TSTP Solution File: SEU264+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU264+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 : n004.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 18:32:53 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 89 ( 33 ~; 23 |; 18 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 90 ( 74 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,plain,
$false,
inference(subsumption_resolution,[],[f148,f64]) ).
fof(f64,plain,
subset(sK5,sK2),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( subset(sK5,sK2)
& relation_of2_as_subset(sK4,sK3,sK5)
& ~ relation_of2_as_subset(sK4,sK3,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f48,f49]) ).
fof(f49,plain,
( ? [X0,X1,X2,X3] :
( subset(X3,X0)
& relation_of2_as_subset(X2,X1,X3)
& ~ relation_of2_as_subset(X2,X1,X0) )
=> ( subset(sK5,sK2)
& relation_of2_as_subset(sK4,sK3,sK5)
& ~ relation_of2_as_subset(sK4,sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0,X1,X2,X3] :
( subset(X3,X0)
& relation_of2_as_subset(X2,X1,X3)
& ~ relation_of2_as_subset(X2,X1,X0) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
? [X1,X0,X2,X3] :
( subset(X3,X1)
& relation_of2_as_subset(X2,X0,X3)
& ~ relation_of2_as_subset(X2,X0,X1) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
? [X1,X2,X3,X0] :
( ~ relation_of2_as_subset(X2,X0,X1)
& subset(X3,X1)
& relation_of2_as_subset(X2,X0,X3) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X1,X2,X3,X0] :
( relation_of2_as_subset(X2,X0,X3)
=> ( subset(X3,X1)
=> relation_of2_as_subset(X2,X0,X1) ) ),
inference(rectify,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X2,X1,X3,X0] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X2,X1,X3,X0] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f148,plain,
~ subset(sK5,sK2),
inference(resolution,[],[f146,f62]) ).
fof(f62,plain,
~ relation_of2_as_subset(sK4,sK3,sK2),
inference(cnf_transformation,[],[f50]) ).
fof(f146,plain,
! [X0] :
( relation_of2_as_subset(sK4,sK3,X0)
| ~ subset(sK5,X0) ),
inference(resolution,[],[f110,f63]) ).
fof(f63,plain,
relation_of2_as_subset(sK4,sK3,sK5),
inference(cnf_transformation,[],[f50]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(sK4,X0,X1)
| ~ subset(sK5,X2)
| relation_of2_as_subset(sK4,X0,X2) ),
inference(resolution,[],[f60,f91]) ).
fof(f91,plain,
! [X9] :
( subset(relation_rng(sK4),X9)
| ~ subset(sK5,X9) ),
inference(resolution,[],[f59,f84]) ).
fof(f84,plain,
subset(relation_rng(sK4),sK5),
inference(resolution,[],[f71,f63]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| subset(relation_rng(X2),X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X2,X0] :
( ( subset(relation_rng(X0),X2)
& subset(relation_dom(X0),X1) )
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X2,X1,X0] :
( relation_of2_as_subset(X0,X1,X2)
=> ( subset(relation_rng(X0),X2)
& subset(relation_dom(X0),X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ subset(X1,X0)
| subset(X1,X2)
| ~ subset(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ subset(X1,X0)
| subset(X1,X2)
| ~ subset(X0,X2) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X0,X2,X1] :
( ~ subset(X2,X0)
| subset(X2,X1)
| ~ subset(X0,X1) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X1,X0,X2] :
( subset(X2,X1)
| ~ subset(X2,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0,X2] :
( ( subset(X2,X0)
& subset(X0,X1) )
=> subset(X2,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X1,X2,X0] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( ~ subset(relation_rng(X3),X2)
| ~ relation_of2_as_subset(X3,X0,X1)
| relation_of2_as_subset(X3,X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X0,X1)
| relation_of2_as_subset(X3,X0,X2)
| ~ subset(relation_rng(X3),X2) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X0,X3,X1,X2] :
( ~ relation_of2_as_subset(X2,X0,X3)
| relation_of2_as_subset(X2,X0,X1)
| ~ subset(relation_rng(X2),X1) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X1,X2,X3,X0] :
( relation_of2_as_subset(X2,X0,X1)
| ~ subset(relation_rng(X2),X1)
| ~ relation_of2_as_subset(X2,X0,X3) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X2,X3,X0] :
( relation_of2_as_subset(X2,X0,X3)
=> ( subset(relation_rng(X2),X1)
=> relation_of2_as_subset(X2,X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X2,X1,X3,X0] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_relset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU264+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.14/0.35 % Computer : n004.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 14:57:04 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 % (7709)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.49 % (7725)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.49 % (7709)First to succeed.
% 0.21/0.49 % (7700)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.49 % (7709)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (7709)------------------------------
% 0.21/0.49 % (7709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (7709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (7709)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (7709)Memory used [KB]: 5500
% 0.21/0.49 % (7709)Time elapsed: 0.094 s
% 0.21/0.49 % (7709)Instructions burned: 4 (million)
% 0.21/0.49 % (7709)------------------------------
% 0.21/0.49 % (7709)------------------------------
% 0.21/0.49 % (7691)Success in time 0.135 s
%------------------------------------------------------------------------------