TSTP Solution File: SEU444+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU444+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : n002.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 18:34:00 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 6 unt; 0 def)
% Number of atoms : 64 ( 35 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 23 ~; 16 |; 12 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 36 ( 27 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f323,plain,
$false,
inference(avatar_sat_refutation,[],[f188,f305,f322]) ).
fof(f322,plain,
spl12_2,
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f321,plain,
( $false
| spl12_2 ),
inference(subsumption_resolution,[],[f319,f187]) ).
fof(f187,plain,
( k1_funct_5(sK7) != k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),sK5)
| spl12_2 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl12_2
<=> k1_funct_5(sK7) = k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f319,plain,
k1_funct_5(sK7) = k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),sK5),
inference(resolution,[],[f155,f170]) ).
fof(f170,plain,
m2_relset_1(sK7,sK6,sK5),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( m2_relset_1(sK7,sK6,sK5)
& ( k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),k10_relset_1(sK6,sK5,sK7,sK6)) != k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),k2_funct_5(sK7))
| k1_funct_5(sK7) != k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),sK5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f122,f123]) ).
fof(f123,plain,
( ? [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
& ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
| k1_funct_5(X2) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) )
=> ( m2_relset_1(sK7,sK6,sK5)
& ( k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),k10_relset_1(sK6,sK5,sK7,sK6)) != k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),k2_funct_5(sK7))
| k1_funct_5(sK7) != k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),sK5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
? [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
& ( k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2))
| k1_funct_5(X2) != k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
? [X2,X1,X0] :
( m2_relset_1(X0,X1,X2)
& ( k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),k2_funct_5(X0)) != k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),k10_relset_1(X1,X2,X0,X1))
| k1_funct_5(X0) != k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
~ ! [X2,X1,X0] :
( m2_relset_1(X0,X1,X2)
=> ( k1_funct_5(X0) = k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2)
& k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),k2_funct_5(X0)) = k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),k10_relset_1(X1,X2,X0,X1)) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X2,X1,X0] :
( m2_relset_1(X2,X1,X0)
=> ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X2,X1,X0] :
( m2_relset_1(X2,X1,X0)
=> ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k10_relset_1(X1,X0,X2,X1)) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),k2_funct_5(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_relset_2) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X2,X1)
| k1_funct_5(X0) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X0),X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ( k2_funct_5(X0) = k10_relset_1(X2,X1,X0,X2)
& k1_funct_5(X0) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X0),X1) )
| ~ m2_relset_1(X0,X2,X1) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X0,X2,X1] :
( ( k10_relset_1(X1,X2,X0,X1) = k2_funct_5(X0)
& k1_funct_5(X0) = k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2) )
| ~ m2_relset_1(X0,X1,X2) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X2,X0] :
( m2_relset_1(X0,X1,X2)
=> ( k10_relset_1(X1,X2,X0,X1) = k2_funct_5(X0)
& k1_funct_5(X0) = k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2) ) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X2,X1,X0] :
( m2_relset_1(X2,X1,X0)
=> ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_relset_2) ).
fof(f305,plain,
spl12_1,
inference(avatar_contradiction_clause,[],[f304]) ).
fof(f304,plain,
( $false
| spl12_1 ),
inference(trivial_inequality_removal,[],[f303]) ).
fof(f303,plain,
( k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),k2_funct_5(sK7)) != k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),k2_funct_5(sK7))
| spl12_1 ),
inference(backward_demodulation,[],[f183,f301]) ).
fof(f301,plain,
k10_relset_1(sK6,sK5,sK7,sK6) = k2_funct_5(sK7),
inference(resolution,[],[f156,f170]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X2,X1)
| k2_funct_5(X0) = k10_relset_1(X2,X1,X0,X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f183,plain,
( k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),k10_relset_1(sK6,sK5,sK7,sK6)) != k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),k2_funct_5(sK7))
| spl12_1 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl12_1
<=> k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),k10_relset_1(sK6,sK5,sK7,sK6)) = k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),k2_funct_5(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f188,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f169,f185,f181]) ).
fof(f169,plain,
( k1_funct_5(sK7) != k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),sK5)
| k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),k10_relset_1(sK6,sK5,sK7,sK6)) != k10_relset_1(sK5,sK6,k6_relset_1(sK6,sK5,sK7),k2_funct_5(sK7)) ),
inference(cnf_transformation,[],[f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU444+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.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 15:51:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (17410)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48 % (17402)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.49 % (17418)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.49 % (17396)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.49 % (17400)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (17418)First to succeed.
% 0.19/0.49 % (17421)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.50 % (17413)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)
% 0.19/0.50 % (17405)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (17426)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50 % (17409)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (17405)Instruction limit reached!
% 0.19/0.50 % (17405)------------------------------
% 0.19/0.50 % (17405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (17405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (17405)Termination reason: Unknown
% 0.19/0.50 % (17405)Termination phase: Blocked clause elimination
% 0.19/0.50
% 0.19/0.50 % (17405)Memory used [KB]: 895
% 0.19/0.50 % (17405)Time elapsed: 0.003 s
% 0.19/0.50 % (17405)Instructions burned: 3 (million)
% 0.19/0.50 % (17405)------------------------------
% 0.19/0.50 % (17405)------------------------------
% 0.19/0.51 % (17411)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)
% 0.19/0.51 % (17420)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (17418)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (17418)------------------------------
% 0.19/0.51 % (17418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (17418)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (17418)Memory used [KB]: 5628
% 0.19/0.51 % (17418)Time elapsed: 0.107 s
% 0.19/0.51 % (17418)Instructions burned: 6 (million)
% 0.19/0.51 % (17418)------------------------------
% 0.19/0.51 % (17418)------------------------------
% 0.19/0.51 % (17393)Success in time 0.163 s
%------------------------------------------------------------------------------