TSTP Solution File: SEU223+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU223+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 : n018.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 18:32:38 EDT 2022
% Result : Theorem 1.62s 0.58s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 7 unt; 0 def)
% Number of atoms : 189 ( 59 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 242 ( 93 ~; 81 |; 48 &)
% ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 66 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f401,plain,
$false,
inference(trivial_inequality_removal,[],[f400]) ).
fof(f400,plain,
apply(sK5,sK3) != apply(sK5,sK3),
inference(superposition,[],[f117,f398]) ).
fof(f398,plain,
apply(relation_dom_restriction(sK5,sK4),sK3) = apply(sK5,sK3),
inference(resolution,[],[f396,f119]) ).
fof(f119,plain,
relation(sK5),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( relation(sK5)
& function(sK5)
& apply(relation_dom_restriction(sK5,sK4),sK3) != apply(sK5,sK3)
& in(sK3,relation_dom(relation_dom_restriction(sK5,sK4))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f82,f83]) ).
fof(f83,plain,
( ? [X0,X1,X2] :
( relation(X2)
& function(X2)
& apply(X2,X0) != apply(relation_dom_restriction(X2,X1),X0)
& in(X0,relation_dom(relation_dom_restriction(X2,X1))) )
=> ( relation(sK5)
& function(sK5)
& apply(relation_dom_restriction(sK5,sK4),sK3) != apply(sK5,sK3)
& in(sK3,relation_dom(relation_dom_restriction(sK5,sK4))) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
? [X0,X1,X2] :
( relation(X2)
& function(X2)
& apply(X2,X0) != apply(relation_dom_restriction(X2,X1),X0)
& in(X0,relation_dom(relation_dom_restriction(X2,X1))) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
? [X2,X0,X1] :
( relation(X1)
& function(X1)
& apply(X1,X2) != apply(relation_dom_restriction(X1,X0),X2)
& in(X2,relation_dom(relation_dom_restriction(X1,X0))) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
? [X2,X0,X1] :
( apply(X1,X2) != apply(relation_dom_restriction(X1,X0),X2)
& in(X2,relation_dom(relation_dom_restriction(X1,X0)))
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
~ ! [X2,X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( in(X2,relation_dom(relation_dom_restriction(X1,X0)))
=> apply(X1,X2) = apply(relation_dom_restriction(X1,X0),X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X2,X1] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X2,X1] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_funct_1) ).
fof(f396,plain,
( ~ relation(sK5)
| apply(relation_dom_restriction(sK5,sK4),sK3) = apply(sK5,sK3) ),
inference(resolution,[],[f395,f118]) ).
fof(f118,plain,
function(sK5),
inference(cnf_transformation,[],[f84]) ).
fof(f395,plain,
( ~ function(sK5)
| apply(relation_dom_restriction(sK5,sK4),sK3) = apply(sK5,sK3)
| ~ relation(sK5) ),
inference(duplicate_literal_removal,[],[f393]) ).
fof(f393,plain,
( ~ relation(sK5)
| apply(relation_dom_restriction(sK5,sK4),sK3) = apply(sK5,sK3)
| ~ relation(sK5)
| ~ function(sK5) ),
inference(resolution,[],[f392,f136]) ).
fof(f136,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X1,X0] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f392,plain,
( ~ relation(relation_dom_restriction(sK5,sK4))
| ~ function(sK5)
| ~ relation(sK5)
| apply(relation_dom_restriction(sK5,sK4),sK3) = apply(sK5,sK3) ),
inference(duplicate_literal_removal,[],[f390]) ).
fof(f390,plain,
( ~ function(sK5)
| apply(relation_dom_restriction(sK5,sK4),sK3) = apply(sK5,sK3)
| ~ relation(relation_dom_restriction(sK5,sK4))
| ~ relation(sK5)
| ~ relation(sK5)
| ~ function(sK5) ),
inference(resolution,[],[f317,f152]) ).
fof(f152,plain,
! [X0,X1] :
( function(relation_dom_restriction(X1,X0))
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ relation(X1)
| ( function(relation_dom_restriction(X1,X0))
& relation(relation_dom_restriction(X1,X0)) )
| ~ function(X1) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( ~ relation(X0)
| ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f317,plain,
( ~ function(relation_dom_restriction(sK5,sK4))
| ~ function(sK5)
| ~ relation(relation_dom_restriction(sK5,sK4))
| apply(relation_dom_restriction(sK5,sK4),sK3) = apply(sK5,sK3)
| ~ relation(sK5) ),
inference(resolution,[],[f159,f116]) ).
fof(f116,plain,
in(sK3,relation_dom(relation_dom_restriction(sK5,sK4))),
inference(cnf_transformation,[],[f84]) ).
fof(f159,plain,
! [X2,X3,X1] :
( ~ in(X3,relation_dom(relation_dom_restriction(X2,X1)))
| apply(X2,X3) = apply(relation_dom_restriction(X2,X1),X3)
| ~ relation(relation_dom_restriction(X2,X1))
| ~ function(X2)
| ~ function(relation_dom_restriction(X2,X1))
| ~ relation(X2) ),
inference(equality_resolution,[],[f124]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( apply(X2,X3) = apply(X0,X3)
| ~ in(X3,relation_dom(X0))
| relation_dom_restriction(X2,X1) != X0
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2] :
( ( ( ( ! [X3] :
( apply(X2,X3) = apply(X0,X3)
| ~ in(X3,relation_dom(X0)) )
& relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| ( apply(X0,sK6(X0,X2)) != apply(X2,sK6(X0,X2))
& in(sK6(X0,X2),relation_dom(X0)) )
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f87,f88]) ).
fof(f88,plain,
! [X0,X2] :
( ? [X4] :
( apply(X0,X4) != apply(X2,X4)
& in(X4,relation_dom(X0)) )
=> ( apply(X0,sK6(X0,X2)) != apply(X2,sK6(X0,X2))
& in(sK6(X0,X2),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0,X1] :
( ! [X2] :
( ( ( ( ! [X3] :
( apply(X2,X3) = apply(X0,X3)
| ~ in(X3,relation_dom(X0)) )
& relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| ? [X4] :
( apply(X0,X4) != apply(X2,X4)
& in(X4,relation_dom(X0)) )
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( ( ( ( ! [X3] :
( apply(X2,X3) = apply(X0,X3)
| ~ in(X3,relation_dom(X0)) )
& relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| ? [X3] :
( apply(X2,X3) != apply(X0,X3)
& in(X3,relation_dom(X0)) )
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( ( ( ( ! [X3] :
( apply(X2,X3) = apply(X0,X3)
| ~ in(X3,relation_dom(X0)) )
& relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| ? [X3] :
( apply(X2,X3) != apply(X0,X3)
& in(X3,relation_dom(X0)) )
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ! [X2] :
( ( ( ! [X3] :
( apply(X2,X3) = apply(X0,X3)
| ~ in(X3,relation_dom(X0)) )
& relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
<=> relation_dom_restriction(X2,X1) = X0 )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ! [X2] :
( ( ( ! [X3] :
( apply(X2,X3) = apply(X0,X3)
| ~ in(X3,relation_dom(X0)) )
& relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
<=> relation_dom_restriction(X2,X1) = X0 )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( relation_dom_restriction(X2,X1) = X0
<=> ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X3] :
( in(X3,relation_dom(X0))
=> apply(X2,X3) = apply(X0,X3) ) ) ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( relation_dom_restriction(X2,X0) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f117,plain,
apply(relation_dom_restriction(sK5,sK4),sK3) != apply(sK5,sK3),
inference(cnf_transformation,[],[f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU223+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % 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 : n018.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 14:56:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (3481)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.55 % (3489)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.55 % (3472)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)
% 1.42/0.56 TRYING [1]
% 1.42/0.56 TRYING [2]
% 1.42/0.56 TRYING [3]
% 1.42/0.56 % (3481)First to succeed.
% 1.62/0.57 TRYING [1]
% 1.62/0.57 % (3483)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.62/0.57 % (3474)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.62/0.58 % (3481)Refutation found. Thanks to Tanya!
% 1.62/0.58 % SZS status Theorem for theBenchmark
% 1.62/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.58 % (3481)------------------------------
% 1.62/0.58 % (3481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58 % (3481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58 % (3481)Termination reason: Refutation
% 1.62/0.58
% 1.62/0.58 % (3481)Memory used [KB]: 1151
% 1.62/0.58 % (3481)Time elapsed: 0.132 s
% 1.62/0.58 % (3481)Instructions burned: 14 (million)
% 1.62/0.58 % (3481)------------------------------
% 1.62/0.58 % (3481)------------------------------
% 1.62/0.58 % (3471)Success in time 0.221 s
%------------------------------------------------------------------------------