TSTP Solution File: SEU121+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU121+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n012.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 18:26:44 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 71 ( 26 ~; 14 |; 23 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 33 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f148,plain,
$false,
inference(subsumption_resolution,[],[f144,f112]) ).
fof(f112,plain,
in(sK2(sK5,sK3),sK4),
inference(unit_resulting_resolution,[],[f90,f109,f85]) ).
fof(f85,plain,
! [X3,X0,X1] :
( ~ subset(X1,X0)
| in(X3,X0)
| ~ in(X3,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( in(sK2(X0,X1),X1)
& ~ in(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| in(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f51,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) )
=> ( in(sK2(X0,X1),X1)
& ~ in(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| in(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f109,plain,
in(sK2(sK5,sK3),sK3),
inference(unit_resulting_resolution,[],[f91,f87]) ).
fof(f87,plain,
! [X0,X1] :
( in(sK2(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f91,plain,
~ subset(sK3,sK5),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ~ subset(sK3,sK5)
& subset(sK3,sK4)
& subset(sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f55,f56]) ).
fof(f56,plain,
( ? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X0,X1)
& subset(X1,X2) )
=> ( ~ subset(sK3,sK5)
& subset(sK3,sK4)
& subset(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0,X1,X2] :
( ~ subset(X0,X2)
& subset(X0,X1)
& subset(X1,X2) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
? [X0,X2,X1] :
( ~ subset(X0,X1)
& subset(X0,X2)
& subset(X2,X1) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
? [X2,X1,X0] :
( ~ subset(X0,X1)
& subset(X2,X1)
& subset(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X2,X1,X0] :
( ( subset(X2,X1)
& subset(X0,X2) )
=> subset(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X2,X1] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X2,X1] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f90,plain,
subset(sK3,sK4),
inference(cnf_transformation,[],[f57]) ).
fof(f144,plain,
~ in(sK2(sK5,sK3),sK4),
inference(unit_resulting_resolution,[],[f89,f110,f85]) ).
fof(f110,plain,
~ in(sK2(sK5,sK3),sK5),
inference(unit_resulting_resolution,[],[f91,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ in(sK2(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f89,plain,
subset(sK4,sK5),
inference(cnf_transformation,[],[f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU121+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 14:39:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49 % (2115)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.50 % (2104)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50 % (2096)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (2097)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (2097)Instruction limit reached!
% 0.19/0.51 % (2097)------------------------------
% 0.19/0.51 % (2097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (2097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (2097)Termination reason: Unknown
% 0.19/0.51 % (2097)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (2097)Memory used [KB]: 6012
% 0.19/0.51 % (2097)Time elapsed: 0.122 s
% 0.19/0.51 % (2097)Instructions burned: 4 (million)
% 0.19/0.51 % (2097)------------------------------
% 0.19/0.51 % (2097)------------------------------
% 0.19/0.51 % (2120)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.51 % (2117)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51 % (2098)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (2104)First to succeed.
% 0.19/0.51 % (2109)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (2099)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (2098)Also succeeded, but the first one will report.
% 0.19/0.52 % (2104)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (2104)------------------------------
% 0.19/0.52 % (2104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (2104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (2104)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (2104)Memory used [KB]: 6012
% 0.19/0.52 % (2104)Time elapsed: 0.129 s
% 0.19/0.52 % (2104)Instructions burned: 4 (million)
% 0.19/0.52 % (2104)------------------------------
% 0.19/0.52 % (2104)------------------------------
% 0.19/0.52 % (2094)Success in time 0.183 s
%------------------------------------------------------------------------------