TSTP Solution File: NUM290+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM290+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_uns --cores 0 -t %d %s
% Computer : n013.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 17:58:02 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 39 ( 18 ~; 15 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f596,plain,
$false,
inference(subsumption_resolution,[],[f595,f538]) ).
fof(f538,plain,
~ less(n2,n3),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
~ less(n2,n3),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ less(n2,n3),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
less(n2,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n2_less_n3) ).
fof(f595,plain,
less(n2,n3),
inference(resolution,[],[f581,f529]) ).
fof(f529,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn2) ).
fof(f581,plain,
! [X2] :
( ~ rdn_translate(X2,rdn_pos(rdnn(n2)))
| less(X2,n3) ),
inference(resolution,[],[f552,f540]) ).
fof(f540,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f552,plain,
! [X6,X7] :
( ~ rdn_positive_less(X7,rdnn(n3))
| ~ rdn_translate(X6,rdn_pos(X7))
| less(X6,n3) ),
inference(resolution,[],[f544,f536]) ).
fof(f536,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn3) ).
fof(f544,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X3,rdn_pos(X0))
| ~ rdn_translate(X2,rdn_pos(X1))
| ~ rdn_positive_less(X1,X0)
| less(X2,X3) ),
inference(cnf_transformation,[],[f522]) ).
fof(f522,plain,
! [X0,X1,X2,X3] :
( ~ rdn_translate(X2,rdn_pos(X1))
| ~ rdn_translate(X3,rdn_pos(X0))
| ~ rdn_positive_less(X1,X0)
| less(X2,X3) ),
inference(rectify,[],[f514]) ).
fof(f514,plain,
! [X0,X2,X3,X1] :
( ~ rdn_translate(X3,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X0))
| ~ rdn_positive_less(X2,X0)
| less(X3,X1) ),
inference(flattening,[],[f513]) ).
fof(f513,plain,
! [X1,X0,X2,X3] :
( less(X3,X1)
| ~ rdn_translate(X3,rdn_pos(X2))
| ~ rdn_positive_less(X2,X0)
| ~ rdn_translate(X1,rdn_pos(X0)) ),
inference(ennf_transformation,[],[f407]) ).
fof(f407,plain,
! [X1,X0,X2,X3] :
( ( rdn_translate(X3,rdn_pos(X2))
& rdn_positive_less(X2,X0)
& rdn_translate(X1,rdn_pos(X0)) )
=> less(X3,X1) ),
inference(rectify,[],[f281]) ).
fof(f281,axiom,
! [X10,X1,X9,X0] :
( ( rdn_translate(X0,rdn_pos(X9))
& rdn_translate(X1,rdn_pos(X10))
& rdn_positive_less(X9,X10) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM290+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.14 % 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 : n013.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 06:15:47 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.49 % (4903)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.49 % (4895)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.50 % (4895)Instruction limit reached!
% 0.21/0.50 % (4895)------------------------------
% 0.21/0.50 % (4895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (4903)First to succeed.
% 0.21/0.50 % (4895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (4895)Termination reason: Unknown
% 0.21/0.50 % (4895)Termination phase: Preprocessing 3
% 0.21/0.50
% 0.21/0.50 % (4895)Memory used [KB]: 1791
% 0.21/0.50 % (4895)Time elapsed: 0.004 s
% 0.21/0.50 % (4895)Instructions burned: 4 (million)
% 0.21/0.50 % (4895)------------------------------
% 0.21/0.50 % (4895)------------------------------
% 0.21/0.51 % (4903)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (4903)------------------------------
% 0.21/0.51 % (4903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (4903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (4903)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (4903)Memory used [KB]: 6268
% 0.21/0.51 % (4903)Time elapsed: 0.075 s
% 0.21/0.51 % (4903)Instructions burned: 7 (million)
% 0.21/0.51 % (4903)------------------------------
% 0.21/0.51 % (4903)------------------------------
% 0.21/0.51 % (4877)Success in time 0.149 s
%------------------------------------------------------------------------------