TSTP Solution File: NUM291+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM291+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 : n014.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 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 59 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 63 ( 29 ~; 22 |; 9 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1158,plain,
$false,
inference(resolution,[],[f1155,f905]) ).
fof(f905,plain,
~ less(n2,n3),
inference(resolution,[],[f732,f586]) ).
fof(f586,plain,
less(n3,n2),
inference(cnf_transformation,[],[f420]) ).
fof(f420,plain,
less(n3,n2),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ ~ less(n3,n2),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
~ less(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n3_not_less_n2) ).
fof(f732,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f487]) ).
fof(f487,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f486]) ).
fof(f486,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f284,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( X0 != X1
& ~ less(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(f1155,plain,
less(n2,n3),
inference(resolution,[],[f985,f833]) ).
fof(f833,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(f985,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n2)))
| less(X0,n3) ),
inference(resolution,[],[f936,f861]) ).
fof(f861,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(f936,plain,
! [X2,X3] :
( ~ rdn_positive_less(X2,rdnn(n3))
| less(X3,n3)
| ~ rdn_translate(X3,rdn_pos(X2)) ),
inference(resolution,[],[f533,f767]) ).
fof(f767,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(f533,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X3,rdn_pos(X0))
| ~ rdn_positive_less(X1,X0)
| less(X2,X3)
| ~ rdn_translate(X2,rdn_pos(X1)) ),
inference(cnf_transformation,[],[f476]) ).
fof(f476,plain,
! [X0,X1,X2,X3] :
( ~ rdn_positive_less(X1,X0)
| ~ rdn_translate(X2,rdn_pos(X1))
| ~ rdn_translate(X3,rdn_pos(X0))
| less(X2,X3) ),
inference(rectify,[],[f437]) ).
fof(f437,plain,
! [X2,X1,X0,X3] :
( ~ rdn_positive_less(X1,X2)
| ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X3,rdn_pos(X2))
| less(X0,X3) ),
inference(flattening,[],[f436]) ).
fof(f436,plain,
! [X0,X1,X3,X2] :
( less(X0,X3)
| ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X3,rdn_pos(X2))
| ~ rdn_positive_less(X1,X2) ),
inference(ennf_transformation,[],[f423]) ).
fof(f423,plain,
! [X0,X1,X3,X2] :
( ( rdn_translate(X0,rdn_pos(X1))
& rdn_translate(X3,rdn_pos(X2))
& rdn_positive_less(X1,X2) )
=> less(X0,X3) ),
inference(rectify,[],[f281]) ).
fof(f281,axiom,
! [X0,X9,X10,X1] :
( ( rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_pos(X9))
& rdn_positive_less(X9,X10) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM291+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % 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 : n014.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 06:20:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (22425)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)
% 0.20/0.52 % (22433)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)
% 0.20/0.52 % (22425)Instruction limit reached!
% 0.20/0.52 % (22425)------------------------------
% 0.20/0.52 % (22425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (22425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (22425)Termination reason: Unknown
% 0.20/0.52 % (22425)Termination phase: shuffling
% 0.20/0.52
% 0.20/0.52 % (22425)Memory used [KB]: 1791
% 0.20/0.52 % (22425)Time elapsed: 0.004 s
% 0.20/0.52 % (22425)Instructions burned: 3 (million)
% 0.20/0.52 % (22425)------------------------------
% 0.20/0.52 % (22425)------------------------------
% 0.20/0.53 % (22435)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)
% 0.20/0.54 % (22427)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)
% 0.20/0.54 % (22433)First to succeed.
% 0.20/0.55 % (22433)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (22433)------------------------------
% 0.20/0.55 % (22433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (22433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (22433)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (22433)Memory used [KB]: 6524
% 0.20/0.55 % (22433)Time elapsed: 0.099 s
% 0.20/0.55 % (22433)Instructions burned: 23 (million)
% 0.20/0.55 % (22433)------------------------------
% 0.20/0.55 % (22433)------------------------------
% 0.20/0.55 % (22378)Success in time 0.178 s
%------------------------------------------------------------------------------