TSTP Solution File: NUM561+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM561+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 18:05:49 EDT 2022
% Result : Theorem 1.22s 0.51s
% Output : Refutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 151 ( 39 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 194 ( 75 ~; 72 |; 36 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 78 ( 62 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f515,plain,
$false,
inference(subsumption_resolution,[],[f512,f267]) ).
fof(f267,plain,
aFunction0(xF),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
aFunction0(xF),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2911) ).
fof(f512,plain,
~ aFunction0(xF),
inference(resolution,[],[f445,f452]) ).
fof(f452,plain,
~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF)),
inference(subsumption_resolution,[],[f451,f283]) ).
fof(f283,plain,
aElementOf0(xx,szDzozmdt0(xF)),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
aElementOf0(xx,szDzozmdt0(xF)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2911_02) ).
fof(f451,plain,
( ~ aElementOf0(xx,szDzozmdt0(xF))
| ~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF)) ),
inference(subsumption_resolution,[],[f450,f267]) ).
fof(f450,plain,
( ~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF))
| ~ aFunction0(xF)
| ~ aElementOf0(xx,szDzozmdt0(xF)) ),
inference(resolution,[],[f427,f343]) ).
fof(f343,plain,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(flattening,[],[f72]) ).
fof(f72,negated_conjecture,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(negated_conjecture,[],[f71]) ).
fof(f71,conjecture,
aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f427,plain,
! [X0,X1,X5] :
( aElementOf0(sdtlpdtrp0(X0,X5),sdtlcdtrc0(X0,X1))
| ~ aFunction0(X0)
| ~ aElementOf0(X5,X1)
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) ),
inference(equality_resolution,[],[f426]) ).
fof(f426,plain,
! [X2,X0,X1,X5] :
( aElementOf0(sdtlpdtrp0(X0,X5),X2)
| ~ aElementOf0(X5,X1)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f387]) ).
fof(f387,plain,
! [X2,X3,X0,X1,X5] :
( aElementOf0(X3,X2)
| ~ aElementOf0(X5,X1)
| sdtlpdtrp0(X0,X5) != X3
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ! [X3] :
( ( ( aElementOf0(sK17(X0,X1,X3),X1)
& sdtlpdtrp0(X0,sK17(X0,X1,X3)) = X3 )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ! [X5] :
( ~ aElementOf0(X5,X1)
| sdtlpdtrp0(X0,X5) != X3 ) ) )
& aSet0(X2) )
| sdtlcdtrc0(X0,X1) != X2 )
& ( sdtlcdtrc0(X0,X1) = X2
| ( ( ~ aElementOf0(sK18(X0,X1,X2),X2)
| ! [X7] :
( ~ aElementOf0(X7,X1)
| sK18(X0,X1,X2) != sdtlpdtrp0(X0,X7) ) )
& ( aElementOf0(sK18(X0,X1,X2),X2)
| ( aElementOf0(sK19(X0,X1,X2),X1)
& sK18(X0,X1,X2) = sdtlpdtrp0(X0,sK19(X0,X1,X2)) ) ) )
| ~ aSet0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f255,f258,f257,f256]) ).
fof(f256,plain,
! [X0,X1,X3] :
( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
=> ( aElementOf0(sK17(X0,X1,X3),X1)
& sdtlpdtrp0(X0,sK17(X0,X1,X3)) = X3 ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
! [X0,X1,X2] :
( ? [X6] :
( ( ~ aElementOf0(X6,X2)
| ! [X7] :
( ~ aElementOf0(X7,X1)
| sdtlpdtrp0(X0,X7) != X6 ) )
& ( aElementOf0(X6,X2)
| ? [X8] :
( aElementOf0(X8,X1)
& sdtlpdtrp0(X0,X8) = X6 ) ) )
=> ( ( ~ aElementOf0(sK18(X0,X1,X2),X2)
| ! [X7] :
( ~ aElementOf0(X7,X1)
| sK18(X0,X1,X2) != sdtlpdtrp0(X0,X7) ) )
& ( aElementOf0(sK18(X0,X1,X2),X2)
| ? [X8] :
( aElementOf0(X8,X1)
& sK18(X0,X1,X2) = sdtlpdtrp0(X0,X8) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f258,plain,
! [X0,X1,X2] :
( ? [X8] :
( aElementOf0(X8,X1)
& sK18(X0,X1,X2) = sdtlpdtrp0(X0,X8) )
=> ( aElementOf0(sK19(X0,X1,X2),X1)
& sK18(X0,X1,X2) = sdtlpdtrp0(X0,sK19(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ! [X3] :
( ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ! [X5] :
( ~ aElementOf0(X5,X1)
| sdtlpdtrp0(X0,X5) != X3 ) ) )
& aSet0(X2) )
| sdtlcdtrc0(X0,X1) != X2 )
& ( sdtlcdtrc0(X0,X1) = X2
| ? [X6] :
( ( ~ aElementOf0(X6,X2)
| ! [X7] :
( ~ aElementOf0(X7,X1)
| sdtlpdtrp0(X0,X7) != X6 ) )
& ( aElementOf0(X6,X2)
| ? [X8] :
( aElementOf0(X8,X1)
& sdtlpdtrp0(X0,X8) = X6 ) ) )
| ~ aSet0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(rectify,[],[f254]) ).
fof(f254,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ! [X3] :
( ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 ) ) )
& aSet0(X2) )
| sdtlcdtrc0(X0,X1) != X2 )
& ( sdtlcdtrc0(X0,X1) = X2
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 ) )
& ( aElementOf0(X3,X2)
| ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 ) ) )
| ~ aSet0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f253]) ).
fof(f253,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ! [X3] :
( ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 ) ) )
& aSet0(X2) )
| sdtlcdtrc0(X0,X1) != X2 )
& ( sdtlcdtrc0(X0,X1) = X2
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 ) )
& ( aElementOf0(X3,X2)
| ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 ) ) )
| ~ aSet0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ! [X3] :
( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
<=> aElementOf0(X3,X2) )
& aSet0(X2) )
<=> sdtlcdtrc0(X0,X1) = X2 )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( ( ! [X3] :
( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
<=> aElementOf0(X3,X2) )
& aSet0(X2) )
<=> sdtlcdtrc0(X0,X1) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).
fof(f445,plain,
! [X0] :
( aSubsetOf0(szDzozmdt0(X0),szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(resolution,[],[f324,f280]) ).
fof(f280,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(f324,plain,
! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM561+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % 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 : n029.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 07:14:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (11794)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)
% 0.20/0.49 % (11810)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)
% 0.20/0.50 % (11802)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)
% 0.20/0.50 % (11807)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 % (11791)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (11791)Instruction limit reached!
% 0.20/0.51 % (11791)------------------------------
% 0.20/0.51 % (11791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (11791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (11791)Termination reason: Unknown
% 0.20/0.51 % (11791)Termination phase: Naming
% 0.20/0.51
% 0.20/0.51 % (11791)Memory used [KB]: 1023
% 0.20/0.51 % (11791)Time elapsed: 0.002 s
% 0.20/0.51 % (11791)Instructions burned: 2 (million)
% 0.20/0.51 % (11791)------------------------------
% 0.20/0.51 % (11791)------------------------------
% 0.20/0.51 % (11799)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)
% 1.22/0.51 % (11802)First to succeed.
% 1.22/0.51 % (11803)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)
% 1.22/0.51 % (11802)Refutation found. Thanks to Tanya!
% 1.22/0.51 % SZS status Theorem for theBenchmark
% 1.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.22/0.51 % (11802)------------------------------
% 1.22/0.51 % (11802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.51 % (11802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.51 % (11802)Termination reason: Refutation
% 1.22/0.51
% 1.22/0.51 % (11802)Memory used [KB]: 1279
% 1.22/0.51 % (11802)Time elapsed: 0.117 s
% 1.22/0.51 % (11802)Instructions burned: 13 (million)
% 1.22/0.51 % (11802)------------------------------
% 1.22/0.51 % (11802)------------------------------
% 1.22/0.51 % (11780)Success in time 0.161 s
%------------------------------------------------------------------------------