TSTP Solution File: SWV231+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV231+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 : n016.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 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 392 ( 299 equ)
% Maximal formula atoms : 70 ( 30 avg)
% Number of connectives : 618 ( 239 ~; 112 |; 251 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 17 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 42 ( 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f281,plain,
$false,
inference(trivial_inequality_removal,[],[f245]) ).
fof(f245,plain,
( sK1 != sK1
| sK0 != sK0 ),
inference(definition_unfolding,[],[f180,f182,f183]) ).
fof(f183,plain,
n4 = sK1,
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,n2)
| a_select3(r_ds1_filter,X1,X0) = a_select3(r_ds1_filter,X0,X1)
| ~ leq(n0,X1) )
& ! [X2,X3] :
( ~ leq(n0,X2)
| ~ leq(X2,n5)
| a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3)
| ~ leq(X3,n5)
| ~ leq(n0,X3) )
& ( n4 != sK0
| n1 != sK1 )
& leq(n0,sK1)
& ( n5 != sK0
| n5 != sK1 )
& n4 = sK1
& n5 = sK0
& ( n4 != sK0
| n0 != sK1 )
& ( n5 != sK0
| n4 != sK1 )
& n5 = sK1
& ( n5 != sK0
| n0 != sK1 )
& ( n5 != sK0
| n3 != sK1 )
& ( n3 != sK1
| n4 != sK0 )
& leq(sK0,n5)
& ( n5 != sK0
| n1 != sK1 )
& leq(n0,sK0)
& n3 = sK0
& ( n4 != sK0
| n5 != sK1 )
& n0 != a_select2(xinit_noise,n5)
& leq(sK1,n5)
& ( n4 != sK0
| n2 != sK1 )
& ( n2 != sK1
| n5 != sK0 )
& ( n3 != sK0
| n5 != sK1 )
& ( n4 != sK1
| n4 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f127,f128]) ).
fof(f128,plain,
( ? [X4,X5] :
( ( n4 != X4
| n1 != X5 )
& leq(n0,X5)
& ( n5 != X4
| n5 != X5 )
& n4 = X5
& n5 = X4
& ( n4 != X4
| n0 != X5 )
& ( n5 != X4
| n4 != X5 )
& n5 = X5
& ( n5 != X4
| n0 != X5 )
& ( n5 != X4
| n3 != X5 )
& ( n3 != X5
| n4 != X4 )
& leq(X4,n5)
& ( n5 != X4
| n1 != X5 )
& leq(n0,X4)
& n3 = X4
& ( n4 != X4
| n5 != X5 )
& n0 != a_select2(xinit_noise,n5)
& leq(X5,n5)
& ( n4 != X4
| n2 != X5 )
& ( n2 != X5
| n5 != X4 )
& ( n3 != X4
| n5 != X5 )
& ( n4 != X5
| n4 != X4 ) )
=> ( ( n4 != sK0
| n1 != sK1 )
& leq(n0,sK1)
& ( n5 != sK0
| n5 != sK1 )
& n4 = sK1
& n5 = sK0
& ( n4 != sK0
| n0 != sK1 )
& ( n5 != sK0
| n4 != sK1 )
& n5 = sK1
& ( n5 != sK0
| n0 != sK1 )
& ( n5 != sK0
| n3 != sK1 )
& ( n3 != sK1
| n4 != sK0 )
& leq(sK0,n5)
& ( n5 != sK0
| n1 != sK1 )
& leq(n0,sK0)
& n3 = sK0
& ( n4 != sK0
| n5 != sK1 )
& n0 != a_select2(xinit_noise,n5)
& leq(sK1,n5)
& ( n4 != sK0
| n2 != sK1 )
& ( n2 != sK1
| n5 != sK0 )
& ( n3 != sK0
| n5 != sK1 )
& ( n4 != sK1
| n4 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,n2)
| a_select3(r_ds1_filter,X1,X0) = a_select3(r_ds1_filter,X0,X1)
| ~ leq(n0,X1) )
& ! [X2,X3] :
( ~ leq(n0,X2)
| ~ leq(X2,n5)
| a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3)
| ~ leq(X3,n5)
| ~ leq(n0,X3) )
& ? [X4,X5] :
( ( n4 != X4
| n1 != X5 )
& leq(n0,X5)
& ( n5 != X4
| n5 != X5 )
& n4 = X5
& n5 = X4
& ( n4 != X4
| n0 != X5 )
& ( n5 != X4
| n4 != X5 )
& n5 = X5
& ( n5 != X4
| n0 != X5 )
& ( n5 != X4
| n3 != X5 )
& ( n3 != X5
| n4 != X4 )
& leq(X4,n5)
& ( n5 != X4
| n1 != X5 )
& leq(n0,X4)
& n3 = X4
& ( n4 != X4
| n5 != X5 )
& n0 != a_select2(xinit_noise,n5)
& leq(X5,n5)
& ( n4 != X4
| n2 != X5 )
& ( n2 != X5
| n5 != X4 )
& ( n3 != X4
| n5 != X5 )
& ( n4 != X5
| n4 != X4 ) ) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
( ! [X3,X2] :
( ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,n2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2) )
& ! [X1,X0] :
( ~ leq(n0,X1)
| ~ leq(X1,n5)
| a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
& ? [X4,X5] :
( ( n4 != X4
| n1 != X5 )
& leq(n0,X5)
& ( n5 != X4
| n5 != X5 )
& n4 = X5
& n5 = X4
& ( n4 != X4
| n0 != X5 )
& ( n5 != X4
| n4 != X5 )
& n5 = X5
& ( n5 != X4
| n0 != X5 )
& ( n5 != X4
| n3 != X5 )
& ( n3 != X5
| n4 != X4 )
& leq(X4,n5)
& ( n5 != X4
| n1 != X5 )
& leq(n0,X4)
& n3 = X4
& ( n4 != X4
| n5 != X5 )
& n0 != a_select2(xinit_noise,n5)
& leq(X5,n5)
& ( n4 != X4
| n2 != X5 )
& ( n2 != X5
| n5 != X4 )
& ( n3 != X4
| n5 != X5 )
& ( n4 != X5
| n4 != X4 ) ) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
( ? [X5,X4] :
( n0 != a_select2(xinit_noise,n5)
& ( n5 != X4
| n3 != X5 )
& ( n2 != X5
| n5 != X4 )
& n3 = X4
& ( n5 != X4
| n0 != X5 )
& ( n4 != X4
| n2 != X5 )
& n4 = X5
& n5 = X5
& ( n3 != X5
| n4 != X4 )
& ( n3 != X4
| n5 != X5 )
& ( n4 != X4
| n1 != X5 )
& ( n4 != X4
| n5 != X5 )
& ( n5 != X4
| n1 != X5 )
& n5 = X4
& ( n4 != X5
| n4 != X4 )
& ( n4 != X4
| n0 != X5 )
& ( n5 != X4
| n4 != X5 )
& ( n5 != X4
| n5 != X5 )
& leq(n0,X4)
& leq(X4,n5)
& leq(X5,n5)
& leq(n0,X5) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,n2) )
& ! [X1,X0] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(n0,X1) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ( ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,n2) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X1,X0] :
( ( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X0)
& leq(n0,X1) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) ) )
=> ! [X5,X4] :
( ( leq(n0,X4)
& leq(X4,n5)
& leq(X5,n5)
& leq(n0,X5) )
=> ( ( ~ ( n3 = X5
& n5 = X4 )
& ~ ( n2 = X5
& n5 = X4 )
& n3 = X4
& ~ ( n0 = X5
& n5 = X4 )
& ~ ( n4 = X4
& n2 = X5 )
& n4 = X5
& n5 = X5
& ~ ( n4 = X4
& n3 = X5 )
& ~ ( n3 = X4
& n5 = X5 )
& ~ ( n4 = X4
& n1 = X5 )
& ~ ( n5 = X5
& n4 = X4 )
& ~ ( n1 = X5
& n5 = X4 )
& n5 = X4
& ~ ( n4 = X5
& n4 = X4 )
& ~ ( n0 = X5
& n4 = X4 )
& ~ ( n4 = X5
& n5 = X4 )
& ~ ( n5 = X5
& n5 = X4 ) )
=> n0 = a_select2(xinit_noise,n5) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X17,X13] :
( ( leq(X13,n5)
& leq(n0,X17)
& leq(n0,X13)
& leq(X17,n5) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& ! [X3,X19] :
( ( leq(X19,n2)
& leq(n0,X19)
& leq(n0,X3)
& leq(X3,n2) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) ) )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( n5 = X20
& ~ ( n5 = X21
& n3 = X20 )
& n5 = X21
& ~ ( n4 = X21
& n4 = X20 )
& ~ ( n1 = X21
& n5 = X20 )
& ~ ( n5 = X21
& n4 = X20 )
& ~ ( n2 = X21
& n5 = X20 )
& ~ ( n3 = X21
& n5 = X20 )
& ~ ( n4 = X21
& n5 = X20 )
& n4 = X21
& ~ ( n1 = X21
& n4 = X20 )
& n3 = X20
& ~ ( n2 = X21
& n4 = X20 )
& ~ ( n4 = X20
& n0 = X21 )
& ~ ( n5 = X20
& n5 = X21 )
& ~ ( n4 = X20
& n3 = X21 )
& ~ ( n0 = X21
& n5 = X20 ) )
=> n0 = a_select2(xinit_noise,n5) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X17,X13] :
( ( leq(X13,n5)
& leq(n0,X17)
& leq(n0,X13)
& leq(X17,n5) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& ! [X3,X19] :
( ( leq(X19,n2)
& leq(n0,X19)
& leq(n0,X3)
& leq(X3,n2) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) ) )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( n5 = X20
& ~ ( n5 = X21
& n3 = X20 )
& n5 = X21
& ~ ( n4 = X21
& n4 = X20 )
& ~ ( n1 = X21
& n5 = X20 )
& ~ ( n5 = X21
& n4 = X20 )
& ~ ( n2 = X21
& n5 = X20 )
& ~ ( n3 = X21
& n5 = X20 )
& ~ ( n4 = X21
& n5 = X20 )
& n4 = X21
& ~ ( n1 = X21
& n4 = X20 )
& n3 = X20
& ~ ( n2 = X21
& n4 = X20 )
& ~ ( n4 = X20
& n0 = X21 )
& ~ ( n5 = X20
& n5 = X21 )
& ~ ( n4 = X20
& n3 = X21 )
& ~ ( n0 = X21
& n5 = X20 ) )
=> n0 = a_select2(xinit_noise,n5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0801) ).
fof(f182,plain,
n5 = sK0,
inference(cnf_transformation,[],[f129]) ).
fof(f180,plain,
( n5 != sK0
| n4 != sK1 ),
inference(cnf_transformation,[],[f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV231+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 19:30:16 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.51 % (11593)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.22/0.52 % (11593)First to succeed.
% 0.22/0.52 % (11593)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Theorem for theBenchmark
% 0.22/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.52 % (11593)------------------------------
% 0.22/0.52 % (11593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.52 % (11593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.52 % (11593)Termination reason: Refutation
% 0.22/0.52
% 0.22/0.52 % (11593)Memory used [KB]: 6012
% 0.22/0.52 % (11593)Time elapsed: 0.004 s
% 0.22/0.52 % (11593)Instructions burned: 3 (million)
% 0.22/0.52 % (11593)------------------------------
% 0.22/0.52 % (11593)------------------------------
% 0.22/0.52 % (11563)Success in time 0.15 s
%------------------------------------------------------------------------------