TSTP Solution File: SWV230+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV230+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 : n016.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 18:55:52 EDT 2022
% Result : Theorem 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 321 ( 223 equ)
% Maximal formula atoms : 54 ( 20 avg)
% Number of connectives : 482 ( 177 ~; 86 |; 203 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 12 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 44 ( 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f507,plain,
$false,
inference(subsumption_resolution,[],[f454,f365]) ).
fof(f365,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f454,plain,
gt(sK9,sK9),
inference(definition_unfolding,[],[f359,f291,f286]) ).
fof(f286,plain,
n4 = sK9,
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( leq(sK9,n5)
& n5 = sK9
& ( n5 != sK10
| n2 != sK9 )
& ( n2 != sK10
| n5 != sK9 )
& ( n0 != sK9
| n5 != sK10 )
& ( n5 != sK10
| n4 != sK9 )
& n4 = sK9
& leq(sK10,n5)
& ( n5 != sK9
| n5 != sK10 )
& ( n4 != sK10
| n5 != sK9 )
& ( n1 != sK9
| n5 != sK10 )
& leq(n0,sK10)
& n0 != a_select2(xinit_noise,n4)
& n1 = sK10
& ( n5 != sK9
| n3 != sK10 )
& ( n5 != sK10
| n3 != sK9 )
& leq(n0,sK9)
& n4 = sK10
& ! [X2,X3] :
( ~ leq(X2,n2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X3)
| ~ leq(X3,n2)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( ~ leq(X4,n5)
| ~ leq(X5,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f187,f188]) ).
fof(f188,plain,
( ? [X0,X1] :
( leq(X0,n5)
& n5 = X0
& ( n5 != X1
| n2 != X0 )
& ( n2 != X1
| n5 != X0 )
& ( n0 != X0
| n5 != X1 )
& ( n5 != X1
| n4 != X0 )
& n4 = X0
& leq(X1,n5)
& ( n5 != X0
| n5 != X1 )
& ( n4 != X1
| n5 != X0 )
& ( n1 != X0
| n5 != X1 )
& leq(n0,X1)
& n0 != a_select2(xinit_noise,n4)
& n1 = X1
& ( n5 != X0
| n3 != X1 )
& ( n5 != X1
| n3 != X0 )
& leq(n0,X0)
& n4 = X1 )
=> ( leq(sK9,n5)
& n5 = sK9
& ( n5 != sK10
| n2 != sK9 )
& ( n2 != sK10
| n5 != sK9 )
& ( n0 != sK9
| n5 != sK10 )
& ( n5 != sK10
| n4 != sK9 )
& n4 = sK9
& leq(sK10,n5)
& ( n5 != sK9
| n5 != sK10 )
& ( n4 != sK10
| n5 != sK9 )
& ( n1 != sK9
| n5 != sK10 )
& leq(n0,sK10)
& n0 != a_select2(xinit_noise,n4)
& n1 = sK10
& ( n5 != sK9
| n3 != sK10 )
& ( n5 != sK10
| n3 != sK9 )
& leq(n0,sK9)
& n4 = sK10 ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
( ? [X0,X1] :
( leq(X0,n5)
& n5 = X0
& ( n5 != X1
| n2 != X0 )
& ( n2 != X1
| n5 != X0 )
& ( n0 != X0
| n5 != X1 )
& ( n5 != X1
| n4 != X0 )
& n4 = X0
& leq(X1,n5)
& ( n5 != X0
| n5 != X1 )
& ( n4 != X1
| n5 != X0 )
& ( n1 != X0
| n5 != X1 )
& leq(n0,X1)
& n0 != a_select2(xinit_noise,n4)
& n1 = X1
& ( n5 != X0
| n3 != X1 )
& ( n5 != X1
| n3 != X0 )
& leq(n0,X0)
& n4 = X1 )
& ! [X2,X3] :
( ~ leq(X2,n2)
| a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(n0,X3)
| ~ leq(X3,n2)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( ~ leq(X4,n5)
| ~ leq(X5,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4) ) ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
( ? [X4,X5] :
( leq(X4,n5)
& n5 = X4
& ( n5 != X5
| n2 != X4 )
& ( n2 != X5
| n5 != X4 )
& ( n0 != X4
| n5 != X5 )
& ( n5 != X5
| n4 != X4 )
& n4 = X4
& leq(X5,n5)
& ( n5 != X4
| n5 != X5 )
& ( n4 != X5
| n5 != X4 )
& ( n1 != X4
| n5 != X5 )
& leq(n0,X5)
& n0 != a_select2(xinit_noise,n4)
& n1 = X5
& ( n5 != X4
| n3 != X5 )
& ( n5 != X5
| n3 != X4 )
& leq(n0,X4)
& n4 = X5 )
& ! [X0,X1] :
( ~ leq(X0,n2)
| a_select3(r_ds1_filter,X1,X0) = a_select3(r_ds1_filter,X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3) ) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
( ? [X5,X4] :
( n0 != a_select2(xinit_noise,n4)
& ( n4 != X5
| n5 != X4 )
& ( n5 != X5
| n4 != X4 )
& ( n2 != X5
| n5 != X4 )
& ( n5 != X5
| n3 != X4 )
& ( n5 != X4
| n3 != X5 )
& n4 = X5
& n4 = X4
& ( n5 != X5
| n2 != X4 )
& ( n1 != X4
| n5 != X5 )
& n5 = X4
& ( n5 != X4
| n5 != X5 )
& n1 = X5
& ( n0 != X4
| n5 != X5 )
& leq(n0,X4)
& leq(X5,n5)
& leq(n0,X5)
& leq(X4,n5) )
& ! [X3,X2] :
( a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3)
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| ~ leq(X3,n5)
| ~ leq(n0,X3) )
& ! [X1,X0] :
( a_select3(r_ds1_filter,X1,X0) = a_select3(r_ds1_filter,X0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
~ ( ( ! [X3,X2] :
( ( leq(n0,X2)
& leq(X2,n5)
& leq(X3,n5)
& leq(n0,X3) )
=> a_select3(q_ds1_filter,X3,X2) = a_select3(q_ds1_filter,X2,X3) )
& ! [X1,X0] :
( ( 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) ) )
=> ! [X5,X4] :
( ( leq(n0,X4)
& leq(X5,n5)
& leq(n0,X5)
& leq(X4,n5) )
=> ( ( ~ ( n4 = X5
& n5 = X4 )
& ~ ( n4 = X4
& n5 = X5 )
& ~ ( n2 = X5
& n5 = X4 )
& ~ ( n3 = X4
& n5 = X5 )
& ~ ( n3 = X5
& n5 = X4 )
& n4 = X5
& n4 = X4
& ~ ( n2 = X4
& n5 = X5 )
& ~ ( n1 = X4
& n5 = X5 )
& n5 = X4
& ~ ( n5 = X4
& n5 = X5 )
& n1 = X5
& ~ ( n0 = X4
& n5 = X5 ) )
=> n0 = a_select2(xinit_noise,n4) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3,X19] :
( ( leq(X3,n2)
& leq(n0,X3)
& leq(X19,n2)
& leq(n0,X19) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( 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) ) )
=> ! [X20,X21] :
( ( leq(X20,n5)
& leq(n0,X21)
& leq(X21,n5)
& leq(n0,X20) )
=> ( ( n1 = X21
& ~ ( n2 = X21
& n5 = X20 )
& ~ ( n5 = X21
& n3 = X20 )
& ~ ( n4 = X20
& n5 = X21 )
& n4 = X20
& ~ ( n1 = X20
& n5 = X21 )
& n5 = X20
& n4 = X21
& ~ ( n5 = X21
& n2 = X20 )
& ~ ( n5 = X20
& n5 = X21 )
& ~ ( n0 = X20
& n5 = X21 )
& ~ ( n4 = X21
& n5 = X20 )
& ~ ( n5 = X20
& n3 = X21 ) )
=> n0 = a_select2(xinit_noise,n4) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X3,X19] :
( ( leq(X3,n2)
& leq(n0,X3)
& leq(X19,n2)
& leq(n0,X19) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( 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) ) )
=> ! [X20,X21] :
( ( leq(X20,n5)
& leq(n0,X21)
& leq(X21,n5)
& leq(n0,X20) )
=> ( ( n1 = X21
& ~ ( n2 = X21
& n5 = X20 )
& ~ ( n5 = X21
& n3 = X20 )
& ~ ( n4 = X20
& n5 = X21 )
& n4 = X20
& ~ ( n1 = X20
& n5 = X21 )
& n5 = X20
& n4 = X21
& ~ ( n5 = X21
& n2 = X20 )
& ~ ( n5 = X20
& n5 = X21 )
& ~ ( n0 = X20
& n5 = X21 )
& ~ ( n4 = X21
& n5 = X20 )
& ~ ( n5 = X20
& n3 = X21 ) )
=> n0 = a_select2(xinit_noise,n4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0761) ).
fof(f291,plain,
n5 = sK9,
inference(cnf_transformation,[],[f189]) ).
fof(f359,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV230+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 30 19:30:16 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.51 % (11544)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.22/0.51 % (11540)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.51 % (11544)First to succeed.
% 0.22/0.51 % (11560)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.22/0.52 % (11552)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.22/0.53 % (11552)Also succeeded, but the first one will report.
% 0.22/0.53 % (11544)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Theorem for theBenchmark
% 0.22/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53 % (11544)------------------------------
% 0.22/0.53 % (11544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (11544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (11544)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (11544)Memory used [KB]: 5756
% 0.22/0.53 % (11544)Time elapsed: 0.012 s
% 0.22/0.53 % (11544)Instructions burned: 12 (million)
% 0.22/0.53 % (11544)------------------------------
% 0.22/0.53 % (11544)------------------------------
% 0.22/0.53 % (11531)Success in time 0.163 s
%------------------------------------------------------------------------------