%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM212_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 12:11:44 PM UTC 2026
% Result : Theorem 0.21s 0.47s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 18 ~; 4 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
vTy: $tType ).
tff(decl_sort2,type,
vTerm: $tType ).
tff(decl_23,type,
vNat: vTy ).
tff(decl_24,type,
vSucc: vTerm > vTerm ).
tff(decl_27,type,
vZero: vTerm ).
tff(decl_30,type,
vFalse: vTerm ).
tff(decl_36,type,
visNV: vTerm > $o ).
tff(decl_40,type,
vptchecksimple: ( vTy * vTerm ) > $o ).
tff(decl_68,type,
esk27_1: vTerm > vTerm ).
tff('DIFF-False-Succ',axiom,
! [X2: vTerm] : ( vFalse != vSucc(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-False-Succ') ).
tff('isNV-2',axiom,
! [X12: vTerm] :
( ( ! [X13: vTerm] : ( X12 != vSucc(X13) )
& ( X12 != vZero ) )
=> ~ visNV(X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isNV-2') ).
tff('isNVisNat-False',conjecture,
( visNV(vFalse)
=> vptchecksimple(vFalse,vNat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isNVisNat-False') ).
tff('DIFF-False-Zero',axiom,
vFalse != vZero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-False-Zero') ).
tff(c_0_4,plain,
! [X2: vTerm] : ( vFalse != vSucc(X2) ),
inference(fof_simplification,[status(thm)],['DIFF-False-Succ']) ).
tff(c_0_5,plain,
! [X12: vTerm] :
( ( ! [X13: vTerm] : ( X12 != vSucc(X13) )
& ( X12 != vZero ) )
=> ~ visNV(X12) ),
inference(fof_simplification,[status(thm)],['isNV-2']) ).
tff(c_0_6,negated_conjecture,
~ ( visNV(vFalse)
=> vptchecksimple(vFalse,vNat) ),
inference(assume_negation,[status(cth)],['isNVisNat-False']) ).
tff(c_0_7,plain,
vFalse != vZero,
inference(fof_simplification,[status(thm)],['DIFF-False-Zero']) ).
tff(c_0_8,plain,
! [X137: vTerm] : ( vFalse != vSucc(X137) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_4])]) ).
tff(c_0_9,plain,
! [X168: vTerm] :
( ~ visNV(X168)
| ( X168 = vSucc(esk27_1(X168)) )
| ( X168 = vZero ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
tff(c_0_10,negated_conjecture,
( ~ vptchecksimple(vFalse,vNat)
& visNV(vFalse) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).
tff(c_0_11,plain,
vFalse != vZero,
inference(fof_nnf,[status(thm)],[c_0_7]) ).
tcf(c_0_12,plain,
! [X1: vTerm] : vFalse != vSucc(X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_13,plain,
! [X1: vTerm] :
( ~ visNV(X1)
| ( X1 = vSucc(esk27_1(X1)) )
| ( X1 = vZero ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_14,negated_conjecture,
visNV(vFalse),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
tcf(c_0_15,plain,
vFalse != vZero,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13])]),c_0_14])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM212_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n009.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 14:20:13 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.21/0.47 % Version: 3.5.1
% 0.21/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.21/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.47 % Starting sh5l with 300s (1) cores
% 0.21/0.47 % new_bool_3 with pid 1990568 completed with status 0
% 0.21/0.47 % Result found by new_bool_3
% 0.21/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.21/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.47 % Search class: FGUSS-FFMS31-MFFFFFNN
% 0.21/0.47 % partial match(1): FGUSS-FFMS31-DFFFFFNN
% 0.21/0.47 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.47 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.47 % SubtermCWHack with pid 1990571 completed with status 0
% 0.21/0.47 % Result found by SubtermCWHack
% 0.21/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.21/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.47 % Search class: FGUSS-FFMS31-MFFFFFNN
% 0.21/0.47 % partial match(1): FGUSS-FFMS31-DFFFFFNN
% 0.21/0.47 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.47 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.47 % Preprocessing time : 0.002 s
% 0.21/0.47
% 0.21/0.47 % Proof found!
% 0.21/0.47 % SZS status Theorem
% 0.21/0.47 % SZS output start CNFRefutation
% See solution above
% 0.21/0.47 % Parsed axioms : 127
% 0.21/0.47 % Removed by relevancy pruning/SinE : 51
% 0.21/0.47 % Initial clauses : 95
% 0.21/0.47 % Removed in clause preprocessing : 0
% 0.21/0.47 % Initial clauses in saturation : 95
% 0.21/0.47 % Processed clauses : 77
% 0.21/0.47 % ...of these trivial : 2
% 0.21/0.47 % ...subsumed : 4
% 0.21/0.47 % ...remaining for further processing : 71
% 0.21/0.47 % Other redundant clauses eliminated : 16
% 0.21/0.47 % Clauses deleted for lack of memory : 0
% 0.21/0.47 % Backward-subsumed : 0
% 0.21/0.47 % Backward-rewritten : 0
% 0.21/0.47 % Generated clauses : 74
% 0.21/0.47 % ...of the previous two non-redundant : 32
% 0.21/0.47 % ...aggressively subsumed : 0
% 0.21/0.47 % Contextual simplify-reflections : 0
% 0.21/0.47 % Paramodulations : 54
% 0.21/0.47 % Factorizations : 0
% 0.21/0.47 % NegExts : 0
% 0.21/0.47 % Equation resolutions : 20
% 0.21/0.47 % Disequality decompositions : 0
% 0.21/0.47 % Total rewrite steps : 25
% 0.21/0.47 % ...of those cached : 15
% 0.21/0.47 % Propositional unsat checks : 0
% 0.21/0.47 % Propositional check models : 0
% 0.21/0.47 % Propositional check unsatisfiable : 0
% 0.21/0.47 % Propositional clauses : 0
% 0.21/0.47 % Propositional clauses after purity: 0
% 0.21/0.47 % Propositional unsat core size : 0
% 0.21/0.47 % Propositional preprocessing time : 0.000
% 0.21/0.47 % Propositional encoding time : 0.000
% 0.21/0.47 % Propositional solver time : 0.000
% 0.21/0.47 % Success case prop preproc time : 0.000
% 0.21/0.47 % Success case prop encoding time : 0.000
% 0.21/0.47 % Success case prop solver time : 0.000
% 0.21/0.47 % Current number of processed clauses : 71
% 0.21/0.47 % Positive orientable unit clauses : 14
% 0.21/0.47 % Positive unorientable unit clauses: 0
% 0.21/0.47 % Negative unit clauses : 33
% 0.21/0.47 % Non-unit-clauses : 24
% 0.21/0.47 % Current number of unprocessed clauses: 41
% 0.21/0.47 % ...number of literals in the above : 131
% 0.21/0.47 % Current number of archived formulas : 0
% 0.21/0.47 % Current number of archived clauses : 0
% 0.21/0.47 % Clause-clause subsumption calls (NU) : 191
% 0.21/0.47 % Rec. Clause-clause subsumption calls : 177
% 0.21/0.47 % Non-unit clause-clause subsumptions : 2
% 0.21/0.47 % Unit Clause-clause subsumption calls : 372
% 0.21/0.47 % Rewrite failures with RHS unbound : 0
% 0.21/0.47 % BW rewrite match attempts : 0
% 0.21/0.47 % BW rewrite match successes : 0
% 0.21/0.47 % Condensation attempts : 0
% 0.21/0.47 % Condensation successes : 0
% 0.21/0.47 % Termbank termtop insertions : 6909
% 0.21/0.47 % Search garbage collected termcells : 1761
% 0.21/0.47
% 0.21/0.47 % -------------------------------------------------
% 0.21/0.47 % User time : 0.007 s
% 0.21/0.47 % System time : 0.006 s
% 0.21/0.47 % Total time : 0.013 s
% 0.21/0.47 % Maximum resident set size: 4040 pages
% 0.21/0.47
% 0.21/0.47 % -------------------------------------------------
% 0.21/0.47 % User time : 0.013 s
% 0.21/0.47 % System time : 0.010 s
% 0.21/0.47 % Total time : 0.023 s
% 0.21/0.47 % Maximum resident set size: 5120 pages
% 0.21/0.47 % E exiting
%------------------------------------------------------------------------------