TSTP Solution File: NUN067+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN067+1 : 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 : n010.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 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 10 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 123 ( 57 ~; 35 |; 28 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 70 ( 60 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,plain,
$false,
inference(resolution,[],[f102,f51]) ).
fof(f51,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f102,plain,
! [X4] : ~ id(X4,sK1),
inference(resolution,[],[f99,f94]) ).
fof(f94,plain,
! [X0] : r2(X0,sK1),
inference(resolution,[],[f93,f83]) ).
fof(f83,plain,
! [X2] :
( ~ r1(sK0(X2))
| r2(X2,sK1) ),
inference(resolution,[],[f47,f76]) ).
fof(f76,plain,
! [X2] :
( id(sK1,X2)
| ~ r1(X2) ),
inference(resolution,[],[f52,f56]) ).
fof(f56,plain,
! [X1] :
( id(X1,sK1)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1] :
( ( id(X1,sK1)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f1,f36]) ).
fof(f36,plain,
( ? [X0] :
! [X1] :
( ( id(X1,X0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,X0) ) )
=> ! [X1] :
( ( id(X1,sK1)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( id(X1,X0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f52,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X14,X15] :
( ~ id(X14,X15)
| id(X15,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f47,plain,
! [X2,X0] :
( ~ id(X2,sK0(X0))
| r2(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X2] :
( ( id(X2,sK0(X0))
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,sK0(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f34]) ).
fof(f34,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( id(X2,X1)
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,X1) ) )
=> ! [X2] :
( ( id(X2,sK0(X0))
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,sK0(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
? [X1] :
! [X2] :
( ( id(X2,X1)
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( id(X4,X3)
& r2(X2,X4) )
| ( ~ id(X4,X3)
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f93,plain,
! [X5] : r1(X5),
inference(subsumption_resolution,[],[f90,f67]) ).
fof(f67,plain,
! [X0] : r1(sK5(X0)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( r1(sK5(X0))
& id(X0,sK5(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f31,f42]) ).
fof(f42,plain,
! [X0] :
( ? [X1] :
( r1(X1)
& id(X0,X1) )
=> ( r1(sK5(X0))
& id(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
? [X1] :
( r1(X1)
& id(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0] :
! [X1] :
( ~ id(X0,X1)
| ~ r1(X1) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62] :
! [X45] :
( ~ id(X62,X45)
| ~ r1(X45) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62] :
! [X45] :
( ~ id(X62,X45)
| ~ r1(X45) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerosexistid) ).
fof(f90,plain,
! [X5] :
( r1(X5)
| ~ r1(sK5(X5)) ),
inference(resolution,[],[f58,f74]) ).
fof(f74,plain,
! [X0] : id(sK5(X0),X0),
inference(resolution,[],[f52,f66]) ).
fof(f66,plain,
! [X0] : id(X0,sK5(X0)),
inference(cnf_transformation,[],[f43]) ).
fof(f58,plain,
! [X0,X1] :
( ~ id(X1,X0)
| r1(X0)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( r1(X1)
& r1(X0) )
| ( ~ r1(X0)
& ~ r1(X1) )
| ~ id(X1,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ( r1(X0)
& r1(X1) )
| ( ~ r1(X1)
& ~ r1(X0) )
| ~ id(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X19,X20] :
( ~ id(X19,X20)
| ( r1(X19)
& r1(X20) )
| ( ~ r1(X20)
& ~ r1(X19) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ id(X2,X1) ),
inference(subsumption_resolution,[],[f57,f93]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ id(X2,X1)
| ~ r2(X0,X1)
| ~ r1(X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X64,X65] :
( ! [X66] :
( ~ id(X66,X65)
| ~ r1(X66) )
| ~ r2(X64,X65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUN067+1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 09:37:29 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.49 % (7411)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)
% 0.18/0.49 % (7403)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)
% 0.18/0.50 % (7403)Instruction limit reached!
% 0.18/0.50 % (7403)------------------------------
% 0.18/0.50 % (7403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (7403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (7403)Termination reason: Unknown
% 0.18/0.50 % (7403)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (7403)Memory used [KB]: 6012
% 0.18/0.50 % (7403)Time elapsed: 0.005 s
% 0.18/0.50 % (7403)Instructions burned: 3 (million)
% 0.18/0.50 % (7403)------------------------------
% 0.18/0.50 % (7403)------------------------------
% 0.18/0.50 % (7395)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)
% 0.18/0.50 % (7395)First to succeed.
% 0.18/0.51 % (7395)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (7395)------------------------------
% 0.18/0.51 % (7395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (7395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (7395)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (7395)Memory used [KB]: 6012
% 0.18/0.51 % (7395)Time elapsed: 0.073 s
% 0.18/0.51 % (7395)Instructions burned: 3 (million)
% 0.18/0.51 % (7395)------------------------------
% 0.18/0.51 % (7395)------------------------------
% 0.18/0.51 % (7388)Success in time 0.166 s
%------------------------------------------------------------------------------