%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW311+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 : n026.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 03:10:16 PM UTC 2026
% Result : Theorem 0.86s 0.80s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 10 ~; 7 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
! [X282] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X282))
=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,X282,v_ts) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(fact_asm,axiom,
! [X4,X5,X6] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)),X5),X4))
=> c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_asm) ).
fof(fact_cut,axiom,
! [X4,X5,X8,X6] :
( c_Hoare__Mirabelle_Ohoare__derivs(X6,X8,X5)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X8)
=> c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cut) ).
fof(conj_0,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_4,negated_conjecture,
~ ! [X282] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X282))
=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,X282,v_ts) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_5,plain,
! [X284,X285,X286] :
( c_Hoare__Mirabelle_Ohoare__derivs(X286,X284,X285)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X286),tc_HOL_Obool)),X285),X284)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])])]) ).
fof(c_0_6,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,esk1_0,v_ts)
& hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),esk1_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,plain,
! [X291,X292,X293,X294] :
( c_Hoare__Mirabelle_Ohoare__derivs(X294,X291,X292)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X294,X291,X293)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X294,X293,X292) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])])]) ).
cnf(c_0_8,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X2),X3))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,esk1_0,v_G_H),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,esk1_0,v_ts),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,X1)
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW311+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 09:49:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.86/0.80 % Version: 3.5.1
% 0.86/0.80 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.86/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.86/0.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.86/0.80 % Starting new_bool_3 with 300s (1) cores
% 0.86/0.80 % Starting new_bool_1 with 300s (1) cores
% 0.86/0.80 % Starting sh5l with 300s (1) cores
% 0.86/0.80 % new_bool_3 with pid 1968779 completed with status 0
% 0.86/0.80 % Result found by new_bool_3
% 0.86/0.80 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.86/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.86/0.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.86/0.80 % Starting new_bool_3 with 300s (1) cores
% 0.86/0.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.86/0.80 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.86/0.80 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.86/0.80 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.86/0.80 % Starting SubtermCWHack with 28s (1) cores
% 0.86/0.80 % SubtermCWHack with pid 1968783 completed with status 0
% 0.86/0.80 % Result found by SubtermCWHack
% 0.86/0.80 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.86/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.86/0.80 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.86/0.80 % Starting new_bool_3 with 300s (1) cores
% 0.86/0.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.86/0.80 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.86/0.80 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.86/0.80 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.86/0.80 % Starting SubtermCWHack with 28s (1) cores
% 0.86/0.80 % Preprocessing time : 0.011 s
% 0.86/0.80
% 0.86/0.80 % Proof found!
% 0.86/0.80 % SZS status Theorem
% 0.86/0.80 % SZS output start CNFRefutation
% See solution above
% 0.86/0.80 % Parsed axioms : 5223
% 0.86/0.80 % Removed by relevancy pruning/SinE : 4809
% 0.86/0.80 % Initial clauses : 607
% 0.86/0.80 % Removed in clause preprocessing : 27
% 0.86/0.80 % Initial clauses in saturation : 580
% 0.86/0.80 % Processed clauses : 241
% 0.86/0.80 % ...of these trivial : 11
% 0.86/0.80 % ...subsumed : 88
% 0.86/0.80 % ...remaining for further processing : 142
% 0.86/0.80 % Other redundant clauses eliminated : 40
% 0.86/0.80 % Clauses deleted for lack of memory : 0
% 0.86/0.80 % Backward-subsumed : 0
% 0.86/0.80 % Backward-rewritten : 0
% 0.86/0.80 % Generated clauses : 344
% 0.86/0.80 % ...of the previous two non-redundant : 189
% 0.86/0.80 % ...aggressively subsumed : 0
% 0.86/0.80 % Contextual simplify-reflections : 0
% 0.86/0.80 % Paramodulations : 294
% 0.86/0.80 % Factorizations : 8
% 0.86/0.80 % NegExts : 0
% 0.86/0.80 % Equation resolutions : 43
% 0.86/0.80 % Disequality decompositions : 0
% 0.86/0.80 % Total rewrite steps : 181
% 0.86/0.80 % ...of those cached : 127
% 0.86/0.80 % Propositional unsat checks : 0
% 0.86/0.80 % Propositional check models : 0
% 0.86/0.80 % Propositional check unsatisfiable : 0
% 0.86/0.80 % Propositional clauses : 0
% 0.86/0.80 % Propositional clauses after purity: 0
% 0.86/0.80 % Propositional unsat core size : 0
% 0.86/0.80 % Propositional preprocessing time : 0.000
% 0.86/0.80 % Propositional encoding time : 0.000
% 0.86/0.80 % Propositional solver time : 0.000
% 0.86/0.80 % Success case prop preproc time : 0.000
% 0.86/0.80 % Success case prop encoding time : 0.000
% 0.86/0.80 % Success case prop solver time : 0.000
% 0.86/0.80 % Current number of processed clauses : 115
% 0.86/0.80 % Positive orientable unit clauses : 59
% 0.86/0.80 % Positive unorientable unit clauses: 5
% 0.86/0.80 % Negative unit clauses : 14
% 0.86/0.80 % Non-unit-clauses : 37
% 0.86/0.80 % Current number of unprocessed clauses: 527
% 0.86/0.80 % ...number of literals in the above : 1212
% 0.86/0.80 % Current number of archived formulas : 0
% 0.86/0.80 % Current number of archived clauses : 0
% 0.86/0.80 % Clause-clause subsumption calls (NU) : 361
% 0.86/0.80 % Rec. Clause-clause subsumption calls : 357
% 0.86/0.80 % Non-unit clause-clause subsumptions : 21
% 0.86/0.80 % Unit Clause-clause subsumption calls : 48
% 0.86/0.80 % Rewrite failures with RHS unbound : 23
% 0.86/0.80 % BW rewrite match attempts : 172
% 0.86/0.80 % BW rewrite match successes : 17
% 0.86/0.80 % Condensation attempts : 0
% 0.86/0.80 % Condensation successes : 0
% 0.86/0.80 % Termbank termtop insertions : 196898
% 0.86/0.80 % Search garbage collected termcells : 53786
% 0.86/0.80
% 0.86/0.80 % -------------------------------------------------
% 0.86/0.80 % User time : 0.074 s
% 0.86/0.80 % System time : 0.024 s
% 0.86/0.80 % Total time : 0.098 s
% 0.86/0.80 % Maximum resident set size: 12648 pages
% 0.86/0.80
% 0.86/0.80 % -------------------------------------------------
% 0.86/0.80 % User time : 0.327 s
% 0.86/0.80 % System time : 0.043 s
% 0.86/0.80 % Total time : 0.370 s
% 0.86/0.80 % Maximum resident set size: 12288 pages
% 0.86/0.80 % E exiting
%------------------------------------------------------------------------------