%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW470+3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 03:07:55 PM UTC 2026
% Result : Theorem 0.21s 0.59s
% Output : CNFRefutation 0.21s
% 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 : 40 ( 40 usr; 19 con; 0-4 aty)
% Number of variables : 48 ( 46 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,hypothesis,
is_bool(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [Ga] : hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),bot_bo797238721a_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [Ga,G_1,Ts] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(G_1),Ts))
=> ( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),G_1))
=> hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),Ts)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [Ga,Ca,Q_1,Pa] :
( ! [Z_11,S_2] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,Z_11),S_2))
=> hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_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_11)))),bot_bo797238721a_bool))) )
=> hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(Pa,Ca,Q_1)),bot_bo797238721a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1242,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1264,axiom,
! [P,Q] :
( is_bool(P)
=> hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,P),Q) = P ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1287,axiom,
! [P,Q] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,P),Q) = P,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1399,conjecture,
hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_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_bo797238721a_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1400,negated_conjecture,
~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_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_bo797238721a_bool))),
inference(negated_conjecture,[status(cth)],[f1399]) ).
fof(f1423,plain,
is_bool(fFalse),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f1438,plain,
! [X0] : hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),bot_bo797238721a_bool)),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f1445,plain,
! [Ga,G_1,Ts] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),Ts))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),G_1))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(G_1),Ts)) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f1446,plain,
! [G_1,Ts] :
( ! [Ga] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),Ts))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),G_1)) )
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(G_1),Ts)) ),
inference(miniscoping,[status(thm)],[f1445]) ).
fof(f1447,plain,
! [X0,X1,X2] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),X1))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),X0))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),X1)) ),
inference(cnf_transformation,[status(thm)],[f1446]) ).
fof(f1454,plain,
! [Ga,Ca,Q_1,Pa] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(Pa,Ca,Q_1)),bot_bo797238721a_bool)))
| ? [Z_11,S_2] :
( ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_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_11)))),bot_bo797238721a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,Z_11),S_2)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f1455,plain,
! [Ga,Ca,Q_1,Pa] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(Pa,Ca,Q_1)),bot_bo797238721a_bool)))
| ( ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(Ga),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_s1806633685e_bool(hAPP_f817621513e_bool(cOMBC_2027030106e_bool,fequal_state),sK1_skl(Pa,Q_1,Ca,Ga))),Ca,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_a2036067514e_bool(Q_1,sK0_skl(Pa,Q_1,Ca,Ga))))),bot_bo797238721a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(Pa,sK0_skl(Pa,Q_1,Ca,Ga)),sK1_skl(Pa,Q_1,Ca,Ga))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Z_11,sK0_skl(Pa,Q_1,Ca,Ga)),skolemize(S_2,sK1_skl(Pa,Q_1,Ca,Ga))],[f1454]) ).
fof(f1456,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X0,X2,X1)),bot_bo797238721a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK0_skl(X0,X1,X2,X3)),sK1_skl(X0,X1,X2,X3))) ),
inference(cnf_transformation,[status(thm)],[f1455]) ).
fof(f4947,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[status(thm)],[f1242]) ).
fof(f4978,plain,
! [P,Q] :
( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,P),Q) = P
| ~ is_bool(P) ),
inference(pre_NNF_transformation,[status(thm)],[f1264]) ).
fof(f4979,plain,
! [P] :
( ! [Q] : hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,P),Q) = P
| ~ is_bool(P) ),
inference(miniscoping,[status(thm)],[f4978]) ).
fof(f4980,plain,
! [X0,X1] :
( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0
| ~ is_bool(X0) ),
inference(cnf_transformation,[status(thm)],[f4979]) ).
fof(f5003,plain,
! [X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
inference(cnf_transformation,[status(thm)],[f1287]) ).
fof(f5117,plain,
~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_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_bo797238721a_bool))),
inference(cnf_transformation,[status(thm)],[f1400]) ).
fof(f5390,plain,
! [X0] : hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),X0) = fFalse,
inference(resolution,[status(thm)],[f4980,f1423]) ).
fof(f5393,plain,
! [X0] :
( ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),X0))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_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_bo797238721a_bool))) ),
inference(resolution,[status(thm)],[f1447,f5117]) ).
fof(f5405,plain,
~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(bot_bo797238721a_bool),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_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_bo797238721a_bool))),
inference(resolution,[status(thm)],[f5393,f1438]) ).
fof(f5495,plain,
hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),sK0_skl(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_bo797238721a_bool)),sK1_skl(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_bo797238721a_bool))),
inference(resolution,[status(thm)],[f1456,f5405]) ).
fof(f5508,plain,
hBOOL(hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),sK1_skl(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_bo797238721a_bool))),
inference(forward_demodulation,[status(thm)],[f5003,f5495]) ).
fof(f5509,plain,
hBOOL(fFalse),
inference(forward_demodulation,[status(thm)],[f5390,f5508]) ).
fof(f5510,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f5509,f4947]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW470+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n006.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 09:55:42 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.21/0.48 % Drodi V4.1.1
% 0.21/0.59 % Refutation found
% 0.21/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.64 % Elapsed time: 0.266691 seconds
% 0.21/0.64 % CPU time: 0.977614 seconds
% 0.21/0.64 % Total memory used: 239.982 MB
% 0.21/0.64 % Net memory used: 238.791 MB
%------------------------------------------------------------------------------