%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW391+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 : n011.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 03:10:26 PM UTC 2026
% Result : Theorem 2.51s 1.42s
% Output : CNFRefutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 45 ( 18 ~; 16 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 11 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_2,conjecture,
! [X28,X29] :
( ( hBOOL(hAPP(hAPP(v_P_H,X28),X29))
| hBOOL(hAPP(hAPP(v_P,X28),X29)) )
=> ? [X308,X309] :
( ! [X39] :
( ! [X40] :
( hBOOL(hAPP(hAPP(X308,X40),X29))
=> hBOOL(hAPP(hAPP(X309,X40),X39)) )
=> ( hBOOL(hAPP(hAPP(v_Q_H,X28),X39))
| hBOOL(hAPP(hAPP(v_Q,X28),X39)) ) )
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X308),v_c),X309)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(conj_0,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(conj_1,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X28,X29] :
( ( hBOOL(hAPP(hAPP(v_P_H,X28),X29))
| hBOOL(hAPP(hAPP(v_P,X28),X29)) )
=> ? [X308,X309] :
( ! [X39] :
( ! [X40] :
( hBOOL(hAPP(hAPP(X308,X40),X29))
=> hBOOL(hAPP(hAPP(X309,X40),X39)) )
=> ( hBOOL(hAPP(hAPP(v_Q_H,X28),X39))
| hBOOL(hAPP(hAPP(v_Q,X28),X39)) ) )
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X308),v_c),X309)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ) ),
inference(assume_negation,[status(cth)],[conj_2]) ).
fof(c_0_4,negated_conjecture,
! [X312,X313,X315] :
( ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X312),v_c),X313)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(v_Q_H,esk1_0),esk3_2(X312,X313))) )
& ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X312),v_c),X313)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(v_Q,esk1_0),esk3_2(X312,X313))) )
& ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X312),v_c),X313)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(X313,X315),esk3_2(X312,X313)))
| ~ hBOOL(hAPP(hAPP(X312,X315),esk2_0)) )
& ( hBOOL(hAPP(hAPP(v_P_H,esk1_0),esk2_0))
| hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0)) ) ),
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)],[c_0_3])])])])])]) ).
cnf(c_0_5,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),v_c),X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(v_Q,esk1_0),esk3_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_7,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(X1,X2),esk2_0))
| hBOOL(hAPP(hAPP(X3,X2),esk3_2(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
~ hBOOL(hAPP(hAPP(v_Q,esk1_0),esk3_2(v_P,v_Q))),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,hypothesis,
( ~ hBOOL(hAPP(hAPP(v_P,X1),esk2_0))
| hBOOL(hAPP(hAPP(v_Q,X1),esk3_2(v_P,v_Q))) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),v_c),X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(v_Q_H,esk1_0),esk3_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_12,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P_H,esk1_0),esk2_0))
| hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,hypothesis,
~ hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,hypothesis,
~ hBOOL(hAPP(hAPP(v_Q_H,esk1_0),esk3_2(v_P_H,v_Q_H))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,hypothesis,
( ~ hBOOL(hAPP(hAPP(v_P_H,X1),esk2_0))
| hBOOL(hAPP(hAPP(v_Q_H,X1),esk3_2(v_P_H,v_Q_H))) ),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
hBOOL(hAPP(hAPP(v_P_H,esk1_0),esk2_0)),
inference(sr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW391+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 : n011.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 09:50:41 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 2.51/1.42 % Version: 3.5.1
% 2.51/1.42 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.51/1.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.51/1.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.51/1.42 % Starting new_bool_3 with 300s (1) cores
% 2.51/1.42 % Starting new_bool_1 with 300s (1) cores
% 2.51/1.42 % Starting sh5l with 300s (1) cores
% 2.51/1.42 % new_bool_3 with pid 1602420 completed with status 0
% 2.51/1.42 % Result found by new_bool_3
% 2.51/1.42 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.51/1.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.51/1.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.51/1.42 % Starting new_bool_3 with 300s (1) cores
% 2.51/1.42 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.51/1.42 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.51/1.42 % Search class: FGHSM-FSLM32-DFFFFFNN
% 2.51/1.42 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 2.51/1.42 % Starting SubtermCWHack with 28s (1) cores
% 2.51/1.42 % SubtermCWHack with pid 1602423 completed with status 0
% 2.51/1.42 % Result found by SubtermCWHack
% 2.51/1.42 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.51/1.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.51/1.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.51/1.42 % Starting new_bool_3 with 300s (1) cores
% 2.51/1.42 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.51/1.42 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.51/1.42 % Search class: FGHSM-FSLM32-DFFFFFNN
% 2.51/1.42 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 2.51/1.42 % Starting SubtermCWHack with 28s (1) cores
% 2.51/1.42 % Preprocessing time : 0.013 s
% 2.51/1.42
% 2.51/1.42 % Proof found!
% 2.51/1.42 % SZS status Theorem
% 2.51/1.42 % SZS output start CNFRefutation
% See solution above
% 2.51/1.42 % Parsed axioms : 5230
% 2.51/1.42 % Removed by relevancy pruning/SinE : 4650
% 2.51/1.42 % Initial clauses : 865
% 2.51/1.42 % Removed in clause preprocessing : 38
% 2.51/1.42 % Initial clauses in saturation : 827
% 2.51/1.42 % Processed clauses : 5602
% 2.51/1.42 % ...of these trivial : 214
% 2.51/1.42 % ...subsumed : 4041
% 2.51/1.42 % ...remaining for further processing : 1347
% 2.51/1.42 % Other redundant clauses eliminated : 1422
% 2.51/1.42 % Clauses deleted for lack of memory : 0
% 2.51/1.42 % Backward-subsumed : 40
% 2.51/1.42 % Backward-rewritten : 77
% 2.51/1.42 % Generated clauses : 55471
% 2.51/1.42 % ...of the previous two non-redundant : 46919
% 2.51/1.42 % ...aggressively subsumed : 0
% 2.51/1.42 % Contextual simplify-reflections : 6
% 2.51/1.42 % Paramodulations : 54022
% 2.51/1.42 % Factorizations : 10
% 2.51/1.42 % NegExts : 0
% 2.51/1.42 % Equation resolutions : 1449
% 2.51/1.42 % Disequality decompositions : 0
% 2.51/1.42 % Total rewrite steps : 14123
% 2.51/1.42 % ...of those cached : 10977
% 2.51/1.42 % Propositional unsat checks : 0
% 2.51/1.42 % Propositional check models : 0
% 2.51/1.42 % Propositional check unsatisfiable : 0
% 2.51/1.42 % Propositional clauses : 0
% 2.51/1.42 % Propositional clauses after purity: 0
% 2.51/1.42 % Propositional unsat core size : 0
% 2.51/1.42 % Propositional preprocessing time : 0.000
% 2.51/1.42 % Propositional encoding time : 0.000
% 2.51/1.42 % Propositional solver time : 0.000
% 2.51/1.42 % Success case prop preproc time : 0.000
% 2.51/1.42 % Success case prop encoding time : 0.000
% 2.51/1.42 % Success case prop solver time : 0.000
% 2.51/1.42 % Current number of processed clauses : 1152
% 2.51/1.42 % Positive orientable unit clauses : 324
% 2.51/1.42 % Positive unorientable unit clauses: 21
% 2.51/1.42 % Negative unit clauses : 123
% 2.51/1.42 % Non-unit-clauses : 684
% 2.51/1.42 % Current number of unprocessed clauses: 40000
% 2.51/1.42 % ...number of literals in the above : 114522
% 2.51/1.42 % Current number of archived formulas : 0
% 2.51/1.42 % Current number of archived clauses : 118
% 2.51/1.42 % Clause-clause subsumption calls (NU) : 69554
% 2.51/1.42 % Rec. Clause-clause subsumption calls : 52647
% 2.51/1.42 % Non-unit clause-clause subsumptions : 2605
% 2.51/1.42 % Unit Clause-clause subsumption calls : 4815
% 2.51/1.42 % Rewrite failures with RHS unbound : 257
% 2.51/1.42 % BW rewrite match attempts : 8286
% 2.51/1.42 % BW rewrite match successes : 186
% 2.51/1.42 % Condensation attempts : 0
% 2.51/1.42 % Condensation successes : 0
% 2.51/1.42 % Termbank termtop insertions : 1306182
% 2.51/1.42 % Search garbage collected termcells : 55303
% 2.51/1.42
% 2.51/1.42 % -------------------------------------------------
% 2.51/1.42 % User time : 0.660 s
% 2.51/1.42 % System time : 0.044 s
% 2.51/1.42 % Total time : 0.705 s
% 2.51/1.42 % Maximum resident set size: 13132 pages
% 2.51/1.42
% 2.51/1.42 % -------------------------------------------------
% 2.51/1.42 % User time : 0.919 s
% 2.51/1.42 % System time : 0.064 s
% 2.51/1.42 % Total time : 0.983 s
% 2.51/1.42 % Maximum resident set size: 12544 pages
% 2.51/1.42 % E exiting
%------------------------------------------------------------------------------