TSTP Solution File: NUN068+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN068+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 : 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 18:07:40 EDT 2022
% Result : Theorem 0.20s 0.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 4 unt; 0 def)
% Number of atoms : 155 ( 49 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 169 ( 62 ~; 76 |; 27 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-1 aty)
% Number of variables : 102 ( 88 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f603,plain,
$false,
inference(resolution,[],[f596,f71]) ).
fof(f71,plain,
! [X4] : ~ r1(sK0(X4)),
inference(resolution,[],[f56,f54]) ).
fof(f54,plain,
! [X0] : r2(X0,sK0(X0)),
inference(equality_resolution,[],[f36]) ).
fof(f36,plain,
! [X2,X0] :
( r2(X0,X2)
| sK0(X0) != X2 ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X2] :
( ( r2(X0,X2)
& sK0(X0) = X2 )
| ( ~ r2(X0,X2)
& sK0(X0) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f21]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( r2(X0,X2)
& X1 = X2 )
| ( ~ r2(X0,X2)
& X1 != X2 ) )
=> ! [X2] :
( ( r2(X0,X2)
& sK0(X0) = X2 )
| ( ~ r2(X0,X2)
& sK0(X0) != X2 ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
? [X1] :
! [X2] :
( ( r2(X0,X2)
& X1 = X2 )
| ( ~ r2(X0,X2)
& X1 != 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(f56,plain,
! [X2,X1] :
( ~ r2(X1,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ r1(X2)
| X0 != X2
| ~ r2(X1,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ! [X2] :
( ~ r1(X2)
| X0 != X2 )
| ~ r2(X1,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X41,X40] :
( ! [X42] :
( X41 != X42
| ~ r1(X42) )
| ~ r2(X40,X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
fof(f596,plain,
! [X2] : r1(X2),
inference(duplicate_literal_removal,[],[f592]) ).
fof(f592,plain,
! [X2] :
( r1(X2)
| r1(X2) ),
inference(resolution,[],[f588,f54]) ).
fof(f588,plain,
! [X0,X1] :
( ~ r2(X1,sK0(X0))
| r1(X0)
| r1(X1) ),
inference(subsumption_resolution,[],[f587,f71]) ).
fof(f587,plain,
! [X0,X1] :
( ~ r2(X1,sK0(X0))
| r1(X0)
| r1(sK0(X0))
| r1(X1) ),
inference(duplicate_literal_removal,[],[f583]) ).
fof(f583,plain,
! [X0,X1] :
( r1(X0)
| r1(X1)
| ~ r2(X1,sK0(X0))
| r1(X0)
| r1(sK0(X0)) ),
inference(superposition,[],[f122,f216]) ).
fof(f216,plain,
! [X16,X15] :
( sK4(sK0(X15)) = sK0(X15)
| r1(X15)
| ~ r2(X16,sK0(X15))
| r1(X16) ),
inference(superposition,[],[f133,f101]) ).
fof(f101,plain,
! [X4,X5] :
( sK6(X5) = X4
| sK4(X5) = X5
| ~ r2(X4,X5) ),
inference(resolution,[],[f53,f64]) ).
fof(f64,plain,
! [X0] :
( r2(sK6(X0),X0)
| sK4(X0) = X0 ),
inference(duplicate_literal_removal,[],[f62]) ).
fof(f62,plain,
! [X0] :
( r2(sK6(X0),X0)
| sK4(X0) = X0
| sK4(X0) = X0 ),
inference(superposition,[],[f48,f46]) ).
fof(f46,plain,
! [X0] :
( sK5(X0) = X0
| sK4(X0) = X0 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( sK4(X0) = X0
& r1(sK4(X0)) )
| ( r2(sK6(X0),sK5(X0))
& r1(sK6(X0))
& sK5(X0) = X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f19,f29,f28,f27]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& r1(X1) )
=> ( sK4(X0) = X0
& r1(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r1(X3) )
& X0 = X2 )
=> ( ? [X3] :
( r2(X3,sK5(X0))
& r1(X3) )
& sK5(X0) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ? [X3] :
( r2(X3,sK5(X0))
& r1(X3) )
=> ( r2(sK6(X0),sK5(X0))
& r1(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& r1(X1) )
| ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r1(X3) )
& X0 = X2 ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( ! [X1] :
( X0 != X1
| ~ r1(X1) )
& ! [X2] :
( X0 != X2
| ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X2) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ! [X15] :
( ~ r1(X15)
| X15 != X38 )
& ! [X21] :
( ! [X22] :
( ~ r1(X22)
| ~ r2(X22,X21) )
| X21 != X38 ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ! [X15] :
( ~ r1(X15)
| X15 != X38 )
& ! [X21] :
( ! [X22] :
( ~ r1(X22)
| ~ r2(X22,X21) )
| X21 != X38 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonzerosnononesexist) ).
fof(f48,plain,
! [X0] :
( r2(sK6(X0),sK5(X0))
| sK4(X0) = X0 ),
inference(cnf_transformation,[],[f30]) ).
fof(f53,plain,
! [X3,X0,X1] :
( ~ r2(X1,X3)
| X0 = X1
| ~ r2(X0,X3) ),
inference(equality_resolution,[],[f33]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( ~ r2(X0,X3)
| X2 != X3
| ~ r2(X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ~ r2(X0,X3)
| X2 != X3 )
| ~ r2(X1,X2) )
| X0 = X1 ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ! [X2] :
( ! [X3] :
( ~ r2(X1,X3)
| X2 != X3 )
| ~ r2(X0,X2) )
| X0 = X1 ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X26,X25] :
( X25 = X26
| ! [X27] :
( ! [X28] :
( X27 != X28
| ~ r2(X25,X28) )
| ~ r2(X26,X27) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3a) ).
fof(f133,plain,
! [X2] :
( r1(sK6(sK0(X2)))
| r1(X2) ),
inference(subsumption_resolution,[],[f131,f71]) ).
fof(f131,plain,
! [X2] :
( r1(sK6(sK0(X2)))
| r1(sK0(X2))
| r1(X2) ),
inference(superposition,[],[f122,f47]) ).
fof(f47,plain,
! [X0] :
( sK4(X0) = X0
| r1(sK6(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f122,plain,
! [X4] :
( r1(sK4(sK0(X4)))
| r1(X4) ),
inference(resolution,[],[f117,f54]) ).
fof(f117,plain,
! [X8,X9] :
( ~ r2(X9,X8)
| r1(X9)
| r1(sK4(X8)) ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f113,plain,
! [X8,X9] :
( ~ r2(X9,X8)
| r1(sK4(X8))
| r1(X9)
| r1(sK4(X8)) ),
inference(superposition,[],[f44,f102]) ).
fof(f102,plain,
! [X6,X7] :
( sK6(X7) = X6
| r1(sK4(X7))
| ~ r2(X6,X7) ),
inference(resolution,[],[f53,f60]) ).
fof(f60,plain,
! [X0] :
( r2(sK6(X0),X0)
| r1(sK4(X0)) ),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f59,plain,
! [X0] :
( r2(sK6(X0),X0)
| r1(sK4(X0))
| r1(sK4(X0)) ),
inference(superposition,[],[f45,f43]) ).
fof(f43,plain,
! [X0] :
( sK5(X0) = X0
| r1(sK4(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f45,plain,
! [X0] :
( r2(sK6(X0),sK5(X0))
| r1(sK4(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f44,plain,
! [X0] :
( r1(sK6(X0))
| r1(sK4(X0)) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN068+2 : TPTP v8.1.0. Released v7.3.0.
% 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
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 09:49:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.55 % (26607)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 % (26608)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 % (26623)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)
% 0.20/0.56 % (26624)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)
% 0.20/0.56 % (26616)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)
% 0.20/0.56 % (26615)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 % (26616)Instruction limit reached!
% 0.20/0.57 % (26616)------------------------------
% 0.20/0.57 % (26616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (26615)Instruction limit reached!
% 0.20/0.57 % (26615)------------------------------
% 0.20/0.57 % (26615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (26615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (26615)Termination reason: Unknown
% 0.20/0.57 % (26615)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (26615)Memory used [KB]: 6012
% 0.20/0.57 % (26615)Time elapsed: 0.006 s
% 0.20/0.57 % (26615)Instructions burned: 3 (million)
% 0.20/0.57 % (26615)------------------------------
% 0.20/0.57 % (26615)------------------------------
% 0.20/0.57 % (26616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (26616)Termination reason: Unknown
% 0.20/0.57 % (26616)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (26616)Memory used [KB]: 6012
% 0.20/0.57 % (26616)Time elapsed: 0.143 s
% 0.20/0.57 % (26616)Instructions burned: 7 (million)
% 0.20/0.57 % (26616)------------------------------
% 0.20/0.57 % (26616)------------------------------
% 0.20/0.59 % (26605)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.59 % (26622)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.59 % (26620)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.60 % (26607)First to succeed.
% 0.20/0.60 % (26612)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.60 % (26627)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.60 % (26613)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.60 % (26614)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60 % (26607)Refutation found. Thanks to Tanya!
% 0.20/0.60 % SZS status Theorem for theBenchmark
% 0.20/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60 % (26607)------------------------------
% 0.20/0.60 % (26607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (26607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (26607)Termination reason: Refutation
% 0.20/0.60
% 0.20/0.60 % (26607)Memory used [KB]: 6140
% 0.20/0.60 % (26607)Time elapsed: 0.155 s
% 0.20/0.60 % (26607)Instructions burned: 29 (million)
% 0.20/0.60 % (26607)------------------------------
% 0.20/0.60 % (26607)------------------------------
% 0.20/0.60 % (26600)Success in time 0.242 s
%------------------------------------------------------------------------------