TSTP Solution File: LCL008-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL008-1 : 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 : n005.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 17:46:33 EDT 2022
% Result : Unsatisfiable 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 12 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,plain,
$false,
inference(avatar_sat_refutation,[],[f60,f71]) ).
fof(f71,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f68,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f58,f29]) ).
fof(f29,plain,
~ is_a_theorem(equivalent(a,a)),
inference(resolution,[],[f16,f3]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ec_4) ).
fof(f16,plain,
! [X10,X8,X9] :
( is_a_theorem(equivalent(equivalent(X8,X9),equivalent(X9,X10)))
| ~ is_a_theorem(equivalent(X8,X10)) ),
inference(resolution,[],[f8,f9]) ).
fof(f9,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[],[f7,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yql) ).
fof(f7,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))))
| is_a_theorem(equivalent(X0,equivalent(X3,X2))) ),
inference(resolution,[],[f6,f2]) ).
fof(f6,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X0,X2)) ),
inference(resolution,[],[f4,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f4,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,X1),equivalent(X0,X2)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f8,plain,
! [X6,X7,X4,X5] :
( ~ is_a_theorem(equivalent(X4,equivalent(X5,X6)))
| is_a_theorem(equivalent(X4,equivalent(X6,X7)))
| ~ is_a_theorem(equivalent(X5,X7)) ),
inference(resolution,[],[f6,f4]) ).
fof(f58,plain,
( ! [X1] : is_a_theorem(equivalent(X1,X1))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_2
<=> ! [X1] : is_a_theorem(equivalent(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f60,plain,
spl0_2,
inference(avatar_split_clause,[],[f48,f57]) ).
fof(f48,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[],[f24,f9]) ).
fof(f24,plain,
! [X14,X12,X13] :
( ~ is_a_theorem(equivalent(equivalent(X12,X13),equivalent(X14,X12)))
| is_a_theorem(equivalent(X14,X13)) ),
inference(resolution,[],[f11,f1]) ).
fof(f11,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),equivalent(X2,X1))),
inference(resolution,[],[f9,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LCL008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31 % CPULimit : 300
% 0.15/0.31 % WCLimit : 300
% 0.15/0.31 % DateTime : Tue Aug 30 01:28:33 EDT 2022
% 0.15/0.31 % CPUTime :
% 0.15/0.46 % (12674)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)
% 0.15/0.47 % (12668)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.47 % (12666)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)
% 0.15/0.47 % (12667)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.15/0.47 % (12678)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.15/0.48 % (12686)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)
% 0.15/0.48 % (12668)Instruction limit reached!
% 0.15/0.48 % (12668)------------------------------
% 0.15/0.48 % (12668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (12668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (12668)Termination reason: Unknown
% 0.15/0.48 % (12668)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (12668)Memory used [KB]: 5373
% 0.15/0.48 % (12668)Time elapsed: 0.104 s
% 0.15/0.48 % (12668)Instructions burned: 2 (million)
% 0.15/0.48 % (12668)------------------------------
% 0.15/0.48 % (12668)------------------------------
% 0.15/0.48 % (12670)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.15/0.48 % (12682)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)
% 0.15/0.48 % (12675)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)
% 0.15/0.48 % (12670)First to succeed.
% 0.15/0.48 % (12684)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.15/0.48 % (12670)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (12670)------------------------------
% 0.15/0.48 % (12670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (12670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (12670)Termination reason: Refutation
% 0.15/0.48
% 0.15/0.48 % (12670)Memory used [KB]: 5373
% 0.15/0.48 % (12670)Time elapsed: 0.106 s
% 0.15/0.48 % (12670)Instructions burned: 3 (million)
% 0.15/0.48 % (12670)------------------------------
% 0.15/0.48 % (12670)------------------------------
% 0.15/0.48 % (12659)Success in time 0.161 s
%------------------------------------------------------------------------------