%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWW474+1 : 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 : n001.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 03:12:29 PM UTC 2026
% Result : Theorem 0.28s 0.55s
% Output : CNFRefutation 0.28s
% 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 : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 28 ( 6 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_288_WT__bodiesD,axiom,
! [X29,X30] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X29) = some_com(X30)
=> hBOOL(wt(X30)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).
fof(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(fact_103_MGF,axiom,
! [X15] :
( hBOOL(hoare_165779456gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(wt(X15))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X15),bot_bo620288102e_bool))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_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_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
fof(fact_4_cut,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X6),X4))
=> ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X6))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
fof(fact_0_empty,axiom,
! [X3] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
fof(conj_0,hypothesis,
hBOOL(hoare_165779456gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_8,plain,
! [X54,X55] :
( hBOOL(wt(X55))
| hAPP_p799580910on_com(body,X54) != some_com(X55)
| ~ hBOOL(wT_bodies) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_288_WT__bodiesD])])]) ).
cnf(c_0_9,plain,
( hAPP_p799580910on_com(body,X1) != some_com(X2)
| ~ hBOOL(wT_bodies)
| hBOOL(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,
! [X53] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X53),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X53))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_103_MGF])])]) ).
cnf(c_0_12,plain,
( hAPP_p799580910on_com(body,X2) != some_com(X1)
| hBOOL(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_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(assume_negation,[status(cth)],[conj_7]) ).
fof(c_0_15,plain,
! [X243,X244,X245] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X243),X245))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X243),X244))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X244),X245)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])])]) ).
fof(c_0_16,plain,
! [X234] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X234),bot_bo620288102e_bool)),
inference(variable_rename,[status(thm)],[fact_0_empty]) ).
cnf(c_0_17,plain,
( ~ hBOOL(wt(X1))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton)
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,hypothesis,
hBOOL(hoare_165779456gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_19,hypothesis,
( hAPP_p799580910on_com(body,X1) != hAPP_p799580910on_com(body,pn)
| hBOOL(wt(y)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_20,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X1))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),bot_bo620288102e_bool)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( ~ hBOOL(wt(X1))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_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(wt(y)),
inference(er,[status(thm)],[c_0_19]) ).
fof(c_0_25,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(fof_nnf,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),X2))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,hypothesis,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,hypothesis,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_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
% 0.00/0.03 % Problem : SWW474+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 10:04:14 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 0.28/0.55 % Version: 3.5.1
% 0.28/0.55 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.28/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.55 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.28/0.55 % Starting new_bool_3 with 600s (2) cores
% 0.28/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.28/0.55 % Starting sh5l with 300s (1) cores
% 0.28/0.55 % new_bool_3 with pid 2842548 completed with status 0
% 0.28/0.55 % Result found by new_bool_3
% 0.28/0.55 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.28/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.55 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.28/0.55 % Starting new_bool_3 with 600s (2) cores
% 0.28/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.28/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.28/0.55 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.28/0.55 % Scheduled 8 strats onto 2 cores with 600 seconds (600 total)
% 0.28/0.55 % Starting SubtermCWHack with 55s (1) cores
% 0.28/0.55 % Starting new_bool_3 with 61s (1) cores
% 0.28/0.55 % new_bool_3 with pid 2842553 completed with status 0
% 0.28/0.55 % Result found by new_bool_3
% 0.28/0.55 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.28/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.55 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.28/0.55 % Starting new_bool_3 with 600s (2) cores
% 0.28/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.28/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.28/0.55 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.28/0.55 % Scheduled 8 strats onto 2 cores with 600 seconds (600 total)
% 0.28/0.55 % Starting SubtermCWHack with 55s (1) cores
% 0.28/0.55 % Starting new_bool_3 with 61s (1) cores
% 0.28/0.55 % Preprocessing time : 0.008 s
% 0.28/0.55 % Presaturation interreduction done
% 0.28/0.55
% 0.28/0.55 % Proof found!
% 0.28/0.55 % SZS status Theorem
% 0.28/0.55 % SZS output start CNFRefutation
% See solution above
% 0.28/0.55 % Parsed axioms : 428
% 0.28/0.55 % Removed by relevancy pruning/SinE : 262
% 0.28/0.55 % Initial clauses : 244
% 0.28/0.55 % Removed in clause preprocessing : 5
% 0.28/0.55 % Initial clauses in saturation : 239
% 0.28/0.55 % Processed clauses : 431
% 0.28/0.55 % ...of these trivial : 0
% 0.28/0.55 % ...subsumed : 82
% 0.28/0.55 % ...remaining for further processing : 349
% 0.28/0.55 % Other redundant clauses eliminated : 40
% 0.28/0.55 % Clauses deleted for lack of memory : 0
% 0.28/0.55 % Backward-subsumed : 0
% 0.28/0.55 % Backward-rewritten : 4
% 0.28/0.55 % Generated clauses : 379
% 0.28/0.55 % ...of the previous two non-redundant : 226
% 0.28/0.55 % ...aggressively subsumed : 0
% 0.28/0.55 % Contextual simplify-reflections : 0
% 0.28/0.55 % Paramodulations : 335
% 0.28/0.55 % Factorizations : 0
% 0.28/0.55 % NegExts : 0
% 0.28/0.55 % Equation resolutions : 46
% 0.28/0.55 % Disequality decompositions : 0
% 0.28/0.55 % Total rewrite steps : 161
% 0.28/0.55 % ...of those cached : 98
% 0.28/0.55 % Propositional unsat checks : 0
% 0.28/0.55 % Propositional check models : 0
% 0.28/0.55 % Propositional check unsatisfiable : 0
% 0.28/0.55 % Propositional clauses : 0
% 0.28/0.55 % Propositional clauses after purity: 0
% 0.28/0.55 % Propositional unsat core size : 0
% 0.28/0.55 % Propositional preprocessing time : 0.000
% 0.28/0.55 % Propositional encoding time : 0.000
% 0.28/0.55 % Propositional solver time : 0.000
% 0.28/0.55 % Success case prop preproc time : 0.000
% 0.28/0.55 % Success case prop encoding time : 0.000
% 0.28/0.55 % Success case prop solver time : 0.000
% 0.28/0.55 % Current number of processed clauses : 138
% 0.28/0.55 % Positive orientable unit clauses : 60
% 0.28/0.55 % Positive unorientable unit clauses: 2
% 0.28/0.55 % Negative unit clauses : 7
% 0.28/0.55 % Non-unit-clauses : 69
% 0.28/0.55 % Current number of unprocessed clauses: 203
% 0.28/0.55 % ...number of literals in the above : 453
% 0.28/0.55 % Current number of archived formulas : 0
% 0.28/0.55 % Current number of archived clauses : 173
% 0.28/0.55 % Clause-clause subsumption calls (NU) : 4476
% 0.28/0.55 % Rec. Clause-clause subsumption calls : 2737
% 0.28/0.55 % Non-unit clause-clause subsumptions : 57
% 0.28/0.55 % Unit Clause-clause subsumption calls : 203
% 0.28/0.55 % Rewrite failures with RHS unbound : 0
% 0.28/0.55 % BW rewrite match attempts : 130
% 0.28/0.55 % BW rewrite match successes : 26
% 0.28/0.55 % Condensation attempts : 0
% 0.28/0.55 % Condensation successes : 0
% 0.28/0.55 % Termbank termtop insertions : 29727
% 0.28/0.55 % Search garbage collected termcells : 5228
% 0.28/0.55
% 0.28/0.55 % -------------------------------------------------
% 0.28/0.55 % User time : 0.068 s
% 0.28/0.55 % System time : 0.010 s
% 0.28/0.55 % Total time : 0.078 s
% 0.28/0.55 % Maximum resident set size: 4972 pages
% 0.28/0.55
% 0.28/0.55 % -------------------------------------------------
% 0.28/0.55 % User time : 0.120 s
% 0.28/0.55 % System time : 0.023 s
% 0.28/0.55 % Total time : 0.143 s
% 0.28/0.55 % Maximum resident set size: 5120 pages
% 0.28/0.55 % E exiting
%------------------------------------------------------------------------------