TSTP Solution File: NUN060+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN060+2 : TPTP v8.1.0. Released v7.3.0.
% 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 : n008.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 18:07:36 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 6 unt; 0 def)
% Number of atoms : 140 ( 32 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 165 ( 57 ~; 38 |; 64 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 122 ( 73 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f116,plain,
$false,
inference(resolution,[],[f110,f77]) ).
fof(f77,plain,
r1(sK5),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X1] :
( sK5 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X1] :
( ( ~ r1(X1)
& sK5 != X1 )
| ( sK5 = X1
& r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f1,f32]) ).
fof(f32,plain,
( ? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( X0 = X1
& r1(X1) ) )
=> ! [X1] :
( ( ~ r1(X1)
& sK5 != X1 )
| ( sK5 = X1
& r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ r1(X1)
& X0 != X1 )
| ( X0 = X1
& r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f110,plain,
! [X1] : ~ r1(X1),
inference(resolution,[],[f107,f79]) ).
fof(f79,plain,
! [X0] : r2(X0,sK11(X0)),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X2,X0] :
( sK11(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X2] :
( ( ~ r2(X0,X2)
& sK11(X0) != X2 )
| ( sK11(X0) = X2
& r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f21,f41]) ).
fof(f41,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ~ r2(X0,X2)
& X1 != X2 )
| ( X1 = X2
& r2(X0,X2) ) )
=> ! [X2] :
( ( ~ r2(X0,X2)
& sK11(X0) != X2 )
| ( sK11(X0) = X2
& r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ~ r2(X0,X2)
& X1 != X2 )
| ( X1 = X2
& r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 != X4
& ~ r2(X2,X4) )
| ( r2(X2,X4)
& X3 = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f107,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X0) ),
inference(resolution,[],[f103,f51]) ).
fof(f51,plain,
! [X0,X1] : r2(X0,sK3(X0,X1)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( sK2(X0,X1) = sK1(X0,X1)
& r2(X0,sK3(X0,X1))
& r3(X1,sK3(X0,X1),sK2(X0,X1))
& r3(X1,X0,sK4(X0,X1))
& r2(sK4(X0,X1),sK1(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f15,f29,f28,f27,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) ) )
& ? [X5] :
( r3(X1,X0,X5)
& r2(X5,X2) ) )
=> ( ? [X3] :
( sK1(X0,X1) = X3
& ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) ) )
& ? [X5] :
( r3(X1,X0,X5)
& r2(X5,sK1(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1] :
( ? [X3] :
( sK1(X0,X1) = X3
& ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) ) )
=> ( sK2(X0,X1) = sK1(X0,X1)
& ? [X4] :
( r2(X0,X4)
& r3(X1,X4,sK2(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,sK2(X0,X1)) )
=> ( r2(X0,sK3(X0,X1))
& r3(X1,sK3(X0,X1),sK2(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X5] :
( r3(X1,X0,X5)
& r2(X5,sK1(X0,X1)) )
=> ( r3(X1,X0,sK4(X0,X1))
& r2(sK4(X0,X1),sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( X2 = X3
& ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) ) )
& ? [X5] :
( r3(X1,X0,X5)
& r2(X5,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X14,X13] :
? [X15] :
( ? [X16] :
( X15 = X16
& ? [X17] :
( r2(X14,X17)
& r3(X13,X17,X16) ) )
& ? [X18] :
( r2(X18,X15)
& r3(X13,X14,X18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f103,plain,
! [X6,X4,X5] :
( ~ r2(sK11(X5),X6)
| ~ r2(X4,X5)
| ~ r1(X4) ),
inference(resolution,[],[f97,f79]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ~ r2(X3,X1)
| ~ r1(X0)
| ~ r2(X0,X3)
| ~ r2(X1,X2) ),
inference(resolution,[],[f94,f51]) ).
fof(f94,plain,
! [X8,X6,X9,X7,X5] :
( ~ r2(X8,X9)
| ~ r1(X7)
| ~ r2(X6,X8)
| ~ r2(X7,X5)
| ~ r2(X5,X6) ),
inference(resolution,[],[f73,f49]) ).
fof(f49,plain,
! [X0,X1] : r3(X1,X0,sK4(X0,X1)),
inference(cnf_transformation,[],[f30]) ).
fof(f73,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ r3(X1,X3,X2)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r1(X7) ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r2(X7,X6)
| ~ r1(X7)
| ~ r3(X1,X3,X2)
| X0 != X2 ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r2(X6,X5)
| ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) ) ) ) )
| ~ r3(X1,X3,X2) )
| X0 != X2 ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0,X2,X1] :
( X0 = X2
& ? [X3] :
( ? [X4] :
( r2(X4,X3)
& ? [X5] :
( r2(X5,X4)
& ? [X6] :
( ? [X7] :
( r1(X7)
& r2(X7,X6) )
& r2(X6,X5) ) ) )
& r3(X1,X3,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38,X21,X22] :
( X22 = X38
& ? [X15] :
( r3(X21,X15,X22)
& ? [X16] :
( r2(X16,X15)
& ? [X24] :
( ? [X18] :
( r2(X18,X24)
& ? [X33] :
( r2(X33,X18)
& r1(X33) ) )
& r2(X24,X16) ) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38,X21,X22] :
( X22 = X38
& ? [X15] :
( r3(X21,X15,X22)
& ? [X16] :
( r2(X16,X15)
& ? [X24] :
( ? [X18] :
( r2(X18,X24)
& ? [X33] :
( r2(X33,X18)
& r1(X33) ) )
& r2(X24,X16) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greq4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUN060+2 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 09:46:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (31893)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.47 % (31886)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47 % (31893)First to succeed.
% 0.19/0.47 % (31893)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (31893)------------------------------
% 0.19/0.47 % (31893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (31893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (31893)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (31893)Memory used [KB]: 6012
% 0.19/0.47 % (31893)Time elapsed: 0.094 s
% 0.19/0.47 % (31893)Instructions burned: 3 (million)
% 0.19/0.47 % (31893)------------------------------
% 0.19/0.47 % (31893)------------------------------
% 0.19/0.47 % (31882)Success in time 0.127 s
%------------------------------------------------------------------------------