%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW470+1 : 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 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 33 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 6 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 33 ( 31 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,hypothesis,
is_bool(fFalse),
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(thm)],[f4]) ).
fof(f173,plain,
! [Ga,Ca,Q_1,Pa] :
( 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)))
| ? [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_state_bool(hAPP_a2036067514e_bool(Pa,Z_1),S)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f174,plain,
! [Ga,Ca,Q_1,Pa] :
( 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)))
| ( ~ 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),sK1_skl(Pa,Q_1,Ca,Ga))),Ca,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(Q_1,sK0_skl(Pa,Q_1,Ca,Ga))))),bot_bo1687970473a_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_1,sK0_skl(Pa,Q_1,Ca,Ga)),skolemize(S,sK1_skl(Pa,Q_1,Ca,Ga))],[f173]) ).
fof(f175,plain,
! [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)))
| 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)],[f174]) ).
fof(f483,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f494,plain,
! [P,Q] :
( hAPP_state_bool(cOMBK_bool_state(P),Q) = P
| ~ is_bool(P) ),
inference(pre_NNF_transformation,[status(thm)],[f120]) ).
fof(f495,plain,
! [P] :
( ! [Q] : hAPP_state_bool(cOMBK_bool_state(P),Q) = P
| ~ is_bool(P) ),
inference(miniscoping,[status(thm)],[f494]) ).
fof(f496,plain,
! [X0,X1] :
( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0
| ~ is_bool(X0) ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f497,plain,
! [X0,X1] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0,
inference(cnf_transformation,[status(thm)],[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(thm)],[f145]) ).
fof(f573,plain,
! [X0] : hAPP_state_bool(cOMBK_bool_state(fFalse),X0) = fFalse,
inference(resolution,[status(thm)],[f496,f149]) ).
fof(f589,plain,
hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),sK0_skl(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,g)),sK1_skl(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,g))),
inference(resolution,[status(thm)],[f175,f522]) ).
fof(f593,plain,
hBOOL(hAPP_state_bool(cOMBK_bool_state(fFalse),sK1_skl(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,g))),
inference(forward_demodulation,[status(thm)],[f497,f589]) ).
fof(f594,plain,
hBOOL(fFalse),
inference(forward_demodulation,[status(thm)],[f573,f593]) ).
fof(f595,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f594,f483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW470+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.40 % Computer : n018.cluster.edu
% 0.16/0.40 % Model : x86_64 x86_64
% 0.16/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40 % Memory : 8046.5625MB
% 0.16/0.40 % OS : Linux 6.8.0-71-generic
% 0.16/0.40 % CPULimit : 300
% 0.16/0.40 % WCLimit : 300
% 0.16/0.40 % DateTime : Mon Sep 21 09:57:43 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.46 % Refutation found
% 0.18/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.54 % Elapsed time: 0.121551 seconds
% 0.18/0.54 % CPU time: 0.202299 seconds
% 0.18/0.54 % Total memory used: 30.089 MB
% 0.18/0.54 % Net memory used: 29.996 MB
%------------------------------------------------------------------------------