%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO005+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.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 : Tue May 5 05:01:52 PM UTC 2026
% Result : Theorem 1.62s 1.84s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 86 ( 34 unt; 0 def)
% Number of atoms : 250 ( 15 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 274 ( 110 ~; 102 |; 47 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 132 ( 2 sgn 73 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
~ ? [X170] : occurrence_of(X170,tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164] :
( occurrence_of(X163,tptp4)
& root_occ(X163,X162)
& ( occurrence_of(X164,tptp3)
| occurrence_of(X164,tptp2) )
& leaf_occ(X164,X162)
& next_subocc(X163,X164,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(sos_22,axiom,
! [X61,X62,X63] :
( next_subocc(X61,X62,X63)
<=> ( min_precedes(X61,X62,X63)
& ~ ? [X64] :
( min_precedes(X61,X64,X63)
& min_precedes(X64,X62,X63) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(sos_63,axiom,
! [X167,X168] :
( ( occurrence_of(X168,tptp0)
& subactivity_occurrence(X167,X168)
& arboreal(X167)
& ~ leaf_occ(X167,X168) )
=> ? [X169] :
( occurrence_of(X169,tptp1)
& next_subocc(X167,X169,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_63) ).
fof(sos_37,axiom,
! [X114,X115,X116] :
( ( occurrence_of(X114,X116)
& leaf_occ(X115,X114) )
=> ~ ? [X117] : min_precedes(X115,X117,X116) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).
fof(sos_33,axiom,
! [X100,X101] :
( root_occ(X100,X101)
<=> ? [X102] :
( occurrence_of(X101,X102)
& subactivity_occurrence(X100,X101)
& root(X100,X102) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(sos_52,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_52) ).
fof(sos_62,axiom,
! [X165,X166] :
( ( occurrence_of(X166,tptp0)
& subactivity_occurrence(X165,X166)
& arboreal(X165)
& ~ leaf_occ(X165,X166) )
=> root_occ(X165,X166) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_62) ).
fof(sos_25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( occurrence_of(X73,X70)
& subactivity_occurrence(X71,X73)
& subactivity_occurrence(X72,X73) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
fof(sos_38,axiom,
! [X118,X119,X120] :
( ( occurrence_of(X118,X120)
& root_occ(X119,X118) )
=> ~ ? [X121] : min_precedes(X121,X119,X120) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(sos_36,axiom,
! [X110,X111,X112,X113] :
( ( occurrence_of(X112,X113)
& ~ atomic(X113)
& leaf_occ(X110,X112)
& leaf_occ(X111,X112) )
=> X110 = X111 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).
fof(sos_55,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_55) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X6)
& occurrence_of(X5,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_60,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_60) ).
fof(sos_59,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_59) ).
fof(c_0_17,negated_conjecture,
~ ~ ? [X170] : occurrence_of(X170,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_18,plain,
! [X519] :
( ( occurrence_of(esk17_1(X519),tptp4)
| ~ occurrence_of(X519,tptp0) )
& ( root_occ(esk17_1(X519),X519)
| ~ occurrence_of(X519,tptp0) )
& ( occurrence_of(esk18_1(X519),tptp3)
| occurrence_of(esk18_1(X519),tptp2)
| ~ occurrence_of(X519,tptp0) )
& ( leaf_occ(esk18_1(X519),X519)
| ~ occurrence_of(X519,tptp0) )
& ( next_subocc(esk17_1(X519),esk18_1(X519),tptp0)
| ~ occurrence_of(X519,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])]) ).
fof(c_0_19,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_20,plain,
! [X405,X406,X407,X408,X409,X410,X411] :
( ( min_precedes(X405,X406,X407)
| ~ next_subocc(X405,X406,X407) )
& ( ~ min_precedes(X405,X408,X407)
| ~ min_precedes(X408,X406,X407)
| ~ next_subocc(X405,X406,X407) )
& ( min_precedes(X409,esk8_3(X409,X410,X411),X411)
| ~ min_precedes(X409,X410,X411)
| next_subocc(X409,X410,X411) )
& ( min_precedes(esk8_3(X409,X410,X411),X410,X411)
| ~ min_precedes(X409,X410,X411)
| next_subocc(X409,X410,X411) ) ),
inference(distribute,[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)],[sos_22])])])])])]) ).
cnf(c_0_21,plain,
( next_subocc(esk17_1(X1),esk18_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X167,X168] :
( ( occurrence_of(X168,tptp0)
& subactivity_occurrence(X167,X168)
& arboreal(X167)
& ~ leaf_occ(X167,X168) )
=> ? [X169] :
( occurrence_of(X169,tptp1)
& next_subocc(X167,X169,tptp0) ) ),
inference(fof_simplification,[status(thm)],[sos_63]) ).
fof(c_0_24,plain,
! [X471,X472,X473,X474] :
( ~ occurrence_of(X471,X473)
| ~ leaf_occ(X472,X471)
| ~ min_precedes(X472,X474,X473) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_37])])]) ).
cnf(c_0_25,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_27,plain,
! [X524,X525] :
( ( occurrence_of(esk19_1(X524),tptp1)
| ~ occurrence_of(X525,tptp0)
| ~ subactivity_occurrence(X524,X525)
| ~ arboreal(X524)
| leaf_occ(X524,X525) )
& ( next_subocc(X524,esk19_1(X524),tptp0)
| ~ occurrence_of(X525,tptp0)
| ~ subactivity_occurrence(X524,X525)
| ~ arboreal(X524)
| leaf_occ(X524,X525) ) ),
inference(distribute,[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_23])])])])])]) ).
fof(c_0_28,plain,
! [X451,X452,X454,X455,X456] :
( ( occurrence_of(X452,esk14_2(X451,X452))
| ~ root_occ(X451,X452) )
& ( subactivity_occurrence(X451,X452)
| ~ root_occ(X451,X452) )
& ( root(X451,esk14_2(X451,X452))
| ~ root_occ(X451,X452) )
& ( ~ occurrence_of(X455,X456)
| ~ subactivity_occurrence(X454,X455)
| ~ root(X454,X456)
| root_occ(X454,X455) ) ),
inference(distribute,[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)],[sos_33])])])])])]) ).
cnf(c_0_29,plain,
( root_occ(esk17_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_30,plain,
! [X357,X358] :
( ( ~ arboreal(X357)
| atomic(X358)
| ~ occurrence_of(X357,X358) )
& ( ~ atomic(X358)
| arboreal(X357)
| ~ occurrence_of(X357,X358) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).
cnf(c_0_31,plain,
( occurrence_of(esk17_1(X1),tptp4)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,plain,
( next_subocc(X1,esk19_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( subactivity_occurrence(X1,X2)
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,negated_conjecture,
root_occ(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_29,c_0_22]) ).
cnf(c_0_37,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,negated_conjecture,
occurrence_of(esk17_1(esk20_0),tptp4),
inference(spm,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_39,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_52]) ).
cnf(c_0_40,negated_conjecture,
( ~ leaf_occ(esk17_1(esk20_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,negated_conjecture,
( leaf_occ(X1,esk20_0)
| next_subocc(X1,esk19_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk20_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_22]) ).
cnf(c_0_42,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,negated_conjecture,
arboreal(esk17_1(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_44,negated_conjecture,
~ leaf_occ(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_40,c_0_22]) ).
fof(c_0_45,plain,
! [X165,X166] :
( ( occurrence_of(X166,tptp0)
& subactivity_occurrence(X165,X166)
& arboreal(X165)
& ~ leaf_occ(X165,X166) )
=> root_occ(X165,X166) ),
inference(fof_simplification,[status(thm)],[sos_62]) ).
fof(c_0_46,plain,
! [X421,X422,X423] :
( ( occurrence_of(esk10_3(X421,X422,X423),X421)
| ~ min_precedes(X422,X423,X421) )
& ( subactivity_occurrence(X422,esk10_3(X421,X422,X423))
| ~ min_precedes(X422,X423,X421) )
& ( subactivity_occurrence(X423,esk10_3(X421,X422,X423))
| ~ min_precedes(X422,X423,X421) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])]) ).
cnf(c_0_47,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_48,plain,
( occurrence_of(esk19_1(X1),tptp1)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_49,plain,
! [X475,X476,X477,X478] :
( ~ occurrence_of(X475,X477)
| ~ root_occ(X476,X475)
| ~ min_precedes(X478,X476,X477) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_38])])]) ).
fof(c_0_50,plain,
! [X522,X523] :
( ~ occurrence_of(X523,tptp0)
| ~ subactivity_occurrence(X522,X523)
| ~ arboreal(X522)
| leaf_occ(X522,X523)
| root_occ(X522,X523) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
cnf(c_0_51,plain,
( occurrence_of(esk10_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_25,c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( leaf_occ(X1,esk20_0)
| occurrence_of(esk19_1(X1),tptp1)
| ~ subactivity_occurrence(X1,esk20_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_22]) ).
cnf(c_0_54,plain,
( ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ min_precedes(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_55,plain,
! [X110,X111,X112,X113] :
( ( occurrence_of(X112,X113)
& ~ atomic(X113)
& leaf_occ(X110,X112)
& leaf_occ(X111,X112) )
=> X110 = X111 ),
inference(fof_simplification,[status(thm)],[sos_36]) ).
cnf(c_0_56,plain,
( leaf_occ(X2,X1)
| root_occ(X2,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),tptp0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,plain,
( subactivity_occurrence(X1,esk10_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_59,negated_conjecture,
occurrence_of(esk19_1(esk17_1(esk20_0)),tptp1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_60,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_55]) ).
cnf(c_0_61,negated_conjecture,
( ~ root_occ(esk19_1(esk17_1(esk20_0)),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_54,c_0_52]) ).
fof(c_0_62,plain,
! [X467,X468,X469,X470] :
( ~ occurrence_of(X469,X470)
| atomic(X470)
| ~ leaf_occ(X467,X469)
| ~ leaf_occ(X468,X469)
| X467 = X468 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])]) ).
cnf(c_0_63,negated_conjecture,
( leaf_occ(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| root_occ(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_64,negated_conjecture,
subactivity_occurrence(esk19_1(esk17_1(esk20_0)),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_58,c_0_52]) ).
cnf(c_0_65,negated_conjecture,
arboreal(esk19_1(esk17_1(esk20_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_59]),c_0_60])]) ).
cnf(c_0_66,negated_conjecture,
~ root_occ(esk19_1(esk17_1(esk20_0)),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_61,c_0_57]) ).
cnf(c_0_67,plain,
( atomic(X2)
| X3 = X4
| ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ leaf_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_68,negated_conjecture,
leaf_occ(esk19_1(esk17_1(esk20_0)),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]),c_0_66]) ).
cnf(c_0_69,plain,
( leaf_occ(esk18_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_70,negated_conjecture,
( X1 = esk19_1(esk17_1(esk20_0))
| atomic(X2)
| ~ leaf_occ(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| ~ occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_71,negated_conjecture,
leaf_occ(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_69,c_0_57]) ).
fof(c_0_72,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
fof(c_0_73,plain,
! [X345,X346,X347] :
( ~ occurrence_of(X345,X346)
| ~ occurrence_of(X345,X347)
| X346 = X347 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
cnf(c_0_74,plain,
( occurrence_of(esk18_1(X1),tptp3)
| occurrence_of(esk18_1(X1),tptp2)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_75,negated_conjecture,
( esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) = esk19_1(esk17_1(esk20_0))
| atomic(X1)
| ~ occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_77,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_78,negated_conjecture,
( occurrence_of(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),tptp2)
| occurrence_of(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),tptp3) ),
inference(spm,[status(thm)],[c_0_74,c_0_57]) ).
cnf(c_0_79,negated_conjecture,
esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) = esk19_1(esk17_1(esk20_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_57]),c_0_76]) ).
cnf(c_0_80,negated_conjecture,
( X1 = tptp1
| ~ occurrence_of(esk19_1(esk17_1(esk20_0)),X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_59]) ).
cnf(c_0_81,negated_conjecture,
( occurrence_of(esk19_1(esk17_1(esk20_0)),tptp3)
| occurrence_of(esk19_1(esk17_1(esk20_0)),tptp2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79]),c_0_79]) ).
cnf(c_0_82,plain,
tptp1 != tptp2,
inference(split_conjunct,[status(thm)],[sos_60]) ).
cnf(c_0_83,negated_conjecture,
occurrence_of(esk19_1(esk17_1(esk20_0)),tptp3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_84,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[sos_59]) ).
cnf(c_0_85,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_83]),c_0_84]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO005+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n020.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:29:50 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.62/1.84 % Version : CSE_E---1.7
% 1.62/1.84 % Problem : theBenchmark.p
% 1.62/1.84 % SZS status Theorem for theBenchmark.p
% 1.62/1.84 % SZS output start CNFRefutation
% See solution above
% 1.62/1.85 % Total time : 1.370s
%------------------------------------------------------------------------------