TSTP Solution File: SWV228+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV228+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 : n027.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 18:44:33 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 584 ( 479 equ)
% Maximal formula atoms : 108 ( 22 avg)
% Number of connectives : 955 ( 397 ~; 178 |; 362 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 12 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 42 ( 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f310,plain,
$false,
inference(avatar_sat_refutation,[],[f234,f246,f305]) ).
fof(f305,plain,
( spl3_1
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f304]) ).
fof(f304,plain,
( $false
| spl3_1
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f303,f196]) ).
fof(f196,plain,
( n0 != sK0
| spl3_1 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl3_1
<=> n0 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f303,plain,
( n0 = sK0
| ~ spl3_3 ),
inference(forward_demodulation,[],[f204,f235]) ).
fof(f235,plain,
n0 = n3,
inference(forward_demodulation,[],[f161,f165]) ).
fof(f165,plain,
n0 = sK1,
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( n3 != sK0
| n3 != sK1 )
& ( n4 != sK1
| n4 != sK0 )
& ( n5 != sK0
| n3 != sK1 )
& ( n2 != sK1
| n5 != sK0 )
& n0 != a_select2(xinit_noise,n3)
& ( n5 != sK0
| n1 != sK1 )
& ( n0 != sK1
| n5 != sK0 )
& n3 = sK0
& ( n1 != sK0
| n4 != sK1 )
& ( n1 != sK1
| n4 != sK0 )
& n0 = sK1
& ( n5 != sK1
| n3 != sK0 )
& ( n2 != sK1
| n3 != sK0 )
& ( n3 != sK0
| n4 != sK1 )
& n3 = sK1
& ( n5 != sK1
| n1 != sK0 )
& ( n4 != sK0
| n0 != sK1 )
& ( n2 != sK0
| n4 != sK1 )
& ( n2 != sK0
| n5 != sK1 )
& leq(n0,sK1)
& ( n5 != sK1
| n5 != sK0 )
& ( n4 != sK1
| n5 != sK0 )
& leq(sK1,n5)
& leq(sK0,n5)
& ( n0 != sK0
| n4 != sK1 )
& ( n5 != sK1
| n4 != sK0 )
& ( n3 != sK1
| n4 != sK0 )
& ( n3 != sK0
| n1 != sK1 )
& ( n4 != sK0
| n2 != sK1 )
& leq(n0,sK0)
& ( n0 != sK0
| n5 != sK1 )
& ! [X2,X3] :
( ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(n0,X3) )
& ! [X4,X5] :
( ~ leq(X4,n2)
| ~ leq(X5,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X5,X4) = a_select3(r_ds1_filter,X4,X5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f131,f132]) ).
fof(f132,plain,
( ? [X0,X1] :
( ( n3 != X0
| n3 != X1 )
& ( n4 != X1
| n4 != X0 )
& ( n5 != X0
| n3 != X1 )
& ( n2 != X1
| n5 != X0 )
& n0 != a_select2(xinit_noise,n3)
& ( n5 != X0
| n1 != X1 )
& ( n0 != X1
| n5 != X0 )
& n3 = X0
& ( n1 != X0
| n4 != X1 )
& ( n1 != X1
| n4 != X0 )
& n0 = X1
& ( n5 != X1
| n3 != X0 )
& ( n2 != X1
| n3 != X0 )
& ( n3 != X0
| n4 != X1 )
& n3 = X1
& ( n5 != X1
| n1 != X0 )
& ( n4 != X0
| n0 != X1 )
& ( n2 != X0
| n4 != X1 )
& ( n2 != X0
| n5 != X1 )
& leq(n0,X1)
& ( n5 != X1
| n5 != X0 )
& ( n4 != X1
| n5 != X0 )
& leq(X1,n5)
& leq(X0,n5)
& ( n0 != X0
| n4 != X1 )
& ( n5 != X1
| n4 != X0 )
& ( n3 != X1
| n4 != X0 )
& ( n3 != X0
| n1 != X1 )
& ( n4 != X0
| n2 != X1 )
& leq(n0,X0)
& ( n0 != X0
| n5 != X1 ) )
=> ( ( n3 != sK0
| n3 != sK1 )
& ( n4 != sK1
| n4 != sK0 )
& ( n5 != sK0
| n3 != sK1 )
& ( n2 != sK1
| n5 != sK0 )
& n0 != a_select2(xinit_noise,n3)
& ( n5 != sK0
| n1 != sK1 )
& ( n0 != sK1
| n5 != sK0 )
& n3 = sK0
& ( n1 != sK0
| n4 != sK1 )
& ( n1 != sK1
| n4 != sK0 )
& n0 = sK1
& ( n5 != sK1
| n3 != sK0 )
& ( n2 != sK1
| n3 != sK0 )
& ( n3 != sK0
| n4 != sK1 )
& n3 = sK1
& ( n5 != sK1
| n1 != sK0 )
& ( n4 != sK0
| n0 != sK1 )
& ( n2 != sK0
| n4 != sK1 )
& ( n2 != sK0
| n5 != sK1 )
& leq(n0,sK1)
& ( n5 != sK1
| n5 != sK0 )
& ( n4 != sK1
| n5 != sK0 )
& leq(sK1,n5)
& leq(sK0,n5)
& ( n0 != sK0
| n4 != sK1 )
& ( n5 != sK1
| n4 != sK0 )
& ( n3 != sK1
| n4 != sK0 )
& ( n3 != sK0
| n1 != sK1 )
& ( n4 != sK0
| n2 != sK1 )
& leq(n0,sK0)
& ( n0 != sK0
| n5 != sK1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X0,X1] :
( ( n3 != X0
| n3 != X1 )
& ( n4 != X1
| n4 != X0 )
& ( n5 != X0
| n3 != X1 )
& ( n2 != X1
| n5 != X0 )
& n0 != a_select2(xinit_noise,n3)
& ( n5 != X0
| n1 != X1 )
& ( n0 != X1
| n5 != X0 )
& n3 = X0
& ( n1 != X0
| n4 != X1 )
& ( n1 != X1
| n4 != X0 )
& n0 = X1
& ( n5 != X1
| n3 != X0 )
& ( n2 != X1
| n3 != X0 )
& ( n3 != X0
| n4 != X1 )
& n3 = X1
& ( n5 != X1
| n1 != X0 )
& ( n4 != X0
| n0 != X1 )
& ( n2 != X0
| n4 != X1 )
& ( n2 != X0
| n5 != X1 )
& leq(n0,X1)
& ( n5 != X1
| n5 != X0 )
& ( n4 != X1
| n5 != X0 )
& leq(X1,n5)
& leq(X0,n5)
& ( n0 != X0
| n4 != X1 )
& ( n5 != X1
| n4 != X0 )
& ( n3 != X1
| n4 != X0 )
& ( n3 != X0
| n1 != X1 )
& ( n4 != X0
| n2 != X1 )
& leq(n0,X0)
& ( n0 != X0
| n5 != X1 ) )
& ! [X2,X3] :
( ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(n0,X3) )
& ! [X4,X5] :
( ~ leq(X4,n2)
| ~ leq(X5,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(r_ds1_filter,X5,X4) = a_select3(r_ds1_filter,X4,X5) ) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
( ? [X4,X5] :
( ( n3 != X4
| n3 != X5 )
& ( n4 != X5
| n4 != X4 )
& ( n5 != X4
| n3 != X5 )
& ( n2 != X5
| n5 != X4 )
& n0 != a_select2(xinit_noise,n3)
& ( n5 != X4
| n1 != X5 )
& ( n0 != X5
| n5 != X4 )
& n3 = X4
& ( n1 != X4
| n4 != X5 )
& ( n1 != X5
| n4 != X4 )
& n0 = X5
& ( n5 != X5
| n3 != X4 )
& ( n2 != X5
| n3 != X4 )
& ( n3 != X4
| n4 != X5 )
& n3 = X5
& ( n5 != X5
| n1 != X4 )
& ( n4 != X4
| n0 != X5 )
& ( n2 != X4
| n4 != X5 )
& ( n2 != X4
| n5 != X5 )
& leq(n0,X5)
& ( n5 != X5
| n5 != X4 )
& ( n4 != X5
| n5 != X4 )
& leq(X5,n5)
& leq(X4,n5)
& ( n0 != X4
| n4 != X5 )
& ( n5 != X5
| n4 != X4 )
& ( n3 != X5
| n4 != X4 )
& ( n3 != X4
| n1 != X5 )
& ( n4 != X4
| n2 != X5 )
& leq(n0,X4)
& ( n0 != X4
| n5 != X5 ) )
& ! [X3,X2] :
( ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(n0,X3)
| a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(n0,X2) )
& ! [X0,X1] :
( ~ leq(X0,n2)
| ~ leq(X1,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(r_ds1_filter,X1,X0) = a_select3(r_ds1_filter,X0,X1) ) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
( ? [X4,X5] :
( n0 != a_select2(xinit_noise,n3)
& ( n4 != X4
| n0 != X5 )
& ( n0 != X5
| n5 != X4 )
& ( n3 != X4
| n3 != X5 )
& ( n5 != X5
| n4 != X4 )
& ( n5 != X5
| n1 != X4 )
& ( n5 != X5
| n3 != X4 )
& ( n3 != X5
| n4 != X4 )
& ( n1 != X5
| n4 != X4 )
& n3 = X4
& ( n5 != X5
| n5 != X4 )
& ( n5 != X4
| n1 != X5 )
& ( n5 != X4
| n3 != X5 )
& ( n2 != X5
| n3 != X4 )
& ( n0 != X4
| n5 != X5 )
& ( n2 != X4
| n4 != X5 )
& ( n2 != X4
| n5 != X5 )
& n3 = X5
& n0 = X5
& ( n0 != X4
| n4 != X5 )
& ( n1 != X4
| n4 != X5 )
& ( n4 != X4
| n2 != X5 )
& ( n4 != X5
| n5 != X4 )
& ( n3 != X4
| n1 != X5 )
& ( n2 != X5
| n5 != X4 )
& ( n3 != X4
| n4 != X5 )
& ( n4 != X5
| n4 != X4 )
& leq(n0,X4)
& leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5) )
& ! [X3,X2] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X3) )
& ! [X0,X1] :
( a_select3(r_ds1_filter,X1,X0) = a_select3(r_ds1_filter,X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ( ! [X3,X2] :
( ( leq(X2,n5)
& leq(X3,n5)
& leq(n0,X2)
& leq(n0,X3) )
=> a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ( leq(n0,X1)
& leq(X1,n2)
& leq(n0,X0)
& leq(X0,n2) )
=> a_select3(r_ds1_filter,X1,X0) = a_select3(r_ds1_filter,X0,X1) ) )
=> ! [X4,X5] :
( ( leq(n0,X4)
& leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5) )
=> ( ( ~ ( n4 = X4
& n0 = X5 )
& ~ ( n5 = X4
& n0 = X5 )
& ~ ( n3 = X5
& n3 = X4 )
& ~ ( n5 = X5
& n4 = X4 )
& ~ ( n5 = X5
& n1 = X4 )
& ~ ( n5 = X5
& n3 = X4 )
& ~ ( n4 = X4
& n3 = X5 )
& ~ ( n1 = X5
& n4 = X4 )
& n3 = X4
& ~ ( n5 = X4
& n5 = X5 )
& ~ ( n1 = X5
& n5 = X4 )
& ~ ( n3 = X5
& n5 = X4 )
& ~ ( n3 = X4
& n2 = X5 )
& ~ ( n5 = X5
& n0 = X4 )
& ~ ( n2 = X4
& n4 = X5 )
& ~ ( n2 = X4
& n5 = X5 )
& n3 = X5
& n0 = X5
& ~ ( n0 = X4
& n4 = X5 )
& ~ ( n4 = X5
& n1 = X4 )
& ~ ( n4 = X4
& n2 = X5 )
& ~ ( n5 = X4
& n4 = X5 )
& ~ ( n1 = X5
& n3 = X4 )
& ~ ( n5 = X4
& n2 = X5 )
& ~ ( n4 = X5
& n3 = X4 )
& ~ ( n4 = X5
& n4 = X4 ) )
=> n0 = a_select2(xinit_noise,n3) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X19,X3] :
( ( 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) )
& ! [X13,X17] :
( ( 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) ) )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(n0,X21)
& leq(X20,n5)
& leq(n0,X20) )
=> ( ( ~ ( n5 = X21
& n2 = X20 )
& ~ ( n5 = X20
& n1 = X21 )
& ~ ( n4 = X20
& n0 = X21 )
& ~ ( n1 = X21
& n3 = X20 )
& ~ ( n5 = X21
& n4 = X20 )
& n0 = X21
& ~ ( n1 = X20
& n4 = X21 )
& ~ ( n3 = X20
& n2 = X21 )
& ~ ( n0 = X20
& n5 = X21 )
& ~ ( n4 = X21
& n3 = X20 )
& ~ ( n4 = X20
& n2 = X21 )
& ~ ( n3 = X21
& n4 = X20 )
& ~ ( n5 = X21
& n1 = X20 )
& ~ ( n4 = X20
& n1 = X21 )
& ~ ( n5 = X20
& n2 = X21 )
& ~ ( n3 = X20
& n5 = X21 )
& ~ ( n4 = X20
& n4 = X21 )
& ~ ( n0 = X21
& n5 = X20 )
& ~ ( n3 = X21
& n5 = X20 )
& ~ ( n5 = X20
& n4 = X21 )
& ~ ( n3 = X21
& n3 = X20 )
& n3 = X21
& ~ ( n5 = X20
& n5 = X21 )
& ~ ( n4 = X21
& n2 = X20 )
& ~ ( n0 = X20
& n4 = X21 )
& n3 = X20 )
=> n0 = a_select2(xinit_noise,n3) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X19,X3] :
( ( 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) )
& ! [X13,X17] :
( ( 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) ) )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(n0,X21)
& leq(X20,n5)
& leq(n0,X20) )
=> ( ( ~ ( n5 = X21
& n2 = X20 )
& ~ ( n5 = X20
& n1 = X21 )
& ~ ( n4 = X20
& n0 = X21 )
& ~ ( n1 = X21
& n3 = X20 )
& ~ ( n5 = X21
& n4 = X20 )
& n0 = X21
& ~ ( n1 = X20
& n4 = X21 )
& ~ ( n3 = X20
& n2 = X21 )
& ~ ( n0 = X20
& n5 = X21 )
& ~ ( n4 = X21
& n3 = X20 )
& ~ ( n4 = X20
& n2 = X21 )
& ~ ( n3 = X21
& n4 = X20 )
& ~ ( n5 = X21
& n1 = X20 )
& ~ ( n4 = X20
& n1 = X21 )
& ~ ( n5 = X20
& n2 = X21 )
& ~ ( n3 = X20
& n5 = X21 )
& ~ ( n4 = X20
& n4 = X21 )
& ~ ( n0 = X21
& n5 = X20 )
& ~ ( n3 = X21
& n5 = X20 )
& ~ ( n5 = X20
& n4 = X21 )
& ~ ( n3 = X21
& n3 = X20 )
& n3 = X21
& ~ ( n5 = X20
& n5 = X21 )
& ~ ( n4 = X21
& n2 = X20 )
& ~ ( n0 = X20
& n4 = X21 )
& n3 = X20 )
=> n0 = a_select2(xinit_noise,n3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0681) ).
fof(f161,plain,
n3 = sK1,
inference(cnf_transformation,[],[f133]) ).
fof(f204,plain,
( n3 = sK0
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl3_3
<=> n3 = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f246,plain,
~ spl3_1,
inference(avatar_split_clause,[],[f245,f194]) ).
fof(f245,plain,
n0 != sK0,
inference(forward_demodulation,[],[f244,f235]) ).
fof(f244,plain,
n3 != sK0,
inference(subsumption_resolution,[],[f243,f235]) ).
fof(f243,plain,
( n3 != sK0
| n0 != n3 ),
inference(forward_demodulation,[],[f175,f165]) ).
fof(f175,plain,
( n3 != sK1
| n3 != sK0 ),
inference(cnf_transformation,[],[f133]) ).
fof(f234,plain,
spl3_3,
inference(avatar_split_clause,[],[f168,f203]) ).
fof(f168,plain,
n3 = sK0,
inference(cnf_transformation,[],[f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV228+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
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 19:22:46 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 % (29492)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.48 % (29492)First to succeed.
% 0.21/0.48 % (29517)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.49 % (29492)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (29492)------------------------------
% 0.21/0.49 % (29492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (29492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (29492)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (29492)Memory used [KB]: 6140
% 0.21/0.49 % (29492)Time elapsed: 0.007 s
% 0.21/0.49 % (29492)Instructions burned: 6 (million)
% 0.21/0.49 % (29492)------------------------------
% 0.21/0.49 % (29492)------------------------------
% 0.21/0.49 % (29483)Success in time 0.127 s
%------------------------------------------------------------------------------