TSTP Solution File: KRS002-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS002-1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n006.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 17:29:25 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 44 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 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 : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,plain,
$false,
inference(subsumption_resolution,[],[f61,f40]) ).
fof(f40,plain,
s(u4r2(exist),u1r2(u4r2(exist))),
inference(resolution,[],[f38,f1]) ).
fof(f1,axiom,
e(exist),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f38,plain,
! [X0] :
( ~ e(X0)
| s(u4r2(X0),u1r2(u4r2(X0))) ),
inference(resolution,[],[f34,f6]) ).
fof(f6,axiom,
! [X0] :
( ~ s2least(X0)
| s(X0,u1r2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f34,plain,
! [X0] :
( s2least(u4r2(X0))
| ~ e(X0) ),
inference(duplicate_literal_removal,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ~ e(X0)
| s2least(u4r2(X0))
| ~ e(X0) ),
inference(resolution,[],[f22,f14]) ).
fof(f14,axiom,
! [X0] :
( r(X0,u4r2(X0))
| ~ e(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f22,plain,
! [X0,X1] :
( ~ r(X0,X1)
| ~ e(X0)
| s2least(X1) ),
inference(resolution,[],[f16,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ c(X0)
| s2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f16,axiom,
! [X2,X0] :
( c(X2)
| ~ e(X0)
| ~ r(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f61,plain,
~ s(u4r2(exist),u1r2(u4r2(exist))),
inference(subsumption_resolution,[],[f60,f1]) ).
fof(f60,plain,
( ~ e(exist)
| ~ s(u4r2(exist),u1r2(u4r2(exist))) ),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f59,plain,
( ~ e(exist)
| ~ e(exist)
| ~ s(u4r2(exist),u1r2(u4r2(exist))) ),
inference(resolution,[],[f50,f41]) ).
fof(f41,plain,
s(u4r2(exist),u1r1(u4r2(exist))),
inference(resolution,[],[f39,f1]) ).
fof(f39,plain,
! [X1] :
( ~ e(X1)
| s(u4r2(X1),u1r1(u4r2(X1))) ),
inference(resolution,[],[f34,f5]) ).
fof(f5,axiom,
! [X0] :
( ~ s2least(X0)
| s(X0,u1r1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f50,plain,
! [X0,X1] :
( ~ s(u4r2(X0),u1r1(u4r2(X1)))
| ~ e(X0)
| ~ e(X1)
| ~ s(u4r2(X0),u1r2(u4r2(X1))) ),
inference(resolution,[],[f47,f34]) ).
fof(f47,plain,
! [X8,X7] :
( ~ s2least(X8)
| ~ s(u4r2(X7),u1r1(X8))
| ~ e(X7)
| ~ s(u4r2(X7),u1r2(X8)) ),
inference(resolution,[],[f28,f25]) ).
fof(f25,plain,
! [X0] :
( s1most(u4r2(X0))
| ~ e(X0) ),
inference(duplicate_literal_removal,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ~ e(X0)
| ~ e(X0)
| s1most(u4r2(X0)) ),
inference(resolution,[],[f21,f14]) ).
fof(f21,plain,
! [X0,X1] :
( ~ r(X0,X1)
| s1most(X1)
| ~ e(X0) ),
inference(resolution,[],[f15,f8]) ).
fof(f8,axiom,
! [X0] :
( ~ d(X0)
| s1most(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f15,axiom,
! [X2,X0] :
( d(X2)
| ~ e(X0)
| ~ r(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f28,plain,
! [X0,X1] :
( ~ s1most(X0)
| ~ s(X0,u1r2(X1))
| ~ s2least(X1)
| ~ s(X0,u1r1(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,X1)
| ~ s1most(X0)
| ~ s(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS002-1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:28:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.44 % (6194)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.44 % (6194)Refutation not found, incomplete strategy% (6194)------------------------------
% 0.20/0.44 % (6194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.44 % (6194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.44 % (6194)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44
% 0.20/0.44 % (6194)Memory used [KB]: 5756
% 0.20/0.44 % (6194)Time elapsed: 0.062 s
% 0.20/0.44 % (6194)Instructions burned: 1 (million)
% 0.20/0.44 % (6194)------------------------------
% 0.20/0.44 % (6194)------------------------------
% 0.20/0.44 % (6186)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.45 % (6186)Refutation not found, incomplete strategy% (6186)------------------------------
% 0.20/0.45 % (6186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45 % (6186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45 % (6186)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.45
% 0.20/0.45 % (6186)Memory used [KB]: 1407
% 0.20/0.45 % (6186)Time elapsed: 0.071 s
% 0.20/0.45 % (6186)Instructions burned: 2 (million)
% 0.20/0.45 % (6186)------------------------------
% 0.20/0.45 % (6186)------------------------------
% 0.20/0.45 % (6210)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.46 % (6210)Refutation not found, incomplete strategy% (6210)------------------------------
% 0.20/0.46 % (6210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46 % (6210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46 % (6210)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.46
% 0.20/0.46 % (6210)Memory used [KB]: 5756
% 0.20/0.46 % (6210)Time elapsed: 0.005 s
% 0.20/0.46 % (6210)Instructions burned: 1 (million)
% 0.20/0.46 % (6210)------------------------------
% 0.20/0.46 % (6210)------------------------------
% 0.20/0.53 % (6191)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (6191)First to succeed.
% 0.20/0.53 % (6191)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (6191)------------------------------
% 0.20/0.53 % (6191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (6191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (6191)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (6191)Memory used [KB]: 1407
% 0.20/0.53 % (6191)Time elapsed: 0.124 s
% 0.20/0.53 % (6191)Instructions burned: 3 (million)
% 0.20/0.53 % (6191)------------------------------
% 0.20/0.53 % (6191)------------------------------
% 0.20/0.53 % (6184)Success in time 0.186 s
%------------------------------------------------------------------------------