%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW474+3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 03:10:51 PM UTC 2026
% Result : Theorem 0.48s 0.79s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 18 unt; 0 def)
% Number of atoms : 56 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-2 aty)
% Number of variables : 28 ( 6 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_297_WT__bodiesD,axiom,
! [X29,X30] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X29) = hAPP_com_option_com(some_com,X30)
=> hBOOL(hAPP_com_bool(wt,X30)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_WT__bodiesD) ).
fof(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(fact_66_MGF,axiom,
! [X15] :
( hBOOL(hoare_1795711768gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X15))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X15)),bot_bo784226126e_bool))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_MGF) ).
fof(conj_5,hypothesis,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
fof(conj_7,conjecture,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
fof(fact_4_cut,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X6),X4))
=> ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X6))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
fof(fact_0_empty,axiom,
! [X3] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),bot_bo784226126e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
fof(conj_0,hypothesis,
hBOOL(hoare_1795711768gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_8,plain,
! [X139,X140] :
( hBOOL(hAPP_com_bool(wt,X140))
| hAPP_p799580910on_com(body,X139) != hAPP_com_option_com(some_com,X140)
| ~ hBOOL(wT_bodies) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_297_WT__bodiesD])])]) ).
cnf(c_0_9,plain,
( hAPP_p799580910on_com(body,X1) != hAPP_com_option_com(some_com,X2)
| ~ hBOOL(wT_bodies)
| hBOOL(hAPP_com_bool(wt,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_10,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[conj_1]) ).
fof(c_0_11,plain,
! [X138] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X138)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X138))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_66_MGF])])]) ).
cnf(c_0_12,plain,
( hAPP_com_option_com(some_com,X1) != hAPP_p799580910on_com(body,X2)
| hBOOL(hAPP_com_bool(wt,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_13,hypothesis,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
fof(c_0_14,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(assume_negation,[status(cth)],[conj_7]) ).
fof(c_0_15,plain,
! [X624,X625,X626] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X624),X626))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X624),X625))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X625),X626)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])])]) ).
fof(c_0_16,plain,
! [X615] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X615),bot_bo784226126e_bool)),
inference(variable_rename,[status(thm)],[fact_0_empty]) ).
cnf(c_0_17,plain,
( ~ hBOOL(hAPP_com_bool(wt,X1))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1795711768gleton)
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)),bot_bo784226126e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,hypothesis,
hBOOL(hoare_1795711768gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_19,hypothesis,
( hAPP_p799580910on_com(body,pn) != hAPP_p799580910on_com(body,X1)
| hBOOL(hAPP_com_bool(wt,y)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_20,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X1))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),bot_bo784226126e_bool)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( ~ hBOOL(hAPP_com_bool(wt,X1))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)),bot_bo784226126e_bool))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_10]),c_0_18])]) ).
cnf(c_0_24,hypothesis,
hBOOL(hAPP_com_bool(wt,y)),
inference(er,[status(thm)],[c_0_19]) ).
fof(c_0_25,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(fof_nnf,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),X2))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,hypothesis,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,hypothesis,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW474+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 09:59:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.48/0.79 % Version: 3.5.1
% 0.48/0.79 % Preprocessing class: FMLMSMMLSSSNFFN.
% 0.48/0.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.79 % Starting new_bool_3 with 900s (3) cores
% 0.48/0.79 % Starting new_bool_1 with 900s (3) cores
% 0.48/0.79 % Starting sh5l with 300s (1) cores
% 0.48/0.79 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N with 300s (1) cores
% 0.48/0.79 % new_bool_3 with pid 2570874 completed with status 0
% 0.48/0.79 % Result found by new_bool_3
% 0.48/0.79 % Preprocessing class: FMLMSMMLSSSNFFN.
% 0.48/0.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.79 % Starting new_bool_3 with 900s (3) cores
% 0.48/0.79 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.48/0.79 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.48/0.79 % Search class: FGHSM-SSLM32-DFFFFFNN
% 0.48/0.79 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 0.48/0.79 % Starting SubtermCWHack with 82s (1) cores
% 0.48/0.79 % Starting new_bool_3 with 91s (1) cores
% 0.48/0.79 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 0.48/0.79 % new_bool_3 with pid 2570903 completed with status 0
% 0.48/0.79 % Result found by new_bool_3
% 0.48/0.79 % Preprocessing class: FMLMSMMLSSSNFFN.
% 0.48/0.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.79 % Starting new_bool_3 with 900s (3) cores
% 0.48/0.79 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.48/0.79 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.48/0.79 % Search class: FGHSM-SSLM32-DFFFFFNN
% 0.48/0.79 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 0.48/0.79 % Starting SubtermCWHack with 82s (1) cores
% 0.48/0.79 % Starting new_bool_3 with 91s (1) cores
% 0.48/0.79 % Preprocessing time : 0.020 s
% 0.48/0.79 % Presaturation interreduction done
% 0.48/0.79
% 0.48/0.79 % Proof found!
% 0.48/0.79 % SZS status Theorem
% 0.48/0.79 % SZS output start CNFRefutation
% See solution above
% 0.48/0.79 % Parsed axioms : 1441
% 0.48/0.79 % Removed by relevancy pruning/SinE : 788
% 0.48/0.79 % Initial clauses : 1051
% 0.48/0.79 % Removed in clause preprocessing : 24
% 0.48/0.79 % Initial clauses in saturation : 1027
% 0.48/0.79 % Processed clauses : 2026
% 0.48/0.79 % ...of these trivial : 96
% 0.48/0.79 % ...subsumed : 632
% 0.48/0.79 % ...remaining for further processing : 1298
% 0.48/0.79 % Other redundant clauses eliminated : 122
% 0.48/0.79 % Clauses deleted for lack of memory : 0
% 0.48/0.79 % Backward-subsumed : 0
% 0.48/0.79 % Backward-rewritten : 11
% 0.48/0.79 % Generated clauses : 3933
% 0.48/0.79 % ...of the previous two non-redundant : 2854
% 0.48/0.79 % ...aggressively subsumed : 0
% 0.48/0.79 % Contextual simplify-reflections : 1
% 0.48/0.79 % Paramodulations : 3802
% 0.48/0.79 % Factorizations : 1
% 0.48/0.79 % NegExts : 0
% 0.48/0.79 % Equation resolutions : 135
% 0.48/0.79 % Disequality decompositions : 0
% 0.48/0.79 % Total rewrite steps : 1928
% 0.48/0.79 % ...of those cached : 1283
% 0.48/0.79 % Propositional unsat checks : 0
% 0.48/0.79 % Propositional check models : 0
% 0.48/0.79 % Propositional check unsatisfiable : 0
% 0.48/0.79 % Propositional clauses : 0
% 0.48/0.79 % Propositional clauses after purity: 0
% 0.48/0.79 % Propositional unsat core size : 0
% 0.48/0.79 % Propositional preprocessing time : 0.000
% 0.48/0.79 % Propositional encoding time : 0.000
% 0.48/0.79 % Propositional solver time : 0.000
% 0.48/0.79 % Success case prop preproc time : 0.000
% 0.48/0.79 % Success case prop encoding time : 0.000
% 0.48/0.79 % Success case prop solver time : 0.000
% 0.48/0.79 % Current number of processed clauses : 548
% 0.48/0.79 % Positive orientable unit clauses : 203
% 0.48/0.79 % Positive unorientable unit clauses: 9
% 0.48/0.79 % Negative unit clauses : 43
% 0.48/0.79 % Non-unit-clauses : 293
% 0.48/0.79 % Current number of unprocessed clauses: 2505
% 0.48/0.79 % ...number of literals in the above : 4606
% 0.48/0.79 % Current number of archived formulas : 0
% 0.48/0.79 % Current number of archived clauses : 668
% 0.48/0.79 % Clause-clause subsumption calls (NU) : 56761
% 0.48/0.79 % Rec. Clause-clause subsumption calls : 31678
% 0.48/0.79 % Non-unit clause-clause subsumptions : 453
% 0.48/0.79 % Unit Clause-clause subsumption calls : 1177
% 0.48/0.79 % Rewrite failures with RHS unbound : 0
% 0.48/0.79 % BW rewrite match attempts : 1399
% 0.48/0.79 % BW rewrite match successes : 183
% 0.48/0.79 % Condensation attempts : 0
% 0.48/0.79 % Condensation successes : 0
% 0.48/0.79 % Termbank termtop insertions : 194072
% 0.48/0.79 % Search garbage collected termcells : 20592
% 0.48/0.79
% 0.48/0.79 % -------------------------------------------------
% 0.48/0.79 % User time : 0.267 s
% 0.48/0.79 % System time : 0.024 s
% 0.48/0.79 % Total time : 0.290 s
% 0.48/0.79 % Maximum resident set size: 9012 pages
% 0.48/0.79
% 0.48/0.79 % -------------------------------------------------
% 0.48/0.79 % User time : 0.743 s
% 0.48/0.79 % System time : 0.074 s
% 0.48/0.79 % Total time : 0.817 s
% 0.48/0.79 % Maximum resident set size: 6912 pages
% 0.48/0.79 % E exiting
%------------------------------------------------------------------------------