TSTP Solution File: SWV232+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV232+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n028.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 18:44:34 EDT 2022
% Result : Theorem 1.60s 0.58s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 249 ( 184 equ)
% Maximal formula atoms : 46 ( 19 avg)
% Number of connectives : 369 ( 133 ~; 60 |; 163 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 13 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 28 ( 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f224,plain,
$false,
inference(trivial_inequality_removal,[],[f215]) ).
fof(f215,plain,
( sK0 != sK0
| sK1 != sK1 ),
inference(definition_unfolding,[],[f165,f177,f176]) ).
fof(f176,plain,
n2 = sK1,
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( n0 != sK1
| n1 != sK0 )
& n0 != a_select2(rho,n1)
& n1 = sK0
& n2 = sK1
& leq(n0,sK1)
& leq(sK0,n2)
& ( n1 != sK0
| n1 != sK1 )
& ( n2 != sK1
| n2 != sK0 )
& ( n0 != sK1
| n2 != sK0 )
& n0 = sK0
& n1 = sK1
& ( n0 != sK0
| n2 != sK1 )
& ( n2 != sK0
| n1 != sK1 )
& leq(n0,sK0)
& ( n1 != sK0
| n2 != sK1 )
& leq(sK1,n2)
& ! [X2,X3] :
( ~ leq(n0,X3)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f123,f124]) ).
fof(f124,plain,
( ? [X0,X1] :
( ( n0 != X1
| n1 != X0 )
& n0 != a_select2(rho,n1)
& n1 = X0
& n2 = X1
& leq(n0,X1)
& leq(X0,n2)
& ( n1 != X0
| n1 != X1 )
& ( n2 != X1
| n2 != X0 )
& ( n0 != X1
| n2 != X0 )
& n0 = X0
& n1 = X1
& ( n0 != X0
| n2 != X1 )
& ( n2 != X0
| n1 != X1 )
& leq(n0,X0)
& ( n1 != X0
| n2 != X1 )
& leq(X1,n2) )
=> ( ( n0 != sK1
| n1 != sK0 )
& n0 != a_select2(rho,n1)
& n1 = sK0
& n2 = sK1
& leq(n0,sK1)
& leq(sK0,n2)
& ( n1 != sK0
| n1 != sK1 )
& ( n2 != sK1
| n2 != sK0 )
& ( n0 != sK1
| n2 != sK0 )
& n0 = sK0
& n1 = sK1
& ( n0 != sK0
| n2 != sK1 )
& ( n2 != sK0
| n1 != sK1 )
& leq(n0,sK0)
& ( n1 != sK0
| n2 != sK1 )
& leq(sK1,n2) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ? [X0,X1] :
( ( n0 != X1
| n1 != X0 )
& n0 != a_select2(rho,n1)
& n1 = X0
& n2 = X1
& leq(n0,X1)
& leq(X0,n2)
& ( n1 != X0
| n1 != X1 )
& ( n2 != X1
| n2 != X0 )
& ( n0 != X1
| n2 != X0 )
& n0 = X0
& n1 = X1
& ( n0 != X0
| n2 != X1 )
& ( n2 != X0
| n1 != X1 )
& leq(n0,X0)
& ( n1 != X0
| n2 != X1 )
& leq(X1,n2) )
& ! [X2,X3] :
( ~ leq(n0,X3)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3) ) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
( ? [X3,X2] :
( ( n0 != X2
| n1 != X3 )
& n0 != a_select2(rho,n1)
& n1 = X3
& n2 = X2
& leq(n0,X2)
& leq(X3,n2)
& ( n1 != X3
| n1 != X2 )
& ( n2 != X2
| n2 != X3 )
& ( n0 != X2
| n2 != X3 )
& n0 = X3
& n1 = X2
& ( n0 != X3
| n2 != X2 )
& ( n2 != X3
| n1 != X2 )
& leq(n0,X3)
& ( n1 != X3
| n2 != X2 )
& leq(X2,n2) )
& ! [X0,X1] :
( ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X1,X0) = a_select3(q_ds1_filter,X0,X1) ) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
( ? [X3,X2] :
( n0 != a_select2(rho,n1)
& n0 = X3
& n1 = X2
& n1 = X3
& ( n2 != X2
| n2 != X3 )
& ( n0 != X2
| n1 != X3 )
& ( n1 != X3
| n1 != X2 )
& ( n0 != X3
| n2 != X2 )
& ( n1 != X3
| n2 != X2 )
& n2 = X2
& ( n2 != X3
| n1 != X2 )
& ( n0 != X2
| n2 != X3 )
& leq(n0,X2)
& leq(n0,X3)
& leq(X3,n2)
& leq(X2,n2) )
& ! [X1,X0] :
( a_select3(q_ds1_filter,X1,X0) = a_select3(q_ds1_filter,X0,X1)
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(n0,X0) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ! [X1,X0] :
( ( leq(X1,n5)
& leq(n0,X1)
& leq(X0,n5)
& leq(n0,X0) )
=> a_select3(q_ds1_filter,X1,X0) = a_select3(q_ds1_filter,X0,X1) )
=> ! [X3,X2] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X3,n2)
& leq(X2,n2) )
=> ( ( n0 = X3
& n1 = X2
& n1 = X3
& ~ ( n2 = X2
& n2 = X3 )
& ~ ( n0 = X2
& n1 = X3 )
& ~ ( n1 = X3
& n1 = X2 )
& ~ ( n0 = X3
& n2 = X2 )
& ~ ( n2 = X2
& n1 = X3 )
& n2 = X2
& ~ ( n1 = X2
& n2 = X3 )
& ~ ( n2 = X3
& n0 = X2 ) )
=> n0 = a_select2(rho,n1) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ! [X17,X13] :
( ( leq(n0,X17)
& leq(X13,n5)
& leq(n0,X13)
& leq(X17,n5) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
=> ! [X3,X19] :
( ( leq(n0,X19)
& leq(X3,n2)
& leq(n0,X3)
& leq(X19,n2) )
=> ( ( ~ ( n1 = X19
& n1 = X3 )
& n2 = X3
& ~ ( n2 = X3
& n1 = X19 )
& ~ ( n2 = X3
& n0 = X19 )
& ~ ( n1 = X19
& n0 = X3 )
& n1 = X3
& n1 = X19
& ~ ( n2 = X3
& n2 = X19 )
& n0 = X19
& ~ ( n1 = X3
& n2 = X19 )
& ~ ( n2 = X19
& n0 = X3 ) )
=> n0 = a_select2(rho,n1) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ! [X17,X13] :
( ( leq(n0,X17)
& leq(X13,n5)
& leq(n0,X13)
& leq(X17,n5) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
=> ! [X3,X19] :
( ( leq(n0,X19)
& leq(X3,n2)
& leq(n0,X3)
& leq(X19,n2) )
=> ( ( ~ ( n1 = X19
& n1 = X3 )
& n2 = X3
& ~ ( n2 = X3
& n1 = X19 )
& ~ ( n2 = X3
& n0 = X19 )
& ~ ( n1 = X19
& n0 = X3 )
& n1 = X3
& n1 = X19
& ~ ( n2 = X3
& n2 = X19 )
& n0 = X19
& ~ ( n1 = X3
& n2 = X19 )
& ~ ( n2 = X19
& n0 = X3 ) )
=> n0 = a_select2(rho,n1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0841) ).
fof(f177,plain,
n1 = sK0,
inference(cnf_transformation,[],[f125]) ).
fof(f165,plain,
( n1 != sK0
| n2 != sK1 ),
inference(cnf_transformation,[],[f125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV232+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n028.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 19:17:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (8666)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.57 % (8674)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.60/0.58 % (8666)First to succeed.
% 1.60/0.58 % (8666)Refutation found. Thanks to Tanya!
% 1.60/0.58 % SZS status Theorem for theBenchmark
% 1.60/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.58 % (8666)------------------------------
% 1.60/0.58 % (8666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.58 % (8666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.58 % (8666)Termination reason: Refutation
% 1.60/0.58
% 1.60/0.58 % (8666)Memory used [KB]: 6012
% 1.60/0.58 % (8666)Time elapsed: 0.006 s
% 1.60/0.58 % (8666)Instructions burned: 3 (million)
% 1.60/0.58 % (8666)------------------------------
% 1.60/0.58 % (8666)------------------------------
% 1.60/0.58 % (8661)Success in time 0.225 s
%------------------------------------------------------------------------------