TSTP Solution File: KRS113+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS113+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 : n014.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 0.21s 0.58s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 69 ( 13 unt; 0 def)
% Number of atoms : 270 ( 19 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 300 ( 99 ~; 90 |; 83 &)
% ( 16 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 149 ( 110 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f228,plain,
$false,
inference(resolution,[],[f223,f177]) ).
fof(f177,plain,
ra_Px1(i2003_11_14_17_21_22376,sK3(i2003_11_14_17_21_22376)),
inference(resolution,[],[f130,f173]) ).
fof(f173,plain,
cpxcomp(i2003_11_14_17_21_22376),
inference(resolution,[],[f172,f133]) ).
fof(f133,plain,
! [X0] :
( ~ sP0(X0)
| cpxcomp(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( sP0(X0)
| ( sK4(X0) != sK5(X0)
& rr(X0,sK5(X0))
& rr(X0,sK4(X0)) )
| ! [X3] :
( ~ rs(X0,X3)
| ~ cp(X3) )
| ! [X4] :
( ~ ca_Vx2(X4)
| ~ rr(X0,X4) )
| ~ cpxcomp(X0) )
& ( ( ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
& rs(X0,sK6(X0))
& cp(sK6(X0))
& ca_Vx2(sK7(X0))
& rr(X0,sK7(X0))
& cpxcomp(X0) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f101,f104,f103,f102]) ).
fof(f102,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) )
=> ( sK4(X0) != sK5(X0)
& rr(X0,sK5(X0))
& rr(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0] :
( ? [X7] :
( rs(X0,X7)
& cp(X7) )
=> ( rs(X0,sK6(X0))
& cp(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ? [X8] :
( ca_Vx2(X8)
& rr(X0,X8) )
=> ( ca_Vx2(sK7(X0))
& rr(X0,sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2] :
( X1 != X2
& rr(X0,X2)
& rr(X0,X1) )
| ! [X3] :
( ~ rs(X0,X3)
| ~ cp(X3) )
| ! [X4] :
( ~ ca_Vx2(X4)
| ~ rr(X0,X4) )
| ~ cpxcomp(X0) )
& ( ( ! [X5,X6] :
( X5 = X6
| ~ rr(X0,X6)
| ~ rr(X0,X5) )
& ? [X7] :
( rs(X0,X7)
& cp(X7) )
& ? [X8] :
( ca_Vx2(X8)
& rr(X0,X8) )
& cpxcomp(X0) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( sP0(X0)
| ? [X2,X3] :
( X2 != X3
& rr(X0,X3)
& rr(X0,X2) )
| ! [X4] :
( ~ rs(X0,X4)
| ~ cp(X4) )
| ! [X1] :
( ~ ca_Vx2(X1)
| ~ rr(X0,X1) )
| ~ cpxcomp(X0) )
& ( ( ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X3)
| ~ rr(X0,X2) )
& ? [X4] :
( rs(X0,X4)
& cp(X4) )
& ? [X1] :
( ca_Vx2(X1)
& rr(X0,X1) )
& cpxcomp(X0) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( sP0(X0)
| ? [X2,X3] :
( X2 != X3
& rr(X0,X3)
& rr(X0,X2) )
| ! [X4] :
( ~ rs(X0,X4)
| ~ cp(X4) )
| ! [X1] :
( ~ ca_Vx2(X1)
| ~ rr(X0,X1) )
| ~ cpxcomp(X0) )
& ( ( ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X3)
| ~ rr(X0,X2) )
& ? [X4] :
( rs(X0,X4)
& cp(X4) )
& ? [X1] :
( ca_Vx2(X1)
& rr(X0,X1) )
& cpxcomp(X0) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( sP0(X0)
<=> ( ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X3)
| ~ rr(X0,X2) )
& ? [X4] :
( rs(X0,X4)
& cp(X4) )
& ? [X1] :
( ca_Vx2(X1)
& rr(X0,X1) )
& cpxcomp(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f172,plain,
sP0(i2003_11_14_17_21_22376),
inference(resolution,[],[f142,f154]) ).
fof(f154,plain,
cUnsatisfiable(i2003_11_14_17_21_22376),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
cUnsatisfiable(i2003_11_14_17_21_22376),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f142,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> sP0(X0) ),
inference(definition_folding,[],[f58,f80]) ).
fof(f58,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X3)
| ~ rr(X0,X2) )
& ? [X4] :
( rs(X0,X4)
& cp(X4) )
& ? [X1] :
( ca_Vx2(X1)
& rr(X0,X1) )
& cpxcomp(X0) ) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cpxcomp(X0)
& ! [X2,X3] :
( X2 = X3
| ~ rr(X0,X2)
| ~ rr(X0,X3) )
& ? [X1] :
( ca_Vx2(X1)
& rr(X0,X1) )
& ? [X4] :
( rs(X0,X4)
& cp(X4) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cpxcomp(X0)
& ! [X2,X3] :
( ( rr(X0,X2)
& rr(X0,X3) )
=> X2 = X3 )
& ? [X1] :
( ca_Vx2(X1)
& rr(X0,X1) )
& ? [X4] :
( rs(X0,X4)
& cp(X4) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ? [X6] :
( ca_Vx2(X6)
& rr(X3,X6) )
& cpxcomp(X3)
& ! [X4,X5] :
( ( rr(X3,X4)
& rr(X3,X5) )
=> X4 = X5 )
& ? [X6] :
( rs(X3,X6)
& cp(X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f130,plain,
! [X0] :
( ~ cpxcomp(X0)
| ra_Px1(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( ra_Px1(X0,sK3(X0))
| ~ cpxcomp(X0) )
& ( cpxcomp(X0)
| ! [X2] : ~ ra_Px1(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f95,f96]) ).
fof(f96,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) )
& ( cpxcomp(X0)
| ! [X2] : ~ ra_Px1(X0,X2) ) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) )
& ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
<=> cpxcomp(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] :
( cpxcomp(X3)
<=> ? [X4] : ra_Px1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f223,plain,
! [X4] : ~ ra_Px1(i2003_11_14_17_21_22376,X4),
inference(resolution,[],[f219,f114]) ).
fof(f114,plain,
! [X2,X0] :
( ~ cp(X0)
| ~ ra_Px1(X0,X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( cp(X0)
| ra_Px1(X0,sK1(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f84,f85]) ).
fof(f85,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3] :
( ~ ? [X6] : ra_Px1(X3,X6)
<=> cp(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f219,plain,
cp(i2003_11_14_17_21_22376),
inference(resolution,[],[f208,f183]) ).
fof(f183,plain,
rinvS(sK6(i2003_11_14_17_21_22376),i2003_11_14_17_21_22376),
inference(resolution,[],[f149,f180]) ).
fof(f180,plain,
rs(i2003_11_14_17_21_22376,sK6(i2003_11_14_17_21_22376)),
inference(resolution,[],[f137,f172]) ).
fof(f137,plain,
! [X0] :
( ~ sP0(X0)
| rs(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f149,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rinvS(X1,X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ( rs(X0,X1)
| ~ rinvS(X1,X0) )
& ( rinvS(X1,X0)
| ~ rs(X0,X1) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( rs(X0,X1)
<=> rinvS(X1,X0) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X6,X3] :
( rinvS(X3,X6)
<=> rs(X6,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f208,plain,
! [X0] :
( ~ rinvS(sK6(i2003_11_14_17_21_22376),X0)
| cp(X0) ),
inference(superposition,[],[f197,f206]) ).
fof(f206,plain,
sK6(i2003_11_14_17_21_22376) = sK7(i2003_11_14_17_21_22376),
inference(resolution,[],[f202,f181]) ).
fof(f181,plain,
rr(i2003_11_14_17_21_22376,sK6(i2003_11_14_17_21_22376)),
inference(resolution,[],[f180,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rr(X1,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rr(X1,X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( rs(X1,X0)
=> rr(X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X6,X3] :
( rs(X3,X6)
=> rr(X3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f202,plain,
! [X0] :
( ~ rr(i2003_11_14_17_21_22376,X0)
| sK7(i2003_11_14_17_21_22376) = X0 ),
inference(resolution,[],[f186,f179]) ).
fof(f179,plain,
rr(i2003_11_14_17_21_22376,sK7(i2003_11_14_17_21_22376)),
inference(resolution,[],[f134,f172]) ).
fof(f134,plain,
! [X0] :
( ~ sP0(X0)
| rr(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f186,plain,
! [X0,X1] :
( ~ rr(i2003_11_14_17_21_22376,X1)
| X0 = X1
| ~ rr(i2003_11_14_17_21_22376,X0) ),
inference(resolution,[],[f138,f172]) ).
fof(f138,plain,
! [X0,X6,X5] :
( ~ sP0(X0)
| X5 = X6
| ~ rr(X0,X5)
| ~ rr(X0,X6) ),
inference(cnf_transformation,[],[f105]) ).
fof(f197,plain,
! [X0] :
( ~ rinvS(sK7(i2003_11_14_17_21_22376),X0)
| cp(X0) ),
inference(resolution,[],[f185,f172]) ).
fof(f185,plain,
! [X0,X1] :
( ~ sP0(X1)
| cp(X0)
| ~ rinvS(sK7(X1),X0) ),
inference(resolution,[],[f126,f135]) ).
fof(f135,plain,
! [X0] :
( ca_Vx2(sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f126,plain,
! [X0,X1] :
( ~ ca_Vx2(X0)
| cp(X1)
| ~ rinvS(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ( ! [X1] :
( ~ rinvS(X0,X1)
| cp(X1) )
| ~ ca_Vx2(X0) )
& ( ca_Vx2(X0)
| ( rinvS(X0,sK2(X0))
& ~ cp(sK2(X0)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f89,f90]) ).
fof(f90,plain,
! [X0] :
( ? [X2] :
( rinvS(X0,X2)
& ~ cp(X2) )
=> ( rinvS(X0,sK2(X0))
& ~ cp(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ( ! [X1] :
( ~ rinvS(X0,X1)
| cp(X1) )
| ~ ca_Vx2(X0) )
& ( ca_Vx2(X0)
| ? [X2] :
( rinvS(X0,X2)
& ~ cp(X2) ) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( ! [X1] :
( ~ rinvS(X0,X1)
| cp(X1) )
| ~ ca_Vx2(X0) )
& ( ca_Vx2(X0)
| ? [X1] :
( rinvS(X0,X1)
& ~ cp(X1) ) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ~ rinvS(X0,X1)
| cp(X1) )
<=> ca_Vx2(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ca_Vx2(X0)
<=> ! [X1] :
( rinvS(X0,X1)
=> cp(X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3] :
( ca_Vx2(X3)
<=> ! [X6] :
( rinvS(X3,X6)
=> cp(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS113+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 00:34:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.56 % (12676)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.57 % (12693)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.57 % (12688)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.57 % (12684)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.58 % (12676)First to succeed.
% 0.21/0.58 % (12676)Refutation found. Thanks to Tanya!
% 0.21/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58 % (12676)------------------------------
% 0.21/0.58 % (12676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (12676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (12676)Termination reason: Refutation
% 0.21/0.58
% 0.21/0.58 % (12676)Memory used [KB]: 1023
% 0.21/0.58 % (12676)Time elapsed: 0.149 s
% 0.21/0.58 % (12676)Instructions burned: 4 (million)
% 0.21/0.58 % (12676)------------------------------
% 0.21/0.58 % (12676)------------------------------
% 0.21/0.58 % (12673)Success in time 0.219 s
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