
% 21.36/3.52 % Starting new_bool_1 with 300s (1) cores
% 21.36/3.52 % Starting sh5l with 300s (1) cores
% 21.36/3.52 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3857393 completed with status 0
% 21.36/3.52 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 21.36/3.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 21.36/3.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.36/3.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 21.36/3.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.36/3.52 % No SInE strategy applied
% 21.36/3.52 % Search class: FGHSF-FSLM33-SFFFFFNN
% 21.36/3.52 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 21.36/3.52 % Starting SubtermCWHack with 136s (1) cores
% 21.36/3.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 21.36/3.52 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 21.36/3.52 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 21.36/3.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 21.36/3.52 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 3857401 completed with status 0
% 21.36/3.52 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 21.36/3.52 % Preprocessing class: FSLSSMSMSSSNFFN.
% 21.36/3.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.36/3.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 21.36/3.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.36/3.52 % No SInE strategy applied
% 21.36/3.52 % Search class: FGHSF-FSLM33-SFFFFFNN
% 21.36/3.52 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 21.36/3.52 % Starting SubtermCWHack with 136s (1) cores
% 21.36/3.52 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 21.36/3.52 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 21.36/3.52 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 21.36/3.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 21.36/3.52 % Preprocessing time : 0.008 s
% 21.36/3.52 % Presaturation interreduction done
% 21.36/3.52
% 21.36/3.52 % Proof found!
% 21.36/3.52 % SZS status Theorem
% 21.36/3.52 % SZS output start CNFRefutation
% See solution above
% 21.36/3.52 % Parsed axioms : 117
% 21.36/3.52 % Removed by relevancy pruning/SinE : 0
% 21.36/3.52 % Initial clauses : 277
% 21.36/3.52 % Removed in clause preprocessing : 2
% 21.36/3.52 % Initial clauses in saturation : 275
% 21.36/3.52 % Processed clauses : 6552
% 21.36/3.52 % ...of these trivial : 82
% 21.36/3.52 % ...subsumed : 1411
% 21.36/3.52 % ...remaining for further processing : 5059
% 21.36/3.52 % Other redundant clauses eliminated : 1115
% 21.36/3.52 % Clauses deleted for lack of memory : 0
% 21.36/3.52 % Backward-subsumed : 128
% 21.36/3.52 % Backward-rewritten : 120
% 21.36/3.52 % Generated clauses : 151934
% 21.36/3.52 % ...of the previous two non-redundant : 149600
% 21.36/3.52 % ...aggressively subsumed : 0
% 21.36/3.52 % Contextual simplify-reflections : 230
% 21.36/3.52 % Paramodulations : 151650
% 21.36/3.52 % Factorizations : 28
% 21.36/3.52 % NegExts : 0
% 21.36/3.52 % Equation resolutions : 1122
% 21.36/3.52 % Disequality decompositions : 0
% 21.36/3.52 % Total rewrite steps : 190374
% 21.36/3.52 % ...of those cached : 189659
% 21.36/3.52 % Propositional unsat checks : 1
% 21.36/3.52 % Propositional check models : 1
% 21.36/3.52 % Propositional check unsatisfiable : 0
% 21.36/3.52 % Propositional clauses : 0
% 21.36/3.52 % Propositional clauses after purity: 0
% 21.36/3.52 % Propositional unsat core size : 0
% 21.36/3.52 % Propositional preprocessing time : 0.000
% 21.36/3.52 % Propositional encoding time : 0.128
% 21.36/3.52 % Propositional solver time : 0.010
% 21.36/3.52 % Success case prop preproc time : 0.000
% 21.36/3.52 % Success case prop encoding time : 0.000
% 21.36/3.52 % Success case prop solver time : 0.000
% 21.36/3.52 % Current number of processed clauses : 4295
% 21.36/3.52 % Positive orientable unit clauses : 1413
% 21.36/3.52 % Positive unorientable unit clauses: 0
% 21.36/3.52 % Negative unit clauses : 77
% 21.36/3.52 % Non-unit-clauses : 2805
% 21.36/3.52 % Current number of unprocessed clauses: 143299
% 21.36/3.52 % ...number of literals in the above : 675442
% 21.36/3.52 % Current number of archived formulas : 0
% 21.36/3.52 % Current number of archived clauses : 521
% 21.36/3.52 % Clause-clause subsumption calls (NU) : 2178787
% 21.36/3.52 % Rec. Clause-clause subsumption calls : 413992
% 21.36/3.52 % Non-unit clause-clause subsumptions : 1662
% 21.36/3.52 % Unit Clause-clause subsumption calls : 858642
% 21.36/3.52 % Rewrite failures with RHS unbound : 0
% 21.36/3.52 % BW rewrite match attempts : 181263
% 21.36/3.52 % BW rewrite match successes : 119
% 21.36/3.52 % Condensation attempts : 0
% 21.36/3.52 % Condensation successes : 0
% 21.36/3.52 % Termbank termtop insertions : 8359192
% 21.36/3.52 % Search garbage collected termcells : 14015
% 21.36/3.52
% 21.36/3.52 % -------------------------------------------------
% 21.36/3.52 % User time : 2.917 s
% 21.36/3.52 % System time : 0.133 s
% 21.36/3.52 % Total time : 3.050 s
% 21.36/3.52 % Maximum resident set size: 6260 pages
% 21.36/3.52
% 21.36/3.52 % -------------------------------------------------
% 21.36/3.52 % User time : 14.638 s
% 21.36/3.52 % System time : 0.417 s
% 21.36/3.52 % Total time : 15.055 s
% 21.36/3.52 % Maximum resident set size: 5376 pages
% 21.36/3.52 % E exiting
%------------------------------------------------------------------------------