TSTP Solution File: SEU133+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU133+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 : n023.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 18:26:48 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 129 ( 11 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 160 ( 61 ~; 53 |; 34 &)
% ( 7 <=>; 5 =>; 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 : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 77 ( 64 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f403,plain,
$false,
inference(subsumption_resolution,[],[f391,f263]) ).
fof(f263,plain,
~ in(sK9(set_difference(sK4,sK5),sK4),sK4),
inference(resolution,[],[f171,f199]) ).
fof(f199,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ~ in(sK9(X0,X1),X1)
& in(sK9(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f132,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X3] :
( ~ in(X3,X1)
& in(X3,X0) )
=> ( ~ in(sK9(X0,X1),X1)
& in(sK9(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( ~ in(X3,X1)
& in(X3,X0) ) ) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X1,X0] :
( ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X1)
=> in(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f171,plain,
~ subset(set_difference(sK4,sK5),sK4),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
~ subset(set_difference(sK4,sK5),sK4),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f107,f108]) ).
fof(f108,plain,
( ? [X0,X1] : ~ subset(set_difference(X0,X1),X0)
=> ~ subset(set_difference(sK4,sK5),sK4) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
? [X0,X1] : ~ subset(set_difference(X0,X1),X0),
inference(rectify,[],[f71]) ).
fof(f71,plain,
? [X1,X0] : ~ subset(set_difference(X1,X0),X1),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
~ ! [X1,X0] : subset(set_difference(X1,X0),X1),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X0] : subset(set_difference(X0,X1),X0),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X0] : subset(set_difference(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(f391,plain,
in(sK9(set_difference(sK4,sK5),sK4),sK4),
inference(resolution,[],[f262,f219]) ).
fof(f219,plain,
! [X2,X1,X4] :
( in(X4,X1)
| ~ in(X4,set_difference(X1,X2)) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X0)
| set_difference(X1,X2) != X0 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ( set_difference(X1,X2) = X0
| ( ( ~ in(sK6(X0,X1,X2),X0)
| ~ in(sK6(X0,X1,X2),X1)
| in(sK6(X0,X1,X2),X2) )
& ( in(sK6(X0,X1,X2),X0)
| ( in(sK6(X0,X1,X2),X1)
& ~ in(sK6(X0,X1,X2),X2) ) ) ) )
& ( ! [X4] :
( ( ( in(X4,X1)
& ~ in(X4,X2) )
| ~ in(X4,X0) )
& ( in(X4,X0)
| ~ in(X4,X1)
| in(X4,X2) ) )
| set_difference(X1,X2) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f113,f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| in(X3,X2) )
& ( in(X3,X0)
| ( in(X3,X1)
& ~ in(X3,X2) ) ) )
=> ( ( ~ in(sK6(X0,X1,X2),X0)
| ~ in(sK6(X0,X1,X2),X1)
| in(sK6(X0,X1,X2),X2) )
& ( in(sK6(X0,X1,X2),X0)
| ( in(sK6(X0,X1,X2),X1)
& ~ in(sK6(X0,X1,X2),X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ( set_difference(X1,X2) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| in(X3,X2) )
& ( in(X3,X0)
| ( in(X3,X1)
& ~ in(X3,X2) ) ) ) )
& ( ! [X4] :
( ( ( in(X4,X1)
& ~ in(X4,X2) )
| ~ in(X4,X0) )
& ( in(X4,X0)
| ~ in(X4,X1)
| in(X4,X2) ) )
| set_difference(X1,X2) != X0 ) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
! [X2,X1,X0] :
( ( set_difference(X1,X0) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X1)
| in(X3,X0) )
& ( in(X3,X2)
| ( in(X3,X1)
& ~ in(X3,X0) ) ) ) )
& ( ! [X3] :
( ( ( in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ~ in(X3,X1)
| in(X3,X0) ) )
| set_difference(X1,X0) != X2 ) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X2,X1,X0] :
( ( set_difference(X1,X0) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X1)
| in(X3,X0) )
& ( in(X3,X2)
| ( in(X3,X1)
& ~ in(X3,X0) ) ) ) )
& ( ! [X3] :
( ( ( in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ~ in(X3,X1)
| in(X3,X0) ) )
| set_difference(X1,X0) != X2 ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X2,X1,X0] :
( set_difference(X1,X0) = X2
<=> ! [X3] :
( ( in(X3,X1)
& ~ in(X3,X0) )
<=> in(X3,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0,X2] :
( set_difference(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f262,plain,
in(sK9(set_difference(sK4,sK5),sK4),set_difference(sK4,sK5)),
inference(resolution,[],[f171,f198]) ).
fof(f198,plain,
! [X0,X1] :
( in(sK9(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU133+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n023.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 15:02:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (11574)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.48 % (11566)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.49 % (11566)First to succeed.
% 0.20/0.49 % (11574)Instruction limit reached!
% 0.20/0.49 % (11574)------------------------------
% 0.20/0.49 % (11574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (11574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (11574)Termination reason: Unknown
% 0.20/0.49 % (11574)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (11574)Memory used [KB]: 1535
% 0.20/0.49 % (11574)Time elapsed: 0.005 s
% 0.20/0.49 % (11574)Instructions burned: 3 (million)
% 0.20/0.49 % (11574)------------------------------
% 0.20/0.49 % (11574)------------------------------
% 0.20/0.49 % (11566)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (11566)------------------------------
% 0.20/0.49 % (11566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (11566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (11566)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (11566)Memory used [KB]: 6140
% 0.20/0.49 % (11566)Time elapsed: 0.072 s
% 0.20/0.49 % (11566)Instructions burned: 7 (million)
% 0.20/0.49 % (11566)------------------------------
% 0.20/0.49 % (11566)------------------------------
% 0.20/0.49 % (11555)Success in time 0.134 s
%------------------------------------------------------------------------------