%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW470+2 : TPTP v9.2.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:32:27 PM UTC 2026
% Result : Theorem 61.33s 36.56s
% Output : CNFRefutation 61.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 62 ( 36 unt; 0 def)
% Number of atoms : 100 ( 41 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 67 ( 29 ~; 28 |; 3 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 47 ( 47 usr; 22 con; 0-4 aty)
% Number of variables : 79 ( 17 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_47_Collect__empty__eq,axiom,
! [X15] :
( collec268032053iple_a(X15) = bot_bo1181479936a_bool
<=> ! [X29] : ~ hBOOL(hAPP_H1421470952a_bool(X15,X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_Collect__empty__eq) ).
fof(help_fFalse_1_1_T,axiom,
! [X205] :
( is_bool(X205)
=> ( X205 = fTrue
| X205 = fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
fof(gsy_c_Finite__Set_Ocomp__fun__idem_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mt,axiom,
! [X1] : is_bool(finite1956789438t_bool(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Finite__Set_Ocomp__fun__idem_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mt) ).
fof(fact_232_Collect__def,axiom,
! [X15] : collec268032053iple_a(X15) = X15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_232_Collect__def) ).
fof(fact_411_comp__fun__idem__insert,axiom,
hBOOL(finite1956789438t_bool(insert_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_411_comp__fun__idem__insert) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(fact_124_bot__apply,axiom,
! [X30] :
( hBOOL(hAPP_H1421470952a_bool(bot_bo1181479936a_bool,X30))
<=> hBOOL(bot_bot_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_bot__apply) ).
fof(gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool,axiom,
is_bool(bot_bot_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool) ).
fof(gsy_c_hAPP_000tc__Com__Ostate_000tc__HOL__Obool,axiom,
! [X1,X2] : is_bool(hAPP_state_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Com__Ostate_000tc__HOL__Obool) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
! [X205,X206] :
( is_bool(X205)
=> hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X205),X206) = X205 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
fof(fact_10_escape,axiom,
! [X5,X16,X17,X15] :
( ! [X19,X20] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X15,X19),X20))
=> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X5),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),X20)),X16,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X17,X19)))),bot_bo1181479936a_bool))) )
=> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X5),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X15,X16,X17)),bot_bo1181479936a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_escape) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U,axiom,
! [X205,X206] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X205),X206) = X205,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).
fof(conj_0,conjecture,
hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_Mtc,hypothesis,
! [X1,X2] : is_bool(hAPP_f540970102l_bool(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_Mtc) ).
fof(c_0_14,plain,
! [X15] :
( collec268032053iple_a(X15) = bot_bo1181479936a_bool
<=> ! [X29] : ~ hBOOL(hAPP_H1421470952a_bool(X15,X29)) ),
inference(fof_simplification,[status(thm)],[fact_47_Collect__empty__eq]) ).
fof(c_0_15,plain,
! [X4513] :
( ~ is_bool(X4513)
| X4513 = fTrue
| X4513 = fFalse ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_fFalse_1_1_T])]) ).
fof(c_0_16,plain,
! [X2420] : is_bool(finite1956789438t_bool(X2420)),
inference(variable_rename,[status(thm)],[gsy_c_Finite__Set_Ocomp__fun__idem_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mt]) ).
fof(c_0_17,plain,
! [X2606,X2607,X2608] :
( ( collec268032053iple_a(X2606) != bot_bo1181479936a_bool
| ~ hBOOL(hAPP_H1421470952a_bool(X2606,X2607)) )
& ( hBOOL(hAPP_H1421470952a_bool(X2608,esk20_1(X2608)))
| collec268032053iple_a(X2608) = bot_bo1181479936a_bool ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).
fof(c_0_18,plain,
! [X3143] : collec268032053iple_a(X3143) = X3143,
inference(variable_rename,[status(thm)],[fact_232_Collect__def]) ).
cnf(c_0_19,plain,
( X1 = fTrue
| X1 = fFalse
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
is_bool(finite1956789438t_bool(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( collec268032053iple_a(X1) != bot_bo1181479936a_bool
| ~ hBOOL(hAPP_H1421470952a_bool(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
collec268032053iple_a(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
hBOOL(finite1956789438t_bool(insert_nat)),
inference(split_conjunct,[status(thm)],[fact_411_comp__fun__idem__insert]) ).
cnf(c_0_24,plain,
( finite1956789438t_bool(X1) = fTrue
| finite1956789438t_bool(X1) = fFalse ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_25,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
fof(c_0_26,plain,
! [X2793] :
( ( ~ hBOOL(hAPP_H1421470952a_bool(bot_bo1181479936a_bool,X2793))
| hBOOL(bot_bot_bool) )
& ( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_H1421470952a_bool(bot_bo1181479936a_bool,X2793)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_124_bot__apply])]) ).
cnf(c_0_27,plain,
( X1 != bot_bo1181479936a_bool
| ~ hBOOL(hAPP_H1421470952a_bool(X1,X2)) ),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
( finite1956789438t_bool(insert_nat) = fFalse
| hBOOL(fTrue) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
is_bool(bot_bot_bool),
inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool]) ).
cnf(c_0_31,plain,
( hBOOL(hAPP_H1421470952a_bool(bot_bo1181479936a_bool,X1))
| ~ hBOOL(bot_bot_bool) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
~ hBOOL(hAPP_H1421470952a_bool(bot_bo1181479936a_bool,X1)),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
hBOOL(fTrue),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_28]),c_0_29]) ).
cnf(c_0_34,plain,
( fTrue = bot_bot_bool
| fFalse = bot_bot_bool ),
inference(spm,[status(thm)],[c_0_19,c_0_30]) ).
cnf(c_0_35,plain,
~ hBOOL(bot_bot_bool),
inference(sr,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
fFalse = bot_bot_bool,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
fof(c_0_37,plain,
! [X2437,X2438] : is_bool(hAPP_state_bool(X2437,X2438)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Com__Ostate_000tc__HOL__Obool]) ).
fof(c_0_38,plain,
! [X4533,X4534] :
( ~ is_bool(X4533)
| hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X4533),X4534) = X4533 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U])]) ).
cnf(c_0_39,plain,
( X1 = fTrue
| X1 = bot_bot_bool
| ~ is_bool(X1) ),
inference(rw,[status(thm)],[c_0_19,c_0_36]) ).
cnf(c_0_40,plain,
is_bool(hAPP_state_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,plain,
( finite1956789438t_bool(X1) = fFalse
| fTrue != fFalse ),
inference(ef,[status(thm)],[c_0_24]) ).
fof(c_0_42,plain,
! [X2491,X2492,X2493,X2494] :
( ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2494,esk1_4(X2491,X2492,X2493,X2494)),esk2_4(X2491,X2492,X2493,X2494)))
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2491),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X2494,X2492,X2493)),bot_bo1181479936a_bool))) )
& ( ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2491),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),esk2_4(X2491,X2492,X2493,X2494))),X2492,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(X2493,esk1_4(X2491,X2492,X2493,X2494))))),bot_bo1181479936a_bool)))
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2491),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X2494,X2492,X2493)),bot_bo1181479936a_bool))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_10_escape])])])]) ).
fof(c_0_43,plain,
! [X4548,X4549] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X4548),X4549) = X4548,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U]) ).
cnf(c_0_44,plain,
( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
( hAPP_state_bool(X1,X2) = bot_bot_bool
| hAPP_state_bool(X1,X2) = fTrue ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
fTrue != fFalse,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_41]),c_0_29]) ).
fof(c_0_47,negated_conjecture,
~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_48,hypothesis,
! [X2447,X2448] : is_bool(hAPP_f540970102l_bool(X2447,X2448)),
inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____ddpglwnxwg__Otriple_It__a_J_Mtc]) ).
cnf(c_0_49,plain,
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,esk1_4(X2,X3,X4,X1)),esk2_4(X2,X3,X4,X1)))
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X1,X3,X4)),bot_bo1181479936a_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X1),X2) = bot_bot_bool
| fTrue = X1
| ~ is_bool(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,plain,
fTrue != bot_bot_bool,
inference(rw,[status(thm)],[c_0_46,c_0_36]) ).
cnf(c_0_53,negated_conjecture,
~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,hypothesis,
is_bool(hAPP_f540970102l_bool(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,plain,
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X1),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X2),X3,X4)),bot_bo1181479936a_bool)))
| hBOOL(hAPP_state_bool(X2,esk2_4(X1,X3,X4,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X2)))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool),X1) = bot_bot_bool,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_30]),c_0_52]) ).
cnf(c_0_57,negated_conjecture,
~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),
inference(rw,[status(thm)],[c_0_53,c_0_36]) ).
cnf(c_0_58,hypothesis,
( hAPP_f540970102l_bool(X1,X2) = bot_bot_bool
| hAPP_f540970102l_bool(X1,X2) = fTrue ),
inference(spm,[status(thm)],[c_0_39,c_0_54]) ).
cnf(c_0_59,plain,
hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X1),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),X2,X3)),bot_bo1181479936a_bool))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_35]) ).
cnf(c_0_60,negated_conjecture,
hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool)) = bot_bot_bool,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_33])]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW470+2 : TPTP v9.2.1. Released v5.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n007.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 06:52:08 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 61.33/36.56 % Version : CSE_E---1.7
% 61.33/36.56 % Problem : theBenchmark.p
% 61.33/36.56 % SZS status Theorem for theBenchmark.p
% 61.33/36.56 % SZS output start CNFRefutation
% See solution above
% 61.64/36.80 % Total time : 26.633s
%------------------------------------------------------------------------------