TSTP Solution File: COM144+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COM144+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 10:47:59 EDT 2024
% Result : Theorem 0.11s 0.36s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of formulae : 101 ( 32 unt; 0 def)
% Number of atoms : 206 ( 90 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 196 ( 91 ~; 44 |; 19 &)
% ( 14 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 162 ( 147 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f634,plain,
$false,
inference(avatar_sat_refutation,[],[f573,f578,f583,f589,f594,f599,f603,f607,f611,f616,f620,f624,f628,f632,f633]) ).
fof(f633,plain,
( spl93_6
| ~ spl93_4
| ~ spl93_8 ),
inference(avatar_split_clause,[],[f612,f605,f586,f596]) ).
fof(f596,plain,
( spl93_6
<=> visSomeExp(vnoExp) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_6])]) ).
fof(f586,plain,
( spl93_4
<=> vnoExp = vsomeExp(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_4])]) ).
fof(f605,plain,
( spl93_8
<=> ! [X0] : visSomeExp(vsomeExp(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_8])]) ).
fof(f612,plain,
( visSomeExp(vnoExp)
| ~ spl93_4
| ~ spl93_8 ),
inference(superposition,[],[f606,f588]) ).
fof(f588,plain,
( vnoExp = vsomeExp(sK17)
| ~ spl93_4 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f606,plain,
( ! [X0] : visSomeExp(vsomeExp(X0))
| ~ spl93_8 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f632,plain,
spl93_14,
inference(avatar_split_clause,[],[f496,f630]) ).
fof(f630,plain,
( spl93_14
<=> ! [X3] : visFreeVar(X3,vvar(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_14])]) ).
fof(f496,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f495]) ).
fof(f495,plain,
! [X3,X0] :
( visFreeVar(X0,vvar(X3))
| X0 != X3 ),
inference(equality_resolution,[],[f494]) ).
fof(f494,plain,
! [X3,X0,X1] :
( visFreeVar(X0,X1)
| vvar(X3) != X1
| X0 != X3 ),
inference(equality_resolution,[],[f418]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( visFreeVar(X0,X1)
| X2 != X3
| vvar(X2) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3] :
( ( ( X2 = X3
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| X2 != X3 ) )
| vvar(X2) != X1
| X0 != X3 ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2,X3] :
( ( ( X2 = X3
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| X2 != X3 ) )
| vvar(X2) != X1
| X0 != X3 ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( ( vvar(X2) = X1
& X0 = X3 )
=> ( ( visFreeVar(X0,X1)
=> X2 = X3 )
& ( X2 = X3
=> visFreeVar(X0,X1) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X3,X8,X13] :
( ( vvar(X8) = X3
& X0 = X13 )
=> ( ( visFreeVar(X0,X3)
=> X8 = X13 )
& ( X8 = X13
=> visFreeVar(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar0) ).
fof(f628,plain,
spl93_13,
inference(avatar_split_clause,[],[f479,f626]) ).
fof(f626,plain,
( spl93_13
<=> ! [X0,X1] : ~ visValue(vapp(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_13])]) ).
fof(f479,plain,
! [X0,X1] : ~ visValue(vapp(X0,X1)),
inference(equality_resolution,[],[f374]) ).
fof(f374,plain,
! [X2,X0,X1] :
( ~ visValue(X2)
| vapp(X0,X1) != X2 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ~ visValue(X2)
| vapp(X0,X1) != X2 ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( vapp(X0,X1) = X2
=> ~ visValue(X2) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X11,X12,X3] :
( vapp(X11,X12) = X3
=> ~ visValue(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isValue2) ).
fof(f624,plain,
spl93_12,
inference(avatar_split_clause,[],[f462,f622]) ).
fof(f622,plain,
( spl93_12
<=> ! [X1] : ~ visFreeVar(vgensym(X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_12])]) ).
fof(f462,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f318]) ).
fof(f318,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X13,X10] :
( vgensym(X10) = X13
=> ~ visFreeVar(X13,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gensym-is-fresh') ).
fof(f620,plain,
spl93_11,
inference(avatar_split_clause,[],[f309,f618]) ).
fof(f618,plain,
( spl93_11
<=> ! [X0] : vnoExp != vsomeExp(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_11])]) ).
fof(f309,plain,
! [X0] : vnoExp != vsomeExp(X0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] : vnoExp != vsomeExp(X0),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X3] : vnoExp != vsomeExp(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noExp-someExp') ).
fof(f616,plain,
spl93_10,
inference(avatar_split_clause,[],[f308,f614]) ).
fof(f614,plain,
( spl93_10
<=> ! [X0] : vnoType != vsomeType(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_10])]) ).
fof(f308,plain,
! [X0] : vnoType != vsomeType(X0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] : vnoType != vsomeType(X0),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X2] : vnoType != vsomeType(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noType-someType') ).
fof(f611,plain,
spl93_9,
inference(avatar_split_clause,[],[f469,f609]) ).
fof(f609,plain,
( spl93_9
<=> ! [X0] : ~ visValue(vvar(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_9])]) ).
fof(f469,plain,
! [X0] : ~ visValue(vvar(X0)),
inference(equality_resolution,[],[f349]) ).
fof(f349,plain,
! [X0,X1] :
( ~ visValue(X1)
| vvar(X0) != X1 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ~ visValue(X1)
| vvar(X0) != X1 ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( vvar(X0) = X1
=> ~ visValue(X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X8,X3] :
( vvar(X8) = X3
=> ~ visValue(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isValue1) ).
fof(f607,plain,
spl93_8,
inference(avatar_split_clause,[],[f464,f605]) ).
fof(f464,plain,
! [X0] : visSomeExp(vsomeExp(X0)),
inference(equality_resolution,[],[f320]) ).
fof(f320,plain,
! [X0,X1] :
( visSomeExp(X1)
| vsomeExp(X0) != X1 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( visSomeExp(X1)
| vsomeExp(X0) != X1 ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( vsomeExp(X0) = X1
=> visSomeExp(X1) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X10,X24] :
( vsomeExp(X10) = X24
=> visSomeExp(X24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isSomeExp1) ).
fof(f603,plain,
spl93_7,
inference(avatar_split_clause,[],[f463,f601]) ).
fof(f601,plain,
( spl93_7
<=> ! [X0] : visSomeType(vsomeType(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_7])]) ).
fof(f463,plain,
! [X0] : visSomeType(vsomeType(X0)),
inference(equality_resolution,[],[f319]) ).
fof(f319,plain,
! [X0,X1] :
( visSomeType(X1)
| vsomeType(X0) != X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( visSomeType(X1)
| vsomeType(X0) != X1 ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( vsomeType(X0) = X1
=> visSomeType(X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X10,X17] :
( vsomeType(X10) = X17
=> visSomeType(X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isSomeType1) ).
fof(f599,plain,
~ spl93_6,
inference(avatar_split_clause,[],[f458,f596]) ).
fof(f458,plain,
~ visSomeExp(vnoExp),
inference(equality_resolution,[],[f311]) ).
fof(f311,plain,
! [X0] :
( ~ visSomeExp(X0)
| vnoExp != X0 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ~ visSomeExp(X0)
| vnoExp != X0 ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( vnoExp = X0
=> ~ visSomeExp(X0) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X24] :
( vnoExp = X24
=> ~ visSomeExp(X24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isSomeExp0) ).
fof(f594,plain,
~ spl93_5,
inference(avatar_split_clause,[],[f457,f591]) ).
fof(f591,plain,
( spl93_5
<=> visSomeType(vnoType) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_5])]) ).
fof(f457,plain,
~ visSomeType(vnoType),
inference(equality_resolution,[],[f310]) ).
fof(f310,plain,
! [X0] :
( ~ visSomeType(X0)
| vnoType != X0 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ~ visSomeType(X0)
| vnoType != X0 ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( vnoType = X0
=> ~ visSomeType(X0) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X17] :
( vnoType = X17
=> ~ visSomeType(X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isSomeType0) ).
fof(f589,plain,
( spl93_4
| ~ spl93_3 ),
inference(avatar_split_clause,[],[f584,f580,f586]) ).
fof(f580,plain,
( spl93_3
<=> vsomeExp(sK17) = vreduce(vabs(sK14,sK15,ve1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_3])]) ).
fof(f584,plain,
( vnoExp = vsomeExp(sK17)
| ~ spl93_3 ),
inference(forward_demodulation,[],[f582,f498]) ).
fof(f498,plain,
! [X2,X0,X1] : vnoExp = vreduce(vabs(X0,X1,X2)),
inference(equality_resolution,[],[f497]) ).
fof(f497,plain,
! [X2,X3,X0,X1] :
( vnoExp = vreduce(X3)
| vabs(X0,X1,X2) != X3 ),
inference(equality_resolution,[],[f421]) ).
fof(f421,plain,
! [X2,X3,X0,X1,X4] :
( vnoExp = X4
| vreduce(X3) != X4
| vabs(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( vnoExp = X4
| vreduce(X3) != X4
| vabs(X0,X1,X2) != X3 ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( vnoExp = X4
| vreduce(X3) != X4
| vabs(X0,X1,X2) != X3 ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4] :
( vabs(X0,X1,X2) = X3
=> ( vreduce(X3) = X4
=> vnoExp = X4 ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X8,X9,X10,X3,X18] :
( vabs(X8,X9,X10) = X3
=> ( vreduce(X3) = X18
=> vnoExp = X18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduce1) ).
fof(f582,plain,
( vsomeExp(sK17) = vreduce(vabs(sK14,sK15,ve1))
| ~ spl93_3 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f583,plain,
spl93_3,
inference(avatar_split_clause,[],[f302,f580]) ).
fof(f302,plain,
vsomeExp(sK17) = vreduce(vabs(sK14,sK15,ve1)),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( ~ vtcheck(sK16,sK17,sK18)
& vtcheck(sK16,vabs(sK14,sK15,ve1),sK18)
& vsomeExp(sK17) = vreduce(vabs(sK14,sK15,ve1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18])],[f121,f227]) ).
fof(f227,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,X3,X4)
& vtcheck(X2,vabs(X0,X1,ve1),X4)
& vsomeExp(X3) = vreduce(vabs(X0,X1,ve1)) )
=> ( ~ vtcheck(sK16,sK17,sK18)
& vtcheck(sK16,vabs(sK14,sK15,ve1),sK18)
& vsomeExp(sK17) = vreduce(vabs(sK14,sK15,ve1)) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,X3,X4)
& vtcheck(X2,vabs(X0,X1,ve1),X4)
& vsomeExp(X3) = vreduce(vabs(X0,X1,ve1)) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,X3,X4)
& vtcheck(X2,vabs(X0,X1,ve1),X4)
& vsomeExp(X3) = vreduce(vabs(X0,X1,ve1)) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( vtcheck(X2,vabs(X0,X1,ve1),X4)
& vsomeExp(X3) = vreduce(vabs(X0,X1,ve1)) )
=> vtcheck(X2,X3,X4) ),
inference(rectify,[],[f61]) ).
fof(f61,negated_conjecture,
~ ! [X8,X9,X19,X34,X14] :
( ( vtcheck(X19,vabs(X8,X9,ve1),X14)
& vsomeExp(X34) = vreduce(vabs(X8,X9,ve1)) )
=> vtcheck(X19,X34,X14) ),
inference(negated_conjecture,[],[f60]) ).
fof(f60,conjecture,
! [X8,X9,X19,X34,X14] :
( ( vtcheck(X19,vabs(X8,X9,ve1),X14)
& vsomeExp(X34) = vreduce(vabs(X8,X9,ve1)) )
=> vtcheck(X19,X34,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Preservation-T-abs') ).
fof(f578,plain,
spl93_2,
inference(avatar_split_clause,[],[f303,f575]) ).
fof(f575,plain,
( spl93_2
<=> vtcheck(sK16,vabs(sK14,sK15,ve1),sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_2])]) ).
fof(f303,plain,
vtcheck(sK16,vabs(sK14,sK15,ve1),sK18),
inference(cnf_transformation,[],[f228]) ).
fof(f573,plain,
~ spl93_1,
inference(avatar_split_clause,[],[f304,f570]) ).
fof(f570,plain,
( spl93_1
<=> vtcheck(sK16,sK17,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_1])]) ).
fof(f304,plain,
~ vtcheck(sK16,sK17,sK18),
inference(cnf_transformation,[],[f228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM144+1 : TPTP v8.1.2. Released v6.4.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 05:03:04 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (7428)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (7431)WARNING: value z3 for option sas not known
% 0.11/0.34 % (7430)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (7429)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (7432)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (7434)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34 % (7431)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (7433)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34 % (7435)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.35 % (7433)First to succeed.
% 0.11/0.35 % (7431)Also succeeded, but the first one will report.
% 0.11/0.35 % (7434)Also succeeded, but the first one will report.
% 0.11/0.36 % (7433)Refutation found. Thanks to Tanya!
% 0.11/0.36 % SZS status Theorem for theBenchmark
% 0.11/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.36 % (7433)------------------------------
% 0.11/0.36 % (7433)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.36 % (7433)Termination reason: Refutation
% 0.11/0.36
% 0.11/0.36 % (7433)Memory used [KB]: 1181
% 0.11/0.36 % (7433)Time elapsed: 0.011 s
% 0.11/0.36 % (7433)Instructions burned: 19 (million)
% 0.11/0.36 % (7433)------------------------------
% 0.11/0.36 % (7433)------------------------------
% 0.11/0.36 % (7428)Success in time 0.025 s
%------------------------------------------------------------------------------