TSTP Solution File: MGT052+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT052+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 17:51:11 EDT 2022
% Result : Theorem 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 23 ~; 13 |; 5 &)
% ( 6 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 39 ( 33 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,plain,
$false,
inference(subsumption_resolution,[],[f43,f41]) ).
fof(f41,plain,
is_aligned(sK1,sK0),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f40,plain,
( is_aligned(sK1,sK0)
| is_aligned(sK1,sK0) ),
inference(resolution,[],[f29,f31]) ).
fof(f31,plain,
dissimilar(sK1,sK0,sK0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
dissimilar(sK1,sK0,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f22,f23]) ).
fof(f23,plain,
( ? [X0,X1] : dissimilar(X1,X0,X0)
=> dissimilar(sK1,sK0,sK0) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0,X1] : dissimilar(X1,X0,X0),
inference(rectify,[],[f15]) ).
fof(f15,plain,
? [X1,X0] : dissimilar(X0,X1,X1),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ! [X0,X1] : ~ dissimilar(X0,X1,X1),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X4] : ~ dissimilar(X0,X4,X4),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X4] : ~ dissimilar(X0,X4,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background_assumption_1) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ dissimilar(X2,X1,X0)
| is_aligned(X2,X0)
| is_aligned(X2,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ dissimilar(X2,X1,X0)
| ( ( ~ is_aligned(X2,X0)
| ~ is_aligned(X2,X1) )
& ( is_aligned(X2,X0)
| is_aligned(X2,X1) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X2,X1,X0] :
( ~ dissimilar(X0,X1,X2)
| ( ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) ) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X2,X1,X0] :
( ~ dissimilar(X0,X1,X2)
| ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
=> ~ ( is_aligned(X0,X2)
<=> is_aligned(X0,X1) ) ),
inference(pure_predicate_removal,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
=> ( organization(X0)
& ~ ( is_aligned(X0,X2)
<=> is_aligned(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f12,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ~ ( is_aligned(X0,X2)
<=> is_aligned(X0,X1) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X3,X4] :
( dissimilar(X0,X3,X4)
<=> ( organization(X0)
& ~ ( is_aligned(X0,X4)
<=> is_aligned(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(f43,plain,
~ is_aligned(sK1,sK0),
inference(duplicate_literal_removal,[],[f42]) ).
fof(f42,plain,
( ~ is_aligned(sK1,sK0)
| ~ is_aligned(sK1,sK0) ),
inference(resolution,[],[f30,f31]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ dissimilar(X2,X1,X0)
| ~ is_aligned(X2,X0)
| ~ is_aligned(X2,X1) ),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT052+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 03:18:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.48 % (18866)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.48 % (18866)First to succeed.
% 0.21/0.48 % (18866)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Theorem for theBenchmark
% 0.21/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48 % (18866)------------------------------
% 0.21/0.48 % (18866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.48 % (18866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.48 % (18866)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (18866)Memory used [KB]: 5884
% 0.21/0.48 % (18866)Time elapsed: 0.089 s
% 0.21/0.48 % (18866)Instructions burned: 1 (million)
% 0.21/0.48 % (18866)------------------------------
% 0.21/0.48 % (18866)------------------------------
% 0.21/0.48 % (18848)Success in time 0.131 s
%------------------------------------------------------------------------------