TSTP Solution File: NUM315+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM315+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 17:58:06 EDT 2022
% Result : Theorem 0.17s 0.53s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 16 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 64 ( 28 ~; 24 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f616,plain,
$false,
inference(unit_resulting_resolution,[],[f475,f611,f613,f589]) ).
fof(f589,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(X2),rdnn(X4),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X0),rdnn(n0))
| rdn_add_with_carry(rdnn(X3),rdnn(X2),rdnn(X4),rdnn(X0)) ),
inference(cnf_transformation,[],[f462]) ).
fof(f462,plain,
! [X0,X1,X2,X3,X4] :
( ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X0),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(X4),rdnn(X1),rdnn(n0))
| rdn_add_with_carry(rdnn(X3),rdnn(X2),rdnn(X4),rdnn(X0)) ),
inference(rectify,[],[f434]) ).
fof(f434,plain,
! [X2,X4,X0,X1,X3] :
( ~ rdn_digit_add(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_digit_add(rdnn(X0),rdnn(X3),rdnn(X4),rdnn(n0))
| rdn_add_with_carry(rdnn(X1),rdnn(X0),rdnn(X3),rdnn(X2)) ),
inference(flattening,[],[f433]) ).
fof(f433,plain,
! [X1,X0,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X1),rdnn(X0),rdnn(X3),rdnn(X2))
| ~ rdn_digit_add(rdnn(X0),rdnn(X3),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(n0)) ),
inference(ennf_transformation,[],[f416]) ).
fof(f416,plain,
! [X1,X0,X2,X3,X4] :
( ( rdn_digit_add(rdnn(X0),rdnn(X3),rdnn(X4),rdnn(n0))
& rdn_digit_add(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X1),rdnn(X0),rdnn(X3),rdnn(X2)) ),
inference(rectify,[],[f297]) ).
fof(f297,axiom,
! [X21,X20,X23,X22,X24] :
( ( rdn_digit_add(rdnn(X24),rdnn(X20),rdnn(X23),rdnn(n0))
& rdn_digit_add(rdnn(X21),rdnn(X22),rdnn(X24),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X20),rdnn(X21),rdnn(X22),rdnn(X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_digit_digit_digit) ).
fof(f613,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n5),rdnn(n7)),
inference(unit_resulting_resolution,[],[f560,f563,f499,f582,f471]) ).
fof(f471,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_add_with_carry(rdnn(n0),X2,X1,X5)
| ~ rdn_translate(X4,rdn_neg(X5))
| ~ rdn_translate(X3,rdn_neg(X1))
| sum(X0,X3,X4)
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(cnf_transformation,[],[f450]) ).
fof(f450,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ rdn_translate(X4,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X2,X1,X5)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X1))
| sum(X0,X3,X4) ),
inference(rectify,[],[f432]) ).
fof(f432,plain,
! [X0,X4,X5,X2,X1,X3] :
( ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_add_with_carry(rdnn(n0),X5,X4,X3)
| ~ rdn_translate(X0,rdn_neg(X5))
| ~ rdn_translate(X2,rdn_neg(X4))
| sum(X0,X2,X1) ),
inference(flattening,[],[f431]) ).
fof(f431,plain,
! [X1,X0,X4,X2,X5,X3] :
( sum(X0,X2,X1)
| ~ rdn_translate(X0,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X5,X4,X3)
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_translate(X2,rdn_neg(X4)) ),
inference(ennf_transformation,[],[f410]) ).
fof(f410,plain,
! [X1,X0,X4,X2,X5,X3] :
( ( rdn_translate(X0,rdn_neg(X5))
& rdn_add_with_carry(rdnn(n0),X5,X4,X3)
& rdn_translate(X1,rdn_neg(X3))
& rdn_translate(X2,rdn_neg(X4)) )
=> sum(X0,X2,X1) ),
inference(rectify,[],[f288]) ).
fof(f288,axiom,
! [X0,X2,X1,X11,X10,X9] :
( ( rdn_add_with_carry(rdnn(n0),X9,X10,X11)
& rdn_translate(X2,rdn_neg(X11))
& rdn_translate(X1,rdn_neg(X10))
& rdn_translate(X0,rdn_neg(X9)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_neg_neg) ).
fof(f582,plain,
~ sum(nn2,nn5,nn7),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
~ sum(nn2,nn5,nn7),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ sum(nn2,nn5,nn7),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
sum(nn2,nn5,nn7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_nn2_nn5_nn7) ).
fof(f499,plain,
rdn_translate(nn7,rdn_neg(rdnn(n7))),
inference(cnf_transformation,[],[f135]) ).
fof(f135,axiom,
rdn_translate(nn7,rdn_neg(rdnn(n7))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn7) ).
fof(f563,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f133]) ).
fof(f133,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn5) ).
fof(f560,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[],[f130]) ).
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn2) ).
fof(f611,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f372]) ).
fof(f372,axiom,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n7_n0_n7_n0) ).
fof(f475,plain,
rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[],[f327]) ).
fof(f327,axiom,
rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n5_n7_n0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM315+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % 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 : n013.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 06:18:16 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.49 % (13269)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)
% 0.17/0.50 % (13271)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.17/0.50 % (13272)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)
% 0.17/0.50 % (13277)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)
% 0.17/0.50 % (13277)Instruction limit reached!
% 0.17/0.50 % (13277)------------------------------
% 0.17/0.50 % (13277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (13278)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)
% 0.17/0.51 % (13271)Refutation not found, incomplete strategy% (13271)------------------------------
% 0.17/0.51 % (13271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (13271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (13271)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.51
% 0.17/0.51 % (13271)Memory used [KB]: 6268
% 0.17/0.51 % (13271)Time elapsed: 0.108 s
% 0.17/0.51 % (13271)Instructions burned: 3 (million)
% 0.17/0.51 % (13271)------------------------------
% 0.17/0.51 % (13271)------------------------------
% 0.17/0.51 % (13277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (13277)Termination reason: Unknown
% 0.17/0.51 % (13277)Termination phase: Preprocessing 3
% 0.17/0.51
% 0.17/0.51 % (13277)Memory used [KB]: 1791
% 0.17/0.51 % (13277)Time elapsed: 0.004 s
% 0.17/0.51 % (13277)Instructions burned: 3 (million)
% 0.17/0.51 % (13277)------------------------------
% 0.17/0.51 % (13277)------------------------------
% 0.17/0.51 % (13286)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)
% 0.17/0.51 % (13272)First to succeed.
% 0.17/0.52 % (13286)Refutation not found, incomplete strategy% (13286)------------------------------
% 0.17/0.52 % (13286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (13287)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)
% 0.17/0.52 % (13278)Instruction limit reached!
% 0.17/0.52 % (13278)------------------------------
% 0.17/0.52 % (13278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (13278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (13278)Termination reason: Unknown
% 0.17/0.52 % (13278)Termination phase: Property scanning
% 0.17/0.52
% 0.17/0.52 % (13278)Memory used [KB]: 1791
% 0.17/0.52 % (13278)Time elapsed: 0.007 s
% 0.17/0.52 % (13278)Instructions burned: 8 (million)
% 0.17/0.52 % (13278)------------------------------
% 0.17/0.52 % (13278)------------------------------
% 0.17/0.52 % (13286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (13286)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.52
% 0.17/0.52 % (13286)Memory used [KB]: 1918
% 0.17/0.52 % (13286)Time elapsed: 0.123 s
% 0.17/0.52 % (13286)Instructions burned: 7 (million)
% 0.17/0.52 % (13286)------------------------------
% 0.17/0.52 % (13286)------------------------------
% 0.17/0.53 % (13272)Refutation found. Thanks to Tanya!
% 0.17/0.53 % SZS status Theorem for theBenchmark
% 0.17/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.53 % (13272)------------------------------
% 0.17/0.53 % (13272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (13272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (13272)Termination reason: Refutation
% 0.17/0.53
% 0.17/0.53 % (13272)Memory used [KB]: 6396
% 0.17/0.53 % (13272)Time elapsed: 0.120 s
% 0.17/0.53 % (13272)Instructions burned: 9 (million)
% 0.17/0.53 % (13272)------------------------------
% 0.17/0.53 % (13272)------------------------------
% 0.17/0.53 % (13262)Success in time 0.183 s
%------------------------------------------------------------------------------