TSTP Solution File: NUM555+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM555+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n029.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 18:05:47 EDT 2022
% Result : Theorem 1.56s 0.56s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 170 ( 32 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 220 ( 82 ~; 72 |; 55 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 61 ( 57 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f459,plain,
$false,
inference(resolution,[],[f455,f250]) ).
fof(f250,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
( isFinite0(xQ)
& xk = sbrdtbr0(xQ)
& aSet0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).
fof(f455,plain,
~ aSet0(xQ),
inference(resolution,[],[f454,f343]) ).
fof(f343,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
( aElementOf0(xy,xQ)
& aElement0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2304) ).
fof(f454,plain,
( ~ aElement0(xy)
| ~ aSet0(xQ) ),
inference(resolution,[],[f451,f296]) ).
fof(f296,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aSet0(X0)
| sP1(X0,X1)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f116,f168,f167]) ).
fof(f167,plain,
! [X2,X1,X0] :
( sP0(X2,X1,X0)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f168,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> sP0(X2,X1,X0) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f116,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ) )
| ~ aElement0(X1) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f451,plain,
~ sP1(xQ,xy),
inference(resolution,[],[f430,f236]) ).
fof(f236,plain,
aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(flattening,[],[f72]) ).
fof(f72,negated_conjecture,
~ ~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(negated_conjecture,[],[f71]) ).
fof(f71,conjecture,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f430,plain,
! [X0] :
( ~ aElementOf0(xx,sdtmndt0(xQ,X0))
| ~ sP1(xQ,X0) ),
inference(resolution,[],[f425,f366]) ).
fof(f366,plain,
! [X0,X1] :
( sP0(sdtmndt0(X0,X1),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f285]) ).
fof(f285,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtmndt0(X0,X1) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| sdtmndt0(X0,X1) != X2 ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f168]) ).
fof(f425,plain,
! [X0,X1] :
( ~ sP0(X0,X1,xQ)
| ~ aElementOf0(xx,X0) ),
inference(resolution,[],[f288,f313]) ).
fof(f313,plain,
~ aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2323) ).
fof(f288,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2)
| ~ aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ( ( sK8(X0,X1,X2) = X1
| ~ aElementOf0(sK8(X0,X1,X2),X2)
| ~ aElement0(sK8(X0,X1,X2))
| ~ aElementOf0(sK8(X0,X1,X2),X0) )
& ( ( sK8(X0,X1,X2) != X1
& aElementOf0(sK8(X0,X1,X2),X2)
& aElement0(sK8(X0,X1,X2)) )
| aElementOf0(sK8(X0,X1,X2),X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| X1 = X4
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) )
& ( ( X1 != X4
& aElementOf0(X4,X2)
& aElement0(X4) )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f194,f195]) ).
fof(f195,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0) )
& ( ( X1 != X3
& aElementOf0(X3,X2)
& aElement0(X3) )
| aElementOf0(X3,X0) ) )
=> ( ( sK8(X0,X1,X2) = X1
| ~ aElementOf0(sK8(X0,X1,X2),X2)
| ~ aElement0(sK8(X0,X1,X2))
| ~ aElementOf0(sK8(X0,X1,X2),X0) )
& ( ( sK8(X0,X1,X2) != X1
& aElementOf0(sK8(X0,X1,X2),X2)
& aElement0(sK8(X0,X1,X2)) )
| aElementOf0(sK8(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0) )
& ( ( X1 != X3
& aElementOf0(X3,X2)
& aElement0(X3) )
| aElementOf0(X3,X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| X1 = X4
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) )
& ( ( X1 != X4
& aElementOf0(X4,X2)
& aElement0(X4) )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f193]) ).
fof(f193,plain,
! [X2,X1,X0] :
( ( sP0(X2,X1,X0)
| ~ aSet0(X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP0(X2,X1,X0) ) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X2,X1,X0] :
( ( sP0(X2,X1,X0)
| ~ aSet0(X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP0(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM555+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 07:12:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (6144)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (6139)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (6145)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (6136)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)
% 0.19/0.52 % (6140)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (6135)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (6153)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)
% 0.19/0.52 % (6138)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (6137)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)
% 0.19/0.52 % (6161)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 % (6162)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (6142)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (6158)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (6142)Instruction limit reached!
% 0.19/0.53 % (6142)------------------------------
% 0.19/0.53 % (6142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (6142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (6142)Termination reason: Unknown
% 0.19/0.53 % (6142)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (6142)Memory used [KB]: 1023
% 0.19/0.53 % (6142)Time elapsed: 0.002 s
% 0.19/0.53 % (6142)Instructions burned: 2 (million)
% 0.19/0.53 % (6142)------------------------------
% 0.19/0.53 % (6142)------------------------------
% 0.19/0.53 % (6149)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (6154)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53 % (6157)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (6141)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (6143)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (6134)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.54 % (6156)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)
% 0.19/0.54 % (6163)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54 % (6150)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (6155)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (6148)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)
% 0.19/0.54 % (6151)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (6146)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 % (6147)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (6141)Instruction limit reached!
% 0.19/0.55 % (6141)------------------------------
% 0.19/0.55 % (6141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (6141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (6141)Termination reason: Unknown
% 0.19/0.55 % (6141)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (6141)Memory used [KB]: 5628
% 0.19/0.55 % (6141)Time elapsed: 0.111 s
% 0.19/0.55 % (6141)Instructions burned: 7 (million)
% 0.19/0.55 % (6141)------------------------------
% 0.19/0.55 % (6141)------------------------------
% 1.56/0.56 TRYING [1]
% 1.56/0.56 % (6160)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)
% 1.56/0.56 TRYING [2]
% 1.56/0.56 % (6143)First to succeed.
% 1.56/0.56 % (6139)Also succeeded, but the first one will report.
% 1.56/0.56 % (6143)Refutation found. Thanks to Tanya!
% 1.56/0.56 % SZS status Theorem for theBenchmark
% 1.56/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.56 % (6143)------------------------------
% 1.56/0.56 % (6143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (6143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (6143)Termination reason: Refutation
% 1.56/0.56
% 1.56/0.56 % (6143)Memory used [KB]: 1279
% 1.56/0.56 % (6143)Time elapsed: 0.146 s
% 1.56/0.56 % (6143)Instructions burned: 11 (million)
% 1.56/0.56 % (6143)------------------------------
% 1.56/0.56 % (6143)------------------------------
% 1.56/0.56 % (6133)Success in time 0.207 s
%------------------------------------------------------------------------------