TSTP Solution File: NUM312+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM312+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 : n019.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 : Tue Apr 30 14:14:13 EDT 2024
% Result : Theorem 4.71s 1.02s
% Output : Refutation 4.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 15 unt; 0 def)
% Number of atoms : 110 ( 20 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 120 ( 52 ~; 45 |; 14 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 98 ( 96 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5238,plain,
$false,
inference(trivial_inequality_removal,[],[f5237]) ).
fof(f5237,plain,
n2 != n2,
inference(superposition,[],[f478,f4913]) ).
fof(f4913,plain,
n2 = sK0,
inference(resolution,[],[f4911,f513]) ).
fof(f513,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(f4911,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n2)))
| sK0 = X0 ),
inference(resolution,[],[f4909,f512]) ).
fof(f512,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(f4909,plain,
! [X0] :
( ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X0,rdn_pos(rdnn(n2)))
| sK0 = X0 ),
inference(resolution,[],[f4898,f511]) ).
fof(f511,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn5) ).
fof(f4898,plain,
! [X0] :
( ~ rdn_translate(n5,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X0,rdn_pos(rdnn(n2)))
| ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
| sK0 = X0 ),
inference(resolution,[],[f4054,f772]) ).
fof(f772,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f325]) ).
fof(f325,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n3_n5_n0) ).
fof(f4054,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))
| ~ rdn_translate(n5,rdn_pos(rdnn(n5)))
| ~ rdn_translate(n3,rdn_pos(rdnn(X1)))
| ~ rdn_translate(X2,rdn_pos(rdnn(X0)))
| sK0 = X2 ),
inference(resolution,[],[f1339,f763]) ).
fof(f763,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(cnf_transformation,[],[f352]) ).
fof(f352,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n0_n5_n0) ).
fof(f1339,plain,
! [X2,X3,X0,X1,X4] :
( ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_translate(n5,rdn_pos(rdnn(X3)))
| ~ rdn_translate(n3,rdn_pos(rdnn(X1)))
| ~ rdn_translate(X4,rdn_pos(rdnn(X0)))
| sK0 = X4 ),
inference(resolution,[],[f1194,f895]) ).
fof(f895,plain,
! [X0] :
( ~ sum(X0,n3,n5)
| sK0 = X0 ),
inference(resolution,[],[f870,f477]) ).
fof(f477,plain,
sum(sK0,n3,n5),
inference(cnf_transformation,[],[f473]) ).
fof(f473,plain,
( n2 != sK0
& sum(sK0,n3,n5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f426,f472]) ).
fof(f472,plain,
( ? [X0] :
( n2 != X0
& sum(X0,n3,n5) )
=> ( n2 != sK0
& sum(sK0,n3,n5) ) ),
introduced(choice_axiom,[]) ).
fof(f426,plain,
? [X0] :
( n2 != X0
& sum(X0,n3,n5) ),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ! [X0] :
( sum(X0,n3,n5)
=> n2 = X0 ),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
! [X0] :
( sum(X0,n3,n5)
=> n2 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_only_n2_n3_n5) ).
fof(f870,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X2,X3)
| ~ sum(X0,X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f448]) ).
fof(f448,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ sum(X1,X2,X3)
| ~ sum(X0,X2,X3) ),
inference(flattening,[],[f447]) ).
fof(f447,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ sum(X1,X2,X3)
| ~ sum(X0,X2,X3) ),
inference(ennf_transformation,[],[f412]) ).
fof(f412,plain,
! [X0,X1,X2,X3] :
( ( sum(X1,X2,X3)
& sum(X0,X2,X3) )
=> X0 = X1 ),
inference(rectify,[],[f294]) ).
fof(f294,axiom,
! [X16,X17,X1,X2] :
( ( sum(X17,X1,X2)
& sum(X16,X1,X2) )
=> X16 = X17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_LHS) ).
fof(f1194,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,[],[f874,f879]) ).
fof(f879,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/sandbox/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).
fof(f874,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/sandbox/benchmark/theBenchmark.p',add_digit_digit_digit) ).
fof(f478,plain,
n2 != sK0,
inference(cnf_transformation,[],[f473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM312+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n019.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 23:16:44 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % (23257)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.35 % (23260)WARNING: value z3 for option sas not known
% 0.16/0.35 % (23258)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.35 % (23264)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)
% 0.16/0.35 % (23261)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.35 % (23262)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)
% 0.16/0.35 % (23263)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)
% 0.16/0.35 % (23259)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.35 % (23260)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)
% 0.16/0.38 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.43 TRYING [1]
% 0.16/0.44 TRYING [2]
% 0.16/0.44 TRYING [3]
% 0.16/0.52 TRYING [3]
% 2.17/0.66 TRYING [4]
% 3.05/0.83 TRYING [4]
% 4.71/1.01 % (23263)First to succeed.
% 4.71/1.02 % (23263)Refutation found. Thanks to Tanya!
% 4.71/1.02 % SZS status Theorem for theBenchmark
% 4.71/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 4.71/1.02 % (23263)------------------------------
% 4.71/1.02 % (23263)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.71/1.02 % (23263)Termination reason: Refutation
% 4.71/1.02
% 4.71/1.02 % (23263)Memory used [KB]: 4877
% 4.71/1.02 % (23263)Time elapsed: 0.664 s
% 4.71/1.02 % (23263)Instructions burned: 1556 (million)
% 4.71/1.02 % (23263)------------------------------
% 4.71/1.02 % (23263)------------------------------
% 4.71/1.02 % (23257)Success in time 0.68 s
%------------------------------------------------------------------------------