TSTP Solution File: LCL130-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL130-1 : 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_uns --cores 0 -t %d %s
% Computer : n013.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 17:39:01 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 16 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(subsumption_resolution,[],[f76,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_4) ).
fof(f76,plain,
! [X48,X46,X49,X47] : ~ is_a_theorem(equivalent(equivalent(equivalent(a,X46),equivalent(equivalent(X47,X48),equivalent(equivalent(X47,X49),equivalent(X48,X49)))),equivalent(a,X46))),
inference(resolution,[],[f46,f57]) ).
fof(f57,plain,
! [X3] : ~ is_a_theorem(equivalent(equivalent(a,X3),equivalent(a,X3))),
inference(resolution,[],[f52,f9]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X4),equivalent(X0,X4))),
inference(resolution,[],[f8,f2]) ).
fof(f8,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,X2))
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(resolution,[],[f6,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f6,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(resolution,[],[f5,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))
| is_a_theorem(X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2))),equivalent(equivalent(X3,X4),equivalent(equivalent(X3,X5),equivalent(X4,X5))))),
inference(resolution,[],[f4,f2]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),X1),equivalent(a,X1)))
| ~ is_a_theorem(equivalent(equivalent(X0,X2),equivalent(a,X2))) ),
inference(resolution,[],[f36,f30]) ).
fof(f30,plain,
! [X18,X19,X16,X17] :
( is_a_theorem(equivalent(equivalent(X16,X17),equivalent(X18,X17)))
| ~ is_a_theorem(equivalent(equivalent(X16,X19),equivalent(X18,X19))) ),
inference(resolution,[],[f19,f1]) ).
fof(f19,plain,
! [X14,X15,X12,X13] : is_a_theorem(equivalent(equivalent(equivalent(X12,X13),equivalent(X14,X13)),equivalent(equivalent(X12,X15),equivalent(X14,X15)))),
inference(resolution,[],[f14,f6]) ).
fof(f14,plain,
! [X10,X11,X9,X12] :
( ~ is_a_theorem(equivalent(equivalent(X9,X11),X12))
| is_a_theorem(equivalent(equivalent(equivalent(X9,X10),equivalent(X11,X10)),X12)) ),
inference(resolution,[],[f11,f1]) ).
fof(f11,plain,
! [X14,X15,X12,X13] : is_a_theorem(equivalent(equivalent(equivalent(X12,X13),X14),equivalent(equivalent(equivalent(X12,X15),equivalent(X13,X15)),X14))),
inference(resolution,[],[f8,f6]) ).
fof(f36,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(a,X1))) ),
inference(resolution,[],[f35,f3]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).
fof(f35,plain,
! [X21,X24,X22,X23] :
( is_a_theorem(equivalent(X23,X24))
| ~ is_a_theorem(equivalent(equivalent(X21,X22),equivalent(X23,X22)))
| ~ is_a_theorem(equivalent(X21,X24)) ),
inference(resolution,[],[f30,f1]) ).
fof(f46,plain,
! [X28,X29,X26,X27,X25] :
( is_a_theorem(equivalent(X25,X26))
| ~ is_a_theorem(equivalent(equivalent(X25,equivalent(equivalent(X27,X28),equivalent(equivalent(X27,X29),equivalent(X28,X29)))),X26)) ),
inference(resolution,[],[f9,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL130-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 01:34:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (15021)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.50 % (15039)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.50 % (15029)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.51 % (15023)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51 % (15022)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.51 % (15029)First to succeed.
% 0.20/0.51 % (15023)Also succeeded, but the first one will report.
% 0.20/0.51 % (15031)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (15029)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (15029)------------------------------
% 0.20/0.51 % (15029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (15029)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (15029)Memory used [KB]: 5884
% 0.20/0.51 % (15029)Time elapsed: 0.102 s
% 0.20/0.51 % (15029)Instructions burned: 4 (million)
% 0.20/0.51 % (15029)------------------------------
% 0.20/0.51 % (15029)------------------------------
% 0.20/0.51 % (15014)Success in time 0.158 s
%------------------------------------------------------------------------------