TSTP Solution File: SWW470+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW470+1 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n032.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 : Mon Jun 24 18:32:39 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of formulae : 120 ( 49 unt; 0 def)
% Number of atoms : 222 ( 77 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 159 ( 57 ~; 76 |; 8 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 31 con; 0-4 aty)
% Number of variables : 113 ( 106 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1666,plain,
$false,
inference(avatar_sat_refutation,[],[f752,f1239,f1586,f1592,f1665]) ).
fof(f1665,plain,
( spl64_2
| spl64_6 ),
inference(avatar_contradiction_clause,[],[f1664]) ).
fof(f1664,plain,
( $false
| spl64_2
| spl64_6 ),
inference(subsumption_resolution,[],[f1613,f843]) ).
fof(f843,plain,
( bot_bot_bool != sF63
| spl64_6 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f842,plain,
( spl64_6
<=> bot_bot_bool = sF63 ),
introduced(avatar_definition,[new_symbols(naming,[spl64_6])]) ).
fof(f1613,plain,
( bot_bot_bool = sF63
| spl64_2 ),
inference(subsumption_resolution,[],[f1611,f719]) ).
fof(f719,plain,
~ hBOOL(sF63),
inference(definition_folding,[],[f451,f718,f717,f716,f715,f714,f713,f712,f711,f710,f709,f708,f707,f706,f705,f704,f703]) ).
fof(f703,plain,
hoare_472868247rivs_a(g) = sF48,
introduced(function_definition,[new_symbols(definition,[sF48])]) ).
fof(f704,plain,
cOMBK_bool_state(fFalse) = sF49,
introduced(function_definition,[new_symbols(definition,[sF49])]) ).
fof(f705,plain,
cOMBK_1458035955bool_a(sF49) = sF50,
introduced(function_definition,[new_symbols(definition,[sF50])]) ).
fof(f706,plain,
cOMBB_145932198bool_a(cOMBS_1378840469l_bool) = sF51,
introduced(function_definition,[new_symbols(definition,[sF51])]) ).
fof(f707,plain,
cOMBB_188601460_state(fconj) = sF52,
introduced(function_definition,[new_symbols(definition,[sF52])]) ).
fof(f708,plain,
cOMBB_1355796797bool_a(sF52) = sF53,
introduced(function_definition,[new_symbols(definition,[sF53])]) ).
fof(f709,plain,
hAPP_f1509969235l_bool(sF53,p) = sF54,
introduced(function_definition,[new_symbols(definition,[sF54])]) ).
fof(f710,plain,
hAPP_f963367678e_bool(sF51,sF54) = sF55,
introduced(function_definition,[new_symbols(definition,[sF55])]) ).
fof(f711,plain,
hAPP_f1261923407e_bool(cOMBC_892787026e_bool,sF55) = sF56,
introduced(function_definition,[new_symbols(definition,[sF56])]) ).
fof(f712,plain,
cOMBB_160679318_state(fNot) = sF57,
introduced(function_definition,[new_symbols(definition,[sF57])]) ).
fof(f713,plain,
hAPP_f1759915619e_bool(sF57,b) = sF58,
introduced(function_definition,[new_symbols(definition,[sF58])]) ).
fof(f714,plain,
hAPP_f762886889e_bool(sF56,sF58) = sF59,
introduced(function_definition,[new_symbols(definition,[sF59])]) ).
fof(f715,plain,
hoare_1050552211iple_a(sF50,c,sF59) = sF60,
introduced(function_definition,[new_symbols(definition,[sF60])]) ).
fof(f716,plain,
hAPP_H1816261935a_bool(insert1871499715iple_a,sF60) = sF61,
introduced(function_definition,[new_symbols(definition,[sF61])]) ).
fof(f717,plain,
hAPP_f1400872321a_bool(sF61,bot_bo1687970473a_bool) = sF62,
introduced(function_definition,[new_symbols(definition,[sF62])]) ).
fof(f718,plain,
hAPP_f1753944735l_bool(sF48,sF62) = sF63,
introduced(function_definition,[new_symbols(definition,[sF63])]) ).
fof(f451,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,[],[f146]) ).
fof(f146,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(flattening,[],[f145]) ).
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,[],[f144]) ).
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',unknown) ).
fof(f1611,plain,
( bot_bot_bool = sF63
| hBOOL(sF63)
| spl64_2 ),
inference(resolution,[],[f725,f1238]) ).
fof(f1238,plain,
( ! [X0] :
( ~ is_bool(X0)
| bot_bot_bool = X0
| hBOOL(X0) )
| spl64_2 ),
inference(backward_demodulation,[],[f1180,f1195]) ).
fof(f1195,plain,
( bot_bot_bool = fFalse
| spl64_2 ),
inference(subsumption_resolution,[],[f1185,f732]) ).
fof(f732,plain,
( ~ hBOOL(bot_bot_bool)
| spl64_2 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f731,plain,
( spl64_2
<=> hBOOL(bot_bot_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl64_2])]) ).
fof(f1185,plain,
( bot_bot_bool = fFalse
| hBOOL(bot_bot_bool) ),
inference(resolution,[],[f1180,f456]) ).
fof(f456,plain,
is_bool(bot_bot_bool),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
is_bool(bot_bot_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1180,plain,
! [X0] :
( ~ is_bool(X0)
| fFalse = X0
| hBOOL(X0) ),
inference(forward_demodulation,[],[f1179,f770]) ).
fof(f770,plain,
! [X0] : fFalse = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0),
inference(subsumption_resolution,[],[f768,f452]) ).
fof(f452,plain,
is_bool(fFalse),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
is_bool(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f768,plain,
! [X0] :
( fFalse = hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)
| ~ is_bool(fFalse) ),
inference(superposition,[],[f537,f721]) ).
fof(f721,plain,
bot_bo1687970473a_bool = cOMBK_1150238960iple_a(fFalse),
inference(superposition,[],[f458,f459]) ).
fof(f459,plain,
! [X0] : collec1266446174iple_a(X0) = X0,
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] : collec1266446174iple_a(X0) = X0,
inference(rectify,[],[f84]) ).
fof(f84,axiom,
! [X12] : collec1266446174iple_a(X12) = X12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f458,plain,
bot_bo1687970473a_bool = collec1266446174iple_a(cOMBK_1150238960iple_a(fFalse)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
bot_bo1687970473a_bool = collec1266446174iple_a(cOMBK_1150238960iple_a(fFalse)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f537,plain,
! [X0,X1] :
( hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(X0),X1) = X0
| ~ is_bool(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
! [X0,X1] :
( hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(X0),X1) = X0
| ~ is_bool(X0) ),
inference(ennf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1] :
( is_bool(X0)
=> hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(X0),X1) = X0 ),
inference(rectify,[],[f129]) ).
fof(f129,axiom,
! [X56,X57] :
( is_bool(X56)
=> hAPP_H1927961489a_bool(cOMBK_1150238960iple_a(X56),X57) = X56 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1179,plain,
! [X0,X1] :
( hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X1) = X0
| ~ is_bool(X0)
| hBOOL(X0) ),
inference(duplicate_literal_removal,[],[f1178]) ).
fof(f1178,plain,
! [X0,X1] :
( hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X1) = X0
| ~ is_bool(X0)
| hBOOL(X0)
| ~ is_bool(X0) ),
inference(superposition,[],[f537,f787]) ).
fof(f787,plain,
! [X0] :
( bot_bo1687970473a_bool = cOMBK_1150238960iple_a(X0)
| hBOOL(X0)
| ~ is_bool(X0) ),
inference(superposition,[],[f784,f537]) ).
fof(f784,plain,
! [X0] :
( hBOOL(hAPP_H1927961489a_bool(X0,sK5(X0)))
| bot_bo1687970473a_bool = X0 ),
inference(forward_demodulation,[],[f479,f459]) ).
fof(f479,plain,
! [X0] :
( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
| hBOOL(hAPP_H1927961489a_bool(X0,sK5(X0))) ),
inference(cnf_transformation,[],[f365]) ).
fof(f365,plain,
! [X0] :
( ( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
| hBOOL(hAPP_H1927961489a_bool(X0,sK5(X0))) )
& ( ! [X2] : ~ hBOOL(hAPP_H1927961489a_bool(X0,X2))
| bot_bo1687970473a_bool != collec1266446174iple_a(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f363,f364]) ).
fof(f364,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_H1927961489a_bool(X0,X1))
=> hBOOL(hAPP_H1927961489a_bool(X0,sK5(X0))) ),
introduced(choice_axiom,[]) ).
fof(f363,plain,
! [X0] :
( ( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
| ? [X1] : hBOOL(hAPP_H1927961489a_bool(X0,X1)) )
& ( ! [X2] : ~ hBOOL(hAPP_H1927961489a_bool(X0,X2))
| bot_bo1687970473a_bool != collec1266446174iple_a(X0) ) ),
inference(rectify,[],[f362]) ).
fof(f362,plain,
! [X0] :
( ( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
| ? [X1] : hBOOL(hAPP_H1927961489a_bool(X0,X1)) )
& ( ! [X1] : ~ hBOOL(hAPP_H1927961489a_bool(X0,X1))
| bot_bo1687970473a_bool != collec1266446174iple_a(X0) ) ),
inference(nnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( bot_bo1687970473a_bool = collec1266446174iple_a(X0)
<=> ! [X1] : ~ hBOOL(hAPP_H1927961489a_bool(X0,X1)) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X12] :
( bot_bo1687970473a_bool = collec1266446174iple_a(X12)
<=> ! [X26] : ~ hBOOL(hAPP_H1927961489a_bool(X12,X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f725,plain,
is_bool(sF63),
inference(superposition,[],[f453,f718]) ).
fof(f453,plain,
! [X0,X1] : is_bool(hAPP_f1753944735l_bool(X0,X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : is_bool(hAPP_f1753944735l_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1592,plain,
( ~ spl64_3
| spl64_5
| ~ spl64_6 ),
inference(avatar_contradiction_clause,[],[f1591]) ).
fof(f1591,plain,
( $false
| ~ spl64_3
| spl64_5
| ~ spl64_6 ),
inference(subsumption_resolution,[],[f1590,f757]) ).
fof(f757,plain,
( bot_bot_bool = fFalse
| ~ spl64_3 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f755,plain,
( spl64_3
<=> bot_bot_bool = fFalse ),
introduced(avatar_definition,[new_symbols(naming,[spl64_3])]) ).
fof(f1590,plain,
( bot_bot_bool != fFalse
| spl64_5
| ~ spl64_6 ),
inference(forward_demodulation,[],[f839,f844]) ).
fof(f844,plain,
( bot_bot_bool = sF63
| ~ spl64_6 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f839,plain,
( fFalse != sF63
| spl64_5 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f838,plain,
( spl64_5
<=> fFalse = sF63 ),
introduced(avatar_definition,[new_symbols(naming,[spl64_5])]) ).
fof(f1586,plain,
( spl64_2
| ~ spl64_5 ),
inference(avatar_contradiction_clause,[],[f1585]) ).
fof(f1585,plain,
( $false
| spl64_2
| ~ spl64_5 ),
inference(subsumption_resolution,[],[f1584,f732]) ).
fof(f1584,plain,
( hBOOL(bot_bot_bool)
| spl64_2
| ~ spl64_5 ),
inference(forward_demodulation,[],[f1583,f1236]) ).
fof(f1236,plain,
( bot_bot_bool = hAPP_f1753944735l_bool(sF48,sF62)
| spl64_2
| ~ spl64_5 ),
inference(backward_demodulation,[],[f849,f1195]) ).
fof(f849,plain,
( fFalse = hAPP_f1753944735l_bool(sF48,sF62)
| ~ spl64_5 ),
inference(backward_demodulation,[],[f718,f840]) ).
fof(f840,plain,
( fFalse = sF63
| ~ spl64_5 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f1583,plain,
( hBOOL(hAPP_f1753944735l_bool(sF48,sF62))
| spl64_2 ),
inference(superposition,[],[f1573,f703]) ).
fof(f1573,plain,
( ! [X0] : hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),sF62))
| spl64_2 ),
inference(subsumption_resolution,[],[f1572,f732]) ).
fof(f1572,plain,
( ! [X0] :
( hBOOL(bot_bot_bool)
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),sF62)) )
| spl64_2 ),
inference(forward_demodulation,[],[f1571,f1233]) ).
fof(f1233,plain,
( ! [X0] : bot_bot_bool = hAPP_state_bool(sF49,X0)
| spl64_2 ),
inference(backward_demodulation,[],[f767,f1195]) ).
fof(f767,plain,
! [X0] : fFalse = hAPP_state_bool(sF49,X0),
inference(subsumption_resolution,[],[f765,f452]) ).
fof(f765,plain,
! [X0] :
( fFalse = hAPP_state_bool(sF49,X0)
| ~ is_bool(fFalse) ),
inference(superposition,[],[f536,f704]) ).
fof(f536,plain,
! [X0,X1] :
( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0
| ~ is_bool(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0,X1] :
( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0
| ~ is_bool(X0) ),
inference(ennf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( is_bool(X0)
=> hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 ),
inference(rectify,[],[f120]) ).
fof(f120,axiom,
! [X56,X57] :
( is_bool(X56)
=> hAPP_state_bool(cOMBK_bool_state(X56),X57) = X56 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1571,plain,
! [X0] :
( hBOOL(hAPP_state_bool(sF49,sK34(X0,c,sF59,sF50)))
| hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),sF62)) ),
inference(forward_demodulation,[],[f1570,f736]) ).
fof(f736,plain,
! [X0] : sF49 = hAPP_a2036067514e_bool(sF50,X0),
inference(superposition,[],[f504,f705]) ).
fof(f504,plain,
! [X0,X1] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0,
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0,
inference(rectify,[],[f121]) ).
fof(f121,axiom,
! [X56,X57] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X56),X57) = X56,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1570,plain,
! [X0] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),sF62))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(sF50,sK33(X0,c,sF59,sF50)),sK34(X0,c,sF59,sF50))) ),
inference(forward_demodulation,[],[f1568,f805]) ).
fof(f805,plain,
sF62 = hAPP_H562195827a_bool(fequal1878252616iple_a,sF60),
inference(forward_demodulation,[],[f802,f717]) ).
fof(f802,plain,
hAPP_f1400872321a_bool(sF61,bot_bo1687970473a_bool) = hAPP_H562195827a_bool(fequal1878252616iple_a,sF60),
inference(superposition,[],[f800,f716]) ).
fof(f800,plain,
! [X0] : hAPP_H562195827a_bool(fequal1878252616iple_a,X0) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool),
inference(forward_demodulation,[],[f466,f459]) ).
fof(f466,plain,
! [X0] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) = collec1266446174iple_a(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] : hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X0),bot_bo1687970473a_bool) = collec1266446174iple_a(hAPP_H562195827a_bool(fequal1878252616iple_a,X0)),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X22] : collec1266446174iple_a(hAPP_H562195827a_bool(fequal1878252616iple_a,X22)) = hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,X22),bot_bo1687970473a_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1568,plain,
! [X0] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,sF60)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(sF50,sK33(X0,c,sF59,sF50)),sK34(X0,c,sF59,sF50))) ),
inference(superposition,[],[f1559,f715]) ).
fof(f1559,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_H562195827a_bool(fequal1878252616iple_a,hoare_1050552211iple_a(X3,X1,X2))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK33(X0,X1,X2,X3)),sK34(X0,X1,X2,X3))) ),
inference(forward_demodulation,[],[f630,f800]) ).
fof(f630,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X1,X2)),bot_bo1687970473a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK33(X0,X1,X2,X3)),sK34(X0,X1,X2,X3))) ),
inference(cnf_transformation,[],[f428]) ).
fof(f428,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X1,X2)),bot_bo1687970473a_bool)))
| ( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),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),sK34(X0,X1,X2,X3))),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,sK33(X0,X1,X2,X3))))),bot_bo1687970473a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK33(X0,X1,X2,X3)),sK34(X0,X1,X2,X3))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34])],[f339,f427]) ).
fof(f427,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),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),X5)),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,X4)))),bot_bo1687970473a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) )
=> ( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),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),sK34(X0,X1,X2,X3))),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,sK33(X0,X1,X2,X3))))),bot_bo1687970473a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK33(X0,X1,X2,X3)),sK34(X0,X1,X2,X3))) ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X1,X2)),bot_bo1687970473a_bool)))
| ? [X4,X5] :
( ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),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),X5)),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,X4)))),bot_bo1687970473a_bool)))
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) ) ),
inference(ennf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),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),X5)),X1,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X2,X4)))),bot_bo1687970473a_bool))) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X0),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X3,X1,X2)),bot_bo1687970473a_bool))) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X2,X13,X14,X12] :
( ! [X16,X17] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X12,X16),X17))
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),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),X17)),X13,cOMBK_1458035955bool_a(hAPP_a2036067514e_bool(X14,X16)))),bot_bo1687970473a_bool))) )
=> hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X2),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X12,X13,X14)),bot_bo1687970473a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1239,plain,
( spl64_3
| spl64_2 ),
inference(avatar_split_clause,[],[f1195,f731,f755]) ).
fof(f752,plain,
~ spl64_2,
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f751,plain,
( $false
| ~ spl64_2 ),
inference(subsumption_resolution,[],[f750,f735]) ).
fof(f735,plain,
( ! [X0] : hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0))
| ~ spl64_2 ),
inference(subsumption_resolution,[],[f483,f733]) ).
fof(f733,plain,
( hBOOL(bot_bot_bool)
| ~ spl64_2 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f483,plain,
! [X0] :
( hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0))
| ~ hBOOL(bot_bot_bool) ),
inference(cnf_transformation,[],[f370]) ).
fof(f370,plain,
! [X0] :
( ( hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0))
| ~ hBOOL(bot_bot_bool) )
& ( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)) ) ),
inference(nnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0))
<=> hBOOL(bot_bot_bool) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X27] :
( hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X27))
<=> hBOOL(bot_bot_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f750,plain,
! [X0] : ~ hBOOL(hAPP_H1927961489a_bool(bot_bo1687970473a_bool,X0)),
inference(equality_resolution,[],[f749]) ).
fof(f749,plain,
! [X2,X0] :
( bot_bo1687970473a_bool != X0
| ~ hBOOL(hAPP_H1927961489a_bool(X0,X2)) ),
inference(forward_demodulation,[],[f478,f459]) ).
fof(f478,plain,
! [X2,X0] :
( ~ hBOOL(hAPP_H1927961489a_bool(X0,X2))
| bot_bo1687970473a_bool != collec1266446174iple_a(X0) ),
inference(cnf_transformation,[],[f365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SWW470+1 : TPTP v8.2.0. Released v5.3.0.
% 0.02/0.08 % Command : run_vampire %s %d THM
% 0.07/0.28 % Computer : n032.cluster.edu
% 0.07/0.28 % Model : x86_64 x86_64
% 0.07/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.28 % Memory : 8042.1875MB
% 0.07/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.28 % CPULimit : 300
% 0.07/0.28 % WCLimit : 300
% 0.07/0.28 % DateTime : Wed Jun 19 06:17:39 EDT 2024
% 0.07/0.28 % CPUTime :
% 0.07/0.30 This is a FOF_THM_RFO_SEQ problem
% 0.07/0.30 Running first-order theorem proving
% 0.07/0.30 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % (613)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.34 % (623)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.14/0.34 % (613)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.34 % (627)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.14/0.34 % (613)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.34 % (629)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.14/0.35 % (613)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.35 % (628)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.14/0.36 % (613)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (625)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.14/0.36 % (613)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (624)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.14/0.36 % (613)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (626)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.14/0.38 % (627)First to succeed.
% 0.14/0.38 % (627)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-613"
% 0.14/0.38 % (613)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (627)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (627)------------------------------
% 0.14/0.38 % (627)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.14/0.38 % (627)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.14/0.38 % (627)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (627)Memory used [KB]: 2182
% 0.14/0.38 % (627)Time elapsed: 0.037 s
% 0.14/0.38 % (627)Instructions burned: 95 (million)
% 0.14/0.38 % (627)------------------------------
% 0.14/0.38 % (627)------------------------------
% 0.14/0.38 % (613)Success in time 0.071 s
%------------------------------------------------------------------------------