TSTP Solution File: LCL397-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL397-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : n029.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 17:48:10 EDT 2022
% Result : Unsatisfiable 1.49s 0.55s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 12 unt; 0 def)
% Number of atoms : 78 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 82 ( 44 ~; 34 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f422,plain,
$false,
inference(avatar_sat_refutation,[],[f77,f97,f99,f260,f420]) ).
fof(f420,plain,
( ~ spl2_10
| ~ spl2_22 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f418,plain,
( $false
| ~ spl2_10
| ~ spl2_22 ),
inference(resolution,[],[f405,f259]) ).
fof(f259,plain,
( ! [X33] : is_a_theorem(implies(not(sF0),X33))
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f258,plain,
( spl2_22
<=> ! [X33] : is_a_theorem(implies(not(sF0),X33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
fof(f405,plain,
( ~ is_a_theorem(implies(not(sF0),not(x)))
| ~ spl2_10 ),
inference(resolution,[],[f141,f100]) ).
fof(f100,plain,
( ! [X0] : ~ is_a_theorem(implies(implies(not(x),X0),sF0))
| ~ spl2_10 ),
inference(resolution,[],[f96,f4]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f96,plain,
( ! [X0] :
( ~ is_a_theorem(implies(x,X0))
| ~ is_a_theorem(implies(X0,sF0)) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl2_10
<=> ! [X0] :
( ~ is_a_theorem(implies(x,X0))
| ~ is_a_theorem(implies(X0,sF0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f141,plain,
! [X3,X4] :
( is_a_theorem(implies(implies(X3,X4),X4))
| ~ is_a_theorem(implies(not(X4),X3)) ),
inference(resolution,[],[f109,f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f109,plain,
! [X3,X4] :
( ~ is_a_theorem(implies(X3,implies(not(X4),X4)))
| is_a_theorem(implies(X3,X4)) ),
inference(resolution,[],[f103,f3]) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f22,f1]) ).
fof(f260,plain,
( spl2_7
| spl2_22 ),
inference(avatar_split_clause,[],[f226,f258,f70]) ).
fof(f70,plain,
( spl2_7
<=> ! [X0] :
( ~ is_a_theorem(implies(y,X0))
| ~ is_a_theorem(implies(X0,y)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f226,plain,
! [X34,X33] :
( is_a_theorem(implies(not(sF0),X33))
| ~ is_a_theorem(implies(X34,y))
| ~ is_a_theorem(implies(y,X34)) ),
inference(resolution,[],[f136,f57]) ).
fof(f57,plain,
! [X0] :
( is_a_theorem(implies(implies(X0,y),sF0))
| ~ is_a_theorem(implies(y,X0)) ),
inference(resolution,[],[f27,f1]) ).
fof(f27,plain,
! [X0] : is_a_theorem(implies(implies(y,X0),implies(implies(X0,y),sF0))),
inference(superposition,[],[f2,f6]) ).
fof(f6,plain,
implies(y,y) = sF0,
introduced(function_definition,[]) ).
fof(f136,plain,
! [X6,X4,X5] :
( ~ is_a_theorem(implies(X4,X5))
| is_a_theorem(implies(not(X5),X6))
| ~ is_a_theorem(X4) ),
inference(resolution,[],[f108,f1]) ).
fof(f108,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f103,f4]) ).
fof(f99,plain,
~ spl2_9,
inference(avatar_contradiction_clause,[],[f98]) ).
fof(f98,plain,
( $false
| ~ spl2_9 ),
inference(resolution,[],[f93,f8]) ).
fof(f8,plain,
~ is_a_theorem(sF1),
inference(definition_folding,[],[f5,f7,f6]) ).
fof(f7,plain,
sF1 = implies(x,sF0),
introduced(function_definition,[]) ).
fof(f5,axiom,
~ is_a_theorem(implies(x,implies(y,y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_63) ).
fof(f93,plain,
( is_a_theorem(sF1)
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl2_9
<=> is_a_theorem(sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f97,plain,
( spl2_9
| spl2_10 ),
inference(avatar_split_clause,[],[f88,f95,f91]) ).
fof(f88,plain,
! [X0] :
( ~ is_a_theorem(implies(x,X0))
| ~ is_a_theorem(implies(X0,sF0))
| is_a_theorem(sF1) ),
inference(resolution,[],[f60,f1]) ).
fof(f60,plain,
! [X0] :
( is_a_theorem(implies(implies(X0,sF0),sF1))
| ~ is_a_theorem(implies(x,X0)) ),
inference(resolution,[],[f28,f1]) ).
fof(f28,plain,
! [X1] : is_a_theorem(implies(implies(x,X1),implies(implies(X1,sF0),sF1))),
inference(superposition,[],[f2,f7]) ).
fof(f77,plain,
~ spl2_7,
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| ~ spl2_7 ),
inference(resolution,[],[f73,f3]) ).
fof(f73,plain,
( ! [X0] : ~ is_a_theorem(implies(implies(not(y),X0),y))
| ~ spl2_7 ),
inference(resolution,[],[f71,f4]) ).
fof(f71,plain,
( ! [X0] :
( ~ is_a_theorem(implies(y,X0))
| ~ is_a_theorem(implies(X0,y)) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL397-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 02:07:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (21398)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.49 % (21390)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 (3000ds/51Mi)
% 0.19/0.49 TRYING [1]
% 0.19/0.49 TRYING [2]
% 0.19/0.49 TRYING [3]
% 0.19/0.49 % (21406)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.50 % (21393)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.50 % (21394)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.50 % (21405)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.50 TRYING [4]
% 0.19/0.51 % (21397)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 (3000ds/99Mi)
% 0.19/0.51 % (21381)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 (3000ds/191324Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.52 % (21387)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 % (21382)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.52 % (21383)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.52 % (21382)Refutation not found, incomplete strategy% (21382)------------------------------
% 0.19/0.52 % (21382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (21382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (21382)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (21382)Memory used [KB]: 5373
% 0.19/0.52 % (21382)Time elapsed: 0.127 s
% 0.19/0.52 % (21382)Instructions burned: 1 (million)
% 0.19/0.52 % (21382)------------------------------
% 0.19/0.52 % (21382)------------------------------
% 0.19/0.52 % (21385)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 % (21386)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 (3000ds/48Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (21388)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.52 % (21392)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.52 % (21399)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (21388)Instruction limit reached!
% 0.19/0.52 % (21388)------------------------------
% 0.19/0.52 % (21388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (21392)First to succeed.
% 0.19/0.53 % (21391)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.53 % (21407)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 (3000ds/68Mi)
% 0.19/0.53 % (21403)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 (3000ds/498Mi)
% 0.19/0.53 % (21384)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.53 % (21408)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.19/0.53 % (21409)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.53 % (21401)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 (3000ds/176Mi)
% 0.19/0.53 TRYING [4]
% 0.19/0.53 % (21410)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.19/0.53 % (21404)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 (3000ds/467Mi)
% 0.19/0.53 % (21400)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.54 % (21388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (21388)Termination reason: Unknown
% 0.19/0.54 % (21388)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (21388)Memory used [KB]: 5500
% 0.19/0.54 % (21388)Time elapsed: 0.131 s
% 0.19/0.54 % (21388)Instructions burned: 8 (million)
% 0.19/0.54 % (21388)------------------------------
% 0.19/0.54 % (21388)------------------------------
% 0.19/0.54 % (21389)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.54 % (21395)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 (3000ds/68Mi)
% 1.49/0.54 TRYING [4]
% 1.49/0.54 % (21402)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.49/0.55 % (21392)Refutation found. Thanks to Tanya!
% 1.49/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.49/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.55 % (21392)------------------------------
% 1.49/0.55 % (21392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (21392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55 % (21392)Termination reason: Refutation
% 1.49/0.55
% 1.49/0.55 % (21392)Memory used [KB]: 5628
% 1.49/0.55 % (21392)Time elapsed: 0.134 s
% 1.49/0.55 % (21392)Instructions burned: 11 (million)
% 1.49/0.55 % (21392)------------------------------
% 1.49/0.55 % (21392)------------------------------
% 1.49/0.55 % (21380)Success in time 0.203 s
%------------------------------------------------------------------------------