TSTP Solution File: NUM303+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM303+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 : n015.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 17:58:04 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 74 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 78 ( 35 ~; 25 |; 12 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f596,plain,
$false,
inference(unit_resulting_resolution,[],[f562,f585,f578]) ).
fof(f578,plain,
! [X2,X3,X0,X1] :
( rdn_positive_less(rdn(rdnn(X2),X1),rdn(rdnn(X3),X0))
| ~ rdn_positive_less(X1,X0) ),
inference(cnf_transformation,[],[f545]) ).
fof(f545,plain,
! [X0,X1,X2,X3] :
( ~ rdn_positive_less(X1,X0)
| rdn_positive_less(rdn(rdnn(X2),X1),rdn(rdnn(X3),X0)) ),
inference(rectify,[],[f532]) ).
fof(f532,plain,
! [X0,X3,X1,X2] :
( ~ rdn_positive_less(X3,X0)
| rdn_positive_less(rdn(rdnn(X1),X3),rdn(rdnn(X2),X0)) ),
inference(ennf_transformation,[],[f415]) ).
fof(f415,plain,
! [X1,X3,X2,X0] :
( rdn_positive_less(X3,X0)
=> rdn_positive_less(rdn(rdnn(X1),X3),rdn(rdnn(X2),X0)) ),
inference(rectify,[],[f276]) ).
fof(f276,axiom,
! [X6,X3,X5,X4] :
( rdn_positive_less(X4,X6)
=> rdn_positive_less(rdn(rdnn(X3),X4),rdn(rdnn(X5),X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).
fof(f585,plain,
~ rdn_positive_less(rdn(rdnn(n1),rdnn(n2)),rdn(rdnn(n1),rdnn(n3))),
inference(unit_resulting_resolution,[],[f583,f575,f582,f551]) ).
fof(f551,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X3,rdn_pos(X0))
| ~ rdn_positive_less(X1,X0)
| ~ rdn_translate(X2,rdn_pos(X1))
| less(X2,X3) ),
inference(cnf_transformation,[],[f536]) ).
fof(f536,plain,
! [X0,X1,X2,X3] :
( ~ rdn_translate(X3,rdn_pos(X0))
| less(X2,X3)
| ~ rdn_translate(X2,rdn_pos(X1))
| ~ rdn_positive_less(X1,X0) ),
inference(rectify,[],[f523]) ).
fof(f523,plain,
! [X3,X1,X2,X0] :
( ~ rdn_translate(X0,rdn_pos(X3))
| less(X2,X0)
| ~ rdn_translate(X2,rdn_pos(X1))
| ~ rdn_positive_less(X1,X3) ),
inference(flattening,[],[f522]) ).
fof(f522,plain,
! [X1,X2,X0,X3] :
( less(X2,X0)
| ~ rdn_translate(X0,rdn_pos(X3))
| ~ rdn_translate(X2,rdn_pos(X1))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f413]) ).
fof(f413,plain,
! [X1,X2,X0,X3] :
( ( rdn_translate(X0,rdn_pos(X3))
& rdn_translate(X2,rdn_pos(X1))
& rdn_positive_less(X1,X3) )
=> less(X2,X0) ),
inference(rectify,[],[f281]) ).
fof(f281,axiom,
! [X1,X9,X0,X10] :
( ( rdn_translate(X1,rdn_pos(X10))
& rdn_positive_less(X9,X10)
& rdn_translate(X0,rdn_pos(X9)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f582,plain,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
inference(definition_unfolding,[],[f550,f577]) ).
fof(f577,plain,
n21 = n31,
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
n21 = n31,
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ ( n21 != n31 ),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
n21 != n31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n31_not_n12) ).
fof(f550,plain,
rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn21) ).
fof(f575,plain,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn31) ).
fof(f583,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f568]) ).
fof(f568,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f543]) ).
fof(f543,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X0 != X1 )
| ~ less(X0,X1) ) ),
inference(rectify,[],[f542]) ).
fof(f542,plain,
! [X1,X0] :
( ( less(X1,X0)
| less(X0,X1)
| X0 = X1 )
& ( ( ~ less(X0,X1)
& X0 != X1 )
| ~ less(X1,X0) ) ),
inference(flattening,[],[f541]) ).
fof(f541,plain,
! [X1,X0] :
( ( less(X1,X0)
| less(X0,X1)
| X0 = X1 )
& ( ( ~ less(X0,X1)
& X0 != X1 )
| ~ less(X1,X0) ) ),
inference(nnf_transformation,[],[f406]) ).
fof(f406,plain,
! [X1,X0] :
( less(X1,X0)
<=> ( ~ less(X0,X1)
& X0 != X1 ) ),
inference(rectify,[],[f284]) ).
fof(f284,axiom,
! [X1,X0] :
( ( X0 != X1
& ~ less(X1,X0) )
<=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(f562,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/sandbox2/benchmark/theBenchmark.p',rdn_positive_less23) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM303+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 06:32:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.52 % (32252)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)
% 0.21/0.52 % (32244)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)
% 0.21/0.52 % (32239)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)
% 0.21/0.52 % (32228)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.52 % (32235)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)
% 0.21/0.53 % (32229)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53 % (32231)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (32244)Instruction limit reached!
% 0.21/0.53 % (32244)------------------------------
% 0.21/0.53 % (32244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (32244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (32244)Termination reason: Unknown
% 0.21/0.53 % (32244)Termination phase: Property scanning
% 0.21/0.53
% 0.21/0.53 % (32244)Memory used [KB]: 1791
% 0.21/0.53 % (32244)Time elapsed: 0.007 s
% 0.21/0.53 % (32244)Instructions burned: 7 (million)
% 0.21/0.53 % (32244)------------------------------
% 0.21/0.53 % (32244)------------------------------
% 0.21/0.53 % (32251)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)
% 0.21/0.53 % (32232)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)
% 0.21/0.53 % (32240)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)
% 0.21/0.53 % (32242)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)
% 0.21/0.53 % (32248)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)
% 0.21/0.53 % (32239)Instruction limit reached!
% 0.21/0.53 % (32239)------------------------------
% 0.21/0.53 % (32239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (32239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (32239)Termination reason: Unknown
% 0.21/0.53 % (32239)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (32239)Memory used [KB]: 6396
% 0.21/0.53 % (32239)Time elapsed: 0.113 s
% 0.21/0.53 % (32239)Instructions burned: 8 (million)
% 0.21/0.53 % (32239)------------------------------
% 0.21/0.53 % (32239)------------------------------
% 0.21/0.53 % (32243)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)
% 0.21/0.53 % (32229)Refutation not found, incomplete strategy% (32229)------------------------------
% 0.21/0.53 % (32229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (32229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (32229)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (32229)Memory used [KB]: 6268
% 0.21/0.53 % (32229)Time elapsed: 0.003 s
% 0.21/0.53 % (32229)Instructions burned: 2 (million)
% 0.21/0.53 % (32229)------------------------------
% 0.21/0.53 % (32229)------------------------------
% 0.21/0.53 % (32242)Refutation not found, incomplete strategy% (32242)------------------------------
% 0.21/0.53 % (32242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (32242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (32242)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (32242)Memory used [KB]: 6396
% 0.21/0.53 % (32242)Time elapsed: 0.120 s
% 0.21/0.53 % (32242)Instructions burned: 5 (million)
% 0.21/0.53 % (32242)------------------------------
% 0.21/0.53 % (32242)------------------------------
% 0.21/0.53 % (32230)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53 % (32230)Instruction limit reached!
% 0.21/0.53 % (32230)------------------------------
% 0.21/0.53 % (32230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (32230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (32230)Termination reason: Unknown
% 0.21/0.53 % (32230)Termination phase: shuffling
% 0.21/0.53
% 0.21/0.53 % (32230)Memory used [KB]: 1791
% 0.21/0.53 % (32230)Time elapsed: 0.002 s
% 0.21/0.53 % (32230)Instructions burned: 3 (million)
% 0.21/0.53 % (32230)------------------------------
% 0.21/0.53 % (32230)------------------------------
% 0.21/0.54 % (32235)First to succeed.
% 0.21/0.54 % (32233)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.54 % (32252)Also succeeded, but the first one will report.
% 0.21/0.54 % (32246)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54 % (32238)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.54 % (32246)Instruction limit reached!
% 0.21/0.54 % (32246)------------------------------
% 0.21/0.54 % (32246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (32246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (32246)Termination reason: Unknown
% 0.21/0.54 % (32246)Termination phase: Naming
% 0.21/0.54
% 0.21/0.54 % (32246)Memory used [KB]: 1791
% 0.21/0.54 % (32246)Time elapsed: 0.002 s
% 0.21/0.54 % (32246)Instructions burned: 3 (million)
% 0.21/0.54 % (32246)------------------------------
% 0.21/0.54 % (32246)------------------------------
% 0.21/0.54 % (32235)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (32235)------------------------------
% 0.21/0.54 % (32235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (32235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (32235)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (32235)Memory used [KB]: 6396
% 0.21/0.54 % (32235)Time elapsed: 0.093 s
% 0.21/0.54 % (32235)Instructions burned: 6 (million)
% 0.21/0.54 % (32235)------------------------------
% 0.21/0.54 % (32235)------------------------------
% 0.21/0.54 % (32217)Success in time 0.182 s
%------------------------------------------------------------------------------