TSTP Solution File: SWW470+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW470+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 Apr 30 20:50:19 EDT 2024
% Result : Theorem 1.78s 0.61s
% Output : CNFRefutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 16 unt; 0 def)
% Number of atoms : 51 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 18 ~; 14 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 19 con; 0-4 aty)
% Number of variables : 52 ( 50 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,hypothesis,
is_bool(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [Ga] : hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(Ga),bot_bo1181479936a_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [Ga,G_1,Ts] :
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(G_1),Ts))
=> ( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(Ga),G_1))
=> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(Ga),Ts)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [Ga,Ca,Q_1,Pa] :
( ! [Z_7,S_2] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,Z_7),S_2))
=> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(Ga),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),S_2)),Ca,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(Q_1,Z_7)))),bot_bo1181479936a_bool))) )
=> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(Ga),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(Pa,Ca,Q_1)),bot_bo1181479936a_bool))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f737,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f749,axiom,
! [P,Q] :
( is_bool(P)
=> hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,P),Q) = P ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f755,axiom,
! [P,Q] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,P),Q) = P,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f830,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/sandbox/benchmark/theBenchmark.p') ).
fof(f831,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(negated_conjecture,[status(cth)],[f830]) ).
fof(f851,plain,
is_bool(fFalse),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f864,plain,
! [X0] : hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),bot_bo1181479936a_bool)),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f878,plain,
! [Ga,G_1,Ts] :
( ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(G_1),Ts))
| ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(Ga),G_1))
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(Ga),Ts)) ),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f879,plain,
! [G_1,Ts] :
( ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(G_1),Ts))
| ! [Ga] :
( ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(Ga),G_1))
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(Ga),Ts)) ) ),
inference(miniscoping,[status(esa)],[f878]) ).
fof(f880,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),X1))
| ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2),X0))
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2),X1)) ),
inference(cnf_transformation,[status(esa)],[f879]) ).
fof(f896,plain,
! [Ga,Ca,Q_1,Pa] :
( ? [Z_7,S_2] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,Z_7),S_2))
& ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(Ga),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),S_2)),Ca,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(Q_1,Z_7)))),bot_bo1181479936a_bool))) )
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(Ga),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(Pa,Ca,Q_1)),bot_bo1181479936a_bool))) ),
inference(pre_NNF_transformation,[status(esa)],[f39]) ).
fof(f897,plain,
! [Ga,Ca,Q_1,Pa] :
( ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,sk0_0(Pa,Q_1,Ca,Ga)),sk0_1(Pa,Q_1,Ca,Ga)))
& ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(Ga),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),sk0_1(Pa,Q_1,Ca,Ga))),Ca,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(Q_1,sk0_0(Pa,Q_1,Ca,Ga))))),bot_bo1181479936a_bool))) )
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(Ga),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(Pa,Ca,Q_1)),bot_bo1181479936a_bool))) ),
inference(skolemization,[status(esa)],[f896]) ).
fof(f898,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sk0_0(X0,X1,X2,X3)),sk0_1(X0,X1,X2,X3)))
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X3),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X0,X2,X1)),bot_bo1181479936a_bool))) ),
inference(cnf_transformation,[status(esa)],[f897]) ).
fof(f2982,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[status(esa)],[f737]) ).
fof(f3000,plain,
! [P,Q] :
( ~ is_bool(P)
| hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,P),Q) = P ),
inference(pre_NNF_transformation,[status(esa)],[f749]) ).
fof(f3001,plain,
! [P] :
( ~ is_bool(P)
| ! [Q] : hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,P),Q) = P ),
inference(miniscoping,[status(esa)],[f3000]) ).
fof(f3002,plain,
! [X0,X1] :
( ~ is_bool(X0)
| hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
inference(cnf_transformation,[status(esa)],[f3001]) ).
fof(f3008,plain,
! [X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
inference(cnf_transformation,[status(esa)],[f755]) ).
fof(f3089,plain,
~ 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(cnf_transformation,[status(esa)],[f831]) ).
fof(f3332,plain,
! [X0] : hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),X0) = fFalse,
inference(resolution,[status(thm)],[f3002,f851]) ).
fof(f3335,plain,
! [X0] :
( ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),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)))
| ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),X0)) ),
inference(resolution,[status(thm)],[f880,f3089]) ).
fof(f3386,plain,
~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(bot_bo1181479936a_bool),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(resolution,[status(thm)],[f864,f3335]) ).
fof(f4626,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_state_bool(X0,sk0_1(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1,X2,X3)))
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X3),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X2,X1)),bot_bo1181479936a_bool))) ),
inference(paramodulation,[status(thm)],[f3008,f898]) ).
fof(f4914,plain,
hBOOL(hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),sk0_1(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),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)),c,bot_bo1181479936a_bool))),
inference(resolution,[status(thm)],[f4626,f3386]) ).
fof(f4915,plain,
hBOOL(fFalse),
inference(forward_demodulation,[status(thm)],[f3332,f4914]) ).
fof(f4916,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4915,f2982]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SWW470+2 : TPTP v8.1.2. Released v5.3.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n011.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Apr 29 23:13:46 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.38 % Drodi V3.6.0
% 1.78/0.61 % Refutation found
% 1.78/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.78/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.88/0.64 % Elapsed time: 0.308250 seconds
% 1.88/0.64 % CPU time: 1.878107 seconds
% 1.88/0.64 % Total memory used: 162.258 MB
% 1.88/0.64 % Net memory used: 161.459 MB
%------------------------------------------------------------------------------