TSTP Solution File: KRS013-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS013-1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 : Sun May 5 07:19:18 EDT 2024
% Result : Unsatisfiable 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 38 ( 11 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 29 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,plain,
$false,
inference(subsumption_resolution,[],[f102,f82]) ).
fof(f82,plain,
t2least(u6r1(exist)),
inference(resolution,[],[f81,f3]) ).
fof(f3,axiom,
! [X0] :
( ~ c(X0)
| t2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f81,plain,
c(u6r1(exist)),
inference(subsumption_resolution,[],[f80,f2]) ).
fof(f2,axiom,
~ f(exist),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f80,plain,
( c(u6r1(exist))
| f(exist) ),
inference(resolution,[],[f79,f1]) ).
fof(f1,axiom,
e(exist),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f79,plain,
! [X0] :
( ~ e(X0)
| c(u6r1(X0))
| f(X0) ),
inference(duplicate_literal_removal,[],[f76]) ).
fof(f76,plain,
! [X0] :
( f(X0)
| c(u6r1(X0))
| ~ e(X0)
| f(X0) ),
inference(resolution,[],[f75,f40]) ).
fof(f40,plain,
! [X0] :
( ~ s2least(u6r1(X0))
| c(u6r1(X0))
| ~ e(X0)
| f(X0) ),
inference(resolution,[],[f16,f29]) ).
fof(f29,axiom,
! [X0] :
( r(X0,u6r1(X0))
| f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).
fof(f16,axiom,
! [X2,X0] :
( ~ r(X0,X2)
| ~ e(X0)
| c(X2)
| ~ s2least(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f75,plain,
! [X0] :
( s2least(u6r1(X0))
| f(X0) ),
inference(resolution,[],[f74,f28]) ).
fof(f28,axiom,
! [X0] :
( ~ s1most(u6r1(X0))
| f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).
fof(f74,plain,
! [X0] :
( s1most(X0)
| s2least(X0) ),
inference(subsumption_resolution,[],[f72,f31]) ).
fof(f31,axiom,
! [X0] :
( ~ equalish(u7r2(X0),u7r1(X0))
| s1most(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
fof(f72,plain,
! [X0] :
( s2least(X0)
| equalish(u7r2(X0),u7r1(X0))
| s1most(X0) ),
inference(duplicate_literal_removal,[],[f71]) ).
fof(f71,plain,
! [X0] :
( s2least(X0)
| equalish(u7r2(X0),u7r1(X0))
| s1most(X0)
| s1most(X0) ),
inference(resolution,[],[f51,f33]) ).
fof(f33,axiom,
! [X0] :
( s(X0,u7r2(X0))
| s1most(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
fof(f51,plain,
! [X0,X1] :
( ~ s(X0,X1)
| s2least(X0)
| equalish(X1,u7r1(X0))
| s1most(X0) ),
inference(resolution,[],[f26,f32]) ).
fof(f32,axiom,
! [X0] :
( s(X0,u7r1(X0))
| s1most(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ s(X0,X2)
| s2least(X0)
| ~ s(X0,X1)
| equalish(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
fof(f102,plain,
~ t2least(u6r1(exist)),
inference(resolution,[],[f98,f5]) ).
fof(f5,axiom,
! [X0] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ t2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f98,plain,
equalish(u1r2(u6r1(exist)),u1r1(u6r1(exist))),
inference(resolution,[],[f93,f83]) ).
fof(f83,plain,
t(u6r1(exist),u1r2(u6r1(exist))),
inference(resolution,[],[f82,f7]) ).
fof(f7,axiom,
! [X0] :
( ~ t2least(X0)
| t(X0,u1r2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f93,plain,
! [X0] :
( ~ t(u6r1(exist),X0)
| equalish(X0,u1r1(u6r1(exist))) ),
inference(subsumption_resolution,[],[f91,f38]) ).
fof(f38,plain,
t1most(u6r1(exist)),
inference(resolution,[],[f37,f9]) ).
fof(f9,axiom,
! [X0] :
( ~ d(X0)
| t1most(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f37,plain,
d(u6r1(exist)),
inference(subsumption_resolution,[],[f36,f2]) ).
fof(f36,plain,
( d(u6r1(exist))
| f(exist) ),
inference(resolution,[],[f34,f1]) ).
fof(f34,plain,
! [X0] :
( ~ e(X0)
| d(u6r1(X0))
| f(X0) ),
inference(resolution,[],[f15,f29]) ).
fof(f15,axiom,
! [X0,X1] :
( ~ r(X0,X1)
| d(X1)
| ~ e(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f91,plain,
! [X0] :
( ~ t1most(u6r1(exist))
| ~ t(u6r1(exist),X0)
| equalish(X0,u1r1(u6r1(exist))) ),
inference(resolution,[],[f84,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ t(X0,X2)
| ~ t1most(X0)
| ~ t(X0,X1)
| equalish(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
fof(f84,plain,
t(u6r1(exist),u1r1(u6r1(exist))),
inference(resolution,[],[f82,f6]) ).
fof(f6,axiom,
! [X0] :
( ~ t2least(X0)
| t(X0,u1r1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS013-1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:53:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (11657)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (11662)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (11663)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (11659)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (11658)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (11664)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)
% 0.22/0.38 % (11660)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)
% 0.22/0.38 % (11661)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [1,1,1]
% 0.22/0.38 TRYING [1,1,1]
% 0.22/0.38 % (11662)First to succeed.
% 0.22/0.38 TRYING [2,2,1]
% 0.22/0.38 TRYING [2,2,1]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 % (11663)Also succeeded, but the first one will report.
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [2,1,2]
% 0.22/0.38 % (11662)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11657"
% 0.22/0.38 % (11660)Also succeeded, but the first one will report.
% 0.22/0.38 TRYING [2,1,2]
% 0.22/0.38 TRYING [2,2,2]
% 0.22/0.38 TRYING [2,2,2]
% 0.22/0.38 % (11662)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (11662)------------------------------
% 0.22/0.38 % (11662)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (11662)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (11662)Memory used [KB]: 761
% 0.22/0.38 % (11662)Time elapsed: 0.004 s
% 0.22/0.38 % (11662)Instructions burned: 4 (million)
% 0.22/0.38 % (11657)Success in time 0.02 s
%------------------------------------------------------------------------------