%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW349+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 : n009.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 0.52s 1.00s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 39 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 13 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 27 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(conj_1,hypothesis,
! [X333] :
( ! [X30] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X30))
=> X333 = X30 )
=> X333 = v_s_H ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(conj_2,conjecture,
hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
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_4,plain,
! [X345,X346,X347,X348] :
( X345 = X346
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X348),X347),X345))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X348),X347),X346)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_com__det])])]) ).
fof(c_0_5,hypothesis,
! [X334] :
( ( X334 = v_s_H
| X334 != esk1_1(X334) )
& ( X334 = v_s_H
| hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),esk1_1(X334))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_1])])])])]) ).
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,hypothesis,
( X1 = v_s_H
| hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),esk1_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)),
inference(assume_negation,[status(cth)],[conj_2]) ).
cnf(c_0_9,hypothesis,
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),X1))
| X2 = v_s_H
| X1 = esk1_1(X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
fof(c_0_10,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_11,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_12,hypothesis,
( X1 != esk1_1(X1)
| X1 = v_s_H ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,hypothesis,
( X2 = v_s_H
| X1 = v_s_H
| esk1_1(X1) = esk1_1(X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
fof(c_0_14,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)),
inference(fof_nnf,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X467] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X467),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).
cnf(c_0_16,hypothesis,
( X1 = v_s_H
| esk1_1(X1) = v_s_H ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_17,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(v_c),v_Z),v_s_H)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,hypothesis,
X1 = v_s_H,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_16]),c_0_17]) ).
cnf(c_0_20,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW349+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n009.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Mon Sep 21 09:48:42 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.54 Running first-order theorem proving
% 0.24/0.54 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
% 0.52/1.00 % Version: 3.5.1
% 0.52/1.00 % Preprocessing class: FMLMSLSMSSSNFFN.
% 0.52/1.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/1.00 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.52/1.00 % Starting new_bool_3 with 300s (1) cores
% 0.52/1.00 % Starting new_bool_1 with 300s (1) cores
% 0.52/1.00 % Starting sh5l with 300s (1) cores
% 0.52/1.00 % new_bool_1 with pid 1451224 completed with status 0
% 0.52/1.00 % Result found by new_bool_1
% 0.52/1.00 % Preprocessing class: FMLMSLSMSSSNFFN.
% 0.52/1.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/1.00 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.52/1.00 % Starting new_bool_3 with 300s (1) cores
% 0.52/1.00 % Starting new_bool_1 with 300s (1) cores
% 0.52/1.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.52/1.00 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.52/1.00 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.52/1.00 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.52/1.00 % Starting SubtermCWHack with 28s (1) cores
% 0.52/1.00 % SubtermCWHack with pid 1451226 completed with status 0
% 0.52/1.00 % Result found by SubtermCWHack
% 0.52/1.00 % Preprocessing class: FMLMSLSMSSSNFFN.
% 0.52/1.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/1.00 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.52/1.00 % Starting new_bool_3 with 300s (1) cores
% 0.52/1.00 % Starting new_bool_1 with 300s (1) cores
% 0.52/1.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.52/1.00 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.52/1.00 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.52/1.00 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.52/1.00 % Starting SubtermCWHack with 28s (1) cores
% 0.52/1.00 % Preprocessing time : 0.014 s
% 0.52/1.00
% 0.52/1.00 % Proof found!
% 0.52/1.00 % SZS status Theorem
% 0.52/1.00 % SZS output start CNFRefutation
% See solution above
% 0.52/1.00 % Parsed axioms : 5228
% 0.52/1.00 % Removed by relevancy pruning/SinE : 4785
% 0.52/1.00 % Initial clauses : 677
% 0.52/1.00 % Removed in clause preprocessing : 29
% 0.52/1.00 % Initial clauses in saturation : 648
% 0.52/1.00 % Processed clauses : 859
% 0.52/1.00 % ...of these trivial : 47
% 0.52/1.00 % ...subsumed : 440
% 0.52/1.00 % ...remaining for further processing : 372
% 0.52/1.00 % Other redundant clauses eliminated : 126
% 0.52/1.00 % Clauses deleted for lack of memory : 0
% 0.52/1.00 % Backward-subsumed : 11
% 0.52/1.00 % Backward-rewritten : 312
% 0.52/1.00 % Generated clauses : 2163
% 0.52/1.00 % ...of the previous two non-redundant : 1671
% 0.52/1.00 % ...aggressively subsumed : 0
% 0.52/1.00 % Contextual simplify-reflections : 1
% 0.52/1.00 % Paramodulations : 2017
% 0.52/1.00 % Factorizations : 4
% 0.52/1.00 % NegExts : 0
% 0.52/1.00 % Equation resolutions : 148
% 0.52/1.00 % Disequality decompositions : 0
% 0.52/1.00 % Total rewrite steps : 926
% 0.52/1.00 % ...of those cached : 355
% 0.52/1.00 % Propositional unsat checks : 0
% 0.52/1.00 % Propositional check models : 0
% 0.52/1.00 % Propositional check unsatisfiable : 0
% 0.52/1.00 % Propositional clauses : 0
% 0.52/1.00 % Propositional clauses after purity: 0
% 0.52/1.00 % Propositional unsat core size : 0
% 0.52/1.00 % Propositional preprocessing time : 0.000
% 0.52/1.00 % Propositional encoding time : 0.000
% 0.52/1.00 % Propositional solver time : 0.000
% 0.52/1.00 % Success case prop preproc time : 0.000
% 0.52/1.00 % Success case prop encoding time : 0.000
% 0.52/1.00 % Success case prop solver time : 0.000
% 0.52/1.00 % Current number of processed clauses : 5
% 0.52/1.00 % Positive orientable unit clauses : 3
% 0.52/1.00 % Positive unorientable unit clauses: 1
% 0.52/1.00 % Negative unit clauses : 0
% 0.52/1.00 % Non-unit-clauses : 1
% 0.52/1.00 % Current number of unprocessed clauses: 1357
% 0.52/1.00 % ...number of literals in the above : 2849
% 0.52/1.00 % Current number of archived formulas : 0
% 0.52/1.00 % Current number of archived clauses : 323
% 0.52/1.00 % Clause-clause subsumption calls (NU) : 5219
% 0.52/1.00 % Rec. Clause-clause subsumption calls : 5138
% 0.52/1.00 % Non-unit clause-clause subsumptions : 123
% 0.52/1.00 % Unit Clause-clause subsumption calls : 613
% 0.52/1.00 % Rewrite failures with RHS unbound : 111
% 0.52/1.00 % BW rewrite match attempts : 1382
% 0.52/1.00 % BW rewrite match successes : 426
% 0.52/1.00 % Condensation attempts : 0
% 0.52/1.00 % Condensation successes : 0
% 0.52/1.00 % Termbank termtop insertions : 221453
% 0.52/1.00 % Search garbage collected termcells : 55310
% 0.52/1.00
% 0.52/1.00 % -------------------------------------------------
% 0.52/1.00 % User time : 0.120 s
% 0.52/1.00 % System time : 0.033 s
% 0.52/1.00 % Total time : 0.154 s
% 0.52/1.00 % Maximum resident set size: 13020 pages
% 0.52/1.00
% 0.52/1.00 % -------------------------------------------------
% 0.52/1.00 % User time : 0.370 s
% 0.52/1.00 % System time : 0.048 s
% 0.52/1.00 % Total time : 0.418 s
% 0.52/1.00 % Maximum resident set size: 12800 pages
% 0.52/1.00 % E exiting
%------------------------------------------------------------------------------