%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO016+4 : 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 : n019.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 05:01:56 PM UTC 2026
% Result : Theorem 1.47s 1.98s
% Output : CNFRefutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 91 ( 34 unt; 0 def)
% Number of atoms : 452 ( 7 equ)
% Maximal formula atoms : 130 ( 4 avg)
% Number of connectives : 589 ( 228 ~; 248 |; 93 &)
% ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 163 ( 3 sgn 84 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_32,axiom,
! [X102,X103] :
( ( occurrence_of(X103,tptp0)
& subactivity_occurrence(X102,X103)
& arboreal(X102)
& ~ leaf_occ(X102,X103) )
=> ? [X104,X105,X106] :
( occurrence_of(X104,tptp3)
& next_subocc(X102,X104,tptp0)
& occurrence_of(X105,tptp4)
& next_subocc(X104,X105,tptp0)
& ( occurrence_of(X106,tptp1)
| occurrence_of(X106,tptp2) )
& next_subocc(X105,X106,tptp0)
& leaf_occ(X106,X103) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(goals,conjecture,
! [X107,X108] :
( ( occurrence_of(X108,tptp0)
& subactivity_occurrence(X107,X108)
& arboreal(X107)
& ~ leaf_occ(X107,X108) )
=> ? [X109,X110] :
( occurrence_of(X109,tptp3)
& next_subocc(X107,X109,tptp0)
& ( occurrence_of(X110,tptp1)
| occurrence_of(X110,tptp2) )
& min_precedes(X109,X110,tptp0)
& leaf_occ(X110,X108)
& ( occurrence_of(X110,tptp1)
=> ~ ? [X111] :
( occurrence_of(X111,tptp2)
& min_precedes(X109,X111,tptp0) ) )
& ( occurrence_of(X110,tptp2)
=> ~ ? [X112] :
( occurrence_of(X112,tptp1)
& min_precedes(X109,X112,tptp0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_26,axiom,
! [X79,X80,X81] :
( next_subocc(X79,X80,X81)
<=> ( min_precedes(X79,X80,X81)
& ~ ? [X82] :
( min_precedes(X79,X82,X81)
& min_precedes(X82,X80,X81) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(sos_27,axiom,
! [X83,X84,X85,X86] :
( ( min_precedes(X83,X84,X85)
& occurrence_of(X86,X85)
& subactivity_occurrence(X84,X86) )
=> subactivity_occurrence(X83,X86) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
fof(sos_18,axiom,
! [X56,X57] :
( leaf_occ(X56,X57)
<=> ? [X58] :
( occurrence_of(X57,X58)
& subactivity_occurrence(X56,X57)
& leaf(X56,X58) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(sos_09,axiom,
! [X32,X33,X34] :
( ( occurrence_of(X32,X34)
& leaf_occ(X33,X32) )
=> ~ ? [X35] : min_precedes(X33,X35,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
fof(sos_28,axiom,
! [X87,X88,X89,X90] :
( ( occurrence_of(X89,X90)
& ~ atomic(X90)
& leaf_occ(X87,X89)
& leaf_occ(X88,X89) )
=> X87 = X88 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).
fof(sos_16,axiom,
! [X52,X53] :
( occurrence_of(X52,X53)
=> ( arboreal(X52)
<=> atomic(X53) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
fof(sos_35,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(sos_34,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(sos_24,axiom,
! [X73,X74,X75] :
( min_precedes(X73,X74,X75)
=> precedes(X73,X74) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
fof(sos_21,axiom,
! [X64,X65] :
( precedes(X64,X65)
<=> ( earlier(X64,X65)
& legal(X65) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(sos_30,axiom,
! [X95,X96,X97] :
( ( earlier(X95,X96)
& earlier(X96,X97) )
=> earlier(X95,X97) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_30) ).
fof(sos_31,axiom,
! [X98,X99,X100,X101] :
( ( min_precedes(X98,X99,X101)
& min_precedes(X98,X100,X101)
& precedes(X99,X100) )
=> min_precedes(X99,X100,X101) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_31) ).
fof(c_0_14,plain,
! [X102,X103] :
( ( occurrence_of(X103,tptp0)
& subactivity_occurrence(X102,X103)
& arboreal(X102)
& ~ leaf_occ(X102,X103) )
=> ? [X104,X105,X106] :
( occurrence_of(X104,tptp3)
& next_subocc(X102,X104,tptp0)
& occurrence_of(X105,tptp4)
& next_subocc(X104,X105,tptp0)
& ( occurrence_of(X106,tptp1)
| occurrence_of(X106,tptp2) )
& next_subocc(X105,X106,tptp0)
& leaf_occ(X106,X103) ) ),
inference(fof_simplification,[status(thm)],[sos_32]) ).
fof(c_0_15,negated_conjecture,
~ ! [X107,X108] :
( ( occurrence_of(X108,tptp0)
& subactivity_occurrence(X107,X108)
& arboreal(X107)
& ~ leaf_occ(X107,X108) )
=> ? [X109,X110] :
( occurrence_of(X109,tptp3)
& next_subocc(X107,X109,tptp0)
& ( occurrence_of(X110,tptp1)
| occurrence_of(X110,tptp2) )
& min_precedes(X109,X110,tptp0)
& leaf_occ(X110,X108)
& ( occurrence_of(X110,tptp1)
=> ~ ? [X111] :
( occurrence_of(X111,tptp2)
& min_precedes(X109,X111,tptp0) ) )
& ( occurrence_of(X110,tptp2)
=> ~ ? [X112] :
( occurrence_of(X112,tptp1)
& min_precedes(X109,X112,tptp0) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_16,plain,
! [X343,X344] :
( ( occurrence_of(esk13_2(X343,X344),tptp3)
| ~ occurrence_of(X344,tptp0)
| ~ subactivity_occurrence(X343,X344)
| ~ arboreal(X343)
| leaf_occ(X343,X344) )
& ( next_subocc(X343,esk13_2(X343,X344),tptp0)
| ~ occurrence_of(X344,tptp0)
| ~ subactivity_occurrence(X343,X344)
| ~ arboreal(X343)
| leaf_occ(X343,X344) )
& ( occurrence_of(esk14_2(X343,X344),tptp4)
| ~ occurrence_of(X344,tptp0)
| ~ subactivity_occurrence(X343,X344)
| ~ arboreal(X343)
| leaf_occ(X343,X344) )
& ( next_subocc(esk13_2(X343,X344),esk14_2(X343,X344),tptp0)
| ~ occurrence_of(X344,tptp0)
| ~ subactivity_occurrence(X343,X344)
| ~ arboreal(X343)
| leaf_occ(X343,X344) )
& ( occurrence_of(esk15_2(X343,X344),tptp1)
| occurrence_of(esk15_2(X343,X344),tptp2)
| ~ occurrence_of(X344,tptp0)
| ~ subactivity_occurrence(X343,X344)
| ~ arboreal(X343)
| leaf_occ(X343,X344) )
& ( next_subocc(esk14_2(X343,X344),esk15_2(X343,X344),tptp0)
| ~ occurrence_of(X344,tptp0)
| ~ subactivity_occurrence(X343,X344)
| ~ arboreal(X343)
| leaf_occ(X343,X344) )
& ( leaf_occ(esk15_2(X343,X344),X344)
| ~ occurrence_of(X344,tptp0)
| ~ subactivity_occurrence(X343,X344)
| ~ arboreal(X343)
| leaf_occ(X343,X344) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_17,negated_conjecture,
! [X350,X351] :
( occurrence_of(esk17_0,tptp0)
& subactivity_occurrence(esk16_0,esk17_0)
& arboreal(esk16_0)
& ~ leaf_occ(esk16_0,esk17_0)
& ( occurrence_of(X351,tptp2)
| occurrence_of(X351,tptp1)
| ~ occurrence_of(X351,tptp1)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( occurrence_of(esk19_2(X350,X351),tptp1)
| occurrence_of(X351,tptp1)
| ~ occurrence_of(X351,tptp1)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( min_precedes(X350,esk19_2(X350,X351),tptp0)
| occurrence_of(X351,tptp1)
| ~ occurrence_of(X351,tptp1)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( occurrence_of(X351,tptp2)
| occurrence_of(esk18_2(X350,X351),tptp2)
| ~ occurrence_of(X351,tptp1)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( occurrence_of(esk19_2(X350,X351),tptp1)
| occurrence_of(esk18_2(X350,X351),tptp2)
| ~ occurrence_of(X351,tptp1)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( min_precedes(X350,esk19_2(X350,X351),tptp0)
| occurrence_of(esk18_2(X350,X351),tptp2)
| ~ occurrence_of(X351,tptp1)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( occurrence_of(X351,tptp2)
| min_precedes(X350,esk18_2(X350,X351),tptp0)
| ~ occurrence_of(X351,tptp1)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( occurrence_of(esk19_2(X350,X351),tptp1)
| min_precedes(X350,esk18_2(X350,X351),tptp0)
| ~ occurrence_of(X351,tptp1)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( min_precedes(X350,esk19_2(X350,X351),tptp0)
| min_precedes(X350,esk18_2(X350,X351),tptp0)
| ~ occurrence_of(X351,tptp1)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( occurrence_of(X351,tptp2)
| occurrence_of(X351,tptp1)
| ~ occurrence_of(X351,tptp2)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( occurrence_of(esk19_2(X350,X351),tptp1)
| occurrence_of(X351,tptp1)
| ~ occurrence_of(X351,tptp2)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( min_precedes(X350,esk19_2(X350,X351),tptp0)
| occurrence_of(X351,tptp1)
| ~ occurrence_of(X351,tptp2)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( occurrence_of(X351,tptp2)
| occurrence_of(esk18_2(X350,X351),tptp2)
| ~ occurrence_of(X351,tptp2)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( occurrence_of(esk19_2(X350,X351),tptp1)
| occurrence_of(esk18_2(X350,X351),tptp2)
| ~ occurrence_of(X351,tptp2)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( min_precedes(X350,esk19_2(X350,X351),tptp0)
| occurrence_of(esk18_2(X350,X351),tptp2)
| ~ occurrence_of(X351,tptp2)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( occurrence_of(X351,tptp2)
| min_precedes(X350,esk18_2(X350,X351),tptp0)
| ~ occurrence_of(X351,tptp2)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( occurrence_of(esk19_2(X350,X351),tptp1)
| min_precedes(X350,esk18_2(X350,X351),tptp0)
| ~ occurrence_of(X351,tptp2)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) )
& ( min_precedes(X350,esk19_2(X350,X351),tptp0)
| min_precedes(X350,esk18_2(X350,X351),tptp0)
| ~ occurrence_of(X351,tptp2)
| ~ occurrence_of(X350,tptp3)
| ~ next_subocc(esk16_0,X350,tptp0)
| ~ min_precedes(X350,X351,tptp0)
| ~ leaf_occ(X351,esk17_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).
cnf(c_0_18,plain,
( next_subocc(esk14_2(X1,X2),esk15_2(X1,X2),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
occurrence_of(esk17_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_20,plain,
! [X316,X317,X318,X319,X320,X321,X322] :
( ( min_precedes(X316,X317,X318)
| ~ next_subocc(X316,X317,X318) )
& ( ~ min_precedes(X316,X319,X318)
| ~ min_precedes(X319,X317,X318)
| ~ next_subocc(X316,X317,X318) )
& ( min_precedes(X320,esk12_3(X320,X321,X322),X322)
| ~ min_precedes(X320,X321,X322)
| next_subocc(X320,X321,X322) )
& ( min_precedes(esk12_3(X320,X321,X322),X321,X322)
| ~ min_precedes(X320,X321,X322)
| next_subocc(X320,X321,X322) ) ),
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_26])])])])])]) ).
cnf(c_0_21,negated_conjecture,
( next_subocc(esk14_2(X1,esk17_0),esk15_2(X1,esk17_0),tptp0)
| leaf_occ(X1,esk17_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
subactivity_occurrence(esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
arboreal(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
~ leaf_occ(esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( leaf_occ(esk15_2(X1,X2),X2)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_26,plain,
! [X324,X325,X326,X327] :
( ~ min_precedes(X324,X325,X326)
| ~ occurrence_of(X327,X326)
| ~ subactivity_occurrence(X325,X327)
| subactivity_occurrence(X324,X327) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_27])]) ).
cnf(c_0_27,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
next_subocc(esk14_2(esk16_0,esk17_0),esk15_2(esk16_0,esk17_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),c_0_24]) ).
fof(c_0_29,plain,
! [X287,X288,X290,X291,X292] :
( ( occurrence_of(X288,esk9_2(X287,X288))
| ~ leaf_occ(X287,X288) )
& ( subactivity_occurrence(X287,X288)
| ~ leaf_occ(X287,X288) )
& ( leaf(X287,esk9_2(X287,X288))
| ~ leaf_occ(X287,X288) )
& ( ~ occurrence_of(X291,X292)
| ~ subactivity_occurrence(X290,X291)
| ~ leaf(X290,X292)
| leaf_occ(X290,X291) ) ),
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_18])])])])])]) ).
cnf(c_0_30,negated_conjecture,
( leaf_occ(esk15_2(X1,esk17_0),esk17_0)
| leaf_occ(X1,esk17_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_31,plain,
( occurrence_of(esk14_2(X1,X2),tptp4)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_32,plain,
! [X256,X257,X258,X259] :
( ~ occurrence_of(X256,X258)
| ~ leaf_occ(X257,X256)
| ~ min_precedes(X257,X259,X258) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])]) ).
fof(c_0_33,plain,
! [X87,X88,X89,X90] :
( ( occurrence_of(X89,X90)
& ~ atomic(X90)
& leaf_occ(X87,X89)
& leaf_occ(X88,X89) )
=> X87 = X88 ),
inference(fof_simplification,[status(thm)],[sos_28]) ).
cnf(c_0_34,plain,
( subactivity_occurrence(X1,X4)
| ~ min_precedes(X1,X2,X3)
| ~ occurrence_of(X4,X3)
| ~ subactivity_occurrence(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,negated_conjecture,
min_precedes(esk14_2(esk16_0,esk17_0),esk15_2(esk16_0,esk17_0),tptp0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,negated_conjecture,
leaf_occ(esk15_2(esk16_0,esk17_0),esk17_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_22]),c_0_23])]),c_0_24]) ).
fof(c_0_38,plain,
! [X283,X284] :
( ( ~ arboreal(X283)
| atomic(X284)
| ~ occurrence_of(X283,X284) )
& ( ~ atomic(X284)
| arboreal(X283)
| ~ occurrence_of(X283,X284) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_16])])]) ).
cnf(c_0_39,negated_conjecture,
( leaf_occ(X1,esk17_0)
| occurrence_of(esk14_2(X1,esk17_0),tptp4)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_19]) ).
cnf(c_0_40,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_41,plain,
! [X328,X329,X330,X331] :
( ~ occurrence_of(X330,X331)
| atomic(X331)
| ~ leaf_occ(X328,X330)
| ~ leaf_occ(X329,X330)
| X328 = X329 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
cnf(c_0_42,negated_conjecture,
( subactivity_occurrence(esk14_2(esk16_0,esk17_0),X1)
| ~ subactivity_occurrence(esk15_2(esk16_0,esk17_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_43,negated_conjecture,
subactivity_occurrence(esk15_2(esk16_0,esk17_0),esk17_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
occurrence_of(esk14_2(esk16_0,esk17_0),tptp4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_46,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_35]) ).
cnf(c_0_47,negated_conjecture,
( ~ leaf_occ(esk14_2(esk16_0,esk17_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_48,plain,
( atomic(X2)
| X3 = X4
| ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ leaf_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,negated_conjecture,
subactivity_occurrence(esk14_2(esk16_0,esk17_0),esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_19]),c_0_43])]) ).
cnf(c_0_50,negated_conjecture,
arboreal(esk14_2(esk16_0,esk17_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_51,negated_conjecture,
~ leaf_occ(esk14_2(esk16_0,esk17_0),esk17_0),
inference(spm,[status(thm)],[c_0_47,c_0_19]) ).
cnf(c_0_52,negated_conjecture,
( X1 = esk15_2(esk16_0,esk17_0)
| atomic(X2)
| ~ leaf_occ(X1,esk17_0)
| ~ occurrence_of(esk17_0,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_37]) ).
cnf(c_0_53,negated_conjecture,
leaf_occ(esk15_2(esk14_2(esk16_0,esk17_0),esk17_0),esk17_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_49]),c_0_50])]),c_0_51]) ).
fof(c_0_54,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
cnf(c_0_55,negated_conjecture,
( esk15_2(esk14_2(esk16_0,esk17_0),esk17_0) = esk15_2(esk16_0,esk17_0)
| atomic(X1)
| ~ occurrence_of(esk17_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_57,negated_conjecture,
esk15_2(esk14_2(esk16_0,esk17_0),esk17_0) = esk15_2(esk16_0,esk17_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_19]),c_0_56]) ).
cnf(c_0_58,plain,
( next_subocc(esk13_2(X1,X2),esk14_2(X1,X2),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_59,plain,
! [X310,X311,X312] :
( ~ min_precedes(X310,X311,X312)
| precedes(X310,X311) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])]) ).
cnf(c_0_60,negated_conjecture,
next_subocc(esk14_2(esk14_2(esk16_0,esk17_0),esk17_0),esk15_2(esk16_0,esk17_0),tptp0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_49]),c_0_50])]),c_0_51]),c_0_57]) ).
cnf(c_0_61,negated_conjecture,
( next_subocc(esk13_2(X1,esk17_0),esk14_2(X1,esk17_0),tptp0)
| leaf_occ(X1,esk17_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_19]) ).
fof(c_0_62,plain,
! [X301,X302] :
( ( earlier(X301,X302)
| ~ precedes(X301,X302) )
& ( legal(X302)
| ~ precedes(X301,X302) )
& ( ~ earlier(X301,X302)
| ~ legal(X302)
| precedes(X301,X302) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_21])])]) ).
cnf(c_0_63,plain,
( precedes(X1,X2)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,negated_conjecture,
min_precedes(esk14_2(esk14_2(esk16_0,esk17_0),esk17_0),esk15_2(esk16_0,esk17_0),tptp0),
inference(spm,[status(thm)],[c_0_27,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
next_subocc(esk13_2(esk14_2(esk16_0,esk17_0),esk17_0),esk14_2(esk14_2(esk16_0,esk17_0),esk17_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_49]),c_0_50])]),c_0_51]) ).
fof(c_0_66,plain,
! [X336,X337,X338] :
( ~ earlier(X336,X337)
| ~ earlier(X337,X338)
| earlier(X336,X338) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_30])]) ).
cnf(c_0_67,plain,
( earlier(X1,X2)
| ~ precedes(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_68,negated_conjecture,
precedes(esk14_2(esk14_2(esk16_0,esk17_0),esk17_0),esk15_2(esk16_0,esk17_0)),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,negated_conjecture,
min_precedes(esk13_2(esk14_2(esk16_0,esk17_0),esk17_0),esk14_2(esk14_2(esk16_0,esk17_0),esk17_0),tptp0),
inference(spm,[status(thm)],[c_0_27,c_0_65]) ).
cnf(c_0_70,plain,
( earlier(X1,X3)
| ~ earlier(X1,X2)
| ~ earlier(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,negated_conjecture,
earlier(esk14_2(esk14_2(esk16_0,esk17_0),esk17_0),esk15_2(esk16_0,esk17_0)),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
precedes(esk13_2(esk14_2(esk16_0,esk17_0),esk17_0),esk14_2(esk14_2(esk16_0,esk17_0),esk17_0)),
inference(spm,[status(thm)],[c_0_63,c_0_69]) ).
cnf(c_0_73,plain,
( next_subocc(X1,esk13_2(X1,X2),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_74,plain,
! [X339,X340,X341,X342] :
( ~ min_precedes(X339,X340,X342)
| ~ min_precedes(X339,X341,X342)
| ~ precedes(X340,X341)
| min_precedes(X340,X341,X342) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_31])]) ).
cnf(c_0_75,plain,
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3)
| ~ next_subocc(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_76,negated_conjecture,
( earlier(X1,esk15_2(esk16_0,esk17_0))
| ~ earlier(X1,esk14_2(esk14_2(esk16_0,esk17_0),esk17_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
earlier(esk13_2(esk14_2(esk16_0,esk17_0),esk17_0),esk14_2(esk14_2(esk16_0,esk17_0),esk17_0)),
inference(spm,[status(thm)],[c_0_67,c_0_72]) ).
cnf(c_0_78,plain,
( legal(X1)
| ~ precedes(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_79,negated_conjecture,
precedes(esk14_2(esk16_0,esk17_0),esk15_2(esk16_0,esk17_0)),
inference(spm,[status(thm)],[c_0_63,c_0_35]) ).
cnf(c_0_80,negated_conjecture,
( next_subocc(X1,esk13_2(X1,esk17_0),tptp0)
| leaf_occ(X1,esk17_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_19]) ).
cnf(c_0_81,plain,
( min_precedes(X2,X4,X3)
| ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X1,X4,X3)
| ~ precedes(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_82,negated_conjecture,
( ~ min_precedes(X1,esk15_2(esk16_0,esk17_0),tptp0)
| ~ min_precedes(esk14_2(esk16_0,esk17_0),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_75,c_0_28]) ).
cnf(c_0_83,plain,
( precedes(X1,X2)
| ~ earlier(X1,X2)
| ~ legal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_84,negated_conjecture,
earlier(esk13_2(esk14_2(esk16_0,esk17_0),esk17_0),esk15_2(esk16_0,esk17_0)),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,negated_conjecture,
legal(esk15_2(esk16_0,esk17_0)),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,negated_conjecture,
next_subocc(esk14_2(esk16_0,esk17_0),esk13_2(esk14_2(esk16_0,esk17_0),esk17_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_49]),c_0_50])]),c_0_51]) ).
cnf(c_0_87,negated_conjecture,
( ~ precedes(X1,esk15_2(esk16_0,esk17_0))
| ~ min_precedes(esk14_2(esk16_0,esk17_0),X1,tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_35]),c_0_82]) ).
cnf(c_0_88,negated_conjecture,
precedes(esk13_2(esk14_2(esk16_0,esk17_0),esk17_0),esk15_2(esk16_0,esk17_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).
cnf(c_0_89,negated_conjecture,
min_precedes(esk14_2(esk16_0,esk17_0),esk13_2(esk14_2(esk16_0,esk17_0),esk17_0),tptp0),
inference(spm,[status(thm)],[c_0_27,c_0_86]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.25 % Problem : PRO016+4 : TPTP v9.2.1. Released v4.0.0.
% 0.10/0.25 % 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
% 0.12/0.46 % Computer : n019.cluster.edu
% 0.12/0.46 % Model : x86_64 x86_64
% 0.12/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.46 % Memory : 8042.1875MB
% 0.12/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.46 % CPULimit : 300
% 0.12/0.46 % WCLimit : 300
% 0.12/0.46 % DateTime : Tue May 5 01:31:44 EDT 2026
% 0.12/0.46 % CPUTime :
% 0.12/0.47 % start to proof: theBenchmark
% 1.47/1.98 % Version : CSE_E---1.7
% 1.47/1.98 % Problem : theBenchmark.p
% 1.47/1.98 % SZS status Theorem for theBenchmark.p
% 1.47/1.98 % SZS output start CNFRefutation
% See solution above
% 1.47/1.98 % Total time : 1.376s
%------------------------------------------------------------------------------