TSTP Solution File: KRS002-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS002-1 : 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 : n024.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 07:19:15 EDT 2024
% Result : Unsatisfiable 0.12s 0.35s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 3 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 43 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,plain,
$false,
inference(resolution,[],[f44,f1]) ).
fof(f1,axiom,
e(exist),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f44,plain,
! [X0] : ~ e(X0),
inference(duplicate_literal_removal,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ~ e(X0)
| ~ e(X0) ),
inference(resolution,[],[f41,f26]) ).
fof(f26,plain,
! [X0] :
( s2least(u4r2(X0))
| ~ e(X0) ),
inference(resolution,[],[f22,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ c(X0)
| s2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f22,plain,
! [X0] :
( c(u4r2(X0))
| ~ e(X0) ),
inference(duplicate_literal_removal,[],[f21]) ).
fof(f21,plain,
! [X0] :
( c(u4r2(X0))
| ~ e(X0)
| ~ e(X0) ),
inference(resolution,[],[f16,f14]) ).
fof(f14,axiom,
! [X0] :
( r(X0,u4r2(X0))
| ~ e(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f16,axiom,
! [X2,X0] :
( ~ r(X0,X2)
| c(X2)
| ~ e(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f41,plain,
! [X0] :
( ~ s2least(u4r2(X0))
| ~ e(X0) ),
inference(resolution,[],[f40,f23]) ).
fof(f23,plain,
! [X0] :
( s1most(u4r2(X0))
| ~ e(X0) ),
inference(resolution,[],[f20,f8]) ).
fof(f8,axiom,
! [X0] :
( ~ d(X0)
| s1most(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f20,plain,
! [X0] :
( d(u4r2(X0))
| ~ e(X0) ),
inference(duplicate_literal_removal,[],[f19]) ).
fof(f19,plain,
! [X0] :
( d(u4r2(X0))
| ~ e(X0)
| ~ e(X0) ),
inference(resolution,[],[f15,f14]) ).
fof(f15,axiom,
! [X2,X0] :
( ~ r(X0,X2)
| d(X2)
| ~ e(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f40,plain,
! [X0] :
( ~ s1most(X0)
| ~ s2least(X0) ),
inference(duplicate_literal_removal,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ~ s1most(X0)
| ~ s2least(X0)
| ~ s2least(X0) ),
inference(resolution,[],[f36,f6]) ).
fof(f6,axiom,
! [X0] :
( s(X0,u1r2(X0))
| ~ s2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f36,plain,
! [X0] :
( ~ s(X0,u1r2(X0))
| ~ s1most(X0)
| ~ s2least(X0) ),
inference(duplicate_literal_removal,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ~ s(X0,u1r2(X0))
| ~ s1most(X0)
| ~ s2least(X0)
| ~ s2least(X0) ),
inference(resolution,[],[f27,f5]) ).
fof(f5,axiom,
! [X0] :
( s(X0,u1r1(X0))
| ~ s2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f27,plain,
! [X0,X1] :
( ~ s(X0,u1r1(X1))
| ~ s(X0,u1r2(X1))
| ~ s1most(X0)
| ~ s2least(X1) ),
inference(resolution,[],[f10,f4]) ).
fof(f4,axiom,
! [X0] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ s2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f10,axiom,
! [X2,X0,X1] :
( equalish(X1,X2)
| ~ s(X0,X2)
| ~ s(X0,X1)
| ~ s1most(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS002-1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 19:51:07 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (31743)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (31746)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)
% 0.12/0.35 % (31750)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)
% 0.12/0.35 % (31747)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.35 % (31744)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.35 % (31749)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.35 % (31745)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (31748)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [1,1,1]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 TRYING [1,1,1]
% 0.12/0.35 % (31746)First to succeed.
% 0.12/0.35 % (31748)Also succeeded, but the first one will report.
% 0.12/0.35 TRYING [2,2,1]
% 0.12/0.35 TRYING [2,2,1]
% 0.12/0.35 % (31749)Also succeeded, but the first one will report.
% 0.12/0.35 TRYING [2,1,2]
% 0.12/0.35 TRYING [3]
% 0.12/0.35 TRYING [3]
% 0.12/0.35 % (31746)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31743"
% 0.12/0.35 TRYING [2,1,2]
% 0.12/0.35 TRYING [2,2,2]
% 0.12/0.35 TRYING [2,2,2]
% 0.12/0.35 TRYING [3,3,1]
% 0.12/0.35 % (31746)Refutation found. Thanks to Tanya!
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.35 % (31746)------------------------------
% 0.12/0.35 % (31746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.35 % (31746)Termination reason: Refutation
% 0.12/0.35
% 0.12/0.35 % (31746)Memory used [KB]: 744
% 0.12/0.35 % (31746)Time elapsed: 0.003 s
% 0.12/0.35 % (31746)Instructions burned: 3 (million)
% 0.12/0.35 % (31743)Success in time 0.017 s
%------------------------------------------------------------------------------