TSTP Solution File: SEU155+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU155+1 : 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 : n008.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 18:26:56 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 127 ( 9 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 150 ( 52 ~; 47 |; 37 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 81 ( 61 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,plain,
$false,
inference(subsumption_resolution,[],[f51,f48]) ).
fof(f48,plain,
~ in(sK2(union(sK1),sK0),union(sK1)),
inference(unit_resulting_resolution,[],[f29,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ in(sK2(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,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])],[f19,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) )
=> ( in(sK2(X0,X1),X1)
& ~ in(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f19,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,[],[f18]) ).
fof(f18,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,[],[f13]) ).
fof(f13,plain,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f29,plain,
~ subset(sK0,union(sK1)),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( in(sK0,sK1)
& ~ subset(sK0,union(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f15]) ).
fof(f15,plain,
( ? [X0,X1] :
( in(X0,X1)
& ~ subset(X0,union(X1)) )
=> ( in(sK0,sK1)
& ~ subset(sK0,union(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1] :
( in(X0,X1)
& ~ subset(X0,union(X1)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).
fof(f51,plain,
in(sK2(union(sK1),sK0),union(sK1)),
inference(unit_resulting_resolution,[],[f30,f49,f43]) ).
fof(f43,plain,
! [X2,X0,X4] :
( ~ in(X4,X0)
| ~ in(X2,X4)
| in(X2,union(X0)) ),
inference(equality_resolution,[],[f38]) ).
fof(f38,plain,
! [X2,X0,X1,X4] :
( in(X2,X1)
| ~ in(X4,X0)
| ~ in(X2,X4)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( ! [X2] :
( ( ( in(sK3(X0,X2),X0)
& in(X2,sK3(X0,X2)) )
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] :
( ~ in(X4,X0)
| ~ in(X2,X4) ) ) )
| union(X0) != X1 )
& ( union(X0) = X1
| ( ( ~ in(sK4(X0,X1),X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(sK4(X0,X1),X6) ) )
& ( in(sK4(X0,X1),X1)
| ( in(sK5(X0,X1),X0)
& in(sK4(X0,X1),sK5(X0,X1)) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f23,f26,f25,f24]) ).
fof(f24,plain,
! [X0,X2] :
( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
=> ( in(sK3(X0,X2),X0)
& in(X2,sK3(X0,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( in(X5,X1)
| ? [X7] :
( in(X7,X0)
& in(X5,X7) ) ) )
=> ( ( ~ in(sK4(X0,X1),X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(sK4(X0,X1),X6) ) )
& ( in(sK4(X0,X1),X1)
| ? [X7] :
( in(X7,X0)
& in(sK4(X0,X1),X7) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X7] :
( in(X7,X0)
& in(sK4(X0,X1),X7) )
=> ( in(sK5(X0,X1),X0)
& in(sK4(X0,X1),sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
( ( ! [X2] :
( ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] :
( ~ in(X4,X0)
| ~ in(X2,X4) ) ) )
| union(X0) != X1 )
& ( union(X0) = X1
| ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( in(X5,X1)
| ? [X7] :
( in(X7,X0)
& in(X5,X7) ) ) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( ( ! [X2] :
( ( ? [X3] :
( in(X3,X1)
& in(X2,X3) )
| ~ in(X2,X0) )
& ( in(X2,X0)
| ! [X3] :
( ~ in(X3,X1)
| ~ in(X2,X3) ) ) )
| union(X1) != X0 )
& ( union(X1) = X0
| ? [X2] :
( ( ~ in(X2,X0)
| ! [X3] :
( ~ in(X3,X1)
| ~ in(X2,X3) ) )
& ( in(X2,X0)
| ? [X3] :
( in(X3,X1)
& in(X2,X3) ) ) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( ! [X2] :
( ? [X3] :
( in(X3,X1)
& in(X2,X3) )
<=> in(X2,X0) )
<=> union(X1) = X0 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( union(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X2,X3)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f49,plain,
in(sK2(union(sK1),sK0),sK0),
inference(unit_resulting_resolution,[],[f29,f34]) ).
fof(f34,plain,
! [X0,X1] :
( in(sK2(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f30,plain,
in(sK0,sK1),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU155+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n008.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 14:45:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.54 % (26397)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)
% 0.20/0.55 % (26392)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)
% 0.20/0.55 % (26405)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)
% 0.20/0.55 % (26389)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55 % (26392)First to succeed.
% 0.20/0.55 % (26389)Refutation not found, incomplete strategy% (26389)------------------------------
% 0.20/0.55 % (26389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (26389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (26389)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (26389)Memory used [KB]: 5884
% 0.20/0.55 % (26389)Time elapsed: 0.128 s
% 0.20/0.55 % (26389)Instructions burned: 2 (million)
% 0.20/0.55 % (26389)------------------------------
% 0.20/0.55 % (26389)------------------------------
% 0.20/0.55 % (26406)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.56 % (26397)Instruction limit reached!
% 0.20/0.56 % (26397)------------------------------
% 0.20/0.56 % (26397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (26397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (26397)Termination reason: Unknown
% 0.20/0.56 % (26397)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (26397)Memory used [KB]: 6012
% 0.20/0.56 % (26397)Time elapsed: 0.141 s
% 0.20/0.56 % (26397)Instructions burned: 3 (million)
% 0.20/0.56 % (26397)------------------------------
% 0.20/0.56 % (26397)------------------------------
% 0.20/0.56 % (26390)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56 % (26405)Also succeeded, but the first one will report.
% 0.20/0.56 % (26392)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (26392)------------------------------
% 0.20/0.56 % (26392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (26392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (26392)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (26392)Memory used [KB]: 6012
% 0.20/0.56 % (26392)Time elapsed: 0.079 s
% 0.20/0.56 % (26392)Instructions burned: 2 (million)
% 0.20/0.56 % (26392)------------------------------
% 0.20/0.56 % (26392)------------------------------
% 0.20/0.56 % (26382)Success in time 0.212 s
%------------------------------------------------------------------------------