TSTP Solution File: NUM310+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM310+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 : n003.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 08:18:44 EDT 2024
% Result : Theorem 4.08s 0.98s
% Output : Refutation 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 55 ( 21 unt; 0 def)
% Number of atoms : 148 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 169 ( 76 ~; 65 |; 19 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 129 ( 129 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5690,plain,
$false,
inference(resolution,[],[f5490,f4910]) ).
fof(f4910,plain,
rdn_translate(nn3,rdn_neg(rdnn(n2))),
inference(backward_demodulation,[],[f500,f4905]) ).
fof(f4905,plain,
n2 = n3,
inference(resolution,[],[f4902,f509]) ).
fof(f509,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(f4902,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n3)))
| n2 = X0 ),
inference(resolution,[],[f4899,f509]) ).
fof(f4899,plain,
! [X0] :
( ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X0,rdn_pos(rdnn(n3)))
| n2 = X0 ),
inference(resolution,[],[f4888,f508]) ).
fof(f508,plain,
rdn_translate(n6,rdn_pos(rdnn(n6))),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
rdn_translate(n6,rdn_pos(rdnn(n6))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn6) ).
fof(f4888,plain,
! [X0] :
( ~ rdn_translate(n6,rdn_pos(rdnn(n6)))
| ~ rdn_translate(X0,rdn_pos(rdnn(n3)))
| ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
| n2 = X0 ),
inference(resolution,[],[f4043,f755]) ).
fof(f755,plain,
rdn_digit_add(rdnn(n3),rdnn(n3),rdnn(n6),rdnn(n0)),
inference(cnf_transformation,[],[f335]) ).
fof(f335,axiom,
rdn_digit_add(rdnn(n3),rdnn(n3),rdnn(n6),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n3_n6_n0) ).
fof(f4043,plain,
! [X2,X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n6),rdnn(n0))
| ~ rdn_translate(n6,rdn_pos(rdnn(n6)))
| ~ rdn_translate(n3,rdn_pos(rdnn(X1)))
| ~ rdn_translate(X2,rdn_pos(rdnn(X0)))
| n2 = X2 ),
inference(resolution,[],[f1362,f760]) ).
fof(f760,plain,
rdn_digit_add(rdnn(n6),rdnn(n0),rdnn(n6),rdnn(n0)),
inference(cnf_transformation,[],[f362]) ).
fof(f362,axiom,
rdn_digit_add(rdnn(n6),rdnn(n0),rdnn(n6),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n6_n0_n6_n0) ).
fof(f1362,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(n6,rdn_pos(rdnn(X3)))
| ~ rdn_translate(n3,rdn_pos(rdnn(X1)))
| ~ rdn_translate(X4,rdn_pos(rdnn(X0)))
| n2 = X4 ),
inference(resolution,[],[f1187,f1148]) ).
fof(f1148,plain,
! [X0] :
( ~ sum(X0,n3,n6)
| n2 = X0 ),
inference(resolution,[],[f867,f475]) ).
fof(f475,plain,
sum(n2,n3,n6),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
sum(n2,n3,n6),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ ~ sum(n2,n3,n6),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
~ sum(n2,n3,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_n2_n3_not_n6) ).
fof(f867,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,[],[f413]) ).
fof(f413,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/sandbox2/benchmark/theBenchmark.p',unique_LHS) ).
fof(f1187,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,[],[f422]) ).
fof(f422,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,[],[f417]) ).
fof(f417,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(f500,plain,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
inference(cnf_transformation,[],[f131]) ).
fof(f131,axiom,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn3) ).
fof(f5490,plain,
! [X0] : ~ rdn_translate(X0,rdn_neg(rdnn(n2))),
inference(duplicate_literal_removal,[],[f4991]) ).
fof(f4991,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_neg(rdnn(n2)))
| ~ rdn_translate(X0,rdn_neg(rdnn(n2))) ),
inference(backward_demodulation,[],[f1235,f4905]) ).
fof(f1235,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_neg(rdnn(n3)))
| ~ rdn_translate(X0,rdn_neg(rdnn(n2))) ),
inference(resolution,[],[f1172,f491]) ).
fof(f491,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f268]) ).
fof(f268,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f1172,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(X0,X1)
| ~ rdn_translate(X2,rdn_neg(X0))
| ~ rdn_translate(X2,rdn_neg(X1)) ),
inference(resolution,[],[f866,f880]) ).
fof(f880,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f854]) ).
fof(f854,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f473]) ).
fof(f473,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f472]) ).
fof(f472,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f284,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( X0 != X1
& ~ less(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(f866,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_positive_less(X3,X2)
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(cnf_transformation,[],[f446]) ).
fof(f446,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X3,X2)
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(flattening,[],[f445]) ).
fof(f445,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X3,X2)
| ~ rdn_translate(X1,rdn_neg(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(ennf_transformation,[],[f412]) ).
fof(f412,plain,
! [X0,X1,X2,X3] :
( ( rdn_positive_less(X3,X2)
& rdn_translate(X1,rdn_neg(X3))
& rdn_translate(X0,rdn_neg(X2)) )
=> less(X0,X1) ),
inference(rectify,[],[f283]) ).
fof(f283,axiom,
! [X0,X1,X9,X10] :
( ( rdn_positive_less(X10,X9)
& rdn_translate(X1,rdn_neg(X10))
& rdn_translate(X0,rdn_neg(X9)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_neg) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM310+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:34:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (14401)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (14404)WARNING: value z3 for option sas not known
% 0.14/0.39 % (14402)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (14403)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (14405)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (14404)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)
% 0.14/0.39 % (14406)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)
% 0.14/0.39 % (14407)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)
% 0.14/0.39 % (14408)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)
% 0.20/0.42 TRYING [1]
% 0.20/0.43 TRYING [2]
% 0.20/0.46 TRYING [1]
% 0.20/0.47 TRYING [2]
% 0.20/0.48 TRYING [3]
% 1.31/0.54 TRYING [3]
% 1.31/0.63 TRYING [4]
% 2.84/0.77 TRYING [4]
% 4.08/0.97 % (14407)First to succeed.
% 4.08/0.97 % (14407)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14401"
% 4.08/0.98 % (14407)Refutation found. Thanks to Tanya!
% 4.08/0.98 % SZS status Theorem for theBenchmark
% 4.08/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 4.08/0.98 % (14407)------------------------------
% 4.08/0.98 % (14407)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.08/0.98 % (14407)Termination reason: Refutation
% 4.08/0.98
% 4.08/0.98 % (14407)Memory used [KB]: 4842
% 4.08/0.98 % (14407)Time elapsed: 0.584 s
% 4.08/0.98 % (14407)Instructions burned: 1503 (million)
% 4.08/0.98 % (14401)Success in time 0.61 s
%------------------------------------------------------------------------------