TSTP Solution File: KRS109+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS109+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n018.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 : Wed Aug 31 17:30:50 EDT 2022
% Result : Unsatisfiable 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 73 ( 9 unt; 0 def)
% Number of atoms : 168 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 155 ( 60 ~; 55 |; 11 &)
% ( 21 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 84 ( 76 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f308,plain,
$false,
inference(avatar_sat_refutation,[],[f271,f273,f287,f303,f305,f307]) ).
fof(f307,plain,
~ spl6_6,
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f306,plain,
( $false
| ~ spl6_6 ),
inference(resolution,[],[f298,f215]) ).
fof(f215,plain,
~ cp(i2003_11_14_17_21_08508),
inference(resolution,[],[f214,f207]) ).
fof(f207,plain,
cpxcomp(i2003_11_14_17_21_08508),
inference(resolution,[],[f179,f166]) ).
fof(f166,plain,
cUnsatisfiable(i2003_11_14_17_21_08508),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
cUnsatisfiable(i2003_11_14_17_21_08508),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f179,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cpxcomp(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cpxcomp(X0)
& ? [X1] :
( rf(X0,X1)
& ca_Ax2(X1) ) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3] :
( ( ? [X4] :
( rf(X3,X4)
& ca_Ax2(X4) )
& cpxcomp(X3) )
<=> cUnsatisfiable(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f214,plain,
! [X1] :
( ~ cpxcomp(X1)
| ~ cp(X1) ),
inference(resolution,[],[f174,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
<=> cp(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X3] :
( cp(X3)
<=> ~ ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f174,plain,
! [X0] :
( ra_Px1(X0,sK4(X0))
| ~ cpxcomp(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
<=> cpxcomp(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X3] :
( ? [X5] : ra_Px1(X3,X5)
<=> cpxcomp(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f298,plain,
( cp(i2003_11_14_17_21_08508)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl6_6
<=> cp(i2003_11_14_17_21_08508) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f305,plain,
spl6_7,
inference(avatar_contradiction_clause,[],[f304]) ).
fof(f304,plain,
( $false
| spl6_7 ),
inference(resolution,[],[f302,f230]) ).
fof(f230,plain,
ca_Vx3(i2003_11_14_17_21_08508),
inference(resolution,[],[f229,f166]) ).
fof(f229,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca_Vx3(X0) ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0)
| ca_Vx3(X0) ),
inference(resolution,[],[f225,f177]) ).
fof(f177,plain,
! [X0] :
( ca_Ax2(sK5(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f225,plain,
! [X0] :
( ~ ca_Ax2(sK5(X0))
| ca_Vx3(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f158,f217]) ).
fof(f217,plain,
! [X0] :
( rinvF(sK5(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f178,f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ rf(X1,X0)
| rinvF(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( rf(X1,X0)
<=> rinvF(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X3,X4] :
( rf(X4,X3)
<=> rinvF(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f178,plain,
! [X0] :
( rf(X0,sK5(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f158,plain,
! [X2,X0] :
( ~ rinvF(X0,X2)
| ca_Vx3(X2)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( ! [X2] :
( ca_Vx3(X2)
| ~ rinvF(X0,X2) )
& ! [X1] :
( cp(X1)
| ~ rinvS(X0,X1) ) )
<=> ca_Ax2(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ca_Ax2(X0)
<=> ( ! [X1] :
( rinvS(X0,X1)
=> cp(X1) )
& ! [X2] :
( rinvF(X0,X2)
=> ca_Vx3(X2) ) ) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X3] :
( ca_Ax2(X3)
<=> ( ! [X4] :
( rinvS(X3,X4)
=> cp(X4) )
& ! [X4] :
( rinvF(X3,X4)
=> ca_Vx3(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f302,plain,
( ~ ca_Vx3(i2003_11_14_17_21_08508)
| spl6_7 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f300,plain,
( spl6_7
<=> ca_Vx3(i2003_11_14_17_21_08508) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f303,plain,
( spl6_6
| ~ spl6_7
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f294,f284,f300,f296]) ).
fof(f284,plain,
( spl6_4
<=> ca_Ax2(sK1(i2003_11_14_17_21_08508)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f294,plain,
( ~ ca_Vx3(i2003_11_14_17_21_08508)
| cp(i2003_11_14_17_21_08508)
| ~ spl6_4 ),
inference(resolution,[],[f286,f227]) ).
fof(f227,plain,
! [X0] :
( ~ ca_Ax2(sK1(X0))
| cp(X0)
| ~ ca_Vx3(X0) ),
inference(resolution,[],[f163,f211]) ).
fof(f211,plain,
! [X0] :
( rinvS(sK1(X0),X0)
| ~ ca_Vx3(X0) ),
inference(resolution,[],[f154,f137]) ).
fof(f137,plain,
! [X0] :
( rs(X0,sK1(X0))
| ~ ca_Vx3(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ? [X1] :
( cp(X1)
& rs(X0,X1) )
<=> ca_Vx3(X0) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X3] :
( ca_Vx3(X3)
<=> ? [X4] :
( rs(X3,X4)
& cp(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f154,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rinvS(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( rinvS(X0,X1)
<=> rs(X1,X0) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X3,X4] :
( rinvS(X3,X4)
<=> rs(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f163,plain,
! [X0,X1] :
( ~ rinvS(X0,X1)
| cp(X1)
| ~ ca_Ax2(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f286,plain,
( ca_Ax2(sK1(i2003_11_14_17_21_08508))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,plain,
( spl6_4
| ~ spl6_2
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f277,f264,f268,f284]) ).
fof(f268,plain,
( spl6_2
<=> cUnsatisfiable(i2003_11_14_17_21_08508) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f264,plain,
( spl6_1
<=> sK5(i2003_11_14_17_21_08508) = sK1(i2003_11_14_17_21_08508) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f277,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_08508)
| ca_Ax2(sK1(i2003_11_14_17_21_08508))
| ~ spl6_1 ),
inference(superposition,[],[f177,f266]) ).
fof(f266,plain,
( sK5(i2003_11_14_17_21_08508) = sK1(i2003_11_14_17_21_08508)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f273,plain,
spl6_2,
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f272,plain,
( $false
| spl6_2 ),
inference(resolution,[],[f270,f166]) ).
fof(f270,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_08508)
| spl6_2 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f271,plain,
( spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f262,f268,f264]) ).
fof(f262,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_08508)
| sK5(i2003_11_14_17_21_08508) = sK1(i2003_11_14_17_21_08508) ),
inference(resolution,[],[f244,f230]) ).
fof(f244,plain,
! [X1] :
( ~ ca_Vx3(X1)
| sK1(X1) = sK5(X1)
| ~ cUnsatisfiable(X1) ),
inference(resolution,[],[f233,f210]) ).
fof(f210,plain,
! [X0] :
( rf(X0,sK1(X0))
| ~ ca_Vx3(X0) ),
inference(resolution,[],[f137,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( rs(X0,X1)
=> rf(X0,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X3,X4] :
( rs(X3,X4)
=> rf(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f233,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| ~ cUnsatisfiable(X0)
| sK5(X0) = X1 ),
inference(resolution,[],[f157,f178]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ rf(X2,X1)
| ~ rf(X2,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ rf(X2,X0)
| X0 = X1
| ~ rf(X2,X1) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X2,X1,X0] :
( X0 = X1
| ~ rf(X2,X0)
| ~ rf(X2,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X2,X1,X0] :
( ( rf(X2,X0)
& rf(X2,X1) )
=> X0 = X1 ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X6,X4,X3] :
( ( rf(X3,X6)
& rf(X3,X4) )
=> X4 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS109+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:37:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (27264)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.47 % (27245)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48 % (27245)First to succeed.
% 0.19/0.48 % (27245)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (27245)------------------------------
% 0.19/0.48 % (27245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (27245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (27245)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (27245)Memory used [KB]: 5500
% 0.19/0.48 % (27245)Time elapsed: 0.083 s
% 0.19/0.48 % (27245)Instructions burned: 4 (million)
% 0.19/0.48 % (27245)------------------------------
% 0.19/0.48 % (27245)------------------------------
% 0.19/0.48 % (27239)Success in time 0.132 s
%------------------------------------------------------------------------------