%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW474+2 : 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 : n013.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 0.35s 0.99s
% Output : CNFRefutation 0.35s
% 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 : 23 ( 23 usr; 10 con; 0-2 aty)
% Number of variables : 28 ( 6 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_215_WT__bodiesD,axiom,
! [X29,X30] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X29) = some_com(X30)
=> hBOOL(hAPP_com_bool(wt,X30)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_WT__bodiesD) ).
fof(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(fact_53_MGF,axiom,
! [X15] :
( hBOOL(hoare_298929751gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X15))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X15)),bot_bo1055319631e_bool))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_MGF) ).
fof(conj_5,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
fof(conj_7,conjecture,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
fof(fact_4_cut,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X6),X4))
=> ( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X6))
=> hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
fof(fact_0_empty,axiom,
! [X3] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),bot_bo1055319631e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
fof(conj_0,hypothesis,
hBOOL(hoare_298929751gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_8,plain,
! [X119,X120] :
( hBOOL(hAPP_com_bool(wt,X120))
| hAPP_p799580910on_com(body,X119) != some_com(X120)
| ~ hBOOL(wT_bodies) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_215_WT__bodiesD])])]) ).
cnf(c_0_9,plain,
( hAPP_p799580910on_com(body,X1) != 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,
! [X118] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X118)),bot_bo1055319631e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X118))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_298929751gleton) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_53_MGF])])]) ).
cnf(c_0_12,plain,
( hAPP_p799580910on_com(body,X2) != some_com(X1)
| 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) = some_com(y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
fof(c_0_14,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(assume_negation,[status(cth)],[conj_7]) ).
fof(c_0_15,plain,
! [X592,X593,X594] :
( hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X592),X594))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X592),X593))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X593),X594)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])])]) ).
fof(c_0_16,plain,
! [X583] : hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X583),bot_bo1055319631e_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_298929751gleton)
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,hypothesis,
hBOOL(hoare_298929751gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_19,hypothesis,
( hAPP_p799580910on_com(body,X1) != hAPP_p799580910on_com(body,pn)
| hBOOL(hAPP_com_bool(wt,y)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_20,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X1))
| ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),bot_bo1055319631e_bool)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( ~ hBOOL(hAPP_com_bool(wt,X1))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,X1)),bot_bo1055319631e_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_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(fof_nnf,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( ~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),X2))
| hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(bot_bo1055319631e_bool),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
~ hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(hAPP_f631639356e_bool(image_275883510_state(hAPP_f1758910594_state(cOMBB_422605457_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_bool))),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,hypothesis,
hBOOL(hAPP_f1760790145l_bool(hoare_659004819_state(X1),hAPP_f921536533e_bool(hAPP_H727730819e_bool(insert1835143293_state,hAPP_c1546227244_state(hoare_Mirabelle_MGT,y)),bot_bo1055319631e_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
% 0.00/0.05 % Problem : SWW474+2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n013.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Mon Sep 21 09:58:06 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.54 Running first-order theorem proving
% 0.25/0.54 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
% 0.35/0.99 % Version: 3.5.1
% 0.35/0.99 % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.35/0.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.99 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.35/0.99 % Starting new_bool_3 with 600s (2) cores
% 0.35/0.99 % Starting new_bool_1 with 600s (2) cores
% 0.35/0.99 % Starting sh5l with 300s (1) cores
% 0.35/0.99 % new_bool_3 with pid 494142 completed with status 0
% 0.35/0.99 % Result found by new_bool_3
% 0.35/0.99 % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.35/0.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.99 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.35/0.99 % Starting new_bool_3 with 600s (2) cores
% 0.35/0.99 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.35/0.99 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/0.99 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.35/0.99 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.35/0.99 % Starting SubtermCWHack with 55s (1) cores
% 0.35/0.99 % Starting new_bool_3 with 61s (1) cores
% 0.35/0.99 % new_bool_3 with pid 494146 completed with status 0
% 0.35/0.99 % Result found by new_bool_3
% 0.35/0.99 % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.35/0.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.99 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.35/0.99 % Starting new_bool_3 with 600s (2) cores
% 0.35/0.99 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.35/0.99 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/0.99 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.35/0.99 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 0.35/0.99 % Starting SubtermCWHack with 55s (1) cores
% 0.35/0.99 % Starting new_bool_3 with 61s (1) cores
% 0.35/0.99 % Preprocessing time : 0.022 s
% 0.35/0.99 % Presaturation interreduction done
% 0.35/0.99
% 0.35/0.99 % Proof found!
% 0.35/0.99 % SZS status Theorem
% 0.35/0.99 % SZS output start CNFRefutation
% See solution above
% 0.35/0.99 % Parsed axioms : 868
% 0.35/0.99 % Removed by relevancy pruning/SinE : 385
% 0.35/0.99 % Initial clauses : 753
% 0.35/0.99 % Removed in clause preprocessing : 20
% 0.35/0.99 % Initial clauses in saturation : 733
% 0.35/0.99 % Processed clauses : 1432
% 0.35/0.99 % ...of these trivial : 45
% 0.35/0.99 % ...subsumed : 392
% 0.35/0.99 % ...remaining for further processing : 995
% 0.35/0.99 % Other redundant clauses eliminated : 92
% 0.35/0.99 % Clauses deleted for lack of memory : 0
% 0.35/0.99 % Backward-subsumed : 0
% 0.35/0.99 % Backward-rewritten : 14
% 0.35/0.99 % Generated clauses : 2486
% 0.35/0.99 % ...of the previous two non-redundant : 1810
% 0.35/0.99 % ...aggressively subsumed : 0
% 0.35/0.99 % Contextual simplify-reflections : 0
% 0.35/0.99 % Paramodulations : 2387
% 0.35/0.99 % Factorizations : 1
% 0.35/0.99 % NegExts : 0
% 0.35/0.99 % Equation resolutions : 104
% 0.35/0.99 % Disequality decompositions : 0
% 0.35/0.99 % Total rewrite steps : 1080
% 0.35/0.99 % ...of those cached : 744
% 0.35/0.99 % Propositional unsat checks : 0
% 0.35/0.99 % Propositional check models : 0
% 0.35/0.99 % Propositional check unsatisfiable : 0
% 0.35/0.99 % Propositional clauses : 0
% 0.35/0.99 % Propositional clauses after purity: 0
% 0.35/0.99 % Propositional unsat core size : 0
% 0.35/0.99 % Propositional preprocessing time : 0.000
% 0.35/0.99 % Propositional encoding time : 0.000
% 0.35/0.99 % Propositional solver time : 0.000
% 0.35/0.99 % Success case prop preproc time : 0.000
% 0.35/0.99 % Success case prop encoding time : 0.000
% 0.35/0.99 % Success case prop solver time : 0.000
% 0.35/0.99 % Current number of processed clauses : 419
% 0.35/0.99 % Positive orientable unit clauses : 134
% 0.35/0.99 % Positive unorientable unit clauses: 6
% 0.35/0.99 % Negative unit clauses : 25
% 0.35/0.99 % Non-unit-clauses : 254
% 0.35/0.99 % Current number of unprocessed clauses: 1598
% 0.35/0.99 % ...number of literals in the above : 3104
% 0.35/0.99 % Current number of archived formulas : 0
% 0.35/0.99 % Current number of archived clauses : 503
% 0.35/0.99 % Clause-clause subsumption calls (NU) : 49485
% 0.35/0.99 % Rec. Clause-clause subsumption calls : 32612
% 0.35/0.99 % Non-unit clause-clause subsumptions : 300
% 0.35/0.99 % Unit Clause-clause subsumption calls : 801
% 0.35/0.99 % Rewrite failures with RHS unbound : 0
% 0.35/0.99 % BW rewrite match attempts : 683
% 0.35/0.99 % BW rewrite match successes : 99
% 0.35/0.99 % Condensation attempts : 0
% 0.35/0.99 % Condensation successes : 0
% 0.35/0.99 % Termbank termtop insertions : 129176
% 0.35/0.99 % Search garbage collected termcells : 13785
% 0.35/0.99
% 0.35/0.99 % -------------------------------------------------
% 0.35/0.99 % User time : 0.224 s
% 0.35/0.99 % System time : 0.017 s
% 0.35/0.99 % Total time : 0.241 s
% 0.35/0.99 % Maximum resident set size: 7476 pages
% 0.35/0.99
% 0.35/0.99 % -------------------------------------------------
% 0.35/0.99 % User time : 0.448 s
% 0.35/0.99 % System time : 0.044 s
% 0.35/0.99 % Total time : 0.491 s
% 0.35/0.99 % Maximum resident set size: 6144 pages
% 0.35/0.99 % E exiting
%------------------------------------------------------------------------------