TSTP Solution File: NUM340+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM340+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Sun May 5 08:18:48 EDT 2024
% Result : Theorem 1.43s 0.63s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 95 ( 45 ~; 36 |; 9 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 87 ( 85 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3558,plain,
$false,
inference(resolution,[],[f3556,f511]) ).
fof(f511,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn0) ).
fof(f3556,plain,
! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n0))),
inference(resolution,[],[f3554,f511]) ).
fof(f3554,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n0)))
| ~ rdn_translate(n0,rdn_pos(rdnn(n0))) ),
inference(duplicate_literal_removal,[],[f3553]) ).
fof(f3553,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n0)))
| ~ rdn_translate(X0,rdn_pos(rdnn(n0)))
| ~ rdn_translate(n0,rdn_pos(rdnn(n0))) ),
inference(resolution,[],[f3433,f781]) ).
fof(f781,plain,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(cnf_transformation,[],[f302]) ).
fof(f302,axiom,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n0_n0_n0_n0) ).
fof(f3433,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n0),rdnn(n0))
| ~ rdn_translate(X2,rdn_pos(rdnn(n0)))
| ~ rdn_translate(X2,rdn_pos(rdnn(X1)))
| ~ rdn_translate(n0,rdn_pos(rdnn(X0))) ),
inference(resolution,[],[f1286,f781]) ).
fof(f1286,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X4),rdnn(n0))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_translate(X3,rdn_pos(rdnn(X4)))
| ~ rdn_translate(X3,rdn_pos(rdnn(X1)))
| ~ rdn_translate(n0,rdn_pos(rdnn(X0))) ),
inference(resolution,[],[f1185,f882]) ).
fof(f882,plain,
! [X0] : ~ sum(n0,X0,X0),
inference(resolution,[],[f861,f475]) ).
fof(f475,plain,
! [X0] : ~ difference(X0,n0,X0),
inference(cnf_transformation,[],[f426]) ).
fof(f426,plain,
! [X0] : ~ difference(X0,n0,X0),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X0] : difference(X0,n0,X0),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X0] : difference(X0,n0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_zero_identity) ).
fof(f861,plain,
! [X2,X0,X1] :
( difference(X0,X1,X2)
| ~ sum(X1,X2,X0) ),
inference(cnf_transformation,[],[f474]) ).
fof(f474,plain,
! [X0,X1,X2] :
( ( sum(X1,X2,X0)
| ~ difference(X0,X1,X2) )
& ( difference(X0,X1,X2)
| ~ sum(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f296]) ).
fof(f296,axiom,
! [X0,X1,X2] :
( sum(X1,X2,X0)
<=> difference(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minus_entry_point) ).
fof(f1185,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sum(X5,X6,X4)
| ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X0),rdnn(n0))
| ~ rdn_translate(X4,rdn_pos(rdnn(X1)))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(n0))
| ~ rdn_translate(X6,rdn_pos(rdnn(X3)))
| ~ rdn_translate(X5,rdn_pos(rdnn(X2))) ),
inference(resolution,[],[f871,f876]) ).
fof(f876,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_pos(X5))
| sum(X0,X1,X2)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(cnf_transformation,[],[f465]) ).
fof(f465,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(flattening,[],[f464]) ).
fof(f464,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_pos(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_pos(X4))
| ~ rdn_translate(X0,rdn_pos(X3)) ),
inference(ennf_transformation,[],[f421]) ).
fof(f421,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X2,rdn_pos(X5))
& rdn_add_with_carry(rdnn(n0),X3,X4,X5)
& rdn_translate(X1,rdn_pos(X4))
& rdn_translate(X0,rdn_pos(X3)) )
=> sum(X0,X1,X2) ),
inference(rectify,[],[f287]) ).
fof(f287,axiom,
! [X0,X1,X2,X9,X10,X11] :
( ( rdn_translate(X2,rdn_pos(X11))
& rdn_add_with_carry(rdnn(n0),X9,X10,X11)
& rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X0,rdn_pos(X9)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).
fof(f871,plain,
! [X2,X3,X0,X1,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(cnf_transformation,[],[f456]) ).
fof(f456,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(flattening,[],[f455]) ).
fof(f455,plain,
! [X0,X1,X2,X3,X4] :
( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
| ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
inference(ennf_transformation,[],[f416]) ).
fof(f416,plain,
! [X0,X1,X2,X3,X4] :
( ( rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
& rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
inference(rectify,[],[f297]) ).
fof(f297,axiom,
! [X20,X21,X22,X23,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/sandbox2/benchmark/theBenchmark.p',add_digit_digit_digit) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM340+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n012.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 : Fri May 3 14:05:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (9690)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (9694)WARNING: value z3 for option sas not known
% 0.20/0.39 % (9695)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.39 % (9692)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.39 % (9691)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.39 % (9696)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.39 % (9694)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.39 % (9698)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.39 % (9697)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.42 TRYING [1]
% 0.20/0.43 TRYING [2]
% 0.20/0.47 TRYING [1]
% 0.20/0.48 TRYING [2]
% 0.20/0.49 TRYING [3]
% 1.24/0.55 TRYING [3]
% 1.43/0.62 % (9697)First to succeed.
% 1.43/0.62 % (9697)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9690"
% 1.43/0.63 % (9697)Refutation found. Thanks to Tanya!
% 1.43/0.63 % SZS status Theorem for theBenchmark
% 1.43/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.63 % (9697)------------------------------
% 1.43/0.63 % (9697)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.43/0.63 % (9697)Termination reason: Refutation
% 1.43/0.63
% 1.43/0.63 % (9697)Memory used [KB]: 3673
% 1.43/0.63 % (9697)Time elapsed: 0.240 s
% 1.43/0.63 % (9697)Instructions burned: 690 (million)
% 1.43/0.63 % (9690)Success in time 0.255 s
%------------------------------------------------------------------------------