TSTP Solution File: SYN012-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN012-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Tue Apr 30 18:01:48 EDT 2024
% Result : Unsatisfiable 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 38 ( 15 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,plain,
$false,
inference(resolution,[],[f42,f39]) ).
fof(f39,plain,
! [X0,X1] : big_g(X1,g(X0,X1)),
inference(subsumption_resolution,[],[f36,f35]) ).
fof(f35,plain,
! [X0,X1] : big_f(X0,X1),
inference(subsumption_resolution,[],[f32,f19]) ).
fof(f19,plain,
! [X0,X1] :
( big_g(g(X0,X1),g(g(X0,X1),g(X0,X1)))
| big_f(X0,X1) ),
inference(subsumption_resolution,[],[f17,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( big_f(g(X0,X1),g(X0,X1))
| big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f17,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_f(g(X0,X1),g(X0,X1))
| big_g(g(X0,X1),g(g(X0,X1),g(X0,X1))) ),
inference(resolution,[],[f16,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ big_f(X0,g(X0,X1))
| ~ big_f(X0,X1)
| big_g(X1,g(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f16,plain,
! [X0,X1] :
( big_f(g(X0,X1),g(g(X0,X1),g(X0,X1)))
| big_f(X0,X1) ),
inference(duplicate_literal_removal,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( big_f(g(X0,X1),g(g(X0,X1),g(X0,X1)))
| big_f(g(X0,X1),g(g(X0,X1),g(X0,X1)))
| big_f(X0,X1) ),
inference(resolution,[],[f14,f4]) ).
fof(f14,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_f(X0,g(X0,X1))
| big_f(X1,g(X0,X1)) ),
inference(resolution,[],[f2,f8]) ).
fof(f8,plain,
! [X0,X1] :
( big_g(X0,X1)
| big_f(X0,X1) ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ big_g(g(X0,X1),g(X0,X1))
| big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
! [X0,X1] :
( big_g(g(X0,X1),g(X0,X1))
| big_g(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f2,axiom,
! [X0,X1] :
( ~ big_g(X1,g(X0,X1))
| ~ big_f(X0,X1)
| big_f(X0,g(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f32,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_g(g(X0,X1),g(g(X0,X1),g(X0,X1))) ),
inference(resolution,[],[f24,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ big_g(g(X0,X1),g(X0,X1))
| ~ big_g(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f24,plain,
! [X0,X1] :
( big_g(g(g(X0,X1),g(g(X0,X1),g(X0,X1))),g(g(X0,X1),g(g(X0,X1),g(X0,X1))))
| big_f(X0,X1) ),
inference(resolution,[],[f22,f16]) ).
fof(f22,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_g(g(X0,X1),g(X0,X1)) ),
inference(subsumption_resolution,[],[f3,f8]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ big_f(X0,X1)
| ~ big_f(g(X0,X1),g(X0,X1))
| big_g(g(X0,X1),g(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f36,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_g(X1,g(X0,X1)) ),
inference(resolution,[],[f35,f1]) ).
fof(f42,plain,
! [X0,X1] : ~ big_g(X0,X1),
inference(resolution,[],[f37,f7]) ).
fof(f37,plain,
! [X0,X1] : big_g(g(X0,X1),g(X0,X1)),
inference(resolution,[],[f35,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN012-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 02:20:32 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (22996)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (23003)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (22997)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (22998)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 TRYING [4]
% 0.14/0.37 % (23000)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (23001)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (22999)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37 % (23002)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (23001)First to succeed.
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (23002)Also succeeded, but the first one will report.
% 0.21/0.37 % (23001)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (23001)------------------------------
% 0.21/0.37 % (23001)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (23001)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (23001)Memory used [KB]: 748
% 0.21/0.37 % (23001)Time elapsed: 0.003 s
% 0.21/0.37 % (23001)Instructions burned: 4 (million)
% 0.21/0.37 % (23001)------------------------------
% 0.21/0.37 % (23001)------------------------------
% 0.21/0.37 % (22996)Success in time 0.019 s
%------------------------------------------------------------------------------