TSTP Solution File: SEU132+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU132+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 : 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 18:32:03 EDT 2022
% Result : Theorem 0.20s 0.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 9 unt; 0 def)
% Number of atoms : 157 ( 13 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 193 ( 76 ~; 65 |; 39 &)
% ( 6 <=>; 7 =>; 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 : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 98 ( 82 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f102,plain,
$false,
inference(subsumption_resolution,[],[f101,f81]) ).
fof(f81,plain,
in(sK6(set_difference(sK3,sK5),set_difference(sK4,sK5)),sK3),
inference(resolution,[],[f68,f79]) ).
fof(f79,plain,
in(sK6(set_difference(sK3,sK5),set_difference(sK4,sK5)),set_difference(sK3,sK5)),
inference(resolution,[],[f66,f61]) ).
fof(f61,plain,
~ subset(set_difference(sK3,sK5),set_difference(sK4,sK5)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( subset(sK3,sK4)
& ~ subset(set_difference(sK3,sK5),set_difference(sK4,sK5)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f40,f41]) ).
fof(f41,plain,
( ? [X0,X1,X2] :
( subset(X0,X1)
& ~ subset(set_difference(X0,X2),set_difference(X1,X2)) )
=> ( subset(sK3,sK4)
& ~ subset(set_difference(sK3,sK5),set_difference(sK4,sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0,X1,X2] :
( subset(X0,X1)
& ~ subset(set_difference(X0,X2),set_difference(X1,X2)) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
? [X2,X0,X1] :
( subset(X2,X0)
& ~ subset(set_difference(X2,X1),set_difference(X0,X1)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X2,X0,X1] :
( subset(X2,X0)
=> subset(set_difference(X2,X1),set_difference(X0,X1)) ),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X1,X2,X0] :
( subset(X0,X1)
=> subset(set_difference(X0,X2),set_difference(X1,X2)) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X1,X2,X0] :
( subset(X0,X1)
=> subset(set_difference(X0,X2),set_difference(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_xboole_1) ).
fof(f66,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( in(sK6(X0,X1),X0)
& ~ in(sK6(X0,X1),X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f44,f45]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
=> ( in(sK6(X0,X1),X0)
& ~ in(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f68,plain,
! [X2,X1,X4] :
( ~ in(X4,set_difference(X1,X2))
| in(X4,X1) ),
inference(equality_resolution,[],[f50]) ).
fof(f50,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X0)
| set_difference(X1,X2) != X0 ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( set_difference(X1,X2) = X0
| ( ( ~ in(sK0(X0,X1,X2),X0)
| ~ in(sK0(X0,X1,X2),X1)
| in(sK0(X0,X1,X2),X2) )
& ( in(sK0(X0,X1,X2),X0)
| ( in(sK0(X0,X1,X2),X1)
& ~ in(sK0(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,[sK0])],[f30,f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| in(X3,X2) )
& ( in(X3,X0)
| ( in(X3,X1)
& ~ in(X3,X2) ) ) )
=> ( ( ~ in(sK0(X0,X1,X2),X0)
| ~ in(sK0(X0,X1,X2),X1)
| in(sK0(X0,X1,X2),X2) )
& ( in(sK0(X0,X1,X2),X0)
| ( in(sK0(X0,X1,X2),X1)
& ~ in(sK0(X0,X1,X2),X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,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,[],[f29]) ).
fof(f29,plain,
! [X0,X2,X1] :
( ( set_difference(X2,X1) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X2)
| in(X3,X1) )
& ( in(X3,X0)
| ( in(X3,X2)
& ~ in(X3,X1) ) ) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
& ~ in(X3,X1) )
| ~ in(X3,X0) )
& ( in(X3,X0)
| ~ in(X3,X2)
| in(X3,X1) ) )
| set_difference(X2,X1) != X0 ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X2,X1] :
( ( set_difference(X2,X1) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X2)
| in(X3,X1) )
& ( in(X3,X0)
| ( in(X3,X2)
& ~ in(X3,X1) ) ) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
& ~ in(X3,X1) )
| ~ in(X3,X0) )
& ( in(X3,X0)
| ~ in(X3,X2)
| in(X3,X1) ) )
| set_difference(X2,X1) != X0 ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X2,X1] :
( set_difference(X2,X1) = X0
<=> ! [X3] :
( ( in(X3,X2)
& ~ in(X3,X1) )
<=> in(X3,X0) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X1,X0] :
( ! [X3] :
( in(X3,X2)
<=> ( ~ in(X3,X1)
& in(X3,X0) ) )
<=> set_difference(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f101,plain,
~ in(sK6(set_difference(sK3,sK5),set_difference(sK4,sK5)),sK3),
inference(resolution,[],[f100,f88]) ).
fof(f88,plain,
! [X0] :
( in(X0,sK4)
| ~ in(X0,sK3) ),
inference(resolution,[],[f64,f62]) ).
fof(f62,plain,
subset(sK3,sK4),
inference(cnf_transformation,[],[f42]) ).
fof(f64,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| in(X3,X1)
| ~ in(X3,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f100,plain,
~ in(sK6(set_difference(sK3,sK5),set_difference(sK4,sK5)),sK4),
inference(subsumption_resolution,[],[f97,f85]) ).
fof(f85,plain,
~ in(sK6(set_difference(sK3,sK5),set_difference(sK4,sK5)),sK5),
inference(resolution,[],[f69,f79]) ).
fof(f69,plain,
! [X2,X1,X4] :
( ~ in(X4,set_difference(X1,X2))
| ~ in(X4,X2) ),
inference(equality_resolution,[],[f49]) ).
fof(f49,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X2)
| ~ in(X4,X0)
| set_difference(X1,X2) != X0 ),
inference(cnf_transformation,[],[f32]) ).
fof(f97,plain,
( ~ in(sK6(set_difference(sK3,sK5),set_difference(sK4,sK5)),sK4)
| in(sK6(set_difference(sK3,sK5),set_difference(sK4,sK5)),sK5) ),
inference(resolution,[],[f70,f78]) ).
fof(f78,plain,
~ in(sK6(set_difference(sK3,sK5),set_difference(sK4,sK5)),set_difference(sK4,sK5)),
inference(resolution,[],[f65,f61]) ).
fof(f65,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f70,plain,
! [X2,X1,X4] :
( in(X4,set_difference(X1,X2))
| ~ in(X4,X1)
| in(X4,X2) ),
inference(equality_resolution,[],[f48]) ).
fof(f48,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X1)
| in(X4,X2)
| set_difference(X1,X2) != X0 ),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU132+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % 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 14:42:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (12422)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57 % (12440)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)
% 0.20/0.57 % (12432)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)
% 0.20/0.57 % (12424)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)
% 0.20/0.58 TRYING [1]
% 0.20/0.58 % (12440)First to succeed.
% 0.20/0.59 % (12437)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.59 TRYING [2]
% 0.20/0.59 TRYING [3]
% 0.20/0.59 TRYING [4]
% 0.20/0.60 % (12440)Refutation found. Thanks to Tanya!
% 0.20/0.60 % SZS status Theorem for theBenchmark
% 0.20/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60 % (12440)------------------------------
% 0.20/0.60 % (12440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (12440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (12440)Termination reason: Refutation
% 0.20/0.60
% 0.20/0.60 % (12440)Memory used [KB]: 1023
% 0.20/0.60 % (12440)Time elapsed: 0.159 s
% 0.20/0.60 % (12440)Instructions burned: 3 (million)
% 0.20/0.60 % (12440)------------------------------
% 0.20/0.60 % (12440)------------------------------
% 0.20/0.60 % (12417)Success in time 0.236 s
%------------------------------------------------------------------------------