%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO010+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:59:32 PM UTC 2026
% Result : Theorem 0.21s 5.52s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 12 unt; 0 def)
% Number of atoms : 144 ( 10 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 160 ( 52 ~; 59 |; 39 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 62 ( 3 sgn 27 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X110] :
( occurrence_of(X110,tptp0)
=> ? [X111,X112] :
( ( occurrence_of(X112,tptp2)
=> ~ ? [X114] :
( min_precedes(X111,X114,tptp0)
& occurrence_of(X114,tptp1) ) )
& ( occurrence_of(X112,tptp1)
=> ~ ? [X113] :
( min_precedes(X111,X113,tptp0)
& occurrence_of(X113,tptp2) ) )
& leaf_occ(X112,X110) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_35,axiom,
! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108,X109] :
( leaf_occ(X109,X106)
& next_subocc(X108,X109,tptp0)
& ( occurrence_of(X109,tptp2)
| occurrence_of(X109,tptp1) )
& next_subocc(X107,X108,tptp0)
& occurrence_of(X108,tptp4)
& root_occ(X107,X106)
& occurrence_of(X107,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X7)
& occurrence_of(X5,X6) )
=> X6 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_34,axiom,
! [X103,X104] :
( leaf_occ(X103,X104)
<=> ? [X105] :
( leaf(X103,X105)
& subactivity_occurrence(X103,X104)
& occurrence_of(X104,X105) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(sos_21,axiom,
! [X57,X58] :
( leaf(X57,X58)
<=> ( ~ ? [X60] : min_precedes(X57,X60,X58)
& ( ? [X59] : min_precedes(X59,X57,X58)
| root(X57,X58) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(sos_47,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
fof(c_0_6,negated_conjecture,
~ ! [X110] :
( occurrence_of(X110,tptp0)
=> ? [X111,X112] :
( ( occurrence_of(X112,tptp2)
=> ~ ? [X114] :
( min_precedes(X111,X114,tptp0)
& occurrence_of(X114,tptp1) ) )
& ( occurrence_of(X112,tptp1)
=> ~ ? [X113] :
( min_precedes(X111,X113,tptp0)
& occurrence_of(X113,tptp2) ) )
& leaf_occ(X112,X110) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_7,plain,
! [X237] :
( ( ~ occurrence_of(X237,tptp0)
| leaf_occ(esk18_1(X237),X237) )
& ( ~ occurrence_of(X237,tptp0)
| next_subocc(esk17_1(X237),esk18_1(X237),tptp0) )
& ( ~ occurrence_of(X237,tptp0)
| occurrence_of(esk18_1(X237),tptp2)
| occurrence_of(esk18_1(X237),tptp1) )
& ( ~ occurrence_of(X237,tptp0)
| next_subocc(esk16_1(X237),esk17_1(X237),tptp0) )
& ( ~ occurrence_of(X237,tptp0)
| occurrence_of(esk17_1(X237),tptp4) )
& ( ~ occurrence_of(X237,tptp0)
| root_occ(esk16_1(X237),X237) )
& ( ~ occurrence_of(X237,tptp0)
| occurrence_of(esk16_1(X237),tptp3) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])])])])]) ).
fof(c_0_8,negated_conjecture,
! [X242,X243] :
( ( ~ leaf_occ(X243,esk19_0)
| min_precedes(X242,esk20_2(X242,X243),tptp0)
| min_precedes(X242,esk21_2(X242,X243),tptp0) )
& ( ~ leaf_occ(X243,esk19_0)
| min_precedes(X242,esk20_2(X242,X243),tptp0)
| occurrence_of(esk21_2(X242,X243),tptp1) )
& ( ~ leaf_occ(X243,esk19_0)
| min_precedes(X242,esk20_2(X242,X243),tptp0)
| occurrence_of(X243,tptp2) )
& ( ~ leaf_occ(X243,esk19_0)
| occurrence_of(esk20_2(X242,X243),tptp2)
| min_precedes(X242,esk21_2(X242,X243),tptp0) )
& ( ~ leaf_occ(X243,esk19_0)
| occurrence_of(esk20_2(X242,X243),tptp2)
| occurrence_of(esk21_2(X242,X243),tptp1) )
& ( ~ leaf_occ(X243,esk19_0)
| occurrence_of(esk20_2(X242,X243),tptp2)
| occurrence_of(X243,tptp2) )
& ( ~ leaf_occ(X243,esk19_0)
| occurrence_of(X243,tptp1)
| min_precedes(X242,esk21_2(X242,X243),tptp0) )
& ( ~ leaf_occ(X243,esk19_0)
| occurrence_of(X243,tptp1)
| occurrence_of(esk21_2(X242,X243),tptp1) )
& ( ~ leaf_occ(X243,esk19_0)
| occurrence_of(X243,tptp1)
| occurrence_of(X243,tptp2) )
& occurrence_of(esk19_0,tptp0) ),
inference(distribute,[status(thm)],[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_6])])])])])]) ).
fof(c_0_9,plain,
! [X119,X120,X121] :
( X120 = X121
| ~ occurrence_of(X119,X121)
| ~ occurrence_of(X119,X120) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])]) ).
fof(c_0_10,plain,
! [X231,X232,X234,X235,X236] :
( ( leaf_occ(X234,X235)
| ~ leaf(X234,X236)
| ~ subactivity_occurrence(X234,X235)
| ~ occurrence_of(X235,X236) )
& ( ~ leaf_occ(X231,X232)
| leaf(X231,esk15_2(X231,X232)) )
& ( ~ leaf_occ(X231,X232)
| subactivity_occurrence(X231,X232) )
& ( ~ leaf_occ(X231,X232)
| occurrence_of(X232,esk15_2(X231,X232)) ) ),
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)],[sos_34])])])])])])]) ).
cnf(c_0_11,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk18_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
occurrence_of(esk19_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( ~ leaf_occ(X2,X1)
| occurrence_of(X1,esk15_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
leaf_occ(esk18_1(esk19_0),esk19_0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_16,plain,
! [X171,X172,X174,X175,X176,X177] :
( ( leaf(X175,X176)
| min_precedes(X175,esk7_2(X175,X176),X176)
| ~ min_precedes(X177,X175,X176) )
& ( leaf(X175,X176)
| min_precedes(X175,esk7_2(X175,X176),X176)
| ~ root(X175,X176) )
& ( ~ leaf(X171,X172)
| ~ min_precedes(X171,X174,X172) )
& ( ~ leaf(X171,X172)
| min_precedes(esk6_2(X171,X172),X171,X172)
| root(X171,X172) ) ),
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)],[sos_21])])])])])])]) ).
cnf(c_0_17,negated_conjecture,
( ~ leaf_occ(X2,esk19_0)
| occurrence_of(X2,tptp1)
| min_precedes(X1,esk21_2(X1,X2),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
( ~ occurrence_of(esk19_0,X1)
| X1 = tptp0 ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_19,negated_conjecture,
occurrence_of(esk19_0,esk15_2(esk18_1(esk19_0),esk19_0)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( ~ leaf(X1,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( occurrence_of(esk18_1(esk19_0),tptp1)
| min_precedes(X1,esk21_2(X1,esk18_1(esk19_0)),tptp0) ),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_22,plain,
( ~ leaf_occ(X1,X2)
| leaf(X1,esk15_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,negated_conjecture,
esk15_2(esk18_1(esk19_0),esk19_0) = tptp0,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( ~ leaf_occ(X1,esk19_0)
| min_precedes(X2,esk20_2(X2,X1),tptp0)
| occurrence_of(X1,tptp2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,negated_conjecture,
( ~ leaf(X1,tptp0)
| occurrence_of(esk18_1(esk19_0),tptp1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
leaf(esk18_1(esk19_0),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_15]),c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( occurrence_of(esk18_1(esk19_0),tptp2)
| min_precedes(X1,esk20_2(X1,esk18_1(esk19_0)),tptp0) ),
inference(spm,[status(thm)],[c_0_24,c_0_15]) ).
fof(c_0_28,plain,
tptp1 != tptp2,
inference(fof_simplification,[status(thm)],[sos_47]) ).
cnf(c_0_29,negated_conjecture,
occurrence_of(esk18_1(esk19_0),tptp1),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( ~ leaf(X1,tptp0)
| occurrence_of(esk18_1(esk19_0),tptp2) ),
inference(spm,[status(thm)],[c_0_20,c_0_27]) ).
fof(c_0_31,plain,
tptp1 != tptp2,
inference(fof_nnf,[status(thm)],[c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( ~ occurrence_of(esk18_1(esk19_0),X1)
| X1 = tptp1 ),
inference(spm,[status(thm)],[c_0_13,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
occurrence_of(esk18_1(esk19_0),tptp2),
inference(spm,[status(thm)],[c_0_30,c_0_26]) ).
cnf(c_0_34,plain,
tptp1 != tptp2,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PRO010+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/5.44 % Computer : n016.cluster.edu
% 0.18/5.44 % Model : x86_64 x86_64
% 0.18/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.44 % Memory : 8046.5625MB
% 0.18/5.44 % OS : Linux 6.8.0-71-generic
% 0.18/5.44 % CPULimit : 300
% 0.18/5.44 % WCLimit : 300
% 0.18/5.44 % DateTime : Mon Sep 21 03:47:14 UTC 2026
% 0.18/5.44 % CPUTime :
% 0.18/5.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/5.48 Running first-order theorem proving
% 0.18/5.48 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
% 0.21/5.52 % Version: 3.5.1
% 0.21/5.52 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/5.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/5.52 % Starting new_bool_3 with 300s (1) cores
% 0.21/5.52 % Starting new_bool_1 with 300s (1) cores
% 0.21/5.52 % Starting sh5l with 300s (1) cores
% 0.21/5.52 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1475107 completed with status 0
% 0.21/5.52 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.21/5.52 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/5.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/5.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/5.52 % No SInE strategy applied
% 0.21/5.52 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.21/5.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/5.52 % Starting SubtermCWHack with 136s (1) cores
% 0.21/5.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.21/5.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 0.21/5.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.21/5.52 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.21/5.52 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with pid 1475115 completed with status 0
% 0.21/5.52 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 0.21/5.52 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/5.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/5.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/5.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/5.52 % No SInE strategy applied
% 0.21/5.52 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.21/5.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/5.52 % Starting SubtermCWHack with 136s (1) cores
% 0.21/5.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.21/5.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 0.21/5.52 % Preprocessing time : 0.001 s
% 0.21/5.52 % Presaturation interreduction done
% 0.21/5.52
% 0.21/5.52 % Proof found!
% 0.21/5.52 % SZS status Theorem
% 0.21/5.52 % SZS output start CNFRefutation
% See solution above
% 0.21/5.52 % Parsed axioms : 49
% 0.21/5.52 % Removed by relevancy pruning/SinE : 0
% 0.21/5.52 % Initial clauses : 95
% 0.21/5.52 % Removed in clause preprocessing : 0
% 0.21/5.52 % Initial clauses in saturation : 95
% 0.21/5.52 % Processed clauses : 372
% 0.21/5.52 % ...of these trivial : 3
% 0.21/5.52 % ...subsumed : 22
% 0.21/5.52 % ...remaining for further processing : 347
% 0.21/5.52 % Other redundant clauses eliminated : 0
% 0.21/5.52 % Clauses deleted for lack of memory : 0
% 0.21/5.52 % Backward-subsumed : 4
% 0.21/5.52 % Backward-rewritten : 30
% 0.21/5.52 % Generated clauses : 484
% 0.21/5.52 % ...of the previous two non-redundant : 403
% 0.21/5.52 % ...aggressively subsumed : 0
% 0.21/5.52 % Contextual simplify-reflections : 2
% 0.21/5.52 % Paramodulations : 484
% 0.21/5.52 % Factorizations : 0
% 0.21/5.52 % NegExts : 0
% 0.21/5.52 % Equation resolutions : 0
% 0.21/5.52 % Disequality decompositions : 0
% 0.21/5.52 % Total rewrite steps : 175
% 0.21/5.52 % ...of those cached : 124
% 0.21/5.52 % Propositional unsat checks : 0
% 0.21/5.52 % Propositional check models : 0
% 0.21/5.52 % Propositional check unsatisfiable : 0
% 0.21/5.52 % Propositional clauses : 0
% 0.21/5.52 % Propositional clauses after purity: 0
% 0.21/5.52 % Propositional unsat core size : 0
% 0.21/5.52 % Propositional preprocessing time : 0.000
% 0.21/5.52 % Propositional encoding time : 0.000
% 0.21/5.52 % Propositional solver time : 0.000
% 0.21/5.52 % Success case prop preproc time : 0.000
% 0.21/5.52 % Success case prop encoding time : 0.000
% 0.21/5.52 % Success case prop solver time : 0.000
% 0.21/5.52 % Current number of processed clauses : 218
% 0.21/5.52 % Positive orientable unit clauses : 85
% 0.21/5.52 % Positive unorientable unit clauses: 0
% 0.21/5.52 % Negative unit clauses : 22
% 0.21/5.52 % Non-unit-clauses : 111
% 0.21/5.52 % Current number of unprocessed clauses: 196
% 0.21/5.52 % ...number of literals in the above : 422
% 0.21/5.52 % Current number of archived formulas : 0
% 0.21/5.52 % Current number of archived clauses : 129
% 0.21/5.52 % Clause-clause subsumption calls (NU) : 4955
% 0.21/5.52 % Rec. Clause-clause subsumption calls : 3321
% 0.21/5.52 % Non-unit clause-clause subsumptions : 9
% 0.21/5.52 % Unit Clause-clause subsumption calls : 432
% 0.21/5.52 % Rewrite failures with RHS unbound : 0
% 0.21/5.52 % BW rewrite match attempts : 13
% 0.21/5.52 % BW rewrite match successes : 13
% 0.21/5.52 % Condensation attempts : 0
% 0.21/5.52 % Condensation successes : 0
% 0.21/5.52 % Termbank termtop insertions : 13520
% 0.21/5.52 % Search garbage collected termcells : 1396
% 0.21/5.52
% 0.21/5.52 % -------------------------------------------------
% 0.21/5.52 % User time : 0.018 s
% 0.21/5.52 % System time : 0.005 s
% 0.21/5.52 % Total time : 0.023 s
% 0.21/5.52 % Maximum resident set size: 3948 pages
% 0.21/5.52
% 0.21/5.52 % -------------------------------------------------
% 0.21/5.52 % User time : 0.070 s
% 0.21/5.52 % System time : 0.019 s
% 0.21/5.52 % Total time : 0.088 s
% 0.21/5.52 % Maximum resident set size: 4864 pages
% 0.21/5.52 % E exiting
%------------------------------------------------------------------------------