%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM240_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 : n007.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 12:11:47 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 0 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
vOptTerm: $tType ).
tff(decl_sort2,type,
vTy: $tType ).
tff(decl_sort3,type,
vTerm: $tType ).
tff(decl_25,type,
vPred: vTerm > vTerm ).
tff(decl_26,type,
vsomeTerm: vTerm > vOptTerm ).
tff(decl_27,type,
vZero: vTerm ).
tff(decl_31,type,
vnoTerm: vOptTerm ).
tff(decl_35,type,
vt1: vTerm ).
tff(decl_36,type,
visValue: vTerm > $o ).
tff(decl_38,type,
vreduce: vTerm > vOptTerm ).
tff(decl_41,type,
vptchecksimple: ( vTy * vTerm ) > $o ).
tff(decl_43,type,
esk1_0: vTy ).
tff('Progress-Pred-Zero',conjecture,
! [X98: vTy] :
( ( ~ visValue(vPred(vt1))
& vptchecksimple(vPred(vt1),X98)
& ( vt1 = vZero ) )
=> ( vreduce(vPred(vt1)) != vnoTerm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Progress-Pred-Zero') ).
tff('DIFF-noTerm-someTerm',axiom,
! [X2: vTerm] : ( vnoTerm != vsomeTerm(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noTerm-someTerm') ).
tff('reduce-6',axiom,
vreduce(vPred(vZero)) = vsomeTerm(vZero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-6') ).
tff(c_0_3,negated_conjecture,
~ ! [X98: vTy] :
( ( ~ visValue(vPred(vt1))
& vptchecksimple(vPred(vt1),X98)
& ( vt1 = vZero ) )
=> ( vreduce(vPred(vt1)) != vnoTerm ) ),
inference(assume_negation,[status(cth)],['Progress-Pred-Zero']) ).
tff(c_0_4,negated_conjecture,
~ ! [X98: vTy] :
( ( ~ visValue(vPred(vt1))
& vptchecksimple(vPred(vt1),X98)
& ( vt1 = vZero ) )
=> ( vreduce(vPred(vt1)) != vnoTerm ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
tff(c_0_5,negated_conjecture,
( ( vreduce(vPred(vt1)) = vnoTerm )
& ~ visValue(vPred(vt1))
& vptchecksimple(vPred(vt1),esk1_0)
& ( vt1 = vZero ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
tff(c_0_6,plain,
! [X2: vTerm] : ( vnoTerm != vsomeTerm(X2) ),
inference(fof_simplification,[status(thm)],['DIFF-noTerm-someTerm']) ).
tcf(c_0_7,negated_conjecture,
vreduce(vPred(vt1)) = vnoTerm,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,negated_conjecture,
vt1 = vZero,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tff(c_0_9,plain,
! [X102: vTerm] : ( vnoTerm != vsomeTerm(X102) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_6])]) ).
tcf(c_0_10,plain,
vreduce(vPred(vZero)) = vsomeTerm(vZero),
inference(split_conjunct,[status(thm)],['reduce-6']) ).
tcf(c_0_11,negated_conjecture,
vreduce(vPred(vZero)) = vnoTerm,
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
tcf(c_0_12,plain,
! [X1: vTerm] : vnoTerm != vsomeTerm(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM240_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.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 14:18:35 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.45 % Version: 3.5.1
% 0.12/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % Starting sh5l with 300s (1) cores
% 0.12/0.45 % new_bool_1 with pid 1317441 completed with status 0
% 0.12/0.45 % Result found by new_bool_1
% 0.12/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.45 % Search class: FGUSS-FFMM31-MFFFFFNN
% 0.12/0.45 % partial match(2): FGHSM-FFMM31-MFFFFFNN
% 0.12/0.45 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.45 % Starting SubtermCWHack with 28s (1) cores
% 0.12/0.45 % SubtermCWHack with pid 1317449 completed with status 0
% 0.12/0.45 % Result found by SubtermCWHack
% 0.12/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.45 % Search class: FGUSS-FFMM31-MFFFFFNN
% 0.12/0.45 % partial match(2): FGHSM-FFMM31-MFFFFFNN
% 0.12/0.45 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.45 % Starting SubtermCWHack with 28s (1) cores
% 0.12/0.45 % Preprocessing time : 0.002 s
% 0.12/0.45
% 0.12/0.45 % Proof found!
% 0.12/0.45 % SZS status Theorem
% 0.12/0.45 % SZS output start CNFRefutation
% See solution above
% 0.12/0.45 % Parsed axioms : 129
% 0.12/0.45 % Removed by relevancy pruning/SinE : 47
% 0.12/0.45 % Initial clauses : 110
% 0.12/0.45 % Removed in clause preprocessing : 0
% 0.12/0.45 % Initial clauses in saturation : 110
% 0.12/0.45 % Processed clauses : 33
% 0.12/0.45 % ...of these trivial : 0
% 0.12/0.45 % ...subsumed : 0
% 0.12/0.45 % ...remaining for further processing : 32
% 0.12/0.45 % Other redundant clauses eliminated : 0
% 0.12/0.45 % Clauses deleted for lack of memory : 0
% 0.12/0.45 % Backward-subsumed : 0
% 0.12/0.45 % Backward-rewritten : 0
% 0.12/0.45 % Generated clauses : 1
% 0.12/0.45 % ...of the previous two non-redundant : 0
% 0.12/0.45 % ...aggressively subsumed : 0
% 0.12/0.45 % Contextual simplify-reflections : 0
% 0.12/0.45 % Paramodulations : 1
% 0.12/0.45 % Factorizations : 0
% 0.12/0.45 % NegExts : 0
% 0.12/0.45 % Equation resolutions : 0
% 0.12/0.45 % Disequality decompositions : 0
% 0.12/0.45 % Total rewrite steps : 4
% 0.12/0.45 % ...of those cached : 2
% 0.12/0.45 % Propositional unsat checks : 0
% 0.12/0.45 % Propositional check models : 0
% 0.12/0.45 % Propositional check unsatisfiable : 0
% 0.12/0.45 % Propositional clauses : 0
% 0.12/0.45 % Propositional clauses after purity: 0
% 0.12/0.45 % Propositional unsat core size : 0
% 0.12/0.45 % Propositional preprocessing time : 0.000
% 0.12/0.45 % Propositional encoding time : 0.000
% 0.12/0.45 % Propositional solver time : 0.000
% 0.12/0.45 % Success case prop preproc time : 0.000
% 0.12/0.45 % Success case prop encoding time : 0.000
% 0.12/0.45 % Success case prop solver time : 0.000
% 0.12/0.45 % Current number of processed clauses : 32
% 0.12/0.45 % Positive orientable unit clauses : 8
% 0.12/0.45 % Positive unorientable unit clauses: 0
% 0.12/0.45 % Negative unit clauses : 20
% 0.12/0.45 % Non-unit-clauses : 4
% 0.12/0.45 % Current number of unprocessed clauses: 77
% 0.12/0.45 % ...number of literals in the above : 206
% 0.12/0.45 % Current number of archived formulas : 0
% 0.12/0.45 % Current number of archived clauses : 0
% 0.12/0.45 % Clause-clause subsumption calls (NU) : 2
% 0.12/0.45 % Rec. Clause-clause subsumption calls : 2
% 0.12/0.45 % Non-unit clause-clause subsumptions : 0
% 0.12/0.45 % Unit Clause-clause subsumption calls : 99
% 0.12/0.45 % Rewrite failures with RHS unbound : 0
% 0.12/0.45 % BW rewrite match attempts : 0
% 0.12/0.45 % BW rewrite match successes : 0
% 0.12/0.45 % Condensation attempts : 0
% 0.12/0.45 % Condensation successes : 0
% 0.12/0.45 % Termbank termtop insertions : 7052
% 0.12/0.45 % Search garbage collected termcells : 1903
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.008 s
% 0.12/0.45 % System time : 0.002 s
% 0.12/0.45 % Total time : 0.010 s
% 0.12/0.45 % Maximum resident set size: 4096 pages
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.013 s
% 0.12/0.45 % System time : 0.007 s
% 0.12/0.45 % Total time : 0.020 s
% 0.12/0.45 % Maximum resident set size: 5120 pages
% 0.12/0.45 % E exiting
%------------------------------------------------------------------------------