TSTP Solution File: NUN087+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN087+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 : n015.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 18:07:50 EDT 2022
% Result : Theorem 1.45s 0.58s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 87 ( 25 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 88 ( 30 ~; 18 |; 36 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 54 ( 30 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f256,plain,
$false,
inference(subsumption_resolution,[],[f255,f109]) ).
fof(f109,plain,
r1(sK11),
inference(equality_resolution,[],[f83]) ).
fof(f83,plain,
! [X1] :
( sK11 != X1
| r1(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1] :
( ( sK11 != X1
& ~ r1(X1) )
| ( sK11 = X1
& r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f1,f45]) ).
fof(f45,plain,
( ? [X0] :
! [X1] :
( ( X0 != X1
& ~ r1(X1) )
| ( X0 = X1
& r1(X1) ) )
=> ! [X1] :
( ( sK11 != X1
& ~ r1(X1) )
| ( sK11 = X1
& r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 != X1
& ~ r1(X1) )
| ( X0 = X1
& r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f255,plain,
~ r1(sK11),
inference(subsumption_resolution,[],[f254,f66]) ).
fof(f66,plain,
! [X0] : r1(sK2(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( r1(sK2(X0))
& sK1(X0) = sK2(X0)
& r1(sK3(X0))
& r4(X0,sK3(X0),sK1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f16,f30,f29,f28]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& X1 = X2 )
& ? [X3] :
( r1(X3)
& r4(X0,X3,X1) ) )
=> ( ? [X2] :
( r1(X2)
& sK1(X0) = X2 )
& ? [X3] :
( r1(X3)
& r4(X0,X3,sK1(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& sK1(X0) = X2 )
=> ( r1(sK2(X0))
& sK1(X0) = sK2(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X3] :
( r1(X3)
& r4(X0,X3,sK1(X0)) )
=> ( r1(sK3(X0))
& r4(X0,sK3(X0),sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& X1 = X2 )
& ? [X3] :
( r1(X3)
& r4(X0,X3,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X35] :
( X33 = X35
& r1(X35) )
& ? [X34] :
( r1(X34)
& r4(X32,X34,X33) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f254,plain,
( ~ r1(sK2(sK11))
| ~ r1(sK11) ),
inference(resolution,[],[f107,f191]) ).
fof(f191,plain,
! [X6] : r4(X6,sK11,sK2(X6)),
inference(superposition,[],[f99,f115]) ).
fof(f115,plain,
! [X1] : sK3(X1) = sK11,
inference(resolution,[],[f82,f64]) ).
fof(f64,plain,
! [X0] : r1(sK3(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f82,plain,
! [X1] :
( ~ r1(X1)
| sK11 = X1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f99,plain,
! [X0] : r4(X0,sK3(X0),sK2(X0)),
inference(definition_unfolding,[],[f63,f65]) ).
fof(f65,plain,
! [X0] : sK1(X0) = sK2(X0),
inference(cnf_transformation,[],[f31]) ).
fof(f63,plain,
! [X0] : r4(X0,sK3(X0),sK1(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f107,plain,
! [X2,X1] :
( ~ r4(X2,X2,X1)
| ~ r1(X1)
| ~ r1(X2) ),
inference(equality_resolution,[],[f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( X0 != X1
| ~ r1(X1)
| ~ r4(X2,X2,X0)
| ~ r1(X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( X0 != X1
| ~ r1(X1) )
| ! [X2] :
( ~ r4(X2,X2,X0)
| ~ r1(X2) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X2] :
( X0 != X2
| ~ r1(X2) )
| ! [X1] :
( ~ r4(X1,X1,X0)
| ~ r1(X1) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ? [X0] :
( ? [X2] :
( r1(X2)
& X0 = X2 )
& ? [X1] :
( r4(X1,X1,X0)
& r1(X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X21] :
( r4(X21,X21,X38)
& r1(X21) )
& ? [X22] :
( X22 = X38
& r1(X22) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X21] :
( r4(X21,X21,X38)
& r1(X21) )
& ? [X22] :
( X22 = X38
& r1(X22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerotimeszeroeqzero) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN087+2 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % 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 : n015.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 10:02:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (6077)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55 % (6078)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55 % (6079)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.56 % (6078)Refutation not found, incomplete strategy% (6078)------------------------------
% 0.20/0.56 % (6078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (6095)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (6094)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.57 % (6086)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57 % (6078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (6078)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (6078)Memory used [KB]: 6012
% 0.20/0.57 % (6078)Time elapsed: 0.126 s
% 0.20/0.57 % (6078)Instructions burned: 5 (million)
% 0.20/0.57 % (6078)------------------------------
% 0.20/0.57 % (6078)------------------------------
% 0.20/0.57 % (6087)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57 % (6079)Refutation not found, incomplete strategy% (6079)------------------------------
% 0.20/0.57 % (6079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (6079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (6079)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (6079)Memory used [KB]: 6012
% 0.20/0.57 % (6079)Time elapsed: 0.125 s
% 0.20/0.57 % (6079)Instructions burned: 5 (million)
% 0.20/0.57 % (6079)------------------------------
% 0.20/0.57 % (6079)------------------------------
% 0.20/0.57 % (6087)Refutation not found, incomplete strategy% (6087)------------------------------
% 0.20/0.57 % (6087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (6085)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.57 % (6093)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.57 % (6094)Refutation not found, incomplete strategy% (6094)------------------------------
% 0.20/0.57 % (6094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (6095)Refutation not found, incomplete strategy% (6095)------------------------------
% 0.20/0.57 % (6095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (6095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (6095)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (6095)Memory used [KB]: 6012
% 0.20/0.57 % (6095)Time elapsed: 0.144 s
% 0.20/0.57 % (6095)Instructions burned: 4 (million)
% 0.20/0.57 % (6095)------------------------------
% 0.20/0.57 % (6095)------------------------------
% 0.20/0.57 % (6094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (6094)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (6094)Memory used [KB]: 1535
% 0.20/0.57 % (6094)Time elapsed: 0.145 s
% 0.20/0.57 % (6094)Instructions burned: 3 (million)
% 0.20/0.57 % (6094)------------------------------
% 0.20/0.57 % (6094)------------------------------
% 0.20/0.57 % (6087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (6087)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (6087)Memory used [KB]: 6012
% 0.20/0.57 % (6087)Time elapsed: 0.146 s
% 0.20/0.57 % (6087)Instructions burned: 3 (million)
% 0.20/0.57 % (6087)------------------------------
% 0.20/0.57 % (6087)------------------------------
% 0.20/0.57 % (6086)First to succeed.
% 1.45/0.58 % (6086)Refutation found. Thanks to Tanya!
% 1.45/0.58 % SZS status Theorem for theBenchmark
% 1.45/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.58 % (6086)------------------------------
% 1.45/0.58 % (6086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.58 % (6086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.58 % (6086)Termination reason: Refutation
% 1.45/0.58
% 1.45/0.58 % (6086)Memory used [KB]: 6012
% 1.45/0.58 % (6086)Time elapsed: 0.153 s
% 1.45/0.58 % (6086)Instructions burned: 6 (million)
% 1.45/0.58 % (6086)------------------------------
% 1.45/0.58 % (6086)------------------------------
% 1.45/0.58 % (6070)Success in time 0.215 s
%------------------------------------------------------------------------------