TSTP Solution File: SWW470+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW470+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 1.93s 0.59s
% Output : CNFRefutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 17 unt; 0 def)
% Number of atoms : 50 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 18 ~; 13 |; 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 : 35 ( 35 usr; 13 con; 0-4 aty)
% Number of variables : 48 ( 46 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,hypothesis,
is_bool(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Ga] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga),bot_bo1687970473a_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [Ga,G_1,Ts] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(G_1),Ts))
=> ( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga),G_1))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga),Ts)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Ga,Ca,Q_1,Pa] :
( ! [Z_1,S] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,Z_1),S))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),S)),Ca,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(Q_1,Z_1)))),bot_bo1687970473a_bool))) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(Pa,Ca,Q_1)),bot_bo1687970473a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f120,axiom,
! [P,Q] :
( is_bool(P)
=> hAPP_state_bool(cOMBK_bool_state(P),Q) = P ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f121,axiom,
! [P,Q] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(P),Q) = P,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f144,conjecture,
hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f145,negated_conjecture,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
inference(negated_conjecture,[status(cth)],[f144]) ).
fof(f149,plain,
is_bool(fFalse),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f157,plain,
! [X0] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),bot_bo1687970473a_bool)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f164,plain,
! [Ga,G_1,Ts] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(G_1),Ts))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga),G_1))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga),Ts)) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f165,plain,
! [G_1,Ts] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(G_1),Ts))
| ! [Ga] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga),G_1))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga),Ts)) ) ),
inference(miniscoping,[status(esa)],[f164]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),X1))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),X0))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),X1)) ),
inference(cnf_transformation,[status(esa)],[f165]) ).
fof(f173,plain,
! [Ga,Ca,Q_1,Pa] :
( ? [Z_1,S] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,Z_1),S))
& ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),S)),Ca,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(Q_1,Z_1)))),bot_bo1687970473a_bool))) )
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(Pa,Ca,Q_1)),bot_bo1687970473a_bool))) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f174,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_f1753944735l_bool(hoare_472868247rivs_a(Ga),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sk0_1(Pa,Q_1,Ca,Ga))),Ca,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(Q_1,sk0_0(Pa,Q_1,Ca,Ga))))),bot_bo1687970473a_bool))) )
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(Ga),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(Pa,Ca,Q_1)),bot_bo1687970473a_bool))) ),
inference(skolemization,[status(esa)],[f173]) ).
fof(f175,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_f1753944735l_bool(hoare_472868247rivs_a(X3),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X0,X2,X1)),bot_bo1687970473a_bool))) ),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f483,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f494,plain,
! [P,Q] :
( ~ is_bool(P)
| hAPP_state_bool(cOMBK_bool_state(P),Q) = P ),
inference(pre_NNF_transformation,[status(esa)],[f120]) ).
fof(f495,plain,
! [P] :
( ~ is_bool(P)
| ! [Q] : hAPP_state_bool(cOMBK_bool_state(P),Q) = P ),
inference(miniscoping,[status(esa)],[f494]) ).
fof(f496,plain,
! [X0,X1] :
( ~ is_bool(X0)
| hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 ),
inference(cnf_transformation,[status(esa)],[f495]) ).
fof(f497,plain,
! [X0,X1] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0,
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f522,plain,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f1099,plain,
! [X0] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool)))
| ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),X0)) ),
inference(resolution,[status(thm)],[f166,f522]) ).
fof(f1105,plain,
~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(bot_bo1687970473a_bool),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
inference(resolution,[status(thm)],[f1099,f157]) ).
fof(f1300,plain,
! [X0] : hAPP_state_bool(cOMBK_bool_state(fFalse),X0) = fFalse,
inference(resolution,[status(thm)],[f496,f149]) ).
fof(f1739,plain,
hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),sk0_0(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)),c,bot_bo1687970473a_bool)),sk0_1(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)),c,bot_bo1687970473a_bool))),
inference(resolution,[status(thm)],[f175,f1105]) ).
fof(f1740,plain,
hBOOL(hAPP_state_bool(cOMBK_bool_state(fFalse),sk0_1(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)),c,bot_bo1687970473a_bool))),
inference(forward_demodulation,[status(thm)],[f497,f1739]) ).
fof(f1741,plain,
hBOOL(fFalse),
inference(forward_demodulation,[status(thm)],[f1300,f1740]) ).
fof(f1742,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1741,f483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWW470+1 : TPTP v8.1.2. Released v5.3.0.
% 0.08/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.27 % Computer : n029.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Mon Apr 29 23:26:34 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.28 % Drodi V3.6.0
% 1.93/0.59 % Refutation found
% 1.93/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.93/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.93/0.62 % Elapsed time: 0.330360 seconds
% 1.93/0.62 % CPU time: 2.483067 seconds
% 1.93/0.62 % Total memory used: 104.269 MB
% 1.93/0.62 % Net memory used: 103.215 MB
%------------------------------------------------------------------------------