TSTP Solution File: SWV215+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV215+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 : n023.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 18:44:31 EDT 2022
% Result : Theorem 1.57s 0.57s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 607 ( 574 equ)
% Maximal formula atoms : 150 ( 50 avg)
% Number of connectives : 1035 ( 440 ~; 167 |; 421 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 27 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 12 ( 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f290,plain,
$false,
inference(trivial_inequality_removal,[],[f244]) ).
fof(f244,plain,
( sK1 != sK1
| sK0 != sK0 ),
inference(definition_unfolding,[],[f199,f174,f163]) ).
fof(f163,plain,
n4 = sK0,
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( n0 != sK1
| n4 != sK0 )
& ( n0 != sK0
| n5 != sK1 )
& ( n2 != sK1
| n0 != sK0 )
& n2 = sK1
& leq(sK1,n5)
& ( n2 != sK1
| n4 != sK0 )
& ( n3 != sK0
| n5 != sK1 )
& ( n4 != sK0
| n1 != sK1 )
& ( n1 != sK1
| n5 != sK0 )
& ( n1 != sK0
| n2 != sK1 )
& ( n4 != sK1
| n2 != sK0 )
& ( n3 != sK1
| n2 != sK0 )
& n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n4 != sK0
| n5 != sK1 )
& ( n2 != sK1
| n3 != sK0 )
& leq(n0,sK0)
& ( n3 != sK1
| n0 != sK0 )
& ( n5 != sK0
| n0 != sK1 )
& ( n5 != sK0
| n5 != sK1 )
& ( n0 != sK0
| n1 != sK1 )
& ( n1 != sK0
| n3 != sK1 )
& ( n3 != sK1
| n3 != sK0 )
& ( n1 != sK0
| n4 != sK1 )
& ( n5 != sK0
| n3 != sK1 )
& leq(sK0,n5)
& n0 = sK1
& leq(n0,sK1)
& ( n3 != sK0
| n1 != sK1 )
& n2 = sK0
& ( n4 != sK0
| n3 != sK1 )
& ( n5 != sK1
| n1 != sK0 )
& ( n5 != sK0
| n2 != sK1 )
& ( n4 != sK1
| n3 != sK0 )
& ( n4 != sK1
| n5 != sK0 )
& ( n4 != sK1
| n4 != sK0 )
& ( n0 != sK0
| n4 != sK1 )
& n4 = sK0
& ( n3 != sK0
| n0 != sK1 )
& ( n1 != sK1
| n2 != sK0 )
& ( n1 != sK1
| n1 != sK0 )
& ( n2 != sK0
| n2 != sK1 )
& ( n5 != sK1
| n2 != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f102,f125]) ).
fof(f125,plain,
( ? [X0,X1] :
( ( n0 != X1
| n4 != X0 )
& ( n0 != X0
| n5 != X1 )
& ( n2 != X1
| n0 != X0 )
& n2 = X1
& leq(X1,n5)
& ( n2 != X1
| n4 != X0 )
& ( n3 != X0
| n5 != X1 )
& ( n4 != X0
| n1 != X1 )
& ( n1 != X1
| n5 != X0 )
& ( n1 != X0
| n2 != X1 )
& ( n4 != X1
| n2 != X0 )
& ( n3 != X1
| n2 != X0 )
& n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n4 != X0
| n5 != X1 )
& ( n2 != X1
| n3 != X0 )
& leq(n0,X0)
& ( n3 != X1
| n0 != X0 )
& ( n5 != X0
| n0 != X1 )
& ( n5 != X0
| n5 != X1 )
& ( n0 != X0
| n1 != X1 )
& ( n1 != X0
| n3 != X1 )
& ( n3 != X1
| n3 != X0 )
& ( n1 != X0
| n4 != X1 )
& ( n5 != X0
| n3 != X1 )
& leq(X0,n5)
& n0 = X1
& leq(n0,X1)
& ( n3 != X0
| n1 != X1 )
& n2 = X0
& ( n4 != X0
| n3 != X1 )
& ( n5 != X1
| n1 != X0 )
& ( n5 != X0
| n2 != X1 )
& ( n4 != X1
| n3 != X0 )
& ( n4 != X1
| n5 != X0 )
& ( n4 != X1
| n4 != X0 )
& ( n0 != X0
| n4 != X1 )
& n4 = X0
& ( n3 != X0
| n0 != X1 )
& ( n1 != X1
| n2 != X0 )
& ( n1 != X1
| n1 != X0 )
& ( n2 != X0
| n2 != X1 )
& ( n5 != X1
| n2 != X0 ) )
=> ( ( n0 != sK1
| n4 != sK0 )
& ( n0 != sK0
| n5 != sK1 )
& ( n2 != sK1
| n0 != sK0 )
& n2 = sK1
& leq(sK1,n5)
& ( n2 != sK1
| n4 != sK0 )
& ( n3 != sK0
| n5 != sK1 )
& ( n4 != sK0
| n1 != sK1 )
& ( n1 != sK1
| n5 != sK0 )
& ( n1 != sK0
| n2 != sK1 )
& ( n4 != sK1
| n2 != sK0 )
& ( n3 != sK1
| n2 != sK0 )
& n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n4 != sK0
| n5 != sK1 )
& ( n2 != sK1
| n3 != sK0 )
& leq(n0,sK0)
& ( n3 != sK1
| n0 != sK0 )
& ( n5 != sK0
| n0 != sK1 )
& ( n5 != sK0
| n5 != sK1 )
& ( n0 != sK0
| n1 != sK1 )
& ( n1 != sK0
| n3 != sK1 )
& ( n3 != sK1
| n3 != sK0 )
& ( n1 != sK0
| n4 != sK1 )
& ( n5 != sK0
| n3 != sK1 )
& leq(sK0,n5)
& n0 = sK1
& leq(n0,sK1)
& ( n3 != sK0
| n1 != sK1 )
& n2 = sK0
& ( n4 != sK0
| n3 != sK1 )
& ( n5 != sK1
| n1 != sK0 )
& ( n5 != sK0
| n2 != sK1 )
& ( n4 != sK1
| n3 != sK0 )
& ( n4 != sK1
| n5 != sK0 )
& ( n4 != sK1
| n4 != sK0 )
& ( n0 != sK0
| n4 != sK1 )
& n4 = sK0
& ( n3 != sK0
| n0 != sK1 )
& ( n1 != sK1
| n2 != sK0 )
& ( n1 != sK1
| n1 != sK0 )
& ( n2 != sK0
| n2 != sK1 )
& ( n5 != sK1
| n2 != sK0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
? [X0,X1] :
( ( n0 != X1
| n4 != X0 )
& ( n0 != X0
| n5 != X1 )
& ( n2 != X1
| n0 != X0 )
& n2 = X1
& leq(X1,n5)
& ( n2 != X1
| n4 != X0 )
& ( n3 != X0
| n5 != X1 )
& ( n4 != X0
| n1 != X1 )
& ( n1 != X1
| n5 != X0 )
& ( n1 != X0
| n2 != X1 )
& ( n4 != X1
| n2 != X0 )
& ( n3 != X1
| n2 != X0 )
& n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n4 != X0
| n5 != X1 )
& ( n2 != X1
| n3 != X0 )
& leq(n0,X0)
& ( n3 != X1
| n0 != X0 )
& ( n5 != X0
| n0 != X1 )
& ( n5 != X0
| n5 != X1 )
& ( n0 != X0
| n1 != X1 )
& ( n1 != X0
| n3 != X1 )
& ( n3 != X1
| n3 != X0 )
& ( n1 != X0
| n4 != X1 )
& ( n5 != X0
| n3 != X1 )
& leq(X0,n5)
& n0 = X1
& leq(n0,X1)
& ( n3 != X0
| n1 != X1 )
& n2 = X0
& ( n4 != X0
| n3 != X1 )
& ( n5 != X1
| n1 != X0 )
& ( n5 != X0
| n2 != X1 )
& ( n4 != X1
| n3 != X0 )
& ( n4 != X1
| n5 != X0 )
& ( n4 != X1
| n4 != X0 )
& ( n0 != X0
| n4 != X1 )
& n4 = X0
& ( n3 != X0
| n0 != X1 )
& ( n1 != X1
| n2 != X0 )
& ( n1 != X1
| n1 != X0 )
& ( n2 != X0
| n2 != X1 )
& ( n5 != X1
| n2 != X0 ) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
? [X1,X0] :
( n0 != times(divide(n1,n400),a_select2(sigma,n2))
& ( n0 != X0
| n1 != X1 )
& ( n2 != X1
| n0 != X0 )
& ( n4 != X1
| n4 != X0 )
& ( n3 != X1
| n0 != X0 )
& ( n2 != X1
| n4 != X0 )
& ( n2 != X1
| n3 != X0 )
& ( n3 != X0
| n5 != X1 )
& ( n3 != X0
| n0 != X1 )
& ( n4 != X1
| n2 != X0 )
& ( n1 != X0
| n4 != X1 )
& ( n4 != X1
| n5 != X0 )
& ( n0 != X0
| n5 != X1 )
& ( n0 != X0
| n4 != X1 )
& ( n5 != X1
| n2 != X0 )
& ( n1 != X1
| n5 != X0 )
& ( n1 != X0
| n3 != X1 )
& ( n5 != X0
| n2 != X1 )
& ( n3 != X0
| n1 != X1 )
& n2 = X0
& ( n1 != X0
| n2 != X1 )
& ( n3 != X1
| n3 != X0 )
& n4 = X0
& ( n2 != X0
| n2 != X1 )
& ( n4 != X0
| n5 != X1 )
& ( n4 != X0
| n3 != X1 )
& ( n5 != X1
| n1 != X0 )
& ( n1 != X1
| n1 != X0 )
& ( n5 != X0
| n0 != X1 )
& ( n4 != X0
| n1 != X1 )
& ( n5 != X0
| n5 != X1 )
& n0 = X1
& ( n5 != X0
| n3 != X1 )
& n2 = X1
& ( n3 != X1
| n2 != X0 )
& ( n1 != X1
| n2 != X0 )
& ( n0 != X1
| n4 != X0 )
& ( n4 != X1
| n3 != X0 )
& leq(X1,n5)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ! [X1,X0] :
( ( leq(X1,n5)
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5) )
=> ( ( ~ ( n0 = X0
& n1 = X1 )
& ~ ( n0 = X0
& n2 = X1 )
& ~ ( n4 = X1
& n4 = X0 )
& ~ ( n0 = X0
& n3 = X1 )
& ~ ( n2 = X1
& n4 = X0 )
& ~ ( n3 = X0
& n2 = X1 )
& ~ ( n5 = X1
& n3 = X0 )
& ~ ( n0 = X1
& n3 = X0 )
& ~ ( n2 = X0
& n4 = X1 )
& ~ ( n4 = X1
& n1 = X0 )
& ~ ( n4 = X1
& n5 = X0 )
& ~ ( n0 = X0
& n5 = X1 )
& ~ ( n0 = X0
& n4 = X1 )
& ~ ( n2 = X0
& n5 = X1 )
& ~ ( n1 = X1
& n5 = X0 )
& ~ ( n3 = X1
& n1 = X0 )
& ~ ( n2 = X1
& n5 = X0 )
& ~ ( n1 = X1
& n3 = X0 )
& n2 = X0
& ~ ( n2 = X1
& n1 = X0 )
& ~ ( n3 = X1
& n3 = X0 )
& n4 = X0
& ~ ( n2 = X0
& n2 = X1 )
& ~ ( n4 = X0
& n5 = X1 )
& ~ ( n4 = X0
& n3 = X1 )
& ~ ( n5 = X1
& n1 = X0 )
& ~ ( n1 = X0
& n1 = X1 )
& ~ ( n0 = X1
& n5 = X0 )
& ~ ( n1 = X1
& n4 = X0 )
& ~ ( n5 = X0
& n5 = X1 )
& n0 = X1
& ~ ( n3 = X1
& n5 = X0 )
& n2 = X1
& ~ ( n2 = X0
& n3 = X1 )
& ~ ( n1 = X1
& n2 = X0 )
& ~ ( n0 = X1
& n4 = X0 )
& ~ ( n3 = X0
& n4 = X1 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X17,X13] :
( ( leq(n0,X13)
& leq(n0,X17)
& leq(X17,n5)
& leq(X13,n5) )
=> ( ( ~ ( n5 = X13
& n3 = X17 )
& ~ ( n1 = X17
& n4 = X13 )
& n0 = X13
& ~ ( n1 = X17
& n1 = X13 )
& ~ ( n4 = X17
& n3 = X13 )
& ~ ( n4 = X13
& n3 = X17 )
& ~ ( n5 = X13
& n5 = X17 )
& ~ ( n3 = X17
& n0 = X13 )
& ~ ( n1 = X17
& n2 = X13 )
& ~ ( n3 = X13
& n1 = X17 )
& ~ ( n4 = X13
& n5 = X17 )
& ~ ( n5 = X17
& n1 = X13 )
& ~ ( n2 = X13
& n3 = X17 )
& ~ ( n2 = X17
& n3 = X13 )
& ~ ( n5 = X13
& n2 = X17 )
& ~ ( n0 = X17
& n3 = X13 )
& ~ ( n0 = X17
& n2 = X13 )
& ~ ( n2 = X13
& n4 = X17 )
& ~ ( n0 = X17
& n5 = X13 )
& n2 = X17
& ~ ( n1 = X13
& n4 = X17 )
& ~ ( n4 = X13
& n4 = X17 )
& ~ ( n4 = X17
& n0 = X13 )
& ~ ( n3 = X17
& n1 = X13 )
& ~ ( n2 = X17
& n2 = X13 )
& ~ ( n5 = X17
& n2 = X13 )
& ~ ( n4 = X13
& n0 = X17 )
& ~ ( n1 = X13
& n2 = X17 )
& ~ ( n3 = X13
& n3 = X17 )
& n4 = X17
& n2 = X13
& ~ ( n0 = X13
& n5 = X17 )
& ~ ( n3 = X13
& n5 = X17 )
& ~ ( n5 = X13
& n4 = X17 )
& ~ ( n1 = X13
& n0 = X17 )
& ~ ( n4 = X13
& n2 = X17 )
& ~ ( n5 = X13
& n1 = X17 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X17,X13] :
( ( leq(n0,X13)
& leq(n0,X17)
& leq(X17,n5)
& leq(X13,n5) )
=> ( ( ~ ( n5 = X13
& n3 = X17 )
& ~ ( n1 = X17
& n4 = X13 )
& n0 = X13
& ~ ( n1 = X17
& n1 = X13 )
& ~ ( n4 = X17
& n3 = X13 )
& ~ ( n4 = X13
& n3 = X17 )
& ~ ( n5 = X13
& n5 = X17 )
& ~ ( n3 = X17
& n0 = X13 )
& ~ ( n1 = X17
& n2 = X13 )
& ~ ( n3 = X13
& n1 = X17 )
& ~ ( n4 = X13
& n5 = X17 )
& ~ ( n5 = X17
& n1 = X13 )
& ~ ( n2 = X13
& n3 = X17 )
& ~ ( n2 = X17
& n3 = X13 )
& ~ ( n5 = X13
& n2 = X17 )
& ~ ( n0 = X17
& n3 = X13 )
& ~ ( n0 = X17
& n2 = X13 )
& ~ ( n2 = X13
& n4 = X17 )
& ~ ( n0 = X17
& n5 = X13 )
& n2 = X17
& ~ ( n1 = X13
& n4 = X17 )
& ~ ( n4 = X13
& n4 = X17 )
& ~ ( n4 = X17
& n0 = X13 )
& ~ ( n3 = X17
& n1 = X13 )
& ~ ( n2 = X17
& n2 = X13 )
& ~ ( n5 = X17
& n2 = X13 )
& ~ ( n4 = X13
& n0 = X17 )
& ~ ( n1 = X13
& n2 = X17 )
& ~ ( n3 = X13
& n3 = X17 )
& n4 = X17
& n2 = X13
& ~ ( n0 = X13
& n5 = X17 )
& ~ ( n3 = X13
& n5 = X17 )
& ~ ( n5 = X13
& n4 = X17 )
& ~ ( n1 = X13
& n0 = X17 )
& ~ ( n4 = X13
& n2 = X17 )
& ~ ( n5 = X13
& n1 = X17 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0161) ).
fof(f174,plain,
n0 = sK1,
inference(cnf_transformation,[],[f126]) ).
fof(f199,plain,
( n0 != sK1
| n4 != sK0 ),
inference(cnf_transformation,[],[f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV215+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % 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 : n023.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 19:27:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.57/0.56 % (30130)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)
% 1.57/0.57 % (30130)First to succeed.
% 1.57/0.57 % (30129)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.57/0.57 % (30120)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.57/0.57 % (30130)Refutation found. Thanks to Tanya!
% 1.57/0.57 % SZS status Theorem for theBenchmark
% 1.57/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.57 % (30130)------------------------------
% 1.57/0.57 % (30130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (30130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (30130)Termination reason: Refutation
% 1.57/0.57
% 1.57/0.57 % (30130)Memory used [KB]: 6140
% 1.57/0.57 % (30130)Time elapsed: 0.006 s
% 1.57/0.57 % (30130)Instructions burned: 4 (million)
% 1.57/0.57 % (30130)------------------------------
% 1.57/0.57 % (30130)------------------------------
% 1.57/0.57 % (30118)Success in time 0.22 s
%------------------------------------------------------------------------------