TSTP Solution File: KRS003-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS003-1 : 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 : n005.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 1.43s 0.58s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34,plain,
$false,
inference(subsumption_resolution,[],[f33,f19]) ).
fof(f19,plain,
s2least(exist),
inference(resolution,[],[f3,f17]) ).
fof(f17,plain,
c(exist),
inference(resolution,[],[f15,f1]) ).
fof(f1,axiom,
e(exist),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f15,axiom,
! [X0] :
( ~ e(X0)
| c(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f3,axiom,
! [X0] :
( ~ c(X0)
| s2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f33,plain,
~ s2least(exist),
inference(subsumption_resolution,[],[f32,f23]) ).
fof(f23,plain,
s(exist,u1r1(exist)),
inference(resolution,[],[f6,f19]) ).
fof(f6,axiom,
! [X0] :
( ~ s2least(X0)
| s(X0,u1r1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f32,plain,
( ~ s(exist,u1r1(exist))
| ~ s2least(exist) ),
inference(resolution,[],[f31,f5]) ).
fof(f5,axiom,
! [X0] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ s2least(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f31,plain,
! [X1] :
( equalish(u1r2(exist),X1)
| ~ s(exist,X1) ),
inference(resolution,[],[f27,f24]) ).
fof(f24,plain,
s(exist,u1r2(exist)),
inference(resolution,[],[f7,f19]) ).
fof(f7,axiom,
! [X0] :
( ~ s2least(X0)
| s(X0,u1r2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f27,plain,
! [X0,X1] :
( ~ s(exist,X1)
| ~ s(exist,X0)
| equalish(X1,X0) ),
inference(resolution,[],[f11,f21]) ).
fof(f21,plain,
s1most(exist),
inference(resolution,[],[f9,f18]) ).
fof(f18,plain,
d(exist),
inference(resolution,[],[f16,f2]) ).
fof(f2,axiom,
f(exist),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f16,axiom,
! [X0] :
( ~ f(X0)
| d(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f9,axiom,
! [X0] :
( ~ d(X0)
| s1most(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ s1most(X0)
| ~ s(X0,X2)
| ~ s(X0,X1)
| equalish(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS003-1 : TPTP v8.1.0. Released v2.0.0.
% 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
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:30:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (21690)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)
% 0.20/0.56 % (21684)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.56 % (21690)First to succeed.
% 1.43/0.57 % (21699)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.43/0.58 % (21690)Refutation found. Thanks to Tanya!
% 1.43/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.43/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.58 % (21690)------------------------------
% 1.43/0.58 % (21690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.58 % (21690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.58 % (21690)Termination reason: Refutation
% 1.43/0.58
% 1.43/0.58 % (21690)Memory used [KB]: 5884
% 1.43/0.58 % (21690)Time elapsed: 0.147 s
% 1.43/0.58 % (21690)Instructions burned: 2 (million)
% 1.43/0.58 % (21690)------------------------------
% 1.43/0.58 % (21690)------------------------------
% 1.43/0.58 % (21678)Success in time 0.222 s
%------------------------------------------------------------------------------