TSTP Solution File: SEU223+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU223+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : n005.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 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 15 unt; 0 def)
% Number of atoms : 200 ( 65 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 244 ( 93 ~; 81 |; 50 &)
% ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 88 ( 72 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f533,plain,
$false,
inference(subsumption_resolution,[],[f532,f194]) ).
fof(f194,plain,
sF18 != sF17,
inference(definition_folding,[],[f133,f193,f192,f189]) ).
fof(f189,plain,
sF15 = relation_dom_restriction(sK1,sK2),
introduced(function_definition,[]) ).
fof(f192,plain,
apply(sF15,sK3) = sF17,
introduced(function_definition,[]) ).
fof(f193,plain,
sF18 = apply(sK1,sK3),
introduced(function_definition,[]) ).
fof(f133,plain,
apply(relation_dom_restriction(sK1,sK2),sK3) != apply(sK1,sK3),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( relation(sK1)
& in(sK3,relation_dom(relation_dom_restriction(sK1,sK2)))
& function(sK1)
& apply(relation_dom_restriction(sK1,sK2),sK3) != apply(sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f88,f89]) ).
fof(f89,plain,
( ? [X0,X1,X2] :
( relation(X0)
& in(X2,relation_dom(relation_dom_restriction(X0,X1)))
& function(X0)
& apply(relation_dom_restriction(X0,X1),X2) != apply(X0,X2) )
=> ( relation(sK1)
& in(sK3,relation_dom(relation_dom_restriction(sK1,sK2)))
& function(sK1)
& apply(relation_dom_restriction(sK1,sK2),sK3) != apply(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
? [X0,X1,X2] :
( relation(X0)
& in(X2,relation_dom(relation_dom_restriction(X0,X1)))
& function(X0)
& apply(relation_dom_restriction(X0,X1),X2) != apply(X0,X2) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
? [X1,X2,X0] :
( relation(X1)
& in(X0,relation_dom(relation_dom_restriction(X1,X2)))
& function(X1)
& apply(relation_dom_restriction(X1,X2),X0) != apply(X1,X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X1,X2),X0) != apply(X1,X0)
& in(X0,relation_dom(relation_dom_restriction(X1,X2)))
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
~ ! [X0,X1,X2] :
( ( relation(X1)
& function(X1) )
=> ( in(X0,relation_dom(relation_dom_restriction(X1,X2)))
=> apply(relation_dom_restriction(X1,X2),X0) = apply(X1,X0) ) ),
inference(rectify,[],[f39]) ).
fof(f39,negated_conjecture,
~ ! [X1,X2,X0] :
( ( 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,[],[f38]) ).
fof(f38,conjecture,
! [X1,X2,X0] :
( ( 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/sandbox2/benchmark/theBenchmark.p',t70_funct_1) ).
fof(f532,plain,
sF18 = sF17,
inference(forward_demodulation,[],[f531,f192]) ).
fof(f531,plain,
sF18 = apply(sF15,sK3),
inference(forward_demodulation,[],[f528,f193]) ).
fof(f528,plain,
apply(sF15,sK3) = apply(sK1,sK3),
inference(resolution,[],[f445,f191]) ).
fof(f191,plain,
in(sK3,sF16),
inference(definition_folding,[],[f135,f190,f189]) ).
fof(f190,plain,
sF16 = relation_dom(sF15),
introduced(function_definition,[]) ).
fof(f135,plain,
in(sK3,relation_dom(relation_dom_restriction(sK1,sK2))),
inference(cnf_transformation,[],[f90]) ).
fof(f445,plain,
! [X0] :
( ~ in(X0,sF16)
| apply(sF15,X0) = apply(sK1,X0) ),
inference(forward_demodulation,[],[f444,f190]) ).
fof(f444,plain,
! [X0] :
( ~ in(X0,relation_dom(sF15))
| apply(sF15,X0) = apply(sK1,X0) ),
inference(subsumption_resolution,[],[f443,f136]) ).
fof(f136,plain,
relation(sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f443,plain,
! [X0] :
( ~ in(X0,relation_dom(sF15))
| apply(sF15,X0) = apply(sK1,X0)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f442,f338]) ).
fof(f338,plain,
function(sF15),
inference(subsumption_resolution,[],[f337,f136]) ).
fof(f337,plain,
( function(sF15)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f336,f134]) ).
fof(f134,plain,
function(sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f336,plain,
( ~ function(sK1)
| ~ relation(sK1)
| function(sF15) ),
inference(superposition,[],[f168,f189]) ).
fof(f168,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ( function(relation_dom_restriction(X1,X0))
& relation(relation_dom_restriction(X1,X0)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X1,X0))
& relation(relation_dom_restriction(X1,X0)) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( function(relation_dom_restriction(X1,X0))
& relation(relation_dom_restriction(X1,X0)) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X1,X0] :
( ( function(X0)
& relation(X0) )
=> ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f442,plain,
! [X0] :
( apply(sF15,X0) = apply(sK1,X0)
| ~ in(X0,relation_dom(sF15))
| ~ function(sF15)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f440,f134]) ).
fof(f440,plain,
! [X0] :
( apply(sF15,X0) = apply(sK1,X0)
| ~ function(sK1)
| ~ in(X0,relation_dom(sF15))
| ~ relation(sK1)
| ~ function(sF15) ),
inference(superposition,[],[f195,f189]) ).
fof(f195,plain,
! [X2,X3,X1] :
( ~ in(X3,relation_dom(relation_dom_restriction(X2,X1)))
| ~ relation(X2)
| ~ function(X2)
| ~ function(relation_dom_restriction(X2,X1))
| apply(X2,X3) = apply(relation_dom_restriction(X2,X1),X3) ),
inference(subsumption_resolution,[],[f187,f167]) ).
fof(f167,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f187,plain,
! [X2,X3,X1] :
( ~ relation(relation_dom_restriction(X2,X1))
| ~ function(relation_dom_restriction(X2,X1))
| ~ relation(X2)
| apply(X2,X3) = apply(relation_dom_restriction(X2,X1),X3)
| ~ function(X2)
| ~ in(X3,relation_dom(relation_dom_restriction(X2,X1))) ),
inference(equality_resolution,[],[f142]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( ~ function(X2)
| ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3)
| relation_dom_restriction(X2,X1) != X0
| ~ relation(X2)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( ~ function(X2)
| ( ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) )
& relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| ( in(sK4(X0,X2),relation_dom(X0))
& apply(X2,sK4(X0,X2)) != apply(X0,sK4(X0,X2)) )
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1) ) )
| ~ relation(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f93,f94]) ).
fof(f94,plain,
! [X0,X2] :
( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X2,X4) != apply(X0,X4) )
=> ( in(sK4(X0,X2),relation_dom(X0))
& apply(X2,sK4(X0,X2)) != apply(X0,sK4(X0,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1] :
( ! [X2] :
( ~ function(X2)
| ( ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) )
& relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| ? [X4] :
( in(X4,relation_dom(X0))
& apply(X2,X4) != apply(X0,X4) )
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1) ) )
| ~ relation(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2] :
( ~ function(X2)
| ( ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) )
& relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| ? [X3] :
( in(X3,relation_dom(X0))
& apply(X2,X3) != apply(X0,X3) )
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1) ) )
| ~ relation(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X2] :
( ~ function(X2)
| ( ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) )
& relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| ? [X3] :
( in(X3,relation_dom(X0))
& apply(X2,X3) != apply(X0,X3) )
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1) ) )
| ~ relation(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ! [X2] :
( ~ function(X2)
| ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) )
& relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
<=> relation_dom_restriction(X2,X1) = X0 )
| ~ relation(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ! [X2] :
( ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) )
& relation_dom(X0) = set_intersection2(relation_dom(X2),X1) )
<=> relation_dom_restriction(X2,X1) = X0 )
| ~ relation(X2)
| ~ function(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X3] :
( in(X3,relation_dom(X0))
=> apply(X2,X3) = apply(X0,X3) ) )
<=> relation_dom_restriction(X2,X1) = X0 ) ) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
<=> relation_dom_restriction(X2,X0) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funct_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU223+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:52:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (29149)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.46 % (29140)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.47 % (29149)First to succeed.
% 0.19/0.49 % (29149)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (29149)------------------------------
% 0.19/0.49 % (29149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (29149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (29149)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (29149)Memory used [KB]: 5628
% 0.19/0.49 % (29149)Time elapsed: 0.084 s
% 0.19/0.49 % (29149)Instructions burned: 13 (million)
% 0.19/0.49 % (29149)------------------------------
% 0.19/0.49 % (29149)------------------------------
% 0.19/0.49 % (29123)Success in time 0.141 s
%------------------------------------------------------------------------------