TSTP Solution File: SWV222+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV222+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 : n011.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 18:44:32 EDT 2022
% Result : Theorem 1.31s 0.51s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 452 ( 391 equ)
% Maximal formula atoms : 89 ( 45 avg)
% Number of connectives : 711 ( 269 ~; 88 |; 339 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 25 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 : 30 ( 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f282,plain,
$false,
inference(trivial_inequality_removal,[],[f244]) ).
fof(f244,plain,
( sK0 != sK0
| sK1 != sK1 ),
inference(definition_unfolding,[],[f162,f179,f183]) ).
fof(f183,plain,
n3 = sK1,
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ! [X3,X2] :
( ~ leq(X3,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X3,X2) = a_select3(r_ds1_filter,X2,X3)
| ~ leq(X2,n2) )
& ! [X1,X0] :
( a_select3(q_ds1_filter,X1,X0) = a_select3(q_ds1_filter,X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| ~ leq(n0,X0)
| ~ leq(X0,n5) )
& ? [X5,X4] :
( ( n0 != X5
| n5 != X4 )
& n0 = X5
& ( n5 != X5
| n5 != X4 )
& ( n4 != X5
| n4 != X4 )
& n0 = X4
& ( n3 != X4
| n5 != X5 )
& ( n3 != X4
| n4 != X5 )
& ( n1 != X4
| n3 != X5 )
& n3 = X4
& ( n2 != X5
| n5 != X4 )
& ( n0 != X5
| n4 != X4 )
& leq(n0,X5)
& ( n2 != X5
| n3 != X4 )
& leq(n0,X4)
& ( n3 != X5
| n2 != X4 )
& ( n2 != X5
| n4 != X4 )
& leq(X5,n5)
& ( n4 != X5
| n2 != X4 )
& ( n4 != X4
| n3 != X5 )
& ( n2 != X5
| n2 != X4 )
& ( n5 != X5
| n0 != X4 )
& ( n1 != X5
| n5 != X4 )
& ( n1 != X4
| n1 != X5 )
& ( n3 != X5
| n0 != X4 )
& ( n0 != X4
| n4 != X5 )
& ( n1 != X4
| n5 != X5 )
& ( n3 != X5
| n3 != X4 )
& ( n5 != X5
| n2 != X4 )
& ( n3 != X4
| n1 != X5 )
& ( n1 != X4
| n0 != X5 )
& ( n2 != X5
| n0 != X4 )
& ( n0 != X5
| n2 != X4 )
& n1 = X5
& n0 != a_select2(xinit_noise,n0)
& ( n4 != X5
| n5 != X4 )
& ( n1 != X4
| n2 != X5 )
& ( n4 != X4
| n1 != X5 )
& leq(X4,n5)
& ( n2 != X4
| n1 != X5 )
& ( n1 != X5
| n0 != X4 )
& ( n3 != X5
| n5 != X4 )
& ( n0 != X5
| n3 != X4 )
& ( n5 != X5
| n4 != X4 )
& ( n1 != X4
| n4 != X5 ) ) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
( ? [X5,X4] :
( n0 != a_select2(xinit_noise,n0)
& ( n0 != X5
| n3 != X4 )
& ( n3 != X4
| n5 != X5 )
& ( n1 != X4
| n3 != X5 )
& ( n0 != X5
| n5 != X4 )
& ( n1 != X4
| n0 != X5 )
& ( n5 != X5
| n2 != X4 )
& ( n1 != X5
| n5 != X4 )
& ( n4 != X5
| n5 != X4 )
& ( n4 != X5
| n4 != X4 )
& n3 = X4
& ( n2 != X5
| n4 != X4 )
& ( n2 != X4
| n1 != X5 )
& n0 = X4
& ( n5 != X5
| n0 != X4 )
& ( n2 != X5
| n2 != X4 )
& ( n2 != X5
| n3 != X4 )
& ( n4 != X4
| n3 != X5 )
& ( n0 != X4
| n4 != X5 )
& ( n1 != X4
| n4 != X5 )
& n0 = X5
& ( n3 != X5
| n0 != X4 )
& ( n3 != X5
| n2 != X4 )
& ( n1 != X4
| n5 != X5 )
& ( n5 != X5
| n5 != X4 )
& ( n4 != X4
| n1 != X5 )
& ( n3 != X5
| n5 != X4 )
& ( n2 != X5
| n0 != X4 )
& ( n2 != X5
| n5 != X4 )
& ( n1 != X4
| n1 != X5 )
& ( n1 != X5
| n0 != X4 )
& ( n3 != X4
| n4 != X5 )
& ( n3 != X5
| n3 != X4 )
& ( n3 != X4
| n1 != X5 )
& ( n0 != X5
| n2 != X4 )
& ( n0 != X5
| n4 != X4 )
& ( n4 != X5
| n2 != X4 )
& ( n5 != X5
| n4 != X4 )
& n1 = X5
& ( n1 != X4
| n2 != X5 )
& leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
& ! [X3,X2] :
( a_select3(r_ds1_filter,X3,X2) = a_select3(r_ds1_filter,X2,X3)
| ~ leq(n0,X2)
| ~ leq(X3,n2)
| ~ leq(X2,n2)
| ~ leq(n0,X3) )
& ! [X0,X1] :
( a_select3(q_ds1_filter,X1,X0) = a_select3(q_ds1_filter,X0,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ( ! [X3,X2] :
( ( leq(n0,X2)
& leq(X3,n2)
& leq(X2,n2)
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X2) = a_select3(r_ds1_filter,X2,X3) )
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n5)
& leq(X1,n5) )
=> a_select3(q_ds1_filter,X1,X0) = a_select3(q_ds1_filter,X0,X1) ) )
=> ! [X5,X4] :
( ( leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( ~ ( n0 = X5
& n3 = X4 )
& ~ ( n5 = X5
& n3 = X4 )
& ~ ( n1 = X4
& n3 = X5 )
& ~ ( n0 = X5
& n5 = X4 )
& ~ ( n1 = X4
& n0 = X5 )
& ~ ( n2 = X4
& n5 = X5 )
& ~ ( n5 = X4
& n1 = X5 )
& ~ ( n5 = X4
& n4 = X5 )
& ~ ( n4 = X4
& n4 = X5 )
& n3 = X4
& ~ ( n4 = X4
& n2 = X5 )
& ~ ( n2 = X4
& n1 = X5 )
& n0 = X4
& ~ ( n5 = X5
& n0 = X4 )
& ~ ( n2 = X5
& n2 = X4 )
& ~ ( n2 = X5
& n3 = X4 )
& ~ ( n4 = X4
& n3 = X5 )
& ~ ( n4 = X5
& n0 = X4 )
& ~ ( n4 = X5
& n1 = X4 )
& n0 = X5
& ~ ( n0 = X4
& n3 = X5 )
& ~ ( n2 = X4
& n3 = X5 )
& ~ ( n5 = X5
& n1 = X4 )
& ~ ( n5 = X5
& n5 = X4 )
& ~ ( n4 = X4
& n1 = X5 )
& ~ ( n3 = X5
& n5 = X4 )
& ~ ( n0 = X4
& n2 = X5 )
& ~ ( n5 = X4
& n2 = X5 )
& ~ ( n1 = X5
& n1 = X4 )
& ~ ( n0 = X4
& n1 = X5 )
& ~ ( n4 = X5
& n3 = X4 )
& ~ ( n3 = X4
& n3 = X5 )
& ~ ( n3 = X4
& n1 = X5 )
& ~ ( n2 = X4
& n0 = X5 )
& ~ ( n0 = X5
& n4 = X4 )
& ~ ( n2 = X4
& n4 = X5 )
& ~ ( n5 = X5
& n4 = X4 )
& n1 = X5
& ~ ( n2 = X5
& n1 = X4 ) )
=> n0 = a_select2(xinit_noise,n0) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X17,X13] :
( ( leq(X17,n5)
& leq(X13,n5)
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& ! [X3,X19] :
( ( leq(X19,n2)
& leq(n0,X3)
& leq(n0,X19)
& leq(X3,n2) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) ) )
=> ! [X21,X20] :
( ( leq(X20,n5)
& leq(n0,X21)
& leq(X21,n5)
& leq(n0,X20) )
=> ( ( ~ ( n2 = X21
& n4 = X20 )
& ~ ( n5 = X20
& n0 = X21 )
& ~ ( n4 = X20
& n0 = X21 )
& ~ ( n2 = X21
& n5 = X20 )
& ~ ( n0 = X20
& n4 = X21 )
& ~ ( n3 = X20
& n3 = X21 )
& ~ ( n3 = X20
& n2 = X21 )
& n3 = X21
& ~ ( n2 = X20
& n3 = X21 )
& ~ ( n1 = X21
& n2 = X20 )
& ~ ( n3 = X21
& n1 = X20 )
& ~ ( n5 = X20
& n3 = X21 )
& n0 = X21
& ~ ( n2 = X20
& n5 = X21 )
& ~ ( n3 = X20
& n0 = X21 )
& ~ ( n1 = X20
& n1 = X21 )
& ~ ( n0 = X20
& n3 = X21 )
& ~ ( n5 = X20
& n5 = X21 )
& ~ ( n0 = X21
& n1 = X20 )
& ~ ( n4 = X20
& n4 = X21 )
& ~ ( n4 = X21
& n1 = X20 )
& n0 = X20
& ~ ( n1 = X21
& n5 = X20 )
& ~ ( n1 = X20
& n5 = X21 )
& ~ ( n2 = X21
& n0 = X20 )
& ~ ( n0 = X20
& n5 = X21 )
& ~ ( n3 = X21
& n4 = X20 )
& ~ ( n2 = X21
& n2 = X20 )
& ~ ( n5 = X21
& n4 = X20 )
& ~ ( n5 = X20
& n4 = X21 )
& ~ ( n1 = X21
& n3 = X20 )
& ~ ( n5 = X21
& n3 = X20 )
& ~ ( n1 = X21
& n4 = X20 )
& n1 = X20
& ~ ( n4 = X21
& n2 = X20 )
& ~ ( n1 = X20
& n2 = X21 )
& ~ ( n1 = X21
& n0 = X20 )
& ~ ( n4 = X21
& n3 = X20 )
& ~ ( n2 = X20
& n0 = X21 ) )
=> n0 = a_select2(xinit_noise,n0) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X17,X13] :
( ( leq(X17,n5)
& leq(X13,n5)
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& ! [X3,X19] :
( ( leq(X19,n2)
& leq(n0,X3)
& leq(n0,X19)
& leq(X3,n2) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) ) )
=> ! [X21,X20] :
( ( leq(X20,n5)
& leq(n0,X21)
& leq(X21,n5)
& leq(n0,X20) )
=> ( ( ~ ( n2 = X21
& n4 = X20 )
& ~ ( n5 = X20
& n0 = X21 )
& ~ ( n4 = X20
& n0 = X21 )
& ~ ( n2 = X21
& n5 = X20 )
& ~ ( n0 = X20
& n4 = X21 )
& ~ ( n3 = X20
& n3 = X21 )
& ~ ( n3 = X20
& n2 = X21 )
& n3 = X21
& ~ ( n2 = X20
& n3 = X21 )
& ~ ( n1 = X21
& n2 = X20 )
& ~ ( n3 = X21
& n1 = X20 )
& ~ ( n5 = X20
& n3 = X21 )
& n0 = X21
& ~ ( n2 = X20
& n5 = X21 )
& ~ ( n3 = X20
& n0 = X21 )
& ~ ( n1 = X20
& n1 = X21 )
& ~ ( n0 = X20
& n3 = X21 )
& ~ ( n5 = X20
& n5 = X21 )
& ~ ( n0 = X21
& n1 = X20 )
& ~ ( n4 = X20
& n4 = X21 )
& ~ ( n4 = X21
& n1 = X20 )
& n0 = X20
& ~ ( n1 = X21
& n5 = X20 )
& ~ ( n1 = X20
& n5 = X21 )
& ~ ( n2 = X21
& n0 = X20 )
& ~ ( n0 = X20
& n5 = X21 )
& ~ ( n3 = X21
& n4 = X20 )
& ~ ( n2 = X21
& n2 = X20 )
& ~ ( n5 = X21
& n4 = X20 )
& ~ ( n5 = X20
& n4 = X21 )
& ~ ( n1 = X21
& n3 = X20 )
& ~ ( n5 = X21
& n3 = X20 )
& ~ ( n1 = X21
& n4 = X20 )
& n1 = X20
& ~ ( n4 = X21
& n2 = X20 )
& ~ ( n1 = X20
& n2 = X21 )
& ~ ( n1 = X21
& n0 = X20 )
& ~ ( n4 = X21
& n3 = X20 )
& ~ ( n2 = X20
& n0 = X21 ) )
=> n0 = a_select2(xinit_noise,n0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0441) ).
fof(f179,plain,
n1 = sK0,
inference(cnf_transformation,[],[f100]) ).
fof(f162,plain,
( n1 != sK0
| n3 != sK1 ),
inference(cnf_transformation,[],[f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV222+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 19:04:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (22763)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (22763)Instruction limit reached!
% 0.19/0.50 % (22763)------------------------------
% 0.19/0.50 % (22763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (22749)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)
% 0.19/0.50 % (22756)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (22756)First to succeed.
% 0.19/0.51 % (22771)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51 % (22763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (22763)Termination reason: Unknown
% 0.19/0.51 % (22763)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (22763)Memory used [KB]: 1663
% 0.19/0.51 % (22763)Time elapsed: 0.005 s
% 0.19/0.51 % (22763)Instructions burned: 7 (million)
% 0.19/0.51 % (22763)------------------------------
% 0.19/0.51 % (22763)------------------------------
% 1.31/0.51 % (22770)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.31/0.51 % (22756)Refutation found. Thanks to Tanya!
% 1.31/0.51 % SZS status Theorem for theBenchmark
% 1.31/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.51 % (22756)------------------------------
% 1.31/0.51 % (22756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.51 % (22756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.51 % (22756)Termination reason: Refutation
% 1.31/0.51
% 1.31/0.51 % (22756)Memory used [KB]: 6140
% 1.31/0.51 % (22756)Time elapsed: 0.008 s
% 1.31/0.51 % (22756)Instructions burned: 5 (million)
% 1.31/0.51 % (22756)------------------------------
% 1.31/0.51 % (22756)------------------------------
% 1.31/0.51 % (22747)Success in time 0.166 s
%------------------------------------------------------------------------------