%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM213_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 0.15s 5.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 19 ~; 4 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 19 :)
% 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_25,type,
vPred: vTerm > vTerm ).
tff(decl_27,type,
vZero: vTerm ).
tff(decl_35,type,
vt1: vTerm ).
tff(decl_37,type,
visNV: vTerm > $o ).
tff(decl_41,type,
vptchecksimple: ( vTy * vTerm ) > $o ).
tff(decl_66,type,
esk24_1: vTerm > vTerm ).
tff('DIFF-Succ-Pred',axiom,
! [X2: vTerm,X3: vTerm] : ( vSucc(X2) != vPred(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-Succ-Pred') ).
tff('isNV-2',axiom,
! [X12: vTerm] :
( ( ! [X13: vTerm] : ( X12 != vSucc(X13) )
& ( X12 != vZero ) )
=> ~ visNV(X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','isNV-2') ).
tff('DIFF-Zero-Pred',axiom,
! [X2: vTerm] : ( vZero != vPred(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-Zero-Pred') ).
tff('isNVisNat-Pred',conjecture,
( visNV(vPred(vt1))
=> vptchecksimple(vPred(vt1),vNat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','isNVisNat-Pred') ).
tff(c_0_4,plain,
! [X2: vTerm,X3: vTerm] : ( vSucc(X2) != vPred(X3) ),
inference(fof_simplification,[status(thm)],['DIFF-Succ-Pred']) ).
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,plain,
! [X2: vTerm] : ( vZero != vPred(X2) ),
inference(fof_simplification,[status(thm)],['DIFF-Zero-Pred']) ).
tff(c_0_7,negated_conjecture,
~ ( visNV(vPred(vt1))
=> vptchecksimple(vPred(vt1),vNat) ),
inference(assume_negation,[status(cth)],['isNVisNat-Pred']) ).
tff(c_0_8,plain,
! [X143: vTerm,X144: vTerm] : ( vSucc(X143) != vPred(X144) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_4])]) ).
tff(c_0_9,plain,
! [X170: vTerm] :
( ~ visNV(X170)
| ( X170 = vSucc(esk24_1(X170)) )
| ( X170 = 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,plain,
! [X142: vTerm] : ( vZero != vPred(X142) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_6])]) ).
tff(c_0_11,negated_conjecture,
( ~ vptchecksimple(vPred(vt1),vNat)
& visNV(vPred(vt1)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
tcf(c_0_12,plain,
! [X1: vTerm,X2: vTerm] : vSucc(X1) != vPred(X2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_13,plain,
! [X1: vTerm] :
( ~ visNV(X1)
| ( X1 = vSucc(esk24_1(X1)) )
| ( X1 = vZero ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_14,plain,
! [X1: vTerm] : vZero != vPred(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
tcf(c_0_15,negated_conjecture,
visNV(vPred(vt1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
tcf(c_0_16,plain,
! [X1: vTerm] : ~ visNV(vPred(X1)),
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13])]),c_0_14]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_15,c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM213_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/5.37 % Computer : n008.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 14:21:00 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.44 % Version: 3.5.1
% 0.15/5.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.44 % Starting sh5l with 300s (1) cores
% 0.15/5.44 % new_bool_3 with pid 1206076 completed with status 0
% 0.15/5.44 % Result found by new_bool_3
% 0.15/5.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.44 % Search class: FGUSS-FFMS31-MFFFFFNN
% 0.15/5.44 % partial match(1): FGUSS-FFMS31-DFFFFFNN
% 0.15/5.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.44 % Starting SubtermCWHack with 28s (1) cores
% 0.15/5.44 % SubtermCWHack with pid 1206079 completed with status 0
% 0.15/5.44 % Result found by SubtermCWHack
% 0.15/5.44 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.44 % Search class: FGUSS-FFMS31-MFFFFFNN
% 0.15/5.44 % partial match(1): FGUSS-FFMS31-DFFFFFNN
% 0.15/5.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.44 % Starting SubtermCWHack with 28s (1) cores
% 0.15/5.44 % Preprocessing time : 0.002 s
% 0.15/5.44
% 0.15/5.44 % Proof found!
% 0.15/5.44 % SZS status Theorem
% 0.15/5.44 % SZS output start CNFRefutation
% See solution above
% 0.15/5.44 % Parsed axioms : 129
% 0.15/5.44 % Removed by relevancy pruning/SinE : 52
% 0.15/5.44 % Initial clauses : 96
% 0.15/5.44 % Removed in clause preprocessing : 0
% 0.15/5.44 % Initial clauses in saturation : 96
% 0.15/5.44 % Processed clauses : 80
% 0.15/5.44 % ...of these trivial : 2
% 0.15/5.44 % ...subsumed : 4
% 0.15/5.44 % ...remaining for further processing : 74
% 0.15/5.44 % Other redundant clauses eliminated : 16
% 0.15/5.44 % Clauses deleted for lack of memory : 0
% 0.15/5.44 % Backward-subsumed : 1
% 0.15/5.44 % Backward-rewritten : 0
% 0.15/5.44 % Generated clauses : 77
% 0.15/5.44 % ...of the previous two non-redundant : 37
% 0.15/5.44 % ...aggressively subsumed : 0
% 0.15/5.44 % Contextual simplify-reflections : 0
% 0.15/5.44 % Paramodulations : 56
% 0.15/5.44 % Factorizations : 0
% 0.15/5.44 % NegExts : 0
% 0.15/5.44 % Equation resolutions : 20
% 0.15/5.44 % Disequality decompositions : 0
% 0.15/5.44 % Total rewrite steps : 24
% 0.15/5.44 % ...of those cached : 15
% 0.15/5.44 % Propositional unsat checks : 0
% 0.15/5.44 % Propositional check models : 0
% 0.15/5.44 % Propositional check unsatisfiable : 0
% 0.15/5.44 % Propositional clauses : 0
% 0.15/5.44 % Propositional clauses after purity: 0
% 0.15/5.44 % Propositional unsat core size : 0
% 0.15/5.44 % Propositional preprocessing time : 0.000
% 0.15/5.44 % Propositional encoding time : 0.000
% 0.15/5.44 % Propositional solver time : 0.000
% 0.15/5.44 % Success case prop preproc time : 0.000
% 0.15/5.44 % Success case prop encoding time : 0.000
% 0.15/5.44 % Success case prop solver time : 0.000
% 0.15/5.44 % Current number of processed clauses : 72
% 0.15/5.44 % Positive orientable unit clauses : 13
% 0.15/5.44 % Positive unorientable unit clauses: 0
% 0.15/5.44 % Negative unit clauses : 37
% 0.15/5.44 % Non-unit-clauses : 22
% 0.15/5.44 % Current number of unprocessed clauses: 53
% 0.15/5.44 % ...number of literals in the above : 158
% 0.15/5.44 % Current number of archived formulas : 0
% 0.15/5.44 % Current number of archived clauses : 2
% 0.15/5.44 % Clause-clause subsumption calls (NU) : 84
% 0.15/5.44 % Rec. Clause-clause subsumption calls : 84
% 0.15/5.44 % Non-unit clause-clause subsumptions : 2
% 0.15/5.44 % Unit Clause-clause subsumption calls : 164
% 0.15/5.44 % Rewrite failures with RHS unbound : 0
% 0.15/5.44 % BW rewrite match attempts : 0
% 0.15/5.44 % BW rewrite match successes : 0
% 0.15/5.44 % Condensation attempts : 0
% 0.15/5.44 % Condensation successes : 0
% 0.15/5.44 % Termbank termtop insertions : 6953
% 0.15/5.44 % Search garbage collected termcells : 1780
% 0.15/5.44
% 0.15/5.44 % -------------------------------------------------
% 0.15/5.44 % User time : 0.008 s
% 0.15/5.44 % System time : 0.005 s
% 0.15/5.44 % Total time : 0.013 s
% 0.15/5.44 % Maximum resident set size: 4352 pages
% 0.15/5.44
% 0.15/5.44 % -------------------------------------------------
% 0.15/5.44 % User time : 0.010 s
% 0.15/5.44 % System time : 0.008 s
% 0.15/5.44 % Total time : 0.019 s
% 0.15/5.44 % Maximum resident set size: 5120 pages
% 0.15/5.44 % E exiting
%------------------------------------------------------------------------------