TSTP Solution File: SWV220+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV220+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 : n024.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 18:55:51 EDT 2022
% Result : Theorem 1.30s 0.54s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 358 ( 321 equ)
% Maximal formula atoms : 78 ( 27 avg)
% Number of connectives : 582 ( 237 ~; 92 |; 246 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 17 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 14 ( 6 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f562,plain,
$false,
inference(trivial_inequality_removal,[],[f468]) ).
fof(f468,plain,
( sK8 != sK8
| sK9 != sK9 ),
inference(definition_unfolding,[],[f331,f340,f336]) ).
fof(f336,plain,
n3 = sK8,
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
( ( n2 != sK9
| n4 != sK8 )
& ( n2 != sK8
| n5 != sK9 )
& n5 = sK9
& ( n5 != sK8
| n1 != sK9 )
& ( n2 != sK9
| n5 != sK8 )
& ( n4 != sK8
| n3 != sK9 )
& n3 = sK8
& leq(n0,sK9)
& n0 != times(divide(n1,n400),a_select2(sigma,n3))
& ( n4 != sK8
| n0 != sK9 )
& ( n5 != sK8
| n3 != sK9 )
& ( n5 != sK9
| n3 != sK8 )
& leq(sK9,n5)
& leq(n0,sK8)
& leq(sK8,n5)
& ( n5 != sK8
| n5 != sK9 )
& ( n3 != sK8
| n4 != sK9 )
& ( n4 != sK9
| n5 != sK8 )
& ( n4 != sK8
| n5 != sK9 )
& ( n0 != sK9
| n5 != sK8 )
& n3 = sK9
& n1 = sK8
& ( n4 != sK9
| n4 != sK8 )
& ( n4 != sK8
| n1 != sK9 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f205,f206]) ).
fof(f206,plain,
( ? [X0,X1] :
( ( n2 != X1
| n4 != X0 )
& ( n2 != X0
| n5 != X1 )
& n5 = X1
& ( n5 != X0
| n1 != X1 )
& ( n2 != X1
| n5 != X0 )
& ( n4 != X0
| n3 != X1 )
& n3 = X0
& leq(n0,X1)
& n0 != times(divide(n1,n400),a_select2(sigma,n3))
& ( n4 != X0
| n0 != X1 )
& ( n5 != X0
| n3 != X1 )
& ( n5 != X1
| n3 != X0 )
& leq(X1,n5)
& leq(n0,X0)
& leq(X0,n5)
& ( n5 != X0
| n5 != X1 )
& ( n3 != X0
| n4 != X1 )
& ( n4 != X1
| n5 != X0 )
& ( n4 != X0
| n5 != X1 )
& ( n0 != X1
| n5 != X0 )
& n3 = X1
& n1 = X0
& ( n4 != X1
| n4 != X0 )
& ( n4 != X0
| n1 != X1 ) )
=> ( ( n2 != sK9
| n4 != sK8 )
& ( n2 != sK8
| n5 != sK9 )
& n5 = sK9
& ( n5 != sK8
| n1 != sK9 )
& ( n2 != sK9
| n5 != sK8 )
& ( n4 != sK8
| n3 != sK9 )
& n3 = sK8
& leq(n0,sK9)
& n0 != times(divide(n1,n400),a_select2(sigma,n3))
& ( n4 != sK8
| n0 != sK9 )
& ( n5 != sK8
| n3 != sK9 )
& ( n5 != sK9
| n3 != sK8 )
& leq(sK9,n5)
& leq(n0,sK8)
& leq(sK8,n5)
& ( n5 != sK8
| n5 != sK9 )
& ( n3 != sK8
| n4 != sK9 )
& ( n4 != sK9
| n5 != sK8 )
& ( n4 != sK8
| n5 != sK9 )
& ( n0 != sK9
| n5 != sK8 )
& n3 = sK9
& n1 = sK8
& ( n4 != sK9
| n4 != sK8 )
& ( n4 != sK8
| n1 != sK9 ) ) ),
introduced(choice_axiom,[]) ).
fof(f205,plain,
? [X0,X1] :
( ( n2 != X1
| n4 != X0 )
& ( n2 != X0
| n5 != X1 )
& n5 = X1
& ( n5 != X0
| n1 != X1 )
& ( n2 != X1
| n5 != X0 )
& ( n4 != X0
| n3 != X1 )
& n3 = X0
& leq(n0,X1)
& n0 != times(divide(n1,n400),a_select2(sigma,n3))
& ( n4 != X0
| n0 != X1 )
& ( n5 != X0
| n3 != X1 )
& ( n5 != X1
| n3 != X0 )
& leq(X1,n5)
& leq(n0,X0)
& leq(X0,n5)
& ( n5 != X0
| n5 != X1 )
& ( n3 != X0
| n4 != X1 )
& ( n4 != X1
| n5 != X0 )
& ( n4 != X0
| n5 != X1 )
& ( n0 != X1
| n5 != X0 )
& n3 = X1
& n1 = X0
& ( n4 != X1
| n4 != X0 )
& ( n4 != X0
| n1 != X1 ) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
? [X1,X0] :
( ( n2 != X0
| n4 != X1 )
& ( n2 != X1
| n5 != X0 )
& n5 = X0
& ( n5 != X1
| n1 != X0 )
& ( n2 != X0
| n5 != X1 )
& ( n4 != X1
| n3 != X0 )
& n3 = X1
& leq(n0,X0)
& n0 != times(divide(n1,n400),a_select2(sigma,n3))
& ( n4 != X1
| n0 != X0 )
& ( n5 != X1
| n3 != X0 )
& ( n5 != X0
| n3 != X1 )
& leq(X0,n5)
& leq(n0,X1)
& leq(X1,n5)
& ( n5 != X1
| n5 != X0 )
& ( n3 != X1
| n4 != X0 )
& ( n4 != X0
| n5 != X1 )
& ( n4 != X1
| n5 != X0 )
& ( n0 != X0
| n5 != X1 )
& n3 = X0
& n1 = X1
& ( n4 != X0
| n4 != X1 )
& ( n4 != X1
| n1 != X0 ) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
? [X1,X0] :
( n0 != times(divide(n1,n400),a_select2(sigma,n3))
& ( n5 != X1
| n3 != X0 )
& n3 = X1
& ( n4 != X1
| n5 != X0 )
& ( n3 != X1
| n4 != X0 )
& n3 = X0
& ( n5 != X0
| n3 != X1 )
& n5 = X0
& ( n4 != X1
| n0 != X0 )
& ( n5 != X1
| n1 != X0 )
& n1 = X1
& ( n4 != X0
| n4 != X1 )
& ( n2 != X1
| n5 != X0 )
& ( n4 != X0
| n5 != X1 )
& ( n5 != X1
| n5 != X0 )
& ( n4 != X1
| n3 != X0 )
& ( n4 != X1
| n1 != X0 )
& ( n2 != X0
| n4 != X1 )
& ( n2 != X0
| n5 != X1 )
& ( n0 != X0
| n5 != X1 )
& leq(X0,n5)
& leq(X1,n5)
& leq(n0,X0)
& leq(n0,X1) ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,plain,
~ ! [X1,X0] :
( ( leq(X0,n5)
& leq(X1,n5)
& leq(n0,X0)
& leq(n0,X1) )
=> ( ( ~ ( n3 = X0
& n5 = X1 )
& n3 = X1
& ~ ( n4 = X1
& n5 = X0 )
& ~ ( n4 = X0
& n3 = X1 )
& n3 = X0
& ~ ( n5 = X0
& n3 = X1 )
& n5 = X0
& ~ ( n4 = X1
& n0 = X0 )
& ~ ( n1 = X0
& n5 = X1 )
& n1 = X1
& ~ ( n4 = X0
& n4 = X1 )
& ~ ( n2 = X1
& n5 = X0 )
& ~ ( n4 = X0
& n5 = X1 )
& ~ ( n5 = X1
& n5 = X0 )
& ~ ( n4 = X1
& n3 = X0 )
& ~ ( n1 = X0
& n4 = X1 )
& ~ ( n2 = X0
& n4 = X1 )
& ~ ( n2 = X0
& n5 = X1 )
& ~ ( n0 = X0
& n5 = X1 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n3)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X17,X13] :
( ( leq(n0,X17)
& leq(n0,X13)
& leq(X17,n5)
& leq(X13,n5) )
=> ( ( ~ ( n3 = X13
& n5 = X17 )
& ~ ( n4 = X13
& n3 = X17 )
& n5 = X17
& ~ ( n4 = X13
& n2 = X17 )
& ~ ( n5 = X17
& n2 = X13 )
& ~ ( n4 = X13
& n1 = X17 )
& n3 = X17
& n1 = X13
& ~ ( n4 = X13
& n5 = X17 )
& ~ ( n5 = X13
& n2 = X17 )
& ~ ( n4 = X17
& n5 = X13 )
& ~ ( n3 = X13
& n4 = X17 )
& n3 = X13
& ~ ( n5 = X13
& n5 = X17 )
& ~ ( n4 = X17
& n4 = X13 )
& ~ ( n0 = X17
& n5 = X13 )
& ~ ( n0 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n1 = X17 )
& ~ ( n3 = X17
& n5 = X13 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n3)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X17,X13] :
( ( leq(n0,X17)
& leq(n0,X13)
& leq(X17,n5)
& leq(X13,n5) )
=> ( ( ~ ( n3 = X13
& n5 = X17 )
& ~ ( n4 = X13
& n3 = X17 )
& n5 = X17
& ~ ( n4 = X13
& n2 = X17 )
& ~ ( n5 = X17
& n2 = X13 )
& ~ ( n4 = X13
& n1 = X17 )
& n3 = X17
& n1 = X13
& ~ ( n4 = X13
& n5 = X17 )
& ~ ( n5 = X13
& n2 = X17 )
& ~ ( n4 = X17
& n5 = X13 )
& ~ ( n3 = X13
& n4 = X17 )
& n3 = X13
& ~ ( n5 = X13
& n5 = X17 )
& ~ ( n4 = X17
& n4 = X13 )
& ~ ( n0 = X17
& n5 = X13 )
& ~ ( n0 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n1 = X17 )
& ~ ( n3 = X17
& n5 = X13 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0361) ).
fof(f340,plain,
n5 = sK9,
inference(cnf_transformation,[],[f207]) ).
fof(f331,plain,
( n5 != sK9
| n3 != sK8 ),
inference(cnf_transformation,[],[f207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV220+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.14 % 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 : n024.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 19:09:34 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (3882)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (3898)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.52 % (3890)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.52 % (3887)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.52 % (3881)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (3881)Instruction limit reached!
% 0.21/0.52 % (3881)------------------------------
% 0.21/0.52 % (3881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (3881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (3881)Termination reason: Unknown
% 0.21/0.52 % (3881)Termination phase: Preprocessing 1
% 0.21/0.52
% 0.21/0.52 % (3881)Memory used [KB]: 895
% 0.21/0.52 % (3881)Time elapsed: 0.002 s
% 0.21/0.52 % (3881)Instructions burned: 2 (million)
% 0.21/0.52 % (3881)------------------------------
% 0.21/0.52 % (3881)------------------------------
% 0.21/0.52 % (3898)First to succeed.
% 0.21/0.52 % (3895)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)
% 0.21/0.53 % (3879)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (3877)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.54 % (3889)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.30/0.54 % (3898)Refutation found. Thanks to Tanya!
% 1.30/0.54 % SZS status Theorem for theBenchmark
% 1.30/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.54 % (3898)------------------------------
% 1.30/0.54 % (3898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.54 % (3898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.54 % (3898)Termination reason: Refutation
% 1.30/0.54
% 1.30/0.54 % (3898)Memory used [KB]: 5756
% 1.30/0.54 % (3898)Time elapsed: 0.009 s
% 1.30/0.54 % (3898)Instructions burned: 11 (million)
% 1.30/0.54 % (3898)------------------------------
% 1.30/0.54 % (3898)------------------------------
% 1.30/0.54 % (3872)Success in time 0.176 s
%------------------------------------------------------------------------------