TSTP Solution File: SWW470_2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW470_2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 : Fri May 3 03:25:06 EDT 2024
% Result : Theorem 61.28s 9.22s
% Output : CNFRefutation 61.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 66 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 572 ( 28 equ)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 93 ( 36 ~; 34 |; 9 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 449 ( 449 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 60 ( 58 usr; 31 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 170 ( 39 sgn 88 !; 9 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
tff(f9,axiom,
! [X0: fun_Ho287446294a_bool,X10: fun_a_fun_state_bool,X11: com,X12: fun_a_fun_state_bool,X13: bool] :
( ( hBOOL(X13)
=> hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X10,X11,X12)),bot_bo1766443648a_bool))) )
=> hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X10))),X13),X11,X12)),bot_bo1766443648a_bool))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_constant) ).
tff(f15,axiom,
! [X10: fun_a_fun_state_bool,X0: fun_Ho287446294a_bool,X17: fun_a_fun_state_bool,X11: com,X12: fun_a_fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X17,X11,X12)),bot_bo1766443648a_bool)))
=> ( ! [X14: x_a,X15: state] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X10,X14),X15))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X17,X14),X15)) )
=> hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X10,X11,X12)),bot_bo1766443648a_bool))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_conseq1) ).
tff(f28,axiom,
! [X20: hoare_1544627872iple_a] : ( collec445968053iple_a(hAPP_H1472549281a_bool(fequal1057774495iple_a,X20)) = hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,X20),bot_bo1766443648a_bool) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_singleton__conv2) ).
tff(f61,axiom,
! [X22: fun_Ho287446294a_bool] :
( ! [X24: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X24),X22))
<=> ( bot_bo1766443648a_bool = X22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_all__not__in__conv) ).
tff(f233,axiom,
! [X10: fun_Ho287446294a_bool] : ( collec445968053iple_a(X10) = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_Collect__def) ).
tff(f709,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
tff(f721,axiom,
! [X200: bool,X201: state] : ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X200),X201) = X200 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
tff(f727,axiom,
! [X200: fun_state_bool,X201: x_a] : ( hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X200),X201) = X200 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).
tff(f802,conjecture,
hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_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_bo1766443648a_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f803,negated_conjecture,
~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_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_bo1766443648a_bool))),
inference(negated_conjecture,[],[f802]) ).
tff(f810,plain,
! [X0: fun_Ho287446294a_bool,X1: fun_a_fun_state_bool,X2: com,X3: fun_a_fun_state_bool,X4: bool] :
( ( hBOOL(X4)
=> hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X1,X2,X3)),bot_bo1766443648a_bool))) )
=> hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X4),X2,X3)),bot_bo1766443648a_bool))) ),
inference(rectify,[],[f9]) ).
tff(f816,plain,
! [X0: fun_a_fun_state_bool,X1: fun_Ho287446294a_bool,X2: fun_a_fun_state_bool,X3: com,X4: fun_a_fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X2,X3,X4)),bot_bo1766443648a_bool)))
=> ( ! [X5: x_a,X6: state] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6)) )
=> hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X0,X3,X4)),bot_bo1766443648a_bool))) ) ),
inference(rectify,[],[f15]) ).
tff(f829,plain,
! [X0: hoare_1544627872iple_a] : ( collec445968053iple_a(hAPP_H1472549281a_bool(fequal1057774495iple_a,X0)) = hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,X0),bot_bo1766443648a_bool) ),
inference(rectify,[],[f28]) ).
tff(f862,plain,
! [X0: fun_Ho287446294a_bool] :
( ! [X1: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),X0))
<=> ( bot_bo1766443648a_bool = X0 ) ),
inference(rectify,[],[f61]) ).
tff(f1030,plain,
! [X0: fun_Ho287446294a_bool] : ( collec445968053iple_a(X0) = X0 ),
inference(rectify,[],[f233]) ).
tff(f1508,plain,
! [X0: bool,X1: state] : ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
inference(rectify,[],[f721]) ).
tff(f1514,plain,
! [X0: fun_state_bool,X1: x_a] : ( hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0 ),
inference(rectify,[],[f727]) ).
tff(f1589,plain,
~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_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_bo1766443648a_bool))),
inference(flattening,[],[f803]) ).
tff(f1598,plain,
! [X0: fun_Ho287446294a_bool,X1: fun_a_fun_state_bool,X2: com,X3: fun_a_fun_state_bool,X4: bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X4),X2,X3)),bot_bo1766443648a_bool)))
| ( ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X1,X2,X3)),bot_bo1766443648a_bool)))
& hBOOL(X4) ) ),
inference(ennf_transformation,[],[f810]) ).
tff(f1606,plain,
! [X0: fun_a_fun_state_bool,X1: fun_Ho287446294a_bool,X2: fun_a_fun_state_bool,X3: com,X4: fun_a_fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X0,X3,X4)),bot_bo1766443648a_bool)))
| ? [X5: x_a,X6: state] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6)) )
| ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X2,X3,X4)),bot_bo1766443648a_bool))) ),
inference(ennf_transformation,[],[f816]) ).
tff(f1607,plain,
! [X0: fun_a_fun_state_bool,X1: fun_Ho287446294a_bool,X2: fun_a_fun_state_bool,X3: com,X4: fun_a_fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X0,X3,X4)),bot_bo1766443648a_bool)))
| ? [X5: x_a,X6: state] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6)) )
| ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X2,X3,X4)),bot_bo1766443648a_bool))) ),
inference(flattening,[],[f1606]) ).
tff(f2141,plain,
! [X0: fun_a_fun_state_bool,X2: fun_a_fun_state_bool] :
( ? [X5: x_a,X6: state] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,X5),X6))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X5),X6)) )
=> ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK10(X0,X2)),sK11(X0,X2)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X2)),sK11(X0,X2))) ) ),
introduced(choice_axiom,[]) ).
tff(f2142,plain,
! [X0: fun_a_fun_state_bool,X1: fun_Ho287446294a_bool,X2: fun_a_fun_state_bool,X3: com,X4: fun_a_fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X0,X3,X4)),bot_bo1766443648a_bool)))
| ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,sK10(X0,X2)),sK11(X0,X2)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X2)),sK11(X0,X2))) )
| ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X2,X3,X4)),bot_bo1766443648a_bool))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f1607,f2141]) ).
tff(f2195,plain,
! [X0: fun_Ho287446294a_bool] :
( ( ! [X1: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),X0))
| ( bot_bo1766443648a_bool != X0 ) )
& ( ( bot_bo1766443648a_bool = X0 )
| ? [X1: hoare_1544627872iple_a] : hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),X0)) ) ),
inference(nnf_transformation,[],[f862]) ).
tff(f2196,plain,
! [X0: fun_Ho287446294a_bool] :
( ( ! [X1: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),X0))
| ( bot_bo1766443648a_bool != X0 ) )
& ( ( bot_bo1766443648a_bool = X0 )
| ? [X2: hoare_1544627872iple_a] : hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X2),X0)) ) ),
inference(rectify,[],[f2195]) ).
tff(f2197,plain,
! [X0: fun_Ho287446294a_bool] :
( ? [X2: hoare_1544627872iple_a] : hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X2),X0))
=> hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,sK31(X0)),X0)) ),
introduced(choice_axiom,[]) ).
tff(f2198,plain,
! [X0: fun_Ho287446294a_bool] :
( ( ! [X1: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),X0))
| ( bot_bo1766443648a_bool != X0 ) )
& ( ( bot_bo1766443648a_bool = X0 )
| hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,sK31(X0)),X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f2196,f2197]) ).
tff(f2596,plain,
! [X2: com,X3: fun_a_fun_state_bool,X0: fun_Ho287446294a_bool,X1: fun_a_fun_state_bool,X4: bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X4),X2,X3)),bot_bo1766443648a_bool)))
| hBOOL(X4) ),
inference(cnf_transformation,[],[f1598]) ).
tff(f2608,plain,
! [X2: fun_a_fun_state_bool,X3: com,X0: fun_a_fun_state_bool,X1: fun_Ho287446294a_bool,X4: fun_a_fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X0,X3,X4)),bot_bo1766443648a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X2)),sK11(X0,X2)))
| ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X2,X3,X4)),bot_bo1766443648a_bool))) ),
inference(cnf_transformation,[],[f2142]) ).
tff(f2630,plain,
! [X0: hoare_1544627872iple_a] : ( collec445968053iple_a(hAPP_H1472549281a_bool(fequal1057774495iple_a,X0)) = hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,X0),bot_bo1766443648a_bool) ),
inference(cnf_transformation,[],[f829]) ).
tff(f2683,plain,
! [X0: fun_Ho287446294a_bool,X1: hoare_1544627872iple_a] :
( ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),X0))
| ( bot_bo1766443648a_bool != X0 ) ),
inference(cnf_transformation,[],[f2198]) ).
tff(f2950,plain,
! [X0: fun_Ho287446294a_bool] : ( collec445968053iple_a(X0) = X0 ),
inference(cnf_transformation,[],[f1030]) ).
tff(f3684,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f709]) ).
tff(f3696,plain,
! [X0: bool,X1: state] : ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
inference(cnf_transformation,[],[f1508]) ).
tff(f3702,plain,
! [X0: fun_state_bool,X1: x_a] : ( hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0 ),
inference(cnf_transformation,[],[f1514]) ).
tff(f3777,plain,
~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_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_bo1766443648a_bool))),
inference(cnf_transformation,[],[f1589]) ).
tff(f3793,plain,
! [X1: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1),bot_bo1766443648a_bool)),
inference(equality_resolution,[],[f2683]) ).
cnf(c_62,plain,
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_23))),X0_19),X0_14,X1_23)),bot_bo1766443648a_bool)))
| hBOOL(X0_19) ),
inference(cnf_transformation,[],[f2596]) ).
cnf(c_74,plain,
( ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X0_23,X0_14,X1_23)),bot_bo1766443648a_bool)))
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X2_23,X0_14,X1_23)),bot_bo1766443648a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2_23,sK10(X2_23,X0_23)),sK11(X2_23,X0_23))) ),
inference(cnf_transformation,[],[f2608]) ).
cnf(c_95,plain,
hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,X0_20),bot_bo1766443648a_bool) = collec445968053iple_a(hAPP_H1472549281a_bool(fequal1057774495iple_a,X0_20)),
inference(cnf_transformation,[],[f2630]) ).
cnf(c_147,plain,
~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X0_20),bot_bo1766443648a_bool)),
inference(cnf_transformation,[],[f3793]) ).
cnf(c_410,plain,
collec445968053iple_a(X0_49) = X0_49,
inference(cnf_transformation,[],[f2950]) ).
cnf(c_1130,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f3684]) ).
cnf(c_1142,plain,
hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0_19),X0_17) = X0_19,
inference(cnf_transformation,[],[f3696]) ).
cnf(c_1148,plain,
hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0_29),X0_13) = X0_29,
inference(cnf_transformation,[],[f3702]) ).
cnf(c_1223,negated_conjecture,
~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_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_bo1766443648a_bool))),
inference(cnf_transformation,[],[f3777]) ).
cnf(c_2320,plain,
( hBOOL(X0_19)
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_23))),X0_19),X0_14,X1_23)),bot_bo1766443648a_bool))) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
cnf(c_2321,plain,
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_23))),X0_19),X0_14,X1_23)),bot_bo1766443648a_bool)))
| hBOOL(X0_19) ),
inference(renaming,[status(thm)],[c_2320]) ).
cnf(c_8582,plain,
hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,X0_20),bot_bo1766443648a_bool) = hAPP_H1472549281a_bool(fequal1057774495iple_a,X0_20),
inference(demodulation,[status(thm)],[c_95,c_410]) ).
cnf(c_9956,plain,
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_23))),X0_19),X0_14,X1_23))))
| hBOOL(X0_19) ),
inference(demodulation,[status(thm)],[c_2321,c_8582]) ).
cnf(c_10403,plain,
~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_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)))))),
inference(demodulation,[status(thm)],[c_1223,c_8582]) ).
cnf(c_10433,plain,
( ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(X0_23,X0_14,X1_23))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2_23,sK10(X2_23,X0_23)),sK11(X2_23,X0_23)))
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(X2_23,X0_14,X1_23)))) ),
inference(demodulation,[status(thm)],[c_74,c_8582]) ).
cnf(c_11589,plain,
( hBOOL(X0_19)
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_23))),X0_19),X0_14,X1_23)))) ),
inference(prop_impl_just,[status(thm)],[c_9956]) ).
cnf(c_11590,plain,
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_23))),X0_19),X0_14,X1_23))))
| hBOOL(X0_19) ),
inference(renaming,[status(thm)],[c_11589]) ).
cnf(c_19412,plain,
( ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(X0_23,X0_14,X1_23))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2_23,sK10(X2_23,X0_23)),sK11(X2_23,X0_23)))
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(X2_23,X0_14,X1_23)))) ),
inference(subtyping,[status(esa)],[c_10433]) ).
cnf(c_19414,plain,
~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(g),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_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)))))),
inference(subtyping,[status(esa)],[c_10403]) ).
cnf(c_19458,plain,
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_23))),X0_19),X0_14,X1_23))))
| hBOOL(X0_19) ),
inference(subtyping,[status(esa)],[c_11590]) ).
cnf(c_19707,plain,
hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0_29),X0_244) = X0_29,
inference(subtyping,[status(esa)],[c_1148]) ).
cnf(c_19713,plain,
hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0_19),X0_17) = X0_19,
inference(subtyping,[status(esa)],[c_1142]) ).
cnf(c_19725,plain,
~ hBOOL(fFalse),
inference(subtyping,[status(esa)],[c_1130]) ).
cnf(c_20189,plain,
~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X0_20),bot_bo1766443648a_bool)),
inference(subtyping,[status(esa)],[c_147]) ).
cnf(c_28977,plain,
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0_23,sK10(X0_23,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1_23))),X0_19))),sK11(X0_23,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1_23))),X0_19))))
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X0_49),hAPP_H1472549281a_bool(fequal1057774495iple_a,hoare_196563068iple_a(X0_23,X0_14,X2_23))))
| hBOOL(X0_19) ),
inference(superposition,[status(thm)],[c_19458,c_19412]) ).
cnf(c_30472,plain,
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),sK10(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_23))),X0_19))),sK11(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X0_23))),X0_19))))
| hBOOL(X0_19) ),
inference(superposition,[status(thm)],[c_28977,c_19414]) ).
cnf(c_30483,plain,
( hBOOL(X0_19)
| hBOOL(fFalse) ),
inference(demodulation,[status(thm)],[c_30472,c_19713,c_19707]) ).
cnf(c_30484,plain,
hBOOL(X0_19),
inference(forward_subsumption_resolution,[status(thm)],[c_30483,c_19725]) ).
cnf(c_30663,plain,
$false,
inference(superposition,[status(thm)],[c_30484,c_20189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW470_2 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 22:12:02 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 61.28/9.22 % SZS status Started for theBenchmark.p
% 61.28/9.22 % SZS status Theorem for theBenchmark.p
% 61.28/9.22
% 61.28/9.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 61.28/9.22
% 61.28/9.22 ------ iProver source info
% 61.28/9.22
% 61.28/9.22 git: date: 2024-05-02 19:28:25 +0000
% 61.28/9.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 61.28/9.22 git: non_committed_changes: false
% 61.28/9.22
% 61.28/9.22 ------ Parsing...
% 61.28/9.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 61.28/9.22
% 61.28/9.22 ------ Preprocessing... sup_sim: 222 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe_e sup_sim: 8 sf_s rm: 3 0s sf_e pe_s pe_e
% 61.28/9.22
% 61.28/9.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 61.28/9.22
% 61.28/9.22 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 61.28/9.22 ------ Proving...
% 61.28/9.22 ------ Problem Properties
% 61.28/9.22
% 61.28/9.22
% 61.28/9.22 clauses 861
% 61.28/9.22 conjectures 0
% 61.28/9.22 EPR 4
% 61.28/9.22 Horn 636
% 61.28/9.22 unary 263
% 61.28/9.22 binary 350
% 61.28/9.22 lits 1876
% 61.28/9.22 lits eq 641
% 61.28/9.22 fd_pure 1
% 61.28/9.22 fd_pseudo 0
% 61.28/9.22 fd_cond 85
% 61.28/9.22 fd_pseudo_cond 72
% 61.28/9.22 AC symbols 0
% 61.28/9.22
% 61.28/9.22 ------ Input Options Time Limit: Unbounded
% 61.28/9.22
% 61.28/9.22
% 61.28/9.22 ------
% 61.28/9.22 Current options:
% 61.28/9.22 ------
% 61.28/9.22
% 61.28/9.22
% 61.28/9.22
% 61.28/9.22
% 61.28/9.22 ------ Proving...
% 61.28/9.22
% 61.28/9.22
% 61.28/9.22 % SZS status Theorem for theBenchmark.p
% 61.28/9.22
% 61.28/9.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 61.28/9.23
% 61.28/9.23
%------------------------------------------------------------------------------