TSTP Solution File: KRS077+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS077+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 : n028.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 17:30:44 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 10 unt; 0 def)
% Number of atoms : 216 ( 20 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 259 ( 88 ~; 77 |; 76 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 115 ( 85 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f154,plain,
$false,
inference(subsumption_resolution,[],[f153,f131]) ).
fof(f131,plain,
~ cp(i2003_11_14_17_19_09372),
inference(resolution,[],[f129,f104]) ).
fof(f104,plain,
! [X0] :
( ~ sP0(X0)
| ~ cp(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( sP0(X0)
| ( rr(X0,sK2(X0))
& rr(X0,sK1(X0))
& sK2(X0) != sK1(X0) )
| cp(X0)
| ! [X3] :
( ~ cp(X3)
| ~ rs(X0,X3) )
| ! [X4] :
( ~ rr(X0,X4)
| ( ~ cp(sK3(X4))
& rinvS(X4,sK3(X4)) ) ) )
& ( ( ! [X6,X7] :
( ~ rr(X0,X7)
| ~ rr(X0,X6)
| X6 = X7 )
& ~ cp(X0)
& cp(sK4(X0))
& rs(X0,sK4(X0))
& rr(X0,sK5(X0))
& ! [X10] :
( cp(X10)
| ~ rinvS(sK5(X0),X10) ) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f75,f79,f78,f77,f76]) ).
fof(f76,plain,
! [X0] :
( ? [X1,X2] :
( rr(X0,X2)
& rr(X0,X1)
& X1 != X2 )
=> ( rr(X0,sK2(X0))
& rr(X0,sK1(X0))
& sK2(X0) != sK1(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X4] :
( ? [X5] :
( ~ cp(X5)
& rinvS(X4,X5) )
=> ( ~ cp(sK3(X4))
& rinvS(X4,sK3(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0] :
( ? [X8] :
( cp(X8)
& rs(X0,X8) )
=> ( cp(sK4(X0))
& rs(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ? [X9] :
( rr(X0,X9)
& ! [X10] :
( cp(X10)
| ~ rinvS(X9,X10) ) )
=> ( rr(X0,sK5(X0))
& ! [X10] :
( cp(X10)
| ~ rinvS(sK5(X0),X10) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2] :
( rr(X0,X2)
& rr(X0,X1)
& X1 != X2 )
| cp(X0)
| ! [X3] :
( ~ cp(X3)
| ~ rs(X0,X3) )
| ! [X4] :
( ~ rr(X0,X4)
| ? [X5] :
( ~ cp(X5)
& rinvS(X4,X5) ) ) )
& ( ( ! [X6,X7] :
( ~ rr(X0,X7)
| ~ rr(X0,X6)
| X6 = X7 )
& ~ cp(X0)
& ? [X8] :
( cp(X8)
& rs(X0,X8) )
& ? [X9] :
( rr(X0,X9)
& ! [X10] :
( cp(X10)
| ~ rinvS(X9,X10) ) ) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( sP0(X0)
| ? [X2,X1] :
( rr(X0,X1)
& rr(X0,X2)
& X1 != X2 )
| cp(X0)
| ! [X5] :
( ~ cp(X5)
| ~ rs(X0,X5) )
| ! [X3] :
( ~ rr(X0,X3)
| ? [X4] :
( ~ cp(X4)
& rinvS(X3,X4) ) ) )
& ( ( ! [X2,X1] :
( ~ rr(X0,X1)
| ~ rr(X0,X2)
| X1 = X2 )
& ~ cp(X0)
& ? [X5] :
( cp(X5)
& rs(X0,X5) )
& ? [X3] :
( rr(X0,X3)
& ! [X4] :
( cp(X4)
| ~ rinvS(X3,X4) ) ) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( sP0(X0)
| ? [X2,X1] :
( rr(X0,X1)
& rr(X0,X2)
& X1 != X2 )
| cp(X0)
| ! [X5] :
( ~ cp(X5)
| ~ rs(X0,X5) )
| ! [X3] :
( ~ rr(X0,X3)
| ? [X4] :
( ~ cp(X4)
& rinvS(X3,X4) ) ) )
& ( ( ! [X2,X1] :
( ~ rr(X0,X1)
| ~ rr(X0,X2)
| X1 = X2 )
& ~ cp(X0)
& ? [X5] :
( cp(X5)
& rs(X0,X5) )
& ? [X3] :
( rr(X0,X3)
& ! [X4] :
( cp(X4)
| ~ rinvS(X3,X4) ) ) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( sP0(X0)
<=> ( ! [X2,X1] :
( ~ rr(X0,X1)
| ~ rr(X0,X2)
| X1 = X2 )
& ~ cp(X0)
& ? [X5] :
( cp(X5)
& rs(X0,X5) )
& ? [X3] :
( rr(X0,X3)
& ! [X4] :
( cp(X4)
| ~ rinvS(X3,X4) ) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f129,plain,
sP0(i2003_11_14_17_19_09372),
inference(resolution,[],[f113,f86]) ).
fof(f86,plain,
cUnsatisfiable(i2003_11_14_17_19_09372),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
cUnsatisfiable(i2003_11_14_17_19_09372),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f113,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( sP0(X0)
| ~ cUnsatisfiable(X0) )
& ( cUnsatisfiable(X0)
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( sP0(X0)
<=> cUnsatisfiable(X0) ),
inference(definition_folding,[],[f57,f62]) ).
fof(f57,plain,
! [X0] :
( ( ! [X2,X1] :
( ~ rr(X0,X1)
| ~ rr(X0,X2)
| X1 = X2 )
& ~ cp(X0)
& ? [X5] :
( cp(X5)
& rs(X0,X5) )
& ? [X3] :
( rr(X0,X3)
& ! [X4] :
( cp(X4)
| ~ rinvS(X3,X4) ) ) )
<=> cUnsatisfiable(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( ? [X3] :
( rr(X0,X3)
& ! [X4] :
( cp(X4)
| ~ rinvS(X3,X4) ) )
& ~ cp(X0)
& ? [X5] :
( cp(X5)
& rs(X0,X5) )
& ! [X2,X1] :
( X1 = X2
| ~ rr(X0,X1)
| ~ rr(X0,X2) ) )
<=> cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ( ? [X3] :
( ! [X4] :
( rinvS(X3,X4)
=> cp(X4) )
& rr(X0,X3) )
& ~ cp(X0)
& ? [X5] :
( cp(X5)
& rs(X0,X5) )
& ! [X2,X1] :
( ( rr(X0,X1)
& rr(X0,X2) )
=> X1 = X2 ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] :
( ( ! [X5,X4] :
( ( rr(X3,X4)
& rr(X3,X5) )
=> X4 = X5 )
& ? [X6] :
( ! [X7] :
( rinvS(X6,X7)
=> cp(X7) )
& rr(X3,X6) )
& ~ cp(X3)
& ? [X6] :
( cp(X6)
& rs(X3,X6) ) )
<=> cUnsatisfiable(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f153,plain,
cp(i2003_11_14_17_19_09372),
inference(resolution,[],[f150,f134]) ).
fof(f134,plain,
rinvS(sK4(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372),
inference(resolution,[],[f133,f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rinvS(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( rs(X0,X1)
| ~ rinvS(X1,X0) )
& ( rinvS(X1,X0)
| ~ rs(X0,X1) ) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ( rs(X1,X0)
| ~ rinvS(X0,X1) )
& ( rinvS(X0,X1)
| ~ rs(X1,X0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( rs(X1,X0)
<=> rinvS(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3,X6] :
( rinvS(X3,X6)
<=> rs(X6,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f133,plain,
rs(i2003_11_14_17_19_09372,sK4(i2003_11_14_17_19_09372)),
inference(resolution,[],[f102,f129]) ).
fof(f102,plain,
! [X0] :
( ~ sP0(X0)
| rs(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f150,plain,
! [X0] :
( ~ rinvS(sK4(i2003_11_14_17_19_09372),X0)
| cp(X0) ),
inference(subsumption_resolution,[],[f148,f129]) ).
fof(f148,plain,
! [X0] :
( cp(X0)
| ~ rinvS(sK4(i2003_11_14_17_19_09372),X0)
| ~ sP0(i2003_11_14_17_19_09372) ),
inference(superposition,[],[f100,f142]) ).
fof(f142,plain,
sK5(i2003_11_14_17_19_09372) = sK4(i2003_11_14_17_19_09372),
inference(resolution,[],[f140,f135]) ).
fof(f135,plain,
rr(i2003_11_14_17_19_09372,sK4(i2003_11_14_17_19_09372)),
inference(resolution,[],[f133,f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ rs(X1,X0)
| rr(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( rr(X1,X0)
| ~ rs(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( rs(X1,X0)
=> rr(X1,X0) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X6,X3] :
( rs(X3,X6)
=> rr(X3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f140,plain,
! [X1] :
( ~ rr(i2003_11_14_17_19_09372,X1)
| sK5(i2003_11_14_17_19_09372) = X1 ),
inference(subsumption_resolution,[],[f139,f129]) ).
fof(f139,plain,
! [X1] :
( ~ rr(i2003_11_14_17_19_09372,X1)
| sK5(i2003_11_14_17_19_09372) = X1
| ~ sP0(i2003_11_14_17_19_09372) ),
inference(resolution,[],[f137,f101]) ).
fof(f101,plain,
! [X0] :
( rr(X0,sK5(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f137,plain,
! [X0,X1] :
( ~ rr(i2003_11_14_17_19_09372,X0)
| ~ rr(i2003_11_14_17_19_09372,X1)
| X0 = X1 ),
inference(resolution,[],[f105,f129]) ).
fof(f105,plain,
! [X0,X6,X7] :
( ~ sP0(X0)
| ~ rr(X0,X6)
| X6 = X7
| ~ rr(X0,X7) ),
inference(cnf_transformation,[],[f80]) ).
fof(f100,plain,
! [X10,X0] :
( ~ rinvS(sK5(X0),X10)
| cp(X10)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS077+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % 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 : n028.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 00:41:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55 % (12237)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56 % (12237)Instruction limit reached!
% 0.19/0.56 % (12237)------------------------------
% 0.19/0.56 % (12237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (12252)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)
% 0.19/0.56 % (12244)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.57 % (12237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (12237)Termination reason: Unknown
% 0.19/0.57 % (12237)Termination phase: Property scanning
% 0.19/0.57
% 0.19/0.57 % (12237)Memory used [KB]: 895
% 0.19/0.57 % (12237)Time elapsed: 0.004 s
% 0.19/0.57 % (12237)Instructions burned: 2 (million)
% 0.19/0.57 % (12237)------------------------------
% 0.19/0.57 % (12237)------------------------------
% 0.19/0.57 % (12252)First to succeed.
% 0.19/0.57 % (12252)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (12252)------------------------------
% 0.19/0.57 % (12252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (12252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (12252)Termination reason: Refutation
% 0.19/0.57
% 0.19/0.57 % (12252)Memory used [KB]: 5500
% 0.19/0.57 % (12252)Time elapsed: 0.089 s
% 0.19/0.57 % (12252)Instructions burned: 4 (million)
% 0.19/0.57 % (12252)------------------------------
% 0.19/0.57 % (12252)------------------------------
% 0.19/0.57 % (12228)Success in time 0.22 s
%------------------------------------------------------------------------------