TSTP Solution File: NUM405+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% 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 18:04:59 EDT 2022
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 99 ( 41 ~; 35 |; 15 &)
% ( 2 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 47 ( 38 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f229,plain,
$false,
inference(resolution,[],[f226,f212]) ).
fof(f212,plain,
! [X1] : in(sK5(sK8(X1)),sK11),
inference(resolution,[],[f206,f139]) ).
fof(f139,plain,
! [X1] :
( ~ ordinal(X1)
| in(X1,sK11) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X1] :
( in(X1,sK11)
| ~ ordinal(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f56,f90]) ).
fof(f90,plain,
( ? [X0] :
! [X1] :
( in(X1,X0)
| ~ ordinal(X1) )
=> ! [X1] :
( in(X1,sK11)
| ~ ordinal(X1) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0] :
! [X1] :
( in(X1,X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0] :
~ ! [X1] :
( ordinal(X1)
=> in(X1,X0) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0] :
~ ! [X1] :
( ordinal(X1)
=> in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_ordinal1) ).
fof(f206,plain,
! [X0] : ordinal(sK5(sK8(X0))),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ordinal(sK5(sK8(X0)))
| ordinal(sK5(sK8(X0))) ),
inference(resolution,[],[f123,f134]) ).
fof(f134,plain,
! [X2,X0] :
( ~ in(X2,sK8(X0))
| ordinal(X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X2] :
( ( in(X2,sK8(X0))
| ~ ordinal(X2)
| ~ in(X2,X0) )
& ( ( ordinal(X2)
& in(X2,X0) )
| ~ in(X2,sK8(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f83,f84]) ).
fof(f84,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( in(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,X0) )
& ( ( ordinal(X2)
& in(X2,X0) )
| ~ in(X2,X1) ) )
=> ! [X2] :
( ( in(X2,sK8(X0))
| ~ ordinal(X2)
| ~ in(X2,X0) )
& ( ( ordinal(X2)
& in(X2,X0) )
| ~ in(X2,sK8(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
? [X1] :
! [X2] :
( ( in(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,X0) )
& ( ( ordinal(X2)
& in(X2,X0) )
| ~ in(X2,X1) ) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0] :
? [X1] :
! [X2] :
( ( in(X2,X1)
| ~ ordinal(X2)
| ~ in(X2,X0) )
& ( ( ordinal(X2)
& in(X2,X0) )
| ~ in(X2,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
? [X1] :
! [X2] :
( in(X2,X1)
<=> ( ordinal(X2)
& in(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e2_43__ordinal1) ).
fof(f123,plain,
! [X0] :
( in(sK5(X0),X0)
| ordinal(sK5(X0)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( ~ ordinal(sK5(X0))
| ~ in(sK5(X0),X0) )
& ( ordinal(sK5(X0))
| in(sK5(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f75,f76]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
( ( ~ ordinal(X1)
| ~ in(X1,X0) )
& ( ordinal(X1)
| in(X1,X0) ) )
=> ( ( ~ ordinal(sK5(X0))
| ~ in(sK5(X0),X0) )
& ( ordinal(sK5(X0))
| in(sK5(X0),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
? [X1] :
( ( ~ ordinal(X1)
| ~ in(X1,X0) )
& ( ordinal(X1)
| in(X1,X0) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
? [X1] :
( in(X1,X0)
<~> ordinal(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
~ ! [X1] :
( ordinal(X1)
<=> in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_ordinal1) ).
fof(f226,plain,
! [X0] : ~ in(sK5(sK8(X0)),X0),
inference(subsumption_resolution,[],[f224,f206]) ).
fof(f224,plain,
! [X0] :
( ~ ordinal(sK5(sK8(X0)))
| ~ in(sK5(sK8(X0)),X0) ),
inference(resolution,[],[f211,f135]) ).
fof(f135,plain,
! [X2,X0] :
( in(X2,sK8(X0))
| ~ ordinal(X2)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f211,plain,
! [X0] : ~ in(sK5(sK8(X0)),sK8(X0)),
inference(resolution,[],[f206,f124]) ).
fof(f124,plain,
! [X0] :
( ~ ordinal(sK5(X0))
| ~ in(sK5(X0),X0) ),
inference(cnf_transformation,[],[f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:29:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.54 % (15033)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (15033)Instruction limit reached!
% 0.21/0.54 % (15033)------------------------------
% 0.21/0.54 % (15033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (15033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (15033)Termination reason: Unknown
% 0.21/0.55 % (15033)Termination phase: Preprocessing 2
% 0.21/0.55
% 0.21/0.55 % (15033)Memory used [KB]: 895
% 0.21/0.55 % (15033)Time elapsed: 0.004 s
% 0.21/0.55 % (15033)Instructions burned: 2 (million)
% 0.21/0.55 % (15033)------------------------------
% 0.21/0.55 % (15033)------------------------------
% 0.21/0.55 % (15040)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)
% 0.21/0.55 % (15032)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (15031)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)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 % (15032)Instruction limit reached!
% 0.21/0.55 % (15032)------------------------------
% 0.21/0.55 % (15032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 TRYING [2]
% 0.21/0.55 TRYING [3]
% 0.21/0.56 TRYING [4]
% 0.21/0.56 % (15047)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)
% 0.21/0.56 % (15040)First to succeed.
% 0.21/0.56 % (15048)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)
% 0.21/0.56 TRYING [5]
% 0.21/0.56 % (15039)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)
% 0.21/0.56 % (15032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (15032)Termination reason: Unknown
% 0.21/0.56 % (15032)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (15032)Memory used [KB]: 5500
% 0.21/0.56 % (15032)Time elapsed: 0.132 s
% 0.21/0.56 % (15032)Instructions burned: 7 (million)
% 0.21/0.56 % (15032)------------------------------
% 0.21/0.56 % (15032)------------------------------
% 0.21/0.56 % (15048)Also succeeded, but the first one will report.
% 0.21/0.57 % (15040)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Theorem for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (15040)------------------------------
% 0.21/0.57 % (15040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (15040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (15040)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (15040)Memory used [KB]: 1023
% 0.21/0.57 % (15040)Time elapsed: 0.136 s
% 0.21/0.57 % (15040)Instructions burned: 5 (million)
% 0.21/0.57 % (15040)------------------------------
% 0.21/0.57 % (15040)------------------------------
% 0.21/0.57 % (15024)Success in time 0.199 s
%------------------------------------------------------------------------------