TSTP Solution File: LCL112-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL112-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n006.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 17:46:55 EDT 2022
% Result : Unsatisfiable 1.41s 0.54s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 23 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f221,plain,
$false,
inference(avatar_sat_refutation,[],[f102,f204,f220]) ).
fof(f220,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f219,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f205,f6]) ).
fof(f6,axiom,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_29) ).
fof(f205,plain,
( ! [X0] : is_a_theorem(implies(X0,not(not(X0))))
| ~ spl0_6 ),
inference(resolution,[],[f203,f10]) ).
fof(f10,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f5,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(f5,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_5) ).
fof(f203,plain,
( ! [X3] : is_a_theorem(implies(not(not(X3)),X3))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl0_6
<=> ! [X3] : is_a_theorem(implies(not(not(X3)),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f204,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f194,f50,f202]) ).
fof(f50,plain,
( spl0_3
<=> ! [X4] : ~ is_a_theorem(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f194,plain,
! [X3,X4] :
( ~ is_a_theorem(X4)
| is_a_theorem(implies(not(not(X3)),X3)) ),
inference(resolution,[],[f124,f43]) ).
fof(f43,plain,
! [X24,X25,X23] :
( ~ is_a_theorem(implies(X23,implies(X24,X25)))
| is_a_theorem(implies(X23,X25))
| ~ is_a_theorem(X24) ),
inference(resolution,[],[f24,f26]) ).
fof(f26,plain,
! [X2,X3] :
( is_a_theorem(implies(implies(X2,X3),X3))
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f13,f7]) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_1) ).
fof(f13,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X1))
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_3) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f12,f1]) ).
fof(f12,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3,f1]) ).
fof(f3,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',mv_2) ).
fof(f124,plain,
! [X2,X3] : is_a_theorem(implies(not(not(X2)),implies(X3,X2))),
inference(resolution,[],[f103,f39]) ).
fof(f39,plain,
! [X10,X11,X9] :
( ~ is_a_theorem(implies(X9,implies(not(X10),not(X11))))
| is_a_theorem(implies(X9,implies(X11,X10))) ),
inference(resolution,[],[f24,f5]) ).
fof(f103,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f39,f2]) ).
fof(f102,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f88,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f51,f2]) ).
fof(f51,plain,
( ! [X4] : ~ is_a_theorem(X4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL112-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % 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 : n006.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 01:34:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (12824)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)
% 0.20/0.50 % (12833)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)
% 0.20/0.50 % (12822)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)
% 0.20/0.50 % (12823)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)
% 0.20/0.51 % (12835)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.51 % (12821)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (12840)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.51 % (12822)Refutation not found, incomplete strategy% (12822)------------------------------
% 0.20/0.51 % (12822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (12822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (12822)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (12822)Memory used [KB]: 5373
% 0.20/0.51 % (12822)Time elapsed: 0.109 s
% 0.20/0.51 % (12822)Instructions burned: 1 (million)
% 0.20/0.51 % (12822)------------------------------
% 0.20/0.51 % (12822)------------------------------
% 0.20/0.52 % (12842)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)
% 0.20/0.52 % (12825)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52 % (12834)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.52 % (12848)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)
% 0.20/0.52 % (12836)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)
% 0.20/0.52 % (12831)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)
% 0.20/0.52 % (12839)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.52 % (12845)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)
% 0.20/0.52 % (12847)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.52 % (12837)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.53 % (12829)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.53 % (12832)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.53 % (12826)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)
% 0.20/0.53 % (12849)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)
% 0.20/0.53 TRYING [4]
% 0.20/0.53 % (12827)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)
% 0.20/0.53 % (12838)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)
% 0.20/0.53 % (12850)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.41/0.54 TRYING [1]
% 1.41/0.54 TRYING [2]
% 1.41/0.54 % (12829)Instruction limit reached!
% 1.41/0.54 % (12829)------------------------------
% 1.41/0.54 % (12829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (12829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (12829)Termination reason: Unknown
% 1.41/0.54 % (12829)Termination phase: Saturation
% 1.41/0.54
% 1.41/0.54 % (12829)Memory used [KB]: 5500
% 1.41/0.54 % (12829)Time elapsed: 0.094 s
% 1.41/0.54 % (12829)Instructions burned: 7 (million)
% 1.41/0.54 % (12829)------------------------------
% 1.41/0.54 % (12829)------------------------------
% 1.41/0.54 % (12841)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)
% 1.41/0.54 % (12832)First to succeed.
% 1.41/0.54 TRYING [3]
% 1.41/0.54 % (12832)Refutation found. Thanks to Tanya!
% 1.41/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.41/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.54 % (12832)------------------------------
% 1.41/0.54 % (12832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (12832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (12832)Termination reason: Refutation
% 1.41/0.54
% 1.41/0.54 % (12832)Memory used [KB]: 5500
% 1.41/0.54 % (12832)Time elapsed: 0.132 s
% 1.41/0.54 % (12832)Instructions burned: 9 (million)
% 1.41/0.54 % (12832)------------------------------
% 1.41/0.54 % (12832)------------------------------
% 1.41/0.54 % (12818)Success in time 0.181 s
%------------------------------------------------------------------------------