%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW474_1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 0.17s 10.65s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 18 unt; 0 typ; 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 types : 13 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 ( 0 sgn 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_co1814942666_state: $tType ).
tff(decl_sort2,type,
fun_pname_com: $tType ).
tff(decl_sort3,type,
fun_pn447269700_state: $tType ).
tff(decl_sort4,type,
fun_Ho734851753e_bool: $tType ).
tff(decl_sort5,type,
fun_pname_bool: $tType ).
tff(decl_sort6,type,
fun_fu1783763359l_bool: $tType ).
tff(decl_sort7,type,
fun_pname_option_com: $tType ).
tff(decl_sort8,type,
option_com: $tType ).
tff(decl_sort9,type,
pname: $tType ).
tff(decl_sort10,type,
bool: $tType ).
tff(decl_sort11,type,
hoare_1848483303_state: $tType ).
tff(decl_sort12,type,
com: $tType ).
tff(decl_23,type,
cOMBB_573322273_pname: ( fun_pname_com * fun_co1814942666_state ) > fun_pn447269700_state ).
tff(decl_69,type,
wt: com > bool ).
tff(decl_70,type,
wT_bodies: bool ).
tff(decl_71,type,
body: fun_pname_option_com ).
tff(decl_72,type,
body_1: fun_pname_com ).
tff(decl_81,type,
hoare_Mirabelle_MGT: fun_co1814942666_state ).
tff(decl_82,type,
hoare_1193527299_state: fun_Ho734851753e_bool > fun_fu1783763359l_bool ).
tff(decl_83,type,
hoare_1310879719gleton: bool ).
tff(decl_84,type,
dom_pname_com: fun_pname_option_com > fun_pname_bool ).
tff(decl_87,type,
some_com: com > option_com ).
tff(decl_90,type,
bot_bo454148287e_bool: fun_Ho734851753e_bool ).
tff(decl_110,type,
image_1256224870_state: ( fun_pname_bool * fun_pn447269700_state ) > fun_Ho734851753e_bool ).
tff(decl_129,type,
insert668001005_state: ( fun_Ho734851753e_bool * hoare_1848483303_state ) > fun_Ho734851753e_bool ).
tff(decl_144,type,
hAPP_c379084956_state: ( com * fun_co1814942666_state ) > hoare_1848483303_state ).
tff(decl_149,type,
hAPP_p799580910on_com: ( pname * fun_pname_option_com ) > option_com ).
tff(decl_172,type,
hAPP_f355887345l_bool: ( fun_Ho734851753e_bool * fun_fu1783763359l_bool ) > bool ).
tff(decl_193,type,
hBOOL: bool > $o ).
tff(decl_199,type,
pn: pname ).
tff(decl_200,type,
y: com ).
tff(fact_288_WT__bodiesD,axiom,
! [X449: pname,X450: com] :
( hBOOL(wT_bodies)
=> ( ( hAPP_p799580910on_com(body,X449) = some_com(X450) )
=> hBOOL(wt(X450)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).
tff(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(fact_103_MGF,axiom,
! [X170: com] :
( hBOOL(hoare_1310879719gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(wt(X170))
=> hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X170),bot_bo454148287e_bool))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_MGF) ).
tff(conj_5,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).
tff(conj_7,conjecture,
hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).
tff(fact_4_cut,axiom,
! [X1: fun_Ho734851753e_bool,X4: fun_Ho734851753e_bool,X2: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X4),X2))
=> ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X4))
=> hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).
tff(fact_0_empty,axiom,
! [X1: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),bot_bo454148287e_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).
tff(conj_0,hypothesis,
hBOOL(hoare_1310879719gleton),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(c_0_8,plain,
! [X624: pname,X625: com] :
( hBOOL(wt(X625))
| ( hAPP_p799580910on_com(body,X624) != some_com(X625) )
| ~ hBOOL(wT_bodies) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_288_WT__bodiesD])])]) ).
tcf(c_0_9,plain,
! [X6: pname,X112: com] :
( ( hAPP_p799580910on_com(body,X6) != some_com(X112) )
| ~ hBOOL(wT_bodies)
| hBOOL(wt(X112)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_10,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[conj_1]) ).
tff(c_0_11,plain,
! [X620: com] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X620),bot_bo454148287e_bool)))
| ~ hBOOL(wt(X620))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1310879719gleton) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_103_MGF])])]) ).
tcf(c_0_12,plain,
! [X6: pname,X112: com] :
( ( hAPP_p799580910on_com(body,X6) != some_com(X112) )
| hBOOL(wt(X112)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
tcf(c_0_13,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
tff(c_0_14,negated_conjecture,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
inference(assume_negation,[status(cth)],[conj_7]) ).
tff(c_0_15,plain,
! [X769: fun_Ho734851753e_bool,X770: fun_Ho734851753e_bool,X771: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X769),X771))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X769),X770))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X770),X771)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])])]) ).
tff(c_0_16,plain,
! [X760: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X760),bot_bo454148287e_bool)),
inference(variable_rename,[status(thm)],[fact_0_empty]) ).
tcf(c_0_17,plain,
! [X112: com] :
( ~ hBOOL(wt(X112))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_1310879719gleton)
| hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X112),bot_bo454148287e_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
tcf(c_0_18,hypothesis,
hBOOL(hoare_1310879719gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
tcf(c_0_19,hypothesis,
! [X6: pname] :
( ( hAPP_p799580910on_com(body,X6) != hAPP_p799580910on_com(body,pn) )
| hBOOL(wt(y)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
tff(c_0_20,negated_conjecture,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
tcf(c_0_21,plain,
! [X3: fun_Ho734851753e_bool,X2: fun_Ho734851753e_bool,X1: fun_Ho734851753e_bool] :
( ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X3),X1))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2))
| hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_22,plain,
! [X1: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),bot_bo454148287e_bool)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
tcf(c_0_23,plain,
! [X112: com] :
( ~ hBOOL(wt(X112))
| hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X112),bot_bo454148287e_bool))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_10]),c_0_18])]) ).
tcf(c_0_24,hypothesis,
hBOOL(wt(y)),
inference(er,[status(thm)],[c_0_19]) ).
tff(c_0_25,negated_conjecture,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
inference(fof_nnf,[status(thm)],[c_0_20]) ).
tcf(c_0_26,plain,
! [X1: fun_Ho734851753e_bool,X2: fun_Ho734851753e_bool] :
( ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),X2))
| hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
tcf(c_0_27,hypothesis,
hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
tcf(c_0_28,negated_conjecture,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
tcf(c_0_29,hypothesis,
! [X1: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/10.42 % Computer : n020.cluster.edu
% 0.13/10.42 % Model : x86_64 x86_64
% 0.13/10.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.42 % Memory : 8046.5625MB
% 0.13/10.42 % OS : Linux 6.8.0-71-generic
% 0.13/10.42 % CPULimit : 300
% 0.13/10.42 % WCLimit : 300
% 0.13/10.42 % DateTime : Mon Sep 21 09:59:43 UTC 2026
% 0.13/10.42 % CPUTime :
% 0.13/10.42 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/10.49 Running first-order theorem proving
% 0.13/10.49 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
% 0.17/10.65 % Version: 3.5.1
% 0.17/10.65 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.17/10.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/10.65 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.17/10.65 % Starting new_bool_3 with 600s (2) cores
% 0.17/10.65 % Starting new_bool_1 with 300s (1) cores
% 0.17/10.65 % Starting sh5l with 300s (1) cores
% 0.17/10.65 % new_bool_3 with pid 2635832 completed with status 0
% 0.17/10.65 % Result found by new_bool_3
% 0.17/10.65 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.17/10.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/10.65 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.17/10.65 % Starting new_bool_3 with 600s (2) cores
% 0.17/10.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/10.65 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/10.65 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.17/10.65 % Scheduled 8 strats onto 2 cores with 600 seconds (600 total)
% 0.17/10.65 % Starting SubtermCWHack with 55s (1) cores
% 0.17/10.65 % Starting new_bool_3 with 61s (1) cores
% 0.17/10.65 % new_bool_3 with pid 2635836 completed with status 0
% 0.17/10.65 % Result found by new_bool_3
% 0.17/10.65 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.17/10.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/10.65 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.17/10.65 % Starting new_bool_3 with 600s (2) cores
% 0.17/10.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/10.65 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/10.65 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.17/10.65 % Scheduled 8 strats onto 2 cores with 600 seconds (600 total)
% 0.17/10.65 % Starting SubtermCWHack with 55s (1) cores
% 0.17/10.65 % Starting new_bool_3 with 61s (1) cores
% 0.17/10.65 % Preprocessing time : 0.007 s
% 0.17/10.65 % Presaturation interreduction done
% 0.17/10.65
% 0.17/10.65 % Proof found!
% 0.17/10.65 % SZS status Theorem
% 0.17/10.65 % SZS output start CNFRefutation
% See solution above
% 0.17/10.65 % Parsed axioms : 613
% 0.17/10.65 % Removed by relevancy pruning/SinE : 480
% 0.17/10.65 % Initial clauses : 195
% 0.17/10.65 % Removed in clause preprocessing : 5
% 0.17/10.65 % Initial clauses in saturation : 190
% 0.17/10.65 % Processed clauses : 345
% 0.17/10.65 % ...of these trivial : 0
% 0.17/10.65 % ...subsumed : 80
% 0.17/10.65 % ...remaining for further processing : 265
% 0.17/10.65 % Other redundant clauses eliminated : 36
% 0.17/10.65 % Clauses deleted for lack of memory : 0
% 0.17/10.65 % Backward-subsumed : 0
% 0.17/10.65 % Backward-rewritten : 4
% 0.17/10.65 % Generated clauses : 343
% 0.17/10.65 % ...of the previous two non-redundant : 210
% 0.17/10.65 % ...aggressively subsumed : 0
% 0.17/10.65 % Contextual simplify-reflections : 0
% 0.17/10.65 % Paramodulations : 302
% 0.17/10.65 % Factorizations : 0
% 0.17/10.65 % NegExts : 0
% 0.17/10.65 % Equation resolutions : 43
% 0.17/10.65 % Disequality decompositions : 0
% 0.17/10.65 % Total rewrite steps : 139
% 0.17/10.65 % ...of those cached : 88
% 0.17/10.65 % Propositional unsat checks : 0
% 0.17/10.65 % Propositional check models : 0
% 0.17/10.65 % Propositional check unsatisfiable : 0
% 0.17/10.65 % Propositional clauses : 0
% 0.17/10.65 % Propositional clauses after purity: 0
% 0.17/10.65 % Propositional unsat core size : 0
% 0.17/10.65 % Propositional preprocessing time : 0.000
% 0.17/10.65 % Propositional encoding time : 0.000
% 0.17/10.65 % Propositional solver time : 0.000
% 0.17/10.65 % Success case prop preproc time : 0.000
% 0.17/10.65 % Success case prop encoding time : 0.000
% 0.17/10.65 % Success case prop solver time : 0.000
% 0.17/10.65 % Current number of processed clauses : 102
% 0.17/10.65 % Positive orientable unit clauses : 44
% 0.17/10.65 % Positive unorientable unit clauses: 2
% 0.17/10.65 % Negative unit clauses : 6
% 0.17/10.65 % Non-unit-clauses : 50
% 0.17/10.65 % Current number of unprocessed clauses: 180
% 0.17/10.65 % ...number of literals in the above : 379
% 0.17/10.65 % Current number of archived formulas : 0
% 0.17/10.65 % Current number of archived clauses : 129
% 0.17/10.65 % Clause-clause subsumption calls (NU) : 1290
% 0.17/10.65 % Rec. Clause-clause subsumption calls : 827
% 0.17/10.65 % Non-unit clause-clause subsumptions : 59
% 0.17/10.65 % Unit Clause-clause subsumption calls : 36
% 0.17/10.65 % Rewrite failures with RHS unbound : 0
% 0.17/10.65 % BW rewrite match attempts : 101
% 0.17/10.65 % BW rewrite match successes : 26
% 0.17/10.65 % Condensation attempts : 0
% 0.17/10.65 % Condensation successes : 0
% 0.17/10.65 % Termbank termtop insertions : 24455
% 0.17/10.65 % Search garbage collected termcells : 5060
% 0.17/10.65
% 0.17/10.65 % -------------------------------------------------
% 0.17/10.65 % User time : 0.058 s
% 0.17/10.65 % System time : 0.007 s
% 0.17/10.65 % Total time : 0.065 s
% 0.17/10.65 % Maximum resident set size: 4912 pages
% 0.17/10.65
% 0.17/10.65 % -------------------------------------------------
% 0.17/10.65 % User time : 0.099 s
% 0.17/10.65 % System time : 0.024 s
% 0.17/10.65 % Total time : 0.123 s
% 0.17/10.65 % Maximum resident set size: 5888 pages
% 0.17/10.65 % E exiting
%------------------------------------------------------------------------------