%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW348+1 : TPTP v9.3.1. Released v5.2.0.
% 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 03:10:21 PM UTC 2026
% Result : Theorem 1.29s 1.10s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 41 ( 25 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 37 ( 14 ~; 13 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 2 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
! [X106,X107] :
( ! [X333] :
( ! [X30] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X106),X30))
=> X333 = X30 )
=> X333 = X107 )
=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X106),X107)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(fact_com__det,axiom,
! [X4,X5,X6,X7] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X7),X6),X5))
=> ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(X7),X6),X4))
=> X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com__det) ).
fof(fact_com_Osimps_I18_J,axiom,
! [X69] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X69),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_com_Osimps_I18_J) ).
fof(c_0_3,negated_conjecture,
~ ! [X106,X107] :
( ! [X333] :
( ! [X30] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X106),X30))
=> X333 = X30 )
=> X333 = X107 )
=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),X106),X107)) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_4,plain,
! [X347,X348,X349,X350] :
( X347 = X348
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X350),X349),X347))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X350),X349),X348)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_com__det])])]) ).
fof(c_0_5,negated_conjecture,
! [X336] :
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),esk2_0))
& ( X336 = esk2_0
| X336 != esk3_1(X336) )
& ( X336 = esk2_0
| hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),esk3_1(X336))) ) ),
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_3])])])])])]) ).
cnf(c_0_6,plain,
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X1),X2),X3))
| X4 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( X1 = esk2_0
| hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),esk3_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),X1))
| X2 = esk2_0
| X1 = esk3_1(X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
fof(c_0_9,plain,
! [X69] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X69),
inference(fof_simplification,[status(thm)],[fact_com_Osimps_I18_J]) ).
cnf(c_0_10,negated_conjecture,
( X1 != esk3_1(X1)
| X1 = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( X2 = esk2_0
| X1 = esk2_0
| esk3_1(X1) = esk3_1(X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
fof(c_0_12,plain,
! [X469] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X469),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).
cnf(c_0_13,negated_conjecture,
( X1 = esk2_0
| esk3_1(X1) = esk2_0 ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_14,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
X1 = esk2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_13]),c_0_14]) ).
cnf(c_0_17,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW348+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 09:48:35 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 1.29/1.10 % Version: 3.5.1
% 1.29/1.10 % Preprocessing class: FMLMSLSMSSSNFFN.
% 1.29/1.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.29/1.10 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 1.29/1.10 % Starting new_bool_3 with 300s (1) cores
% 1.29/1.10 % Starting new_bool_1 with 300s (1) cores
% 1.29/1.10 % Starting sh5l with 300s (1) cores
% 1.29/1.10 % new_bool_3 with pid 3771854 completed with status 0
% 1.29/1.10 % Result found by new_bool_3
% 1.29/1.10 % Preprocessing class: FMLMSLSMSSSNFFN.
% 1.29/1.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.29/1.10 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 1.29/1.10 % Starting new_bool_3 with 300s (1) cores
% 1.29/1.10 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.29/1.10 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.29/1.10 % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.29/1.10 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.29/1.10 % Starting SubtermCWHack with 28s (1) cores
% 1.29/1.10 % SubtermCWHack with pid 3771857 completed with status 0
% 1.29/1.10 % Result found by SubtermCWHack
% 1.29/1.10 % Preprocessing class: FMLMSLSMSSSNFFN.
% 1.29/1.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.29/1.10 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 1.29/1.10 % Starting new_bool_3 with 300s (1) cores
% 1.29/1.10 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.29/1.10 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.29/1.10 % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.29/1.10 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.29/1.10 % Starting SubtermCWHack with 28s (1) cores
% 1.29/1.10 % Preprocessing time : 0.025 s
% 1.29/1.10
% 1.29/1.10 % Proof found!
% 1.29/1.10 % SZS status Theorem
% 1.29/1.10 % SZS output start CNFRefutation
% See solution above
% 1.29/1.10 % Parsed axioms : 5227
% 1.29/1.10 % Removed by relevancy pruning/SinE : 4785
% 1.29/1.10 % Initial clauses : 677
% 1.29/1.10 % Removed in clause preprocessing : 29
% 1.29/1.10 % Initial clauses in saturation : 648
% 1.29/1.10 % Processed clauses : 859
% 1.29/1.10 % ...of these trivial : 47
% 1.29/1.10 % ...subsumed : 440
% 1.29/1.10 % ...remaining for further processing : 372
% 1.29/1.10 % Other redundant clauses eliminated : 126
% 1.29/1.10 % Clauses deleted for lack of memory : 0
% 1.29/1.10 % Backward-subsumed : 11
% 1.29/1.10 % Backward-rewritten : 312
% 1.29/1.10 % Generated clauses : 2163
% 1.29/1.10 % ...of the previous two non-redundant : 1671
% 1.29/1.10 % ...aggressively subsumed : 0
% 1.29/1.10 % Contextual simplify-reflections : 1
% 1.29/1.10 % Paramodulations : 2017
% 1.29/1.10 % Factorizations : 4
% 1.29/1.10 % NegExts : 0
% 1.29/1.10 % Equation resolutions : 148
% 1.29/1.10 % Disequality decompositions : 0
% 1.29/1.10 % Total rewrite steps : 926
% 1.29/1.10 % ...of those cached : 355
% 1.29/1.10 % Propositional unsat checks : 0
% 1.29/1.10 % Propositional check models : 0
% 1.29/1.10 % Propositional check unsatisfiable : 0
% 1.29/1.10 % Propositional clauses : 0
% 1.29/1.10 % Propositional clauses after purity: 0
% 1.29/1.10 % Propositional unsat core size : 0
% 1.29/1.10 % Propositional preprocessing time : 0.000
% 1.29/1.10 % Propositional encoding time : 0.000
% 1.29/1.10 % Propositional solver time : 0.000
% 1.29/1.10 % Success case prop preproc time : 0.000
% 1.29/1.10 % Success case prop encoding time : 0.000
% 1.29/1.10 % Success case prop solver time : 0.000
% 1.29/1.10 % Current number of processed clauses : 5
% 1.29/1.10 % Positive orientable unit clauses : 3
% 1.29/1.10 % Positive unorientable unit clauses: 1
% 1.29/1.10 % Negative unit clauses : 0
% 1.29/1.10 % Non-unit-clauses : 1
% 1.29/1.10 % Current number of unprocessed clauses: 1357
% 1.29/1.10 % ...number of literals in the above : 2849
% 1.29/1.10 % Current number of archived formulas : 0
% 1.29/1.10 % Current number of archived clauses : 323
% 1.29/1.10 % Clause-clause subsumption calls (NU) : 5219
% 1.29/1.10 % Rec. Clause-clause subsumption calls : 5138
% 1.29/1.10 % Non-unit clause-clause subsumptions : 123
% 1.29/1.10 % Unit Clause-clause subsumption calls : 613
% 1.29/1.10 % Rewrite failures with RHS unbound : 111
% 1.29/1.10 % BW rewrite match attempts : 1382
% 1.29/1.10 % BW rewrite match successes : 426
% 1.29/1.10 % Condensation attempts : 0
% 1.29/1.10 % Condensation successes : 0
% 1.29/1.10 % Termbank termtop insertions : 221522
% 1.29/1.10 % Search garbage collected termcells : 55359
% 1.29/1.10
% 1.29/1.10 % -------------------------------------------------
% 1.29/1.10 % User time : 0.192 s
% 1.29/1.10 % System time : 0.042 s
% 1.29/1.10 % Total time : 0.234 s
% 1.29/1.10 % Maximum resident set size: 12964 pages
% 1.29/1.10
% 1.29/1.10 % -------------------------------------------------
% 1.29/1.10 % User time : 0.563 s
% 1.29/1.10 % System time : 0.061 s
% 1.29/1.10 % Total time : 0.624 s
% 1.29/1.10 % Maximum resident set size: 12800 pages
% 1.29/1.10 % E exiting
%------------------------------------------------------------------------------