TSTP Solution File: NUM323+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM323+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 : n026.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 14:14:15 EDT 2024
% Result : Theorem 3.08s 0.96s
% Output : Refutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 16 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 86 ( 41 ~; 33 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 76 ( 74 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3703,plain,
$false,
inference(resolution,[],[f3701,f501]) ).
fof(f501,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/sandbox2/benchmark/theBenchmark.p',rdnn5) ).
fof(f3701,plain,
~ rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(resolution,[],[f3699,f499]) ).
fof(f499,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/sandbox2/benchmark/theBenchmark.p',rdnn2) ).
fof(f3699,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_neg(rdnn(n2)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(n5))) ),
inference(resolution,[],[f3679,f502]) ).
fof(f502,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/sandbox2/benchmark/theBenchmark.p',rdnn7) ).
fof(f3679,plain,
! [X0] :
( ~ rdn_translate(nn7,rdn_neg(rdnn(n7)))
| ~ rdn_translate(X0,rdn_neg(rdnn(n2)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(n5))) ),
inference(resolution,[],[f3439,f767]) ).
fof(f767,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/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n5_n7_n0) ).
fof(f3439,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n7),rdnn(n0))
| ~ rdn_translate(nn7,rdn_neg(rdnn(n7)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(X1)))
| ~ rdn_translate(X2,rdn_neg(rdnn(X0))) ),
inference(resolution,[],[f1305,f754]) ).
fof(f754,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/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n0_n7_n0) ).
fof(f1305,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(nn7,rdn_neg(rdnn(X3)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(X1)))
| ~ rdn_translate(X4,rdn_neg(rdnn(X0))) ),
inference(resolution,[],[f1185,f475]) ).
fof(f475,plain,
! [X0] : ~ sum(X0,nn5,nn7),
inference(cnf_transformation,[],[f426]) ).
fof(f426,plain,
! [X0] : ~ sum(X0,nn5,nn7),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(X0,nn5,nn7),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X0] : sum(X0,nn5,nn7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_what_nn5_nn7) ).
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_neg(rdnn(X1)))
| ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(n0))
| ~ rdn_translate(X6,rdn_neg(rdnn(X3)))
| ~ rdn_translate(X5,rdn_neg(rdnn(X2))) ),
inference(resolution,[],[f871,f875]) ).
fof(f875,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X2,rdn_neg(X5))
| sum(X0,X1,X2)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_neg(X3)) ),
inference(cnf_transformation,[],[f463]) ).
fof(f463,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_neg(X3)) ),
inference(flattening,[],[f462]) ).
fof(f462,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X0,X1,X2)
| ~ rdn_translate(X2,rdn_neg(X5))
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
| ~ rdn_translate(X1,rdn_neg(X4))
| ~ rdn_translate(X0,rdn_neg(X3)) ),
inference(ennf_transformation,[],[f420]) ).
fof(f420,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rdn_translate(X2,rdn_neg(X5))
& rdn_add_with_carry(rdnn(n0),X3,X4,X5)
& rdn_translate(X1,rdn_neg(X4))
& rdn_translate(X0,rdn_neg(X3)) )
=> sum(X0,X1,X2) ),
inference(rectify,[],[f288]) ).
fof(f288,axiom,
! [X0,X1,X2,X9,X10,X11] :
( ( rdn_translate(X2,rdn_neg(X11))
& rdn_add_with_carry(rdnn(n0),X9,X10,X11)
& rdn_translate(X1,rdn_neg(X10))
& rdn_translate(X0,rdn_neg(X9)) )
=> sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_neg_neg) ).
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
% 0.00/0.09 % Problem : NUM323+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.31 % Computer : n026.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Apr 30 00:28:04 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.14/0.31 % (2757)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.34 % (2763)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)
% 0.14/0.34 % (2761)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.34 % (2764)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)
% 0.14/0.34 % (2762)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)
% 0.14/0.35 % (2760)WARNING: value z3 for option sas not known
% 0.14/0.35 % (2759)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.35 % (2760)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)
% 0.14/0.36 % (2758)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.42 TRYING [3]
% 0.14/0.51 TRYING [1]
% 0.14/0.53 TRYING [2]
% 1.57/0.65 TRYING [4]
% 1.94/0.71 TRYING [3]
% 3.08/0.96 % (2763)First to succeed.
% 3.08/0.96 % (2763)Refutation found. Thanks to Tanya!
% 3.08/0.96 % SZS status Theorem for theBenchmark
% 3.08/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 3.08/0.96 % (2763)------------------------------
% 3.08/0.96 % (2763)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.08/0.96 % (2763)Termination reason: Refutation
% 3.08/0.96
% 3.08/0.96 % (2763)Memory used [KB]: 3817
% 3.08/0.96 % (2763)Time elapsed: 0.609 s
% 3.08/0.96 % (2763)Instructions burned: 729 (million)
% 3.08/0.96 % (2763)------------------------------
% 3.08/0.96 % (2763)------------------------------
% 3.08/0.96 % (2757)Success in time 0.649 s
%------------------------------------------------------------------------------