TSTP Solution File: SEU133+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU133+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_sat --cores 0 -t %d %s
% Computer : n002.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 18:32:03 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 121 ( 10 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 152 ( 58 ~; 53 |; 33 &)
% ( 4 <=>; 4 =>; 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 : 68 ( 55 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,plain,
$false,
inference(subsumption_resolution,[],[f81,f58]) ).
fof(f58,plain,
~ subset(set_difference(sK3,sK2),sK3),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
~ subset(set_difference(sK3,sK2),sK3),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f36,f37]) ).
fof(f37,plain,
( ? [X0,X1] : ~ subset(set_difference(X1,X0),X1)
=> ~ subset(set_difference(sK3,sK2),sK3) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0,X1] : ~ subset(set_difference(X1,X0),X1),
inference(rectify,[],[f20]) ).
fof(f20,plain,
? [X1,X0] : ~ subset(set_difference(X0,X1),X0),
inference(ennf_transformation,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X0,X1] : subset(set_difference(X0,X1),X0),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X0,X1] : subset(set_difference(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(f81,plain,
subset(set_difference(sK3,sK2),sK3),
inference(resolution,[],[f78,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( in(sK0(X0,X1),X1)
& ~ in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| in(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) )
=> ( in(sK0(X0,X1),X1)
& ~ in(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f27,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,[],[f26]) ).
fof(f26,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,[],[f23]) ).
fof(f23,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/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f78,plain,
in(sK0(sK3,set_difference(sK3,sK2)),sK3),
inference(resolution,[],[f66,f72]) ).
fof(f72,plain,
in(sK0(sK3,set_difference(sK3,sK2)),set_difference(sK3,sK2)),
inference(resolution,[],[f50,f58]) ).
fof(f50,plain,
! [X0,X1] :
( subset(X1,X0)
| in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f66,plain,
! [X2,X1,X4] :
( ~ in(X4,set_difference(X2,X1))
| in(X4,X2) ),
inference(equality_resolution,[],[f53]) ).
fof(f53,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_difference(X2,X1) != X0 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( set_difference(X2,X1) = X0
| ( ( ~ in(sK1(X0,X1,X2),X0)
| in(sK1(X0,X1,X2),X1)
| ~ in(sK1(X0,X1,X2),X2) )
& ( in(sK1(X0,X1,X2),X0)
| ( ~ in(sK1(X0,X1,X2),X1)
& in(sK1(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(X2,X1) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f33,f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( in(X3,X0)
| ( ~ in(X3,X1)
& in(X3,X2) ) ) )
=> ( ( ~ in(sK1(X0,X1,X2),X0)
| in(sK1(X0,X1,X2),X1)
| ~ in(sK1(X0,X1,X2),X2) )
& ( in(sK1(X0,X1,X2),X0)
| ( ~ in(sK1(X0,X1,X2),X1)
& in(sK1(X0,X1,X2),X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( set_difference(X2,X1) = 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(X2,X1) != X0 ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X2,X1,X0] :
( ( set_difference(X0,X1) = 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(X0,X1) != X2 ) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X2,X1,X0] :
( ( set_difference(X0,X1) = 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(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X2,X1,X0] :
( set_difference(X0,X1) = X2
<=> ! [X3] :
( ( ~ in(X3,X1)
& in(X3,X0) )
<=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU133+1 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:53:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (14030)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52 % (14038)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)
% 0.21/0.52 % (14038)First to succeed.
% 0.21/0.52 % (14035)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.53 % (14018)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 % (14043)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.53 TRYING [2]
% 0.21/0.53 % (14038)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (14038)------------------------------
% 0.21/0.53 % (14038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (14038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (14038)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (14038)Memory used [KB]: 5500
% 0.21/0.53 % (14038)Time elapsed: 0.102 s
% 0.21/0.53 % (14038)Instructions burned: 2 (million)
% 0.21/0.53 % (14038)------------------------------
% 0.21/0.53 % (14038)------------------------------
% 0.21/0.53 % (14017)Success in time 0.168 s
%------------------------------------------------------------------------------