%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW470+2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 03:07:54 PM UTC 2026
% Result : Theorem 0.21s 0.55s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 34 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 7 |; 2 &)
% ( 0 <=>; 3 =>; 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 : 37 ( 35 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,hypothesis,
is_bool(fFalse),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f737,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f755,axiom,
! [P,Q] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,P),Q) = P,
file('/export/starexec/sandbox2/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/sandbox2/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(thm)],[f18]) ).
fof(f896,plain,
! [Ga,Ca,Q_1,Pa] :
( 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)))
| ? [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_state_bool(hAPP_a2036067514e_bool(Pa,Z_7),S_2)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f39]) ).
fof(f897,plain,
! [Ga,Ca,Q_1,Pa] :
( 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)))
| ( ~ 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),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_bo1181479936a_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_7,sK0_skl(Pa,Q_1,Ca,Ga)),skolemize(S_2,sK1_skl(Pa,Q_1,Ca,Ga))],[f896]) ).
fof(f898,plain,
! [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)))
| 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)],[f897]) ).
fof(f2982,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[status(thm)],[f737]) ).
fof(f3000,plain,
! [P,Q] :
( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,P),Q) = P
| ~ is_bool(P) ),
inference(pre_NNF_transformation,[status(thm)],[f749]) ).
fof(f3001,plain,
! [P] :
( ! [Q] : hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,P),Q) = P
| ~ is_bool(P) ),
inference(miniscoping,[status(thm)],[f3000]) ).
fof(f3002,plain,
! [X0,X1] :
( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0
| ~ is_bool(X0) ),
inference(cnf_transformation,[status(thm)],[f3001]) ).
fof(f3008,plain,
! [X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
inference(cnf_transformation,[status(thm)],[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(thm)],[f831]) ).
fof(f3358,plain,
! [X0] : hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),X0) = fFalse,
inference(resolution,[status(thm)],[f3002,f851]) ).
fof(f3568,plain,
! [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)))
| hBOOL(hAPP_state_bool(X0,sK1_skl(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1,X2,X3))) ),
inference(paramodulation,[status(thm)],[f3008,f898]) ).
fof(f3775,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,g))),
inference(resolution,[status(thm)],[f3568,f3089]) ).
fof(f3810,plain,
hBOOL(fFalse),
inference(forward_demodulation,[status(thm)],[f3358,f3775]) ).
fof(f3811,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3810,f2982]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW470+2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 09:58:00 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.44 % Drodi V4.1.1
% 0.21/0.55 % Refutation found
% 0.21/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.58 % Elapsed time: 0.207389 seconds
% 0.21/0.58 % CPU time: 0.867035 seconds
% 0.21/0.58 % Total memory used: 191.226 MB
% 0.21/0.58 % Net memory used: 190.288 MB
%------------------------------------------------------------------------------