TSTP Solution File: NUM292+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM292+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 : n005.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 0.15s 0.52s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 22 ~; 17 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f654,plain,
$false,
inference(unit_resulting_resolution,[],[f536,f652,f496]) ).
fof(f496,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f458]) ).
fof(f458,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(ennf_transformation,[],[f279]) ).
fof(f279,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f652,plain,
~ rdn_non_zero(rdnn(n1)),
inference(unit_resulting_resolution,[],[f649,f579]) ).
fof(f579,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X1),rdn(rdnn(X0),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f476]) ).
fof(f476,plain,
! [X0,X1,X2] :
( ~ rdn_non_zero(X2)
| rdn_positive_less(rdnn(X1),rdn(rdnn(X0),X2)) ),
inference(rectify,[],[f461]) ).
fof(f461,plain,
! [X2,X1,X0] :
( ~ rdn_non_zero(X0)
| rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X0)) ),
inference(ennf_transformation,[],[f426]) ).
fof(f426,plain,
! [X0,X2,X1] :
( rdn_non_zero(X0)
=> rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X0)) ),
inference(rectify,[],[f278]) ).
fof(f278,axiom,
! [X6,X8,X5] :
( rdn_non_zero(X6)
=> rdn_positive_less(rdnn(X8),rdn(rdnn(X5),X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).
fof(f649,plain,
~ rdn_positive_less(rdnn(n2),rdn(rdnn(n3),rdnn(n1))),
inference(unit_resulting_resolution,[],[f580,f564,f546,f611]) ).
fof(f611,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X3,X2)
| less(X1,X0)
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(cnf_transformation,[],[f483]) ).
fof(f483,plain,
! [X0,X1,X2,X3] :
( ~ rdn_positive_less(X3,X2)
| less(X1,X0)
| ~ rdn_translate(X0,rdn_pos(X2))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(rectify,[],[f463]) ).
fof(f463,plain,
! [X3,X1,X0,X2] :
( ~ rdn_positive_less(X2,X0)
| less(X1,X3)
| ~ rdn_translate(X3,rdn_pos(X0))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(flattening,[],[f462]) ).
fof(f462,plain,
! [X2,X0,X3,X1] :
( less(X1,X3)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_translate(X3,rdn_pos(X0))
| ~ rdn_positive_less(X2,X0) ),
inference(ennf_transformation,[],[f408]) ).
fof(f408,plain,
! [X2,X0,X3,X1] :
( ( rdn_translate(X1,rdn_pos(X2))
& rdn_translate(X3,rdn_pos(X0))
& rdn_positive_less(X2,X0) )
=> less(X1,X3) ),
inference(rectify,[],[f281]) ).
fof(f281,axiom,
! [X10,X0,X9,X1] :
( ( rdn_positive_less(X9,X10)
& rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_pos(X9)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f546,plain,
~ less(n2,n13),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
~ less(n2,n13),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ less(n2,n13),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
less(n2,n13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n2_less_n13) ).
fof(f564,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/sandbox2/benchmark/theBenchmark.p',rdn2) ).
fof(f580,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn13) ).
fof(f536,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf_transformation,[],[f257]) ).
fof(f257,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM292+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 06:19:18 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.38 % (19738)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.15/0.38 % (19738)Instruction limit reached!
% 0.15/0.38 % (19738)------------------------------
% 0.15/0.38 % (19738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.38 % (19738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.38 % (19738)Termination reason: Unknown
% 0.15/0.38 % (19738)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (19738)Memory used [KB]: 1791
% 0.15/0.38 % (19738)Time elapsed: 0.006 s
% 0.15/0.38 % (19738)Instructions burned: 8 (million)
% 0.15/0.38 % (19738)------------------------------
% 0.15/0.38 % (19738)------------------------------
% 0.15/0.47 % (19719)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.15/0.49 % (19733)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)
% 0.15/0.49 % (19719)First to succeed.
% 0.15/0.50 % (19725)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)
% 0.15/0.50 % (19726)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)
% 0.15/0.50 % (19725)Instruction limit reached!
% 0.15/0.50 % (19725)------------------------------
% 0.15/0.50 % (19725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (19725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (19725)Termination reason: Unknown
% 0.15/0.50 % (19725)Termination phase: Property scanning
% 0.15/0.50
% 0.15/0.50 % (19725)Memory used [KB]: 1791
% 0.15/0.50 % (19725)Time elapsed: 0.005 s
% 0.15/0.50 % (19725)Instructions burned: 8 (million)
% 0.15/0.50 % (19725)------------------------------
% 0.15/0.50 % (19725)------------------------------
% 0.15/0.51 % (19732)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)
% 0.15/0.51 % (19733)Refutation not found, incomplete strategy% (19733)------------------------------
% 0.15/0.51 % (19733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (19733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (19733)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.51
% 0.15/0.51 % (19733)Memory used [KB]: 2046
% 0.15/0.51 % (19733)Time elapsed: 0.132 s
% 0.15/0.51 % (19733)Instructions burned: 12 (million)
% 0.15/0.51 % (19733)------------------------------
% 0.15/0.51 % (19733)------------------------------
% 0.15/0.52 % (19719)Refutation found. Thanks to Tanya!
% 0.15/0.52 % SZS status Theorem for theBenchmark
% 0.15/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.52 % (19719)------------------------------
% 0.15/0.52 % (19719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (19719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (19719)Termination reason: Refutation
% 0.15/0.52
% 0.15/0.52 % (19719)Memory used [KB]: 6524
% 0.15/0.52 % (19719)Time elapsed: 0.112 s
% 0.15/0.52 % (19719)Instructions burned: 13 (million)
% 0.15/0.52 % (19719)------------------------------
% 0.15/0.52 % (19719)------------------------------
% 0.15/0.52 % (19709)Success in time 0.196 s
%------------------------------------------------------------------------------