TSTP Solution File: SWV231+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n019.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 18:55:53 EDT 2022
% Result : Theorem 0.22s 0.51s
% 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 : 31 ( 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(f477,plain,
$false,
inference(trivial_inequality_removal,[],[f429]) ).
fof(f429,plain,
( sK25 != sK25
| sK26 != sK26 ),
inference(definition_unfolding,[],[f337,f330,f327]) ).
fof(f327,plain,
n3 = sK26,
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
( ( n0 != sK25
| n5 != sK26 )
& leq(n0,sK26)
& ( n1 != sK25
| n4 != sK26 )
& leq(sK25,n5)
& ( n4 != sK26
| n4 != sK25 )
& ( n4 != sK26
| n5 != sK25 )
& ( n4 != sK26
| n3 != sK25 )
& ( n4 != sK25
| n5 != sK26 )
& leq(n0,sK25)
& ( n1 != sK25
| n5 != sK26 )
& ( n5 != sK25
| n3 != sK26 )
& leq(sK26,n5)
& ( n2 != sK25
| n5 != sK26 )
& ( n5 != sK26
| n5 != sK25 )
& ( n2 != sK25
| n4 != sK26 )
& ( n4 != sK26
| n0 != sK25 )
& n4 = sK25
& n5 = sK25
& n5 = sK26
& ( n5 != sK26
| n3 != sK25 )
& n3 = sK26
& n0 != a_select2(xinit_noise,n5)
& ! [X2,X3] :
( ~ leq(X3,n2)
| ~ leq(X2,n2)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X3,X2) = a_select3(r_ds1_filter,X2,X3)
| ~ leq(n0,X3) )
& ! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(X5,n5)
| ~ leq(n0,X5)
| ~ leq(X4,n5)
| a_select3(q_ds1_filter,X5,X4) = a_select3(q_ds1_filter,X4,X5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f222,f223]) ).
fof(f223,plain,
( ? [X0,X1] :
( ( n0 != X0
| n5 != X1 )
& leq(n0,X1)
& ( n1 != X0
| n4 != X1 )
& leq(X0,n5)
& ( n4 != X1
| n4 != X0 )
& ( n4 != X1
| n5 != X0 )
& ( n4 != X1
| n3 != X0 )
& ( n4 != X0
| n5 != X1 )
& leq(n0,X0)
& ( n1 != X0
| n5 != X1 )
& ( n5 != X0
| n3 != X1 )
& leq(X1,n5)
& ( n2 != X0
| n5 != X1 )
& ( n5 != X1
| n5 != X0 )
& ( n2 != X0
| n4 != X1 )
& ( n4 != X1
| n0 != X0 )
& n4 = X0
& n5 = X0
& n5 = X1
& ( n5 != X1
| n3 != X0 )
& n3 = X1
& n0 != a_select2(xinit_noise,n5) )
=> ( ( n0 != sK25
| n5 != sK26 )
& leq(n0,sK26)
& ( n1 != sK25
| n4 != sK26 )
& leq(sK25,n5)
& ( n4 != sK26
| n4 != sK25 )
& ( n4 != sK26
| n5 != sK25 )
& ( n4 != sK26
| n3 != sK25 )
& ( n4 != sK25
| n5 != sK26 )
& leq(n0,sK25)
& ( n1 != sK25
| n5 != sK26 )
& ( n5 != sK25
| n3 != sK26 )
& leq(sK26,n5)
& ( n2 != sK25
| n5 != sK26 )
& ( n5 != sK26
| n5 != sK25 )
& ( n2 != sK25
| n4 != sK26 )
& ( n4 != sK26
| n0 != sK25 )
& n4 = sK25
& n5 = sK25
& n5 = sK26
& ( n5 != sK26
| n3 != sK25 )
& n3 = sK26
& n0 != a_select2(xinit_noise,n5) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
( ? [X0,X1] :
( ( n0 != X0
| n5 != X1 )
& leq(n0,X1)
& ( n1 != X0
| n4 != X1 )
& leq(X0,n5)
& ( n4 != X1
| n4 != X0 )
& ( n4 != X1
| n5 != X0 )
& ( n4 != X1
| n3 != X0 )
& ( n4 != X0
| n5 != X1 )
& leq(n0,X0)
& ( n1 != X0
| n5 != X1 )
& ( n5 != X0
| n3 != X1 )
& leq(X1,n5)
& ( n2 != X0
| n5 != X1 )
& ( n5 != X1
| n5 != X0 )
& ( n2 != X0
| n4 != X1 )
& ( n4 != X1
| n0 != X0 )
& n4 = X0
& n5 = X0
& n5 = X1
& ( n5 != X1
| n3 != X0 )
& n3 = X1
& n0 != a_select2(xinit_noise,n5) )
& ! [X2,X3] :
( ~ leq(X3,n2)
| ~ leq(X2,n2)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X3,X2) = a_select3(r_ds1_filter,X2,X3)
| ~ leq(n0,X3) )
& ! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(X5,n5)
| ~ leq(n0,X5)
| ~ leq(X4,n5)
| a_select3(q_ds1_filter,X5,X4) = a_select3(q_ds1_filter,X4,X5) ) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
( ? [X4,X5] :
( ( n0 != X4
| n5 != X5 )
& leq(n0,X5)
& ( n1 != X4
| n4 != X5 )
& leq(X4,n5)
& ( n4 != X5
| n4 != X4 )
& ( n4 != X5
| n5 != X4 )
& ( n4 != X5
| n3 != X4 )
& ( n4 != X4
| n5 != X5 )
& leq(n0,X4)
& ( n1 != X4
| n5 != X5 )
& ( n5 != X4
| n3 != X5 )
& leq(X5,n5)
& ( n2 != X4
| n5 != X5 )
& ( n5 != X5
| n5 != X4 )
& ( n2 != X4
| n4 != X5 )
& ( n4 != X5
| n0 != X4 )
& n4 = X4
& n5 = X4
& n5 = X5
& ( n5 != X5
| n3 != X4 )
& n3 = X5
& n0 != a_select2(xinit_noise,n5) )
& ! [X2,X3] :
( ~ leq(X3,n2)
| ~ leq(X2,n2)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X3,X2) = a_select3(r_ds1_filter,X2,X3)
| ~ leq(n0,X3) )
& ! [X1,X0] :
( ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| a_select3(q_ds1_filter,X1,X0) = a_select3(q_ds1_filter,X0,X1) ) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
( ? [X4,X5] :
( n0 != a_select2(xinit_noise,n5)
& n4 = X4
& ( n1 != X4
| n5 != X5 )
& ( n4 != X5
| n4 != X4 )
& n3 = X5
& ( n0 != X4
| n5 != X5 )
& ( n1 != X4
| n4 != X5 )
& n5 = X5
& ( n4 != X5
| n0 != X4 )
& ( n4 != X5
| n3 != X4 )
& ( n4 != X4
| n5 != X5 )
& ( n5 != X5
| n5 != X4 )
& ( n2 != X4
| n4 != X5 )
& ( n4 != X5
| n5 != X4 )
& n5 = X4
& ( n2 != X4
| n5 != X5 )
& ( n5 != X4
| n3 != X5 )
& ( n5 != X5
| n3 != X4 )
& leq(n0,X5)
& leq(n0,X4)
& leq(X5,n5)
& leq(X4,n5) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X3,X2) = a_select3(r_ds1_filter,X2,X3)
| ~ leq(X2,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X3,n2) )
& ! [X0,X1] :
( a_select3(q_ds1_filter,X1,X0) = a_select3(q_ds1_filter,X0,X1)
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n5) ) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
~ ( ( ! [X2,X3] :
( ( leq(X2,n2)
& leq(n0,X2)
& leq(n0,X3)
& leq(X3,n2) )
=> a_select3(r_ds1_filter,X3,X2) = a_select3(r_ds1_filter,X2,X3) )
& ! [X0,X1] :
( ( leq(X0,n5)
& leq(n0,X0)
& leq(n0,X1)
& leq(X1,n5) )
=> a_select3(q_ds1_filter,X1,X0) = a_select3(q_ds1_filter,X0,X1) ) )
=> ! [X4,X5] :
( ( leq(n0,X5)
& leq(n0,X4)
& leq(X5,n5)
& leq(X4,n5) )
=> ( ( n4 = X4
& ~ ( n5 = X5
& n1 = X4 )
& ~ ( n4 = X4
& n4 = X5 )
& n3 = X5
& ~ ( n5 = X5
& n0 = X4 )
& ~ ( n1 = X4
& n4 = X5 )
& n5 = X5
& ~ ( n0 = X4
& n4 = X5 )
& ~ ( n3 = X4
& n4 = X5 )
& ~ ( n4 = X4
& n5 = X5 )
& ~ ( n5 = X5
& n5 = X4 )
& ~ ( n2 = X4
& n4 = X5 )
& ~ ( n4 = X5
& n5 = X4 )
& n5 = X4
& ~ ( n5 = X5
& n2 = X4 )
& ~ ( n5 = X4
& n3 = X5 )
& ~ ( n5 = X5
& n3 = X4 ) )
=> n0 = a_select2(xinit_noise,n5) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X13,X17] :
( ( leq(n0,X13)
& leq(X17,n5)
& leq(X13,n5)
& leq(n0,X17) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& ! [X19,X3] :
( ( leq(n0,X3)
& leq(X3,n2)
& leq(X19,n2)
& leq(n0,X19) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) ) )
=> ! [X21,X20] :
( ( leq(X21,n5)
& leq(n0,X20)
& leq(X20,n5)
& leq(n0,X21) )
=> ( ( ~ ( n0 = X21
& n5 = X20 )
& n5 = X20
& n5 = X21
& ~ ( n5 = X20
& n2 = X21 )
& ~ ( n4 = X20
& n2 = X21 )
& ~ ( n5 = X20
& n4 = X21 )
& ~ ( n5 = X20
& n5 = X21 )
& n3 = X20
& ~ ( n1 = X21
& n4 = X20 )
& ~ ( n4 = X20
& n3 = X21 )
& ~ ( n4 = X20
& n5 = X21 )
& n4 = X21
& ~ ( n3 = X20
& n5 = X21 )
& ~ ( n4 = X20
& n4 = X21 )
& ~ ( n1 = X21
& n5 = X20 )
& ~ ( n4 = X20
& n0 = X21 )
& ~ ( n3 = X21
& n5 = X20 ) )
=> n0 = a_select2(xinit_noise,n5) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X13,X17] :
( ( leq(n0,X13)
& leq(X17,n5)
& leq(X13,n5)
& leq(n0,X17) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& ! [X19,X3] :
( ( leq(n0,X3)
& leq(X3,n2)
& leq(X19,n2)
& leq(n0,X19) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) ) )
=> ! [X21,X20] :
( ( leq(X21,n5)
& leq(n0,X20)
& leq(X20,n5)
& leq(n0,X21) )
=> ( ( ~ ( n0 = X21
& n5 = X20 )
& n5 = X20
& n5 = X21
& ~ ( n5 = X20
& n2 = X21 )
& ~ ( n4 = X20
& n2 = X21 )
& ~ ( n5 = X20
& n4 = X21 )
& ~ ( n5 = X20
& n5 = X21 )
& n3 = X20
& ~ ( n1 = X21
& n4 = X20 )
& ~ ( n4 = X20
& n3 = X21 )
& ~ ( n4 = X20
& n5 = X21 )
& n4 = X21
& ~ ( n3 = X20
& n5 = X21 )
& ~ ( n4 = X20
& n4 = X21 )
& ~ ( n1 = X21
& n5 = X20 )
& ~ ( n4 = X20
& n0 = X21 )
& ~ ( n3 = X21
& n5 = X20 ) )
=> n0 = a_select2(xinit_noise,n5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0801) ).
fof(f330,plain,
n5 = sK25,
inference(cnf_transformation,[],[f224]) ).
fof(f337,plain,
( n5 != sK25
| n3 != sK26 ),
inference(cnf_transformation,[],[f224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV231+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n019.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 19:11:05 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.48 % (25722)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.48 % (25737)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.22/0.49 % (25722)Instruction limit reached!
% 0.22/0.49 % (25722)------------------------------
% 0.22/0.49 % (25722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.50 % (25730)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.22/0.50 % (25722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.50 % (25722)Termination reason: Unknown
% 0.22/0.50 % (25722)Termination phase: Function definition elimination
% 0.22/0.50
% 0.22/0.50 % (25722)Memory used [KB]: 1151
% 0.22/0.50 % (25722)Time elapsed: 0.007 s
% 0.22/0.50 % (25722)Instructions burned: 8 (million)
% 0.22/0.50 % (25722)------------------------------
% 0.22/0.50 % (25722)------------------------------
% 0.22/0.51 % (25737)First to succeed.
% 0.22/0.51 % (25737)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (25737)------------------------------
% 0.22/0.51 % (25737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51 % (25737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51 % (25737)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (25737)Memory used [KB]: 1279
% 0.22/0.51 % (25737)Time elapsed: 0.014 s
% 0.22/0.51 % (25737)Instructions burned: 10 (million)
% 0.22/0.51 % (25737)------------------------------
% 0.22/0.51 % (25737)------------------------------
% 0.22/0.51 % (25714)Success in time 0.15 s
%------------------------------------------------------------------------------