TSTP Solution File: SEU037+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU037+1 : 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 : n027.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 18:31:47 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 45 ( 8 unt; 0 def)
% Number of atoms : 199 ( 61 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 257 ( 103 ~; 92 |; 45 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 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 : 104 ( 88 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f799,plain,
$false,
inference(subsumption_resolution,[],[f795,f122]) ).
fof(f122,plain,
apply(sK2,sK0) != apply(relation_dom_restriction(sK2,sK1),sK0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( function(sK2)
& relation(sK2)
& apply(sK2,sK0) != apply(relation_dom_restriction(sK2,sK1),sK0)
& in(sK0,set_intersection2(relation_dom(sK2),sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f82,f83]) ).
fof(f83,plain,
( ? [X0,X1,X2] :
( function(X2)
& relation(X2)
& apply(relation_dom_restriction(X2,X1),X0) != apply(X2,X0)
& in(X0,set_intersection2(relation_dom(X2),X1)) )
=> ( function(sK2)
& relation(sK2)
& apply(sK2,sK0) != apply(relation_dom_restriction(sK2,sK1),sK0)
& in(sK0,set_intersection2(relation_dom(sK2),sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
? [X0,X1,X2] :
( function(X2)
& relation(X2)
& apply(relation_dom_restriction(X2,X1),X0) != apply(X2,X0)
& in(X0,set_intersection2(relation_dom(X2),X1)) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
? [X2,X0,X1] :
( function(X1)
& relation(X1)
& apply(relation_dom_restriction(X1,X0),X2) != apply(X1,X2)
& in(X2,set_intersection2(relation_dom(X1),X0)) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X2,X0,X1] :
( apply(relation_dom_restriction(X1,X0),X2) != apply(X1,X2)
& in(X2,set_intersection2(relation_dom(X1),X0))
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
~ ! [X2,X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( in(X2,set_intersection2(relation_dom(X1),X0))
=> apply(relation_dom_restriction(X1,X0),X2) = apply(X1,X2) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X0,X2,X1] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,set_intersection2(relation_dom(X2),X0))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X0,X2,X1] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,set_intersection2(relation_dom(X2),X0))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t71_funct_1) ).
fof(f795,plain,
apply(sK2,sK0) = apply(relation_dom_restriction(sK2,sK1),sK0),
inference(resolution,[],[f600,f297]) ).
fof(f297,plain,
in(sK0,relation_dom(relation_dom_restriction(sK2,sK1))),
inference(superposition,[],[f121,f285]) ).
fof(f285,plain,
! [X9] : relation_dom(relation_dom_restriction(sK2,X9)) = set_intersection2(relation_dom(sK2),X9),
inference(subsumption_resolution,[],[f270,f124]) ).
fof(f124,plain,
function(sK2),
inference(cnf_transformation,[],[f84]) ).
fof(f270,plain,
! [X9] :
( relation_dom(relation_dom_restriction(sK2,X9)) = set_intersection2(relation_dom(sK2),X9)
| ~ function(sK2) ),
inference(resolution,[],[f184,f123]) ).
fof(f123,plain,
relation(sK2),
inference(cnf_transformation,[],[f84]) ).
fof(f184,plain,
! [X2,X1] :
( ~ relation(X2)
| relation_dom(relation_dom_restriction(X2,X1)) = set_intersection2(relation_dom(X2),X1)
| ~ function(X2) ),
inference(subsumption_resolution,[],[f183,f137]) ).
fof(f137,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X1,X0))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_dom_restriction(X1,X0)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X0)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f183,plain,
! [X2,X1] :
( relation_dom(relation_dom_restriction(X2,X1)) = set_intersection2(relation_dom(X2),X1)
| ~ relation(X2)
| ~ relation(relation_dom_restriction(X2,X1))
| ~ function(X2) ),
inference(subsumption_resolution,[],[f180,f149]) ).
fof(f149,plain,
! [X0,X1] :
( function(relation_dom_restriction(X1,X0))
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X1,X0))
& relation(relation_dom_restriction(X1,X0)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( function(relation_dom_restriction(X0,X1))
& relation(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( 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(f180,plain,
! [X2,X1] :
( ~ function(relation_dom_restriction(X2,X1))
| ~ relation(X2)
| ~ relation(relation_dom_restriction(X2,X1))
| relation_dom(relation_dom_restriction(X2,X1)) = set_intersection2(relation_dom(X2),X1)
| ~ function(X2) ),
inference(equality_resolution,[],[f132]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ function(X0)
| relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
| relation_dom_restriction(X2,X1) != X0
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ function(X0)
| ! [X2] :
( ( ( relation_dom_restriction(X2,X1) = X0
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1)
| ( in(sK4(X0,X2),relation_dom(X0))
& apply(X0,sK4(X0,X2)) != apply(X2,sK4(X0,X2)) ) )
& ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X4] :
( ~ in(X4,relation_dom(X0))
| apply(X2,X4) = apply(X0,X4) ) )
| relation_dom_restriction(X2,X1) != X0 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f90,f91]) ).
fof(f91,plain,
! [X0,X2] :
( ? [X3] :
( in(X3,relation_dom(X0))
& apply(X2,X3) != apply(X0,X3) )
=> ( in(sK4(X0,X2),relation_dom(X0))
& apply(X0,sK4(X0,X2)) != apply(X2,sK4(X0,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1] :
( ~ function(X0)
| ! [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) ) )
& ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X4] :
( ~ in(X4,relation_dom(X0))
| apply(X2,X4) = apply(X0,X4) ) )
| relation_dom_restriction(X2,X1) != X0 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( ~ function(X1)
| ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( in(X3,relation_dom(X1))
& apply(X1,X3) != apply(X2,X3) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X1,X3) = apply(X2,X3) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X1,X0] :
( ~ function(X1)
| ! [X2] :
( ( ( relation_dom_restriction(X2,X0) = X1
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( in(X3,relation_dom(X1))
& apply(X1,X3) != apply(X2,X3) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X1,X3) = apply(X2,X3) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( ~ function(X1)
| ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X1,X3) = apply(X2,X3) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( ~ in(X3,relation_dom(X1))
| apply(X1,X3) = apply(X2,X3) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( relation_dom_restriction(X2,X0) = X1
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f121,plain,
in(sK0,set_intersection2(relation_dom(sK2),sK1)),
inference(cnf_transformation,[],[f84]) ).
fof(f600,plain,
! [X16,X17] :
( ~ in(X16,relation_dom(relation_dom_restriction(sK2,X17)))
| apply(relation_dom_restriction(sK2,X17),X16) = apply(sK2,X16) ),
inference(subsumption_resolution,[],[f571,f124]) ).
fof(f571,plain,
! [X16,X17] :
( apply(relation_dom_restriction(sK2,X17),X16) = apply(sK2,X16)
| ~ in(X16,relation_dom(relation_dom_restriction(sK2,X17)))
| ~ function(sK2) ),
inference(resolution,[],[f312,f123]) ).
fof(f312,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ in(X1,relation_dom(relation_dom_restriction(X0,X2)))
| ~ function(X0)
| apply(X0,X1) = apply(relation_dom_restriction(X0,X2),X1) ),
inference(duplicate_literal_removal,[],[f311]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ relation(X0)
| ~ function(X0)
| apply(X0,X1) = apply(relation_dom_restriction(X0,X2),X1)
| ~ in(X1,relation_dom(relation_dom_restriction(X0,X2))) ),
inference(resolution,[],[f182,f137]) ).
fof(f182,plain,
! [X2,X1,X4] :
( ~ relation(relation_dom_restriction(X2,X1))
| apply(X2,X4) = apply(relation_dom_restriction(X2,X1),X4)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X4,relation_dom(relation_dom_restriction(X2,X1))) ),
inference(subsumption_resolution,[],[f181,f149]) ).
fof(f181,plain,
! [X2,X1,X4] :
( ~ function(relation_dom_restriction(X2,X1))
| ~ function(X2)
| ~ relation(X2)
| apply(X2,X4) = apply(relation_dom_restriction(X2,X1),X4)
| ~ in(X4,relation_dom(relation_dom_restriction(X2,X1)))
| ~ relation(relation_dom_restriction(X2,X1)) ),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X2,X0,X1,X4] :
( ~ function(X0)
| ~ in(X4,relation_dom(X0))
| apply(X2,X4) = apply(X0,X4)
| relation_dom_restriction(X2,X1) != X0
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU037+1 : 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
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:52:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (8359)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.49 % (8355)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49 % (8355)Instruction limit reached!
% 0.19/0.49 % (8355)------------------------------
% 0.19/0.49 % (8355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (8355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (8355)Termination reason: Unknown
% 0.19/0.49 % (8355)Termination phase: Blocked clause elimination
% 0.19/0.49
% 0.19/0.49 % (8355)Memory used [KB]: 895
% 0.19/0.49 % (8355)Time elapsed: 0.003 s
% 0.19/0.49 % (8355)Instructions burned: 3 (million)
% 0.19/0.49 % (8355)------------------------------
% 0.19/0.49 % (8355)------------------------------
% 0.19/0.50 % (8358)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)
% 0.19/0.50 % (8349)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)
% 0.19/0.50 % (8351)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (8350)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (8360)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (8371)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (8361)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)
% 0.19/0.52 % (8352)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (8367)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)
% 0.19/0.52 % (8349)First to succeed.
% 0.19/0.52 % (8349)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (8349)------------------------------
% 0.19/0.52 % (8349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8349)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (8349)Memory used [KB]: 1279
% 0.19/0.52 % (8349)Time elapsed: 0.126 s
% 0.19/0.52 % (8349)Instructions burned: 30 (million)
% 0.19/0.52 % (8349)------------------------------
% 0.19/0.52 % (8349)------------------------------
% 0.19/0.52 % (8343)Success in time 0.168 s
%------------------------------------------------------------------------------