TSTP Solution File: LCL045-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL045-1 : 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 17:46:40 EDT 2022
% Result : Unsatisfiable 1.38s 0.53s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 22 unt; 0 def)
% Number of atoms : 42 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f376,plain,
$false,
inference(subsumption_resolution,[],[f375,f242]) ).
fof(f242,plain,
~ is_a_theorem(implies(a,sF4)),
inference(subsumption_resolution,[],[f237,f13]) ).
fof(f13,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f7,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
implies(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f9,plain,
not(b) = sF1,
introduced(function_definition,[]) ).
fof(f10,plain,
not(a) = sF2,
introduced(function_definition,[]) ).
fof(f11,plain,
sF3 = implies(sF1,sF2),
introduced(function_definition,[]) ).
fof(f12,plain,
implies(sF0,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f7,axiom,
~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_46) ).
fof(f237,plain,
( is_a_theorem(sF4)
| ~ is_a_theorem(implies(a,sF4)) ),
inference(resolution,[],[f142,f211]) ).
fof(f211,plain,
is_a_theorem(implies(sF2,sF4)),
inference(resolution,[],[f201,f15]) ).
fof(f15,plain,
is_a_theorem(implies(sF2,sF3)),
inference(superposition,[],[f3,f11]) ).
fof(f3,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
fof(f201,plain,
! [X1] :
( ~ is_a_theorem(implies(X1,sF3))
| is_a_theorem(implies(X1,sF4)) ),
inference(resolution,[],[f138,f20]) ).
fof(f20,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f3]) ).
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(f138,plain,
! [X0] :
( ~ is_a_theorem(implies(sF0,implies(X0,sF3)))
| is_a_theorem(implies(X0,sF4)) ),
inference(resolution,[],[f100,f1]) ).
fof(f100,plain,
! [X2] : is_a_theorem(implies(implies(sF0,implies(X2,sF3)),implies(X2,sF4))),
inference(superposition,[],[f4,f12]) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_21) ).
fof(f142,plain,
! [X0] :
( ~ is_a_theorem(implies(sF2,X0))
| is_a_theorem(X0)
| ~ is_a_theorem(implies(a,X0)) ),
inference(resolution,[],[f116,f1]) ).
fof(f116,plain,
! [X0] :
( is_a_theorem(implies(implies(sF2,X0),X0))
| ~ is_a_theorem(implies(a,X0)) ),
inference(resolution,[],[f86,f1]) ).
fof(f86,plain,
! [X1] : is_a_theorem(implies(implies(a,X1),implies(implies(sF2,X1),X1))),
inference(superposition,[],[f6,f10]) ).
fof(f6,axiom,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_54) ).
fof(f375,plain,
is_a_theorem(implies(a,sF4)),
inference(subsumption_resolution,[],[f372,f19]) ).
fof(f19,plain,
is_a_theorem(implies(b,sF3)),
inference(superposition,[],[f17,f11]) ).
fof(f17,plain,
! [X0] : is_a_theorem(implies(b,implies(sF1,X0))),
inference(superposition,[],[f2,f9]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f372,plain,
( ~ is_a_theorem(implies(b,sF3))
| is_a_theorem(implies(a,sF4)) ),
inference(resolution,[],[f348,f138]) ).
fof(f348,plain,
! [X0] :
( is_a_theorem(implies(sF0,implies(a,X0)))
| ~ is_a_theorem(implies(b,X0)) ),
inference(resolution,[],[f326,f1]) ).
fof(f326,plain,
! [X0] : is_a_theorem(implies(implies(b,X0),implies(sF0,implies(a,X0)))),
inference(superposition,[],[f5,f8]) ).
fof(f5,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_22) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL045-1 : 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 : n005.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 01:31:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.48 % (21718)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.49 % (21716)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.49 % (21711)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)
% 0.19/0.49 % (21719)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.49 % (21726)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)
% 0.19/0.50 % (21727)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.50 % (21708)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)
% 0.19/0.50 % (21710)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (21720)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)
% 0.19/0.51 % (21736)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)
% 0.19/0.52 % (21732)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)
% 0.19/0.52 % (21724)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.52 % (21728)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)
% 0.19/0.52 % (21721)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)
% 0.19/0.52 % (21706)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)
% 0.19/0.52 % (21709)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)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.53 % (21713)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (21730)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.53 % (21712)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (21707)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)
% 0.19/0.53 % (21718)First to succeed.
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (21707)Refutation not found, incomplete strategy% (21707)------------------------------
% 0.19/0.53 % (21707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (21707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (21707)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (21707)Memory used [KB]: 5373
% 0.19/0.53 % (21707)Time elapsed: 0.128 s
% 0.19/0.53 % (21707)Instructions burned: 2 (million)
% 0.19/0.53 % (21707)------------------------------
% 0.19/0.53 % (21707)------------------------------
% 0.19/0.53 % (21729)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)
% 1.38/0.53 % (21718)Refutation found. Thanks to Tanya!
% 1.38/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.38/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.53 % (21718)------------------------------
% 1.38/0.53 % (21718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53 % (21718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53 % (21718)Termination reason: Refutation
% 1.38/0.53
% 1.38/0.53 % (21718)Memory used [KB]: 5628
% 1.38/0.53 % (21718)Time elapsed: 0.109 s
% 1.38/0.53 % (21718)Instructions burned: 14 (million)
% 1.38/0.53 % (21718)------------------------------
% 1.38/0.53 % (21718)------------------------------
% 1.38/0.53 % (21704)Success in time 0.178 s
%------------------------------------------------------------------------------