TSTP Solution File: KRS084+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS084+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_uns --cores 0 -t %d %s
% Computer : n018.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 17:29:39 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 59 ( 4 unt; 0 def)
% Number of atoms : 239 ( 7 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 294 ( 114 ~; 96 |; 65 &)
% ( 9 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 136 ( 112 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f211,plain,
$false,
inference(resolution,[],[f209,f135]) ).
fof(f135,plain,
cUnsatisfiable(i2003_11_14_17_19_35232),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
cUnsatisfiable(i2003_11_14_17_19_35232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f209,plain,
! [X1] : ~ cUnsatisfiable(X1),
inference(subsumption_resolution,[],[f208,f163]) ).
fof(f163,plain,
! [X0] :
( cc(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f122,f143]) ).
fof(f143,plain,
! [X0] :
( ~ cd(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ( ( cc(X0)
& rf(X0,sK3(X0))
& ~ cc(sK3(X0)) )
| ~ cd(X0) )
& ( cd(X0)
| ~ cc(X0)
| ! [X2] :
( ~ rf(X0,X2)
| cc(X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f105,f106]) ).
fof(f106,plain,
! [X0] :
( ? [X1] :
( rf(X0,X1)
& ~ cc(X1) )
=> ( rf(X0,sK3(X0))
& ~ cc(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0] :
( ( ( cc(X0)
& ? [X1] :
( rf(X0,X1)
& ~ cc(X1) ) )
| ~ cd(X0) )
& ( cd(X0)
| ~ cc(X0)
| ! [X2] :
( ~ rf(X0,X2)
| cc(X2) ) ) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ( ( cc(X0)
& ? [X1] :
( rf(X0,X1)
& ~ cc(X1) ) )
| ~ cd(X0) )
& ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( ~ rf(X0,X1)
| cc(X1) ) ) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( ( cc(X0)
& ? [X1] :
( rf(X0,X1)
& ~ cc(X1) ) )
| ~ cd(X0) )
& ( cd(X0)
| ~ cc(X0)
| ! [X1] :
( ~ rf(X0,X1)
| cc(X1) ) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ( cc(X0)
& ? [X1] :
( rf(X0,X1)
& ~ cc(X1) ) )
<=> cd(X0) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] :
( ( ? [X4] :
( ~ cc(X4)
& rf(X3,X4) )
& cc(X3) )
<=> cd(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f122,plain,
! [X0] :
( cd(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| cc(X0)
| ( ! [X2] :
( ~ rinvF(sK0(X0),X2)
| ~ cd(X2) )
& rinvR(X0,sK0(X0)) )
| ! [X3] :
( ~ rinvF(X0,X3)
| ~ cd(X3) ) )
& ( ( ~ cc(X0)
& ! [X4] :
( ( rinvF(X4,sK1(X4))
& cd(sK1(X4)) )
| ~ rinvR(X0,X4) )
& rinvF(X0,sK2(X0))
& cd(sK2(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f91,f94,f93,f92]) ).
fof(f92,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ rinvF(X1,X2)
| ~ cd(X2) )
& rinvR(X0,X1) )
=> ( ! [X2] :
( ~ rinvF(sK0(X0),X2)
| ~ cd(X2) )
& rinvR(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X4] :
( ? [X5] :
( rinvF(X4,X5)
& cd(X5) )
=> ( rinvF(X4,sK1(X4))
& cd(sK1(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ? [X6] :
( rinvF(X0,X6)
& cd(X6) )
=> ( rinvF(X0,sK2(X0))
& cd(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| cc(X0)
| ? [X1] :
( ! [X2] :
( ~ rinvF(X1,X2)
| ~ cd(X2) )
& rinvR(X0,X1) )
| ! [X3] :
( ~ rinvF(X0,X3)
| ~ cd(X3) ) )
& ( ( ~ cc(X0)
& ! [X4] :
( ? [X5] :
( rinvF(X4,X5)
& cd(X5) )
| ~ rinvR(X0,X4) )
& ? [X6] :
( rinvF(X0,X6)
& cd(X6) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| cc(X0)
| ? [X1] :
( ! [X2] :
( ~ rinvF(X1,X2)
| ~ cd(X2) )
& rinvR(X0,X1) )
| ! [X3] :
( ~ rinvF(X0,X3)
| ~ cd(X3) ) )
& ( ( ~ cc(X0)
& ! [X1] :
( ? [X2] :
( rinvF(X1,X2)
& cd(X2) )
| ~ rinvR(X0,X1) )
& ? [X3] :
( rinvF(X0,X3)
& cd(X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| cc(X0)
| ? [X1] :
( ! [X2] :
( ~ rinvF(X1,X2)
| ~ cd(X2) )
& rinvR(X0,X1) )
| ! [X3] :
( ~ rinvF(X0,X3)
| ~ cd(X3) ) )
& ( ( ~ cc(X0)
& ! [X1] :
( ? [X2] :
( rinvF(X1,X2)
& cd(X2) )
| ~ rinvR(X0,X1) )
& ? [X3] :
( rinvF(X0,X3)
& cd(X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ~ cc(X0)
& ! [X1] :
( ? [X2] :
( rinvF(X1,X2)
& cd(X2) )
| ~ rinvR(X0,X1) )
& ? [X3] :
( rinvF(X0,X3)
& cd(X3) ) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ( ? [X3] :
( rinvF(X0,X3)
& cd(X3) )
& ~ cc(X0)
& ! [X1] :
( rinvR(X0,X1)
=> ? [X2] :
( rinvF(X1,X2)
& cd(X2) ) ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3] :
( cUnsatisfiable(X3)
<=> ( ! [X4] :
( rinvR(X3,X4)
=> ? [X5] :
( rinvF(X4,X5)
& cd(X5) ) )
& ~ cc(X3)
& ? [X4] :
( rinvF(X3,X4)
& cd(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f208,plain,
! [X1] :
( ~ cc(sK2(X1))
| ~ cUnsatisfiable(X1) ),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,plain,
! [X1] :
( ~ cUnsatisfiable(X1)
| ~ cc(sK2(X1))
| ~ cUnsatisfiable(X1) ),
inference(resolution,[],[f203,f167]) ).
fof(f167,plain,
! [X0] :
( rf(sK2(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f123,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3,X4] :
( rinvF(X3,X4)
<=> rf(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f123,plain,
! [X0] :
( rinvF(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f203,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| ~ cUnsatisfiable(X1)
| ~ cc(X0) ),
inference(resolution,[],[f202,f168]) ).
fof(f168,plain,
! [X0,X1] :
( rinvR(X1,X0)
| ~ rf(X0,X1) ),
inference(resolution,[],[f146,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X1,X0] :
( ( rinvR(X1,X0)
| ~ rr(X0,X1) )
& ( rr(X0,X1)
| ~ rinvR(X1,X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( rinvR(X1,X0)
<=> rr(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X4,X3] :
( rr(X4,X3)
<=> rinvR(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f146,plain,
! [X0,X1] :
( rr(X1,X0)
| ~ rf(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( rr(X1,X0)
| ~ rf(X1,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( rf(X1,X0)
=> rr(X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X3] :
( rf(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f202,plain,
! [X2,X3] :
( ~ rinvR(X3,X2)
| ~ cc(X2)
| ~ cUnsatisfiable(X3) ),
inference(subsumption_resolution,[],[f200,f124]) ).
fof(f124,plain,
! [X0,X4] :
( ~ rinvR(X0,X4)
| ~ cUnsatisfiable(X0)
| cd(sK1(X4)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f200,plain,
! [X2,X3] :
( ~ rinvR(X3,X2)
| ~ cUnsatisfiable(X3)
| ~ cc(X2)
| ~ cd(sK1(X2)) ),
inference(resolution,[],[f194,f173]) ).
fof(f173,plain,
! [X0,X1] :
( rf(sK1(X1),X1)
| ~ rinvR(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f125,f111]) ).
fof(f125,plain,
! [X0,X4] :
( rinvF(X4,sK1(X4))
| ~ rinvR(X0,X4)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f194,plain,
! [X4,X5] :
( ~ rf(X4,X5)
| ~ cc(X5)
| ~ cd(X4) ),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f192,plain,
! [X4,X5] :
( ~ cd(X4)
| ~ cc(X5)
| ~ rf(X4,X5)
| ~ cd(X4) ),
inference(superposition,[],[f141,f179]) ).
fof(f179,plain,
! [X0,X1] :
( sK3(X0) = X1
| ~ cd(X0)
| ~ rf(X0,X1) ),
inference(resolution,[],[f136,f142]) ).
fof(f142,plain,
! [X0] :
( rf(X0,sK3(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1,X2,X0] :
( X0 = X2
| ~ rf(X1,X2)
| ~ rf(X1,X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X2,X1,X0] :
( X0 = X2
| ~ rf(X1,X0)
| ~ rf(X1,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X2,X1,X0] :
( ( rf(X1,X0)
& rf(X1,X2) )
=> X0 = X2 ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X4,X3,X5] :
( ( rf(X3,X4)
& rf(X3,X5) )
=> X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f141,plain,
! [X0] :
( ~ cc(sK3(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS084+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_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:36:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (21325)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.50 % (21327)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50 % (21325)First to succeed.
% 0.20/0.50 % (21327)Refutation not found, incomplete strategy% (21327)------------------------------
% 0.20/0.50 % (21327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (21325)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (21325)------------------------------
% 0.20/0.50 % (21325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (21325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (21325)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (21325)Memory used [KB]: 6012
% 0.20/0.50 % (21325)Time elapsed: 0.089 s
% 0.20/0.50 % (21325)Instructions burned: 3 (million)
% 0.20/0.50 % (21325)------------------------------
% 0.20/0.50 % (21325)------------------------------
% 0.20/0.50 % (21318)Success in time 0.143 s
%------------------------------------------------------------------------------