%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW337+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 : n001.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 03:10:20 PM UTC 2026
% Result : Theorem 1.49s 1.09s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 16 ~; 12 |; 3 &)
% ( 1 <=>; 8 =>; 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 3 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
! [X11] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X11,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X11,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(fact_mem__def,axiom,
! [X5,X13,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X13),X5))
<=> hBOOL(hAPP(X5,X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def) ).
fof(fact_rev__predicate1D,axiom,
! [X14,X6,X13,X15] :
( hBOOL(hAPP(X15,X13))
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool)),X15),X14))
=> hBOOL(hAPP(X14,X13)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rev__predicate1D) ).
fof(conj_0,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_4,negated_conjecture,
~ ! [X11] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X11,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X11,X3) ) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_5,negated_conjecture,
! [X285] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk1_0,esk2_0)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_0),v_ts))
& ( c_Hoare__Mirabelle_Otriple__valid(t_a,esk1_0,X285)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X285),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_4])])])])]) ).
fof(c_0_6,plain,
! [X439,X440,X441] :
( ( hBOOL(hAPP(hAPP(c_member(X441),X440),X439))
| ~ hBOOL(hAPP(X439,X440)) )
& ( hBOOL(hAPP(X439,X440))
| ~ hBOOL(hAPP(hAPP(c_member(X441),X440),X439)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])]) ).
cnf(c_0_7,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X298,X299,X300,X301] :
( hBOOL(hAPP(X298,X300))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X299,tc_HOL_Obool)),X301),X298))
| ~ hBOOL(hAPP(X301,X300)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rev__predicate1D])])]) ).
cnf(c_0_10,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( ~ hBOOL(hAPP(v_G,X1))
| c_Hoare__Mirabelle_Otriple__valid(t_a,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X4))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_14,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| hBOOL(hAPP(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_0),v_ts)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
~ hBOOL(hAPP(v_G,esk2_0)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,hypothesis,
( ~ hBOOL(hAPP(v_ts,X1))
| hBOOL(hAPP(v_G,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
hBOOL(hAPP(v_ts,esk2_0)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW337+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 % Computer : n001.cluster.edu
% 0.11/0.43 % Model : x86_64 x86_64
% 0.11/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.43 % Memory : 8046.5625MB
% 0.11/0.43 % OS : Linux 6.8.0-71-generic
% 0.11/0.43 % CPULimit : 300
% 0.11/0.43 % WCLimit : 300
% 0.11/0.43 % DateTime : Mon Sep 21 09:53:45 UTC 2026
% 0.11/0.43 % CPUTime :
% 0.11/0.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 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
% 1.49/1.09 % Version: 3.5.1
% 1.49/1.09 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.49/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/1.09 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.49/1.09 % Starting new_bool_3 with 300s (1) cores
% 1.49/1.09 % Starting new_bool_1 with 300s (1) cores
% 1.49/1.09 % Starting sh5l with 300s (1) cores
% 1.49/1.09 % new_bool_3 with pid 2827299 completed with status 0
% 1.49/1.09 % Result found by new_bool_3
% 1.49/1.09 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.49/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/1.09 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.49/1.09 % Starting new_bool_3 with 300s (1) cores
% 1.49/1.09 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.49/1.09 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.49/1.09 % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.49/1.09 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.49/1.09 % Starting SubtermCWHack with 28s (1) cores
% 1.49/1.09 % SubtermCWHack with pid 2827303 completed with status 0
% 1.49/1.09 % Result found by SubtermCWHack
% 1.49/1.09 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.49/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/1.09 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.49/1.09 % Starting new_bool_3 with 300s (1) cores
% 1.49/1.09 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.49/1.09 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.49/1.09 % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.49/1.09 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.49/1.09 % Starting SubtermCWHack with 28s (1) cores
% 1.49/1.09 % Preprocessing time : 0.013 s
% 1.49/1.09
% 1.49/1.09 % Proof found!
% 1.49/1.09 % SZS status Theorem
% 1.49/1.09 % SZS output start CNFRefutation
% See solution above
% 1.49/1.09 % Parsed axioms : 5226
% 1.49/1.09 % Removed by relevancy pruning/SinE : 4661
% 1.49/1.09 % Initial clauses : 838
% 1.49/1.09 % Removed in clause preprocessing : 34
% 1.49/1.09 % Initial clauses in saturation : 804
% 1.49/1.09 % Processed clauses : 2465
% 1.49/1.09 % ...of these trivial : 66
% 1.49/1.09 % ...subsumed : 1492
% 1.49/1.09 % ...remaining for further processing : 907
% 1.49/1.09 % Other redundant clauses eliminated : 1562
% 1.49/1.09 % Clauses deleted for lack of memory : 0
% 1.49/1.09 % Backward-subsumed : 17
% 1.49/1.09 % Backward-rewritten : 41
% 1.49/1.09 % Generated clauses : 29594
% 1.49/1.09 % ...of the previous two non-redundant : 23898
% 1.49/1.09 % ...aggressively subsumed : 0
% 1.49/1.09 % Contextual simplify-reflections : 0
% 1.49/1.09 % Paramodulations : 28010
% 1.49/1.09 % Factorizations : 19
% 1.49/1.09 % NegExts : 0
% 1.49/1.09 % Equation resolutions : 1577
% 1.49/1.09 % Disequality decompositions : 0
% 1.49/1.09 % Total rewrite steps : 8624
% 1.49/1.09 % ...of those cached : 7719
% 1.49/1.09 % Propositional unsat checks : 0
% 1.49/1.09 % Propositional check models : 0
% 1.49/1.09 % Propositional check unsatisfiable : 0
% 1.49/1.09 % Propositional clauses : 0
% 1.49/1.09 % Propositional clauses after purity: 0
% 1.49/1.09 % Propositional unsat core size : 0
% 1.49/1.09 % Propositional preprocessing time : 0.000
% 1.49/1.09 % Propositional encoding time : 0.000
% 1.49/1.09 % Propositional solver time : 0.000
% 1.49/1.09 % Success case prop preproc time : 0.000
% 1.49/1.09 % Success case prop encoding time : 0.000
% 1.49/1.09 % Success case prop solver time : 0.000
% 1.49/1.09 % Current number of processed clauses : 783
% 1.49/1.09 % Positive orientable unit clauses : 160
% 1.49/1.09 % Positive unorientable unit clauses: 12
% 1.49/1.09 % Negative unit clauses : 65
% 1.49/1.09 % Non-unit-clauses : 546
% 1.49/1.09 % Current number of unprocessed clauses: 22151
% 1.49/1.09 % ...number of literals in the above : 76608
% 1.49/1.09 % Current number of archived formulas : 0
% 1.49/1.09 % Current number of archived clauses : 58
% 1.49/1.09 % Clause-clause subsumption calls (NU) : 57937
% 1.49/1.09 % Rec. Clause-clause subsumption calls : 30900
% 1.49/1.09 % Non-unit clause-clause subsumptions : 986
% 1.49/1.09 % Unit Clause-clause subsumption calls : 886
% 1.49/1.09 % Rewrite failures with RHS unbound : 132
% 1.49/1.09 % BW rewrite match attempts : 2490
% 1.49/1.09 % BW rewrite match successes : 97
% 1.49/1.09 % Condensation attempts : 0
% 1.49/1.09 % Condensation successes : 0
% 1.49/1.09 % Termbank termtop insertions : 684041
% 1.49/1.09 % Search garbage collected termcells : 55016
% 1.49/1.09
% 1.49/1.09 % -------------------------------------------------
% 1.49/1.09 % User time : 0.293 s
% 1.49/1.09 % System time : 0.033 s
% 1.49/1.09 % Total time : 0.326 s
% 1.49/1.09 % Maximum resident set size: 13432 pages
% 1.49/1.09
% 1.49/1.09 % -------------------------------------------------
% 1.49/1.09 % User time : 0.555 s
% 1.49/1.09 % System time : 0.048 s
% 1.49/1.09 % Total time : 0.603 s
% 1.49/1.09 % Maximum resident set size: 12544 pages
% 1.49/1.09 % E exiting
%------------------------------------------------------------------------------