TSTP Solution File: NUM346+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM346+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 May 21 01:49:37 EDT 2024
% Result : Theorem 24.61s 3.94s
% Output : Refutation 24.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 54 ( 19 unt; 0 def)
% Number of atoms : 141 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 155 ( 68 ~; 58 |; 18 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 120 ( 118 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16856,plain,
$false,
inference(resolution,[],[f16842,f511]) ).
fof(f511,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn4) ).
fof(f16842,plain,
~ rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(resolution,[],[f13944,f508]) ).
fof(f508,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/sandbox2/benchmark/theBenchmark.p',rdn5) ).
fof(f13944,plain,
( ~ rdn_translate(n5,rdn_pos(rdnn(n5)))
| ~ rdn_translate(n4,rdn_pos(rdnn(n4))) ),
inference(backward_demodulation,[],[f1245,f13920]) ).
fof(f13920,plain,
n5 = sK0,
inference(resolution,[],[f13918,f508]) ).
fof(f13918,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n5)))
| sK0 = X0 ),
inference(resolution,[],[f13916,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/sandbox2/benchmark/theBenchmark.p',rdn2) ).
fof(f13916,plain,
! [X0] :
( ~ rdn_translate(n2,rdn_pos(rdnn(n2)))
| ~ rdn_translate(X0,rdn_pos(rdnn(n5)))
| sK0 = X0 ),
inference(resolution,[],[f13912,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/sandbox2/benchmark/theBenchmark.p',rdn3) ).
fof(f13912,plain,
! [X0] :
( ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X0,rdn_pos(rdnn(n5)))
| ~ rdn_translate(n2,rdn_pos(rdnn(n2)))
| sK0 = X0 ),
inference(resolution,[],[f4523,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/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n3_n5_n0) ).
fof(f4523,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n5),rdnn(n0))
| ~ rdn_translate(X2,rdn_pos(rdnn(n5)))
| ~ rdn_translate(n3,rdn_pos(rdnn(X1)))
| ~ rdn_translate(n2,rdn_pos(rdnn(X0)))
| sK0 = X2 ),
inference(resolution,[],[f1409,f742]) ).
fof(f742,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/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n0_n5_n0) ).
fof(f1409,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(n3,rdn_pos(rdnn(X1)))
| ~ rdn_translate(n2,rdn_pos(rdnn(X0)))
| sK0 = X3 ),
inference(resolution,[],[f1216,f1181]) ).
fof(f1181,plain,
! [X0] :
( ~ sum(n2,n3,X0)
| sK0 = X0 ),
inference(resolution,[],[f872,f477]) ).
fof(f477,plain,
sum(n2,n3,sK0),
inference(cnf_transformation,[],[f473]) ).
fof(f473,plain,
( ~ less(n4,sK0)
& sum(n2,n3,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f426,f472]) ).
fof(f472,plain,
( ? [X0] :
( ~ less(n4,X0)
& sum(n2,n3,X0) )
=> ( ~ less(n4,sK0)
& sum(n2,n3,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f426,plain,
? [X0] :
( ~ less(n4,X0)
& sum(n2,n3,X0) ),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ! [X0] :
( sum(n2,n3,X0)
=> less(n4,X0) ),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
! [X0] :
( sum(n2,n3,X0)
=> less(n4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_n2_n3_greater_n4) ).
fof(f872,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f452]) ).
fof(f452,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2) ),
inference(flattening,[],[f451]) ).
fof(f451,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2) ),
inference(ennf_transformation,[],[f414]) ).
fof(f414,plain,
! [X0,X1,X2,X3] :
( ( sum(X0,X1,X3)
& sum(X0,X1,X2) )
=> X2 = X3 ),
inference(rectify,[],[f293]) ).
fof(f293,axiom,
! [X0,X1,X14,X15] :
( ( sum(X0,X1,X15)
& sum(X0,X1,X14) )
=> X14 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_sum) ).
fof(f1216,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',add_digit_digit_digit) ).
fof(f1245,plain,
( ~ rdn_translate(sK0,rdn_pos(rdnn(n5)))
| ~ rdn_translate(n4,rdn_pos(rdnn(n4))) ),
inference(resolution,[],[f1192,f492]) ).
fof(f492,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f270]) ).
fof(f270,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less45) ).
fof(f1192,plain,
! [X0,X1] :
( ~ rdn_positive_less(X0,X1)
| ~ rdn_translate(sK0,rdn_pos(X1))
| ~ rdn_translate(n4,rdn_pos(X0)) ),
inference(resolution,[],[f868,f478]) ).
fof(f478,plain,
~ less(n4,sK0),
inference(cnf_transformation,[],[f473]) ).
fof(f868,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(cnf_transformation,[],[f444]) ).
fof(f444,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(flattening,[],[f443]) ).
fof(f443,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(ennf_transformation,[],[f410]) ).
fof(f410,plain,
! [X0,X1,X2,X3] :
( ( rdn_positive_less(X2,X3)
& rdn_translate(X1,rdn_pos(X3))
& rdn_translate(X0,rdn_pos(X2)) )
=> less(X0,X1) ),
inference(rectify,[],[f281]) ).
fof(f281,axiom,
! [X0,X1,X9,X10] :
( ( 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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM346+1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.38 % Computer : n010.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Mon May 20 07:30:23 EDT 2024
% 0.15/0.39 % CPUTime :
% 0.15/0.39 % (7254)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.42 % (7257)WARNING: value z3 for option sas not known
% 0.24/0.42 % (7261)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)
% 0.24/0.42 % (7260)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)
% 0.24/0.42 % (7255)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.24/0.42 % (7256)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.24/0.42 % (7258)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.24/0.42 % (7257)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)
% 0.24/0.42 % (7259)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)
% 0.24/0.46 TRYING [1]
% 0.24/0.47 TRYING [2]
% 0.24/0.51 TRYING [1]
% 0.90/0.52 TRYING [2]
% 0.90/0.52 TRYING [3]
% 1.15/0.62 TRYING [3]
% 2.55/0.76 TRYING [4]
% 3.23/0.94 TRYING [4]
% 8.13/1.55 TRYING [1]
% 8.13/1.56 TRYING [2]
% 8.36/1.61 TRYING [3]
% 10.12/1.84 TRYING [4]
% 10.86/1.93 TRYING [5]
% 17.77/3.00 TRYING [5]
% 19.54/3.18 TRYING [5]
% 24.61/3.93 % (7260)First to succeed.
% 24.61/3.93 % (7260)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7254"
% 24.61/3.94 % (7260)Refutation found. Thanks to Tanya!
% 24.61/3.94 % SZS status Theorem for theBenchmark
% 24.61/3.94 % SZS output start Proof for theBenchmark
% See solution above
% 24.61/3.94 % (7260)------------------------------
% 24.61/3.94 % (7260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 24.61/3.94 % (7260)Termination reason: Refutation
% 24.61/3.94
% 24.61/3.94 % (7260)Memory used [KB]: 11425
% 24.61/3.94 % (7260)Time elapsed: 3.509 s
% 24.61/3.94 % (7260)Instructions burned: 8272 (million)
% 24.61/3.94 % (7254)Success in time 3.526 s
%------------------------------------------------------------------------------