TSTP Solution File: KRS096+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS096+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n010.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 17:30:47 EDT 2022
% Result : Unsatisfiable 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 145 ( 18 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 168 ( 55 ~; 48 |; 54 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 73 ( 49 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,plain,
$false,
inference(subsumption_resolution,[],[f102,f92]) ).
fof(f92,plain,
~ cc(sK0(i2003_11_14_17_20_18265)),
inference(resolution,[],[f90,f59]) ).
fof(f59,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ~ cc(X0)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( cc(X0)
=> ~ cd(X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] :
( cc(X3)
=> ~ cd(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f90,plain,
cd(sK0(i2003_11_14_17_20_18265)),
inference(resolution,[],[f77,f61]) ).
fof(f61,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
cUnsatisfiable(i2003_11_14_17_20_18265),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f77,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cd(sK0(X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( ( rr(X0,sK0(X0))
& cd(sK0(X0))
& ! [X2,X3] :
( ~ rr(X0,X3)
| ~ rr(X0,X2)
| X2 = X3 )
& cc(sK1(X0))
& rr(X0,sK1(X0)) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X5] :
( ~ rr(X0,X5)
| ~ cd(X5) )
| ( rr(X0,sK3(X0))
& rr(X0,sK2(X0))
& sK2(X0) != sK3(X0) )
| ! [X8] :
( ~ cc(X8)
| ~ rr(X0,X8) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f51,f54,f53,f52]) ).
fof(f52,plain,
! [X0] :
( ? [X1] :
( rr(X0,X1)
& cd(X1) )
=> ( rr(X0,sK0(X0))
& cd(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ? [X4] :
( cc(X4)
& rr(X0,X4) )
=> ( cc(sK1(X0))
& rr(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ? [X6,X7] :
( rr(X0,X7)
& rr(X0,X6)
& X6 != X7 )
=> ( rr(X0,sK3(X0))
& rr(X0,sK2(X0))
& sK2(X0) != sK3(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0] :
( ( ( ? [X1] :
( rr(X0,X1)
& cd(X1) )
& ! [X2,X3] :
( ~ rr(X0,X3)
| ~ rr(X0,X2)
| X2 = X3 )
& ? [X4] :
( cc(X4)
& rr(X0,X4) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X5] :
( ~ rr(X0,X5)
| ~ cd(X5) )
| ? [X6,X7] :
( rr(X0,X7)
& rr(X0,X6)
& X6 != X7 )
| ! [X8] :
( ~ cc(X8)
| ~ rr(X0,X8) ) ) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( ( ? [X1] :
( rr(X0,X1)
& cd(X1) )
& ! [X3,X2] :
( ~ rr(X0,X2)
| ~ rr(X0,X3)
| X2 = X3 )
& ? [X4] :
( cc(X4)
& rr(X0,X4) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cd(X1) )
| ? [X3,X2] :
( rr(X0,X2)
& rr(X0,X3)
& X2 != X3 )
| ! [X4] :
( ~ cc(X4)
| ~ rr(X0,X4) ) ) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( ( ? [X1] :
( rr(X0,X1)
& cd(X1) )
& ! [X3,X2] :
( ~ rr(X0,X2)
| ~ rr(X0,X3)
| X2 = X3 )
& ? [X4] :
( cc(X4)
& rr(X0,X4) ) )
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ~ cd(X1) )
| ? [X3,X2] :
( rr(X0,X2)
& rr(X0,X3)
& X2 != X3 )
| ! [X4] :
( ~ cc(X4)
| ~ rr(X0,X4) ) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ( ? [X1] :
( rr(X0,X1)
& cd(X1) )
& ! [X3,X2] :
( ~ rr(X0,X2)
| ~ rr(X0,X3)
| X2 = X3 )
& ? [X4] :
( cc(X4)
& rr(X0,X4) ) )
<=> cUnsatisfiable(X0) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ( ? [X4] :
( cc(X4)
& rr(X0,X4) )
& ? [X1] :
( rr(X0,X1)
& cd(X1) )
& ! [X3,X2] :
( X2 = X3
| ~ rr(X0,X2)
| ~ rr(X0,X3) ) )
<=> cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ( ? [X4] :
( cc(X4)
& rr(X0,X4) )
& ? [X1] :
( rr(X0,X1)
& cd(X1) )
& ! [X3,X2] :
( ( rr(X0,X2)
& rr(X0,X3) )
=> X2 = X3 ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3] :
( ( ? [X4] :
( rr(X3,X4)
& cd(X4) )
& ! [X5,X6] :
( ( rr(X3,X6)
& rr(X3,X5) )
=> X5 = X6 )
& ? [X4] :
( rr(X3,X4)
& cc(X4) ) )
<=> cUnsatisfiable(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f102,plain,
cc(sK0(i2003_11_14_17_20_18265)),
inference(backward_demodulation,[],[f89,f99]) ).
fof(f99,plain,
sK1(i2003_11_14_17_20_18265) = sK0(i2003_11_14_17_20_18265),
inference(resolution,[],[f95,f93]) ).
fof(f93,plain,
rr(i2003_11_14_17_20_18265,sK0(i2003_11_14_17_20_18265)),
inference(resolution,[],[f78,f61]) ).
fof(f78,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f95,plain,
! [X0] :
( ~ rr(i2003_11_14_17_20_18265,X0)
| sK1(i2003_11_14_17_20_18265) = X0 ),
inference(resolution,[],[f94,f91]) ).
fof(f91,plain,
rr(i2003_11_14_17_20_18265,sK1(i2003_11_14_17_20_18265)),
inference(resolution,[],[f74,f61]) ).
fof(f74,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f94,plain,
! [X0,X1] :
( ~ rr(i2003_11_14_17_20_18265,X0)
| X0 = X1
| ~ rr(i2003_11_14_17_20_18265,X1) ),
inference(resolution,[],[f76,f61]) ).
fof(f76,plain,
! [X2,X3,X0] :
( ~ cUnsatisfiable(X0)
| X2 = X3
| ~ rr(X0,X3)
| ~ rr(X0,X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f89,plain,
cc(sK1(i2003_11_14_17_20_18265)),
inference(resolution,[],[f75,f61]) ).
fof(f75,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(sK1(X0)) ),
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS096+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.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 00:25:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % (25152)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.47 % (25152)First to succeed.
% 0.20/0.47 % (25152)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (25152)------------------------------
% 0.20/0.47 % (25152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (25152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (25152)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (25152)Memory used [KB]: 5500
% 0.20/0.47 % (25152)Time elapsed: 0.035 s
% 0.20/0.47 % (25152)Instructions burned: 3 (million)
% 0.20/0.47 % (25152)------------------------------
% 0.20/0.47 % (25152)------------------------------
% 0.20/0.47 % (25125)Success in time 0.121 s
%------------------------------------------------------------------------------