TSTP Solution File: SWV121+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV121+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 : n021.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 18:44:14 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 100 ( 18 equ)
% Maximal formula atoms : 16 ( 10 avg)
% Number of connectives : 132 ( 42 ~; 36 |; 42 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f236,plain,
$false,
inference(subsumption_resolution,[],[f183,f205]) ).
fof(f205,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).
fof(f183,plain,
~ true,
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ~ true
& ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X0)
| a_select3(q_ds1_filter,X1,X0) = a_select3(q_ds1_filter,X0,X1)
| ~ leq(n0,X1) )
& ! [X2,X3] :
( ~ leq(n0,X3)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X2)
| a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X2,minus(n6,n1)) )
& ! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(n0,X5)
| a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1)) ) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
( ~ true
& ! [X3,X2] :
( ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X3)
| a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3)
| ~ leq(n0,X2) )
& ! [X5,X4] :
( ~ leq(n0,X4)
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1)) )
& ! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0)
| ~ leq(X1,minus(n3,n1))
| ~ leq(X0,minus(n3,n1)) ) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
( ~ true
& ! [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X1)
| ~ leq(X1,minus(n3,n1)) )
& ! [X4,X5] :
( a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X4)
| ~ leq(n0,X5) )
& ! [X3,X2] :
( a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3)
| ~ leq(n0,X3)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X2) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
~ ( ( ! [X0,X1] :
( ( leq(n0,X0)
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(X1,minus(n3,n1)) )
=> a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) )
& ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X4)
& leq(n0,X5) )
=> a_select3(pminus_ds1_filter,X4,X5) = a_select3(pminus_ds1_filter,X5,X4) )
& ! [X3,X2] :
( ( leq(n0,X3)
& leq(X3,minus(n6,n1))
& leq(X2,minus(n6,n1))
& leq(n0,X2) )
=> a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3) ) )
=> true ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X19,X3] :
( ( leq(X3,minus(n3,n1))
& leq(n0,X3)
& leq(X19,minus(n3,n1))
& leq(n0,X19) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( leq(X17,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X17)
& leq(X13,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& ! [X21,X20] :
( ( leq(n0,X21)
& leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) ) )
=> true ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X19,X3] :
( ( leq(X3,minus(n3,n1))
& leq(n0,X3)
& leq(X19,minus(n3,n1))
& leq(n0,X19) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( leq(X17,minus(n6,n1))
& leq(n0,X13)
& leq(n0,X17)
& leq(X13,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
& ! [X21,X20] :
( ( leq(n0,X21)
& leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) ) )
=> true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0014) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV121+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:57:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (4661)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)
% 0.20/0.49 % (4661)First to succeed.
% 0.20/0.50 % (4661)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (4661)------------------------------
% 0.20/0.50 % (4661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (4661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (4661)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (4661)Memory used [KB]: 6012
% 0.20/0.50 % (4661)Time elapsed: 0.005 s
% 0.20/0.50 % (4661)Instructions burned: 4 (million)
% 0.20/0.50 % (4661)------------------------------
% 0.20/0.50 % (4661)------------------------------
% 0.20/0.50 % (4650)Success in time 0.145 s
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