TSTP Solution File: FLD010-5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD010-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 11:06:13 EDT 2024
% Result : Unsatisfiable 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 94 ( 45 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5560,plain,
$false,
inference(subsumption_resolution,[],[f5553,f28]) ).
fof(f28,axiom,
~ sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_2) ).
fof(f5553,plain,
sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
inference(resolution,[],[f1681,f760]) ).
fof(f760,plain,
product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity)),
inference(subsumption_resolution,[],[f759,f27]) ).
fof(f27,axiom,
~ sum(additive_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_1) ).
fof(f759,plain,
( product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(subsumption_resolution,[],[f758,f17]) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f758,plain,
( product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| ~ defined(multiplicative_identity)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(subsumption_resolution,[],[f751,f37]) ).
fof(f37,plain,
defined(multiplicative_inverse(multiplicative_identity)),
inference(subsumption_resolution,[],[f35,f17]) ).
fof(f35,plain,
( defined(multiplicative_inverse(multiplicative_identity))
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f18,f27]) ).
fof(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f751,plain,
( product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| ~ defined(multiplicative_inverse(multiplicative_identity))
| ~ defined(multiplicative_identity)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(resolution,[],[f210,f72]) ).
fof(f72,plain,
! [X0] :
( product(X0,multiplicative_inverse(X0),multiplicative_identity)
| ~ defined(X0)
| sum(additive_identity,X0,additive_identity) ),
inference(resolution,[],[f9,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f210,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| product(multiplicative_identity,X1,X0)
| ~ defined(X0) ),
inference(subsumption_resolution,[],[f208,f17]) ).
fof(f208,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| product(multiplicative_identity,X1,X0)
| ~ defined(X0)
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f111,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,multiplicative_identity)
| ~ product(X0,X1,X2)
| product(X3,X2,X1)
| ~ defined(X1) ),
inference(resolution,[],[f6,f8]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f1681,plain,
! [X0] :
( ~ product(multiplicative_identity,multiplicative_identity,X0)
| sum(additive_identity,X0,multiplicative_identity) ),
inference(subsumption_resolution,[],[f1680,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f1680,plain,
! [X0] :
( ~ product(multiplicative_identity,multiplicative_identity,X0)
| sum(additive_identity,X0,multiplicative_identity)
| ~ defined(additive_identity) ),
inference(subsumption_resolution,[],[f1674,f17]) ).
fof(f1674,plain,
! [X0] :
( ~ product(multiplicative_identity,multiplicative_identity,X0)
| sum(additive_identity,X0,multiplicative_identity)
| ~ defined(multiplicative_identity)
| ~ defined(additive_identity) ),
inference(resolution,[],[f550,f31]) ).
fof(f31,plain,
! [X0] :
( product(X0,multiplicative_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f10,f8]) ).
fof(f550,plain,
! [X2,X0,X1] :
( ~ product(additive_identity,X0,X2)
| ~ product(multiplicative_identity,X0,X1)
| sum(X2,X1,X0)
| ~ defined(X0) ),
inference(subsumption_resolution,[],[f546,f17]) ).
fof(f546,plain,
! [X2,X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| ~ product(additive_identity,X0,X2)
| sum(X2,X1,X0)
| ~ defined(X0)
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f131,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f131,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X3,multiplicative_identity)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X2,X4,X1)
| ~ defined(X1) ),
inference(resolution,[],[f11,f8]) ).
fof(f11,axiom,
! [X3,X0,X8,X6,X9,X7,X5] :
( ~ product(X9,X5,X8)
| ~ product(X0,X5,X6)
| ~ product(X3,X5,X7)
| ~ sum(X0,X3,X9)
| sum(X6,X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : FLD010-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 03:17:47 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (3002)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (3004)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35 % (3009)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 % (3008)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 % (3003)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35 TRYING [2]
% 0.11/0.35 % (3005)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.11/0.35 % (3007)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.35 % (3006)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.36 TRYING [3]
% 0.11/0.36 TRYING [4]
% 0.11/0.36 TRYING [4]
% 0.11/0.36 TRYING [4]
% 0.11/0.37 TRYING [4]
% 0.11/0.38 TRYING [5]
% 0.11/0.39 TRYING [5]
% 0.11/0.39 TRYING [5]
% 0.11/0.39 TRYING [5]
% 0.18/0.45 TRYING [6]
% 0.18/0.46 TRYING [6]
% 0.18/0.46 TRYING [6]
% 0.18/0.49 TRYING [6]
% 0.18/0.51 % (3008)First to succeed.
% 0.18/0.52 % (3008)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (3008)------------------------------
% 0.18/0.52 % (3008)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.52 % (3008)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (3008)Memory used [KB]: 2819
% 0.18/0.52 % (3008)Time elapsed: 0.166 s
% 0.18/0.52 % (3008)Instructions burned: 330 (million)
% 0.18/0.52 % (3008)------------------------------
% 0.18/0.52 % (3008)------------------------------
% 0.18/0.52 % (3002)Success in time 0.179 s
%------------------------------------------------------------------------------