%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW318+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 03:10:17 PM UTC 2026
% Result : Theorem 2.87s 1.29s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 9 con; 0-2 aty)
% Number of variables : 37 ( 3 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(fact_asm,axiom,
! [X4,X13,X5] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)),X13),X4))
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_asm) ).
fof(fact_subset__insertI,axiom,
! [X6,X113,X5] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X113),hAPP(hAPP(c_Set_Oinsert(X5),X6),X113))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_subset__insertI) ).
fof(fact_cut,axiom,
! [X4,X13,X14,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X14,X13)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X14)
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cut) ).
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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_5,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_6,plain,
! [X375,X376,X377] :
( c_Hoare__Mirabelle_Ohoare__derivs(X377,X375,X376)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X377),tc_HOL_Obool)),X376),X375)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])])]) ).
fof(c_0_7,plain,
! [X520,X521,X522] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X522,tc_HOL_Obool)),X521),hAPP(hAPP(c_Set_Oinsert(X522),X520),X521))),
inference(variable_rename,[status(thm)],[fact_subset__insertI]) ).
fof(c_0_8,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_9,plain,
! [X319,X320,X321,X322] :
( c_Hoare__Mirabelle_Ohoare__derivs(X322,X319,X320)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X322,X319,X321)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X322,X321,X320) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])])]) ).
cnf(c_0_10,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_6]) ).
cnf(c_0_11,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
cnf(c_0_13,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_9]) ).
cnf(c_0_14,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X2),X3),X3),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X2),X3),X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),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_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW318+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 09:46:51 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 2.87/1.29 % Version: 3.5.1
% 2.87/1.29 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.87/1.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/1.29 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.87/1.29 % Starting new_bool_3 with 300s (1) cores
% 2.87/1.29 % Starting new_bool_1 with 300s (1) cores
% 2.87/1.29 % Starting sh5l with 300s (1) cores
% 2.87/1.29 % new_bool_1 with pid 2103772 completed with status 0
% 2.87/1.29 % Result found by new_bool_1
% 2.87/1.29 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.87/1.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/1.29 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.87/1.29 % Starting new_bool_3 with 300s (1) cores
% 2.87/1.29 % Starting new_bool_1 with 300s (1) cores
% 2.87/1.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.87/1.29 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.87/1.29 % Search class: FGHSM-SSLM32-DFFFFFNN
% 2.87/1.29 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 2.87/1.29 % Starting SubtermCWHack with 28s (1) cores
% 2.87/1.29 % SubtermCWHack with pid 2103775 completed with status 0
% 2.87/1.29 % Result found by SubtermCWHack
% 2.87/1.29 % Preprocessing class: FMLMSMSMSSSNFFN.
% 2.87/1.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/1.29 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.87/1.29 % Starting new_bool_3 with 300s (1) cores
% 2.87/1.29 % Starting new_bool_1 with 300s (1) cores
% 2.87/1.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.87/1.29 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.87/1.29 % Search class: FGHSM-SSLM32-DFFFFFNN
% 2.87/1.29 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 2.87/1.29 % Starting SubtermCWHack with 28s (1) cores
% 2.87/1.29 % Preprocessing time : 0.014 s
% 2.87/1.29
% 2.87/1.29 % Proof found!
% 2.87/1.29 % SZS status Theorem
% 2.87/1.29 % SZS output start CNFRefutation
% See solution above
% 2.87/1.29 % Parsed axioms : 5226
% 2.87/1.29 % Removed by relevancy pruning/SinE : 4486
% 2.87/1.29 % Initial clauses : 1109
% 2.87/1.29 % Removed in clause preprocessing : 54
% 2.87/1.29 % Initial clauses in saturation : 1055
% 2.87/1.29 % Processed clauses : 7601
% 2.87/1.29 % ...of these trivial : 278
% 2.87/1.29 % ...subsumed : 5413
% 2.87/1.29 % ...remaining for further processing : 1910
% 2.87/1.29 % Other redundant clauses eliminated : 1296
% 2.87/1.29 % Clauses deleted for lack of memory : 0
% 2.87/1.29 % Backward-subsumed : 45
% 2.87/1.29 % Backward-rewritten : 79
% 2.87/1.29 % Generated clauses : 62599
% 2.87/1.29 % ...of the previous two non-redundant : 54064
% 2.87/1.29 % ...aggressively subsumed : 0
% 2.87/1.29 % Contextual simplify-reflections : 3
% 2.87/1.29 % Paramodulations : 61252
% 2.87/1.29 % Factorizations : 20
% 2.87/1.29 % NegExts : 0
% 2.87/1.29 % Equation resolutions : 1339
% 2.87/1.29 % Disequality decompositions : 0
% 2.87/1.29 % Total rewrite steps : 16757
% 2.87/1.29 % ...of those cached : 13788
% 2.87/1.29 % Propositional unsat checks : 0
% 2.87/1.29 % Propositional check models : 0
% 2.87/1.29 % Propositional check unsatisfiable : 0
% 2.87/1.29 % Propositional clauses : 0
% 2.87/1.29 % Propositional clauses after purity: 0
% 2.87/1.29 % Propositional unsat core size : 0
% 2.87/1.29 % Propositional preprocessing time : 0.000
% 2.87/1.29 % Propositional encoding time : 0.000
% 2.87/1.29 % Propositional solver time : 0.000
% 2.87/1.29 % Success case prop preproc time : 0.000
% 2.87/1.29 % Success case prop encoding time : 0.000
% 2.87/1.29 % Success case prop solver time : 0.000
% 2.87/1.29 % Current number of processed clauses : 1705
% 2.87/1.29 % Positive orientable unit clauses : 362
% 2.87/1.29 % Positive unorientable unit clauses: 23
% 2.87/1.29 % Negative unit clauses : 209
% 2.87/1.29 % Non-unit-clauses : 1111
% 2.87/1.29 % Current number of unprocessed clauses: 46831
% 2.87/1.29 % ...number of literals in the above : 135055
% 2.87/1.29 % Current number of archived formulas : 0
% 2.87/1.29 % Current number of archived clauses : 124
% 2.87/1.29 % Clause-clause subsumption calls (NU) : 160393
% 2.87/1.29 % Rec. Clause-clause subsumption calls : 109531
% 2.87/1.29 % Non-unit clause-clause subsumptions : 2756
% 2.87/1.29 % Unit Clause-clause subsumption calls : 9496
% 2.87/1.29 % Rewrite failures with RHS unbound : 402
% 2.87/1.29 % BW rewrite match attempts : 12653
% 2.87/1.29 % BW rewrite match successes : 187
% 2.87/1.29 % Condensation attempts : 0
% 2.87/1.29 % Condensation successes : 0
% 2.87/1.29 % Termbank termtop insertions : 1455775
% 2.87/1.29 % Search garbage collected termcells : 56783
% 2.87/1.29
% 2.87/1.29 % -------------------------------------------------
% 2.87/1.29 % User time : 0.768 s
% 2.87/1.29 % System time : 0.041 s
% 2.87/1.29 % Total time : 0.809 s
% 2.87/1.29 % Maximum resident set size: 13672 pages
% 2.87/1.29
% 2.87/1.29 % -------------------------------------------------
% 2.87/1.29 % User time : 0.897 s
% 2.87/1.29 % System time : 0.051 s
% 2.87/1.29 % Total time : 0.948 s
% 2.87/1.29 % Maximum resident set size: 12288 pages
% 2.87/1.29 % E exiting
%------------------------------------------------------------------------------