%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWW339+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 03:11:59 PM UTC 2026
% Result : Theorem 19.23s 5.58s
% Output : CNFRefutation 19.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 23 ~; 23 |; 4 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 46 ( 2 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_subsetD,axiom,
! [X49,X9,X10,X6] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool)),X10),X9))
=> ( hBOOL(hAPP(hAPP(c_member(X6),X49),X10))
=> hBOOL(hAPP(hAPP(c_member(X6),X49),X9)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_subsetD) ).
fof(conj_3,conjecture,
! [X13] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
fof(conj_2,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(conj_1,hypothesis,
! [X13] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts_H))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(fact_mem__def,axiom,
! [X10,X15,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X15),X10))
<=> hBOOL(hAPP(X10,X15)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def) ).
fof(c_0_5,plain,
! [X332,X333,X334,X335] :
( hBOOL(hAPP(hAPP(c_member(X335),X332),X333))
| ~ hBOOL(hAPP(hAPP(c_member(X335),X332),X334))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X335,tc_HOL_Obool)),X334),X333)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_subsetD])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X13] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) ) ),
inference(assume_negation,[status(cth)],[conj_3]) ).
cnf(c_0_7,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X4),X2))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))
| hBOOL(hAPP(hAPP(c_member(X1),X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
inference(split_conjunct,[status(thm)],[conj_2]) ).
fof(c_0_9,negated_conjecture,
! [X288] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,esk3_0)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_ts))
& ( c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,X288)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X288),v_G)) ) ),
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_6])])])])]) ).
fof(c_0_10,hypothesis,
! [X284,X286] :
( ( c_Hoare__Mirabelle_Otriple__valid(t_a,X284,X286)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X286),v_ts_H))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X284,esk1_1(X284)) )
& ( c_Hoare__Mirabelle_Otriple__valid(t_a,X284,X286)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X286),v_ts_H))
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X284)),v_G)) ) ),
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)],[conj_1])])])])])]) ).
cnf(c_0_11,hypothesis,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_ts)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X348,X349,X350] :
( ( hBOOL(hAPP(hAPP(c_member(X350),X349),X348))
| ~ hBOOL(hAPP(X348,X349)) )
& ( hBOOL(hAPP(X348,X349))
| ~ hBOOL(hAPP(hAPP(c_member(X350),X349),X348)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])]) ).
cnf(c_0_14,hypothesis,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_ts_H)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,hypothesis,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,hypothesis,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( ~ hBOOL(hAPP(v_G,X1))
| c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| hBOOL(hAPP(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
~ hBOOL(hAPP(v_G,esk1_1(esk2_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_25,hypothesis,
( hBOOL(hAPP(v_G,esk1_1(X1)))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW339+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.47 % Computer : n015.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Mon Sep 21 09:51:07 UTC 2026
% 0.20/0.48 % CPUTime :
% 0.20/0.48 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.56 Running first-order theorem proving
% 0.24/0.57 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
% 19.23/5.58 % Version: 3.5.1
% 19.23/5.58 % Preprocessing class: FMLMSMSMSSSNFFN.
% 19.23/5.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.23/5.58 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.23/5.58 % Starting new_bool_3 with 300s (1) cores
% 19.23/5.58 % Starting new_bool_1 with 300s (1) cores
% 19.23/5.58 % Starting sh5l with 300s (1) cores
% 19.23/5.58 % new_bool_3 with pid 1173225 completed with status 0
% 19.23/5.58 % Result found by new_bool_3
% 19.23/5.58 % Preprocessing class: FMLMSMSMSSSNFFN.
% 19.23/5.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.23/5.58 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.23/5.58 % Starting new_bool_3 with 300s (1) cores
% 19.23/5.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 19.23/5.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 19.23/5.58 % Search class: FGHSM-FSLM32-DFFFFFNN
% 19.23/5.58 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 19.23/5.58 % Starting SubtermCWHack with 28s (1) cores
% 19.23/5.58 % SubtermCWHack with pid 1173229 completed with status 0
% 19.23/5.58 % Result found by SubtermCWHack
% 19.23/5.58 % Preprocessing class: FMLMSMSMSSSNFFN.
% 19.23/5.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.23/5.58 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 19.23/5.58 % Starting new_bool_3 with 300s (1) cores
% 19.23/5.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 19.23/5.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 19.23/5.58 % Search class: FGHSM-FSLM32-DFFFFFNN
% 19.23/5.58 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 19.23/5.58 % Starting SubtermCWHack with 28s (1) cores
% 19.23/5.58 % Preprocessing time : 0.034 s
% 19.23/5.58
% 19.23/5.58 % Proof found!
% 19.23/5.58 % SZS status Theorem
% 19.23/5.58 % SZS output start CNFRefutation
% See solution above
% 19.23/5.58 % Parsed axioms : 5229
% 19.23/5.58 % Removed by relevancy pruning/SinE : 4660
% 19.23/5.58 % Initial clauses : 845
% 19.23/5.58 % Removed in clause preprocessing : 34
% 19.23/5.58 % Initial clauses in saturation : 811
% 19.23/5.58 % Processed clauses : 7702
% 19.23/5.58 % ...of these trivial : 161
% 19.23/5.58 % ...subsumed : 5293
% 19.23/5.58 % ...remaining for further processing : 2248
% 19.23/5.58 % Other redundant clauses eliminated : 7422
% 19.23/5.58 % Clauses deleted for lack of memory : 0
% 19.23/5.58 % Backward-subsumed : 57
% 19.23/5.58 % Backward-rewritten : 84
% 19.23/5.58 % Generated clauses : 180075
% 19.23/5.58 % ...of the previous two non-redundant : 154135
% 19.23/5.58 % ...aggressively subsumed : 0
% 19.23/5.58 % Contextual simplify-reflections : 5
% 19.23/5.58 % Paramodulations : 172597
% 19.23/5.58 % Factorizations : 38
% 19.23/5.58 % NegExts : 0
% 19.23/5.58 % Equation resolutions : 7452
% 19.23/5.58 % Disequality decompositions : 0
% 19.23/5.58 % Total rewrite steps : 35164
% 19.23/5.58 % ...of those cached : 32127
% 19.23/5.58 % Propositional unsat checks : 0
% 19.23/5.58 % Propositional check models : 0
% 19.23/5.58 % Propositional check unsatisfiable : 0
% 19.23/5.58 % Propositional clauses : 0
% 19.23/5.58 % Propositional clauses after purity: 0
% 19.23/5.58 % Propositional unsat core size : 0
% 19.23/5.58 % Propositional preprocessing time : 0.000
% 19.23/5.58 % Propositional encoding time : 0.000
% 19.23/5.58 % Propositional solver time : 0.000
% 19.23/5.58 % Success case prop preproc time : 0.000
% 19.23/5.58 % Success case prop encoding time : 0.000
% 19.23/5.58 % Success case prop solver time : 0.000
% 19.23/5.58 % Current number of processed clauses : 2031
% 19.23/5.58 % Positive orientable unit clauses : 239
% 19.23/5.58 % Positive unorientable unit clauses: 21
% 19.23/5.58 % Negative unit clauses : 90
% 19.23/5.58 % Non-unit-clauses : 1681
% 19.23/5.58 % Current number of unprocessed clauses: 147040
% 19.23/5.58 % ...number of literals in the above : 546901
% 19.23/5.58 % Current number of archived formulas : 0
% 19.23/5.58 % Current number of archived clauses : 141
% 19.23/5.58 % Clause-clause subsumption calls (NU) : 177454
% 19.23/5.58 % Rec. Clause-clause subsumption calls : 124079
% 19.23/5.58 % Non-unit clause-clause subsumptions : 3870
% 19.23/5.58 % Unit Clause-clause subsumption calls : 2992
% 19.23/5.58 % Rewrite failures with RHS unbound : 354
% 19.23/5.58 % BW rewrite match attempts : 7116
% 19.23/5.58 % BW rewrite match successes : 152
% 19.23/5.58 % Condensation attempts : 0
% 19.23/5.58 % Condensation successes : 0
% 19.23/5.58 % Termbank termtop insertions : 4458501
% 19.23/5.58 % Search garbage collected termcells : 55122
% 19.23/5.58
% 19.23/5.58 % -------------------------------------------------
% 19.23/5.58 % User time : 3.699 s
% 19.23/5.58 % System time : 0.173 s
% 19.23/5.58 % Total time : 3.872 s
% 19.23/5.58 % Maximum resident set size: 13176 pages
% 19.23/5.58
% 19.23/5.58 % -------------------------------------------------
% 19.23/5.58 % User time : 4.173 s
% 19.23/5.58 % System time : 0.198 s
% 19.23/5.58 % Total time : 4.371 s
% 19.23/5.58 % Maximum resident set size: 12544 pages
% 19.23/5.58 % E exiting
%------------------------------------------------------------------------------