TSTP Solution File: RNG001-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG001-3 : TPTP v8.1.2. Released v1.0.0.
% 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 14:49:40 EDT 2024
% Result : Unsatisfiable 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 59 ( 30 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3044,plain,
$false,
inference(resolution,[],[f3040,f8]) ).
fof(f8,axiom,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_times_additive_id_is_additive_id) ).
fof(f3040,plain,
! [X0] : product(X0,additive_identity,additive_identity),
inference(resolution,[],[f3019,f1]) ).
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f3019,plain,
! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| product(X1,X0,additive_identity) ),
inference(resolution,[],[f2970,f1353]) ).
fof(f1353,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(multiply(X0,X1),multiply(X0,X2),X3)
| ~ sum(X1,X2,X4)
| product(X0,X4,X3) ),
inference(resolution,[],[f295,f5]) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ sum(multiply(X0,X3),X2,X4)
| ~ sum(X3,X1,X5)
| product(X0,X5,X4) ),
inference(resolution,[],[f7,f5]) ).
fof(f7,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ product(X0,X1,X6)
| ~ product(X0,X3,X7)
| ~ sum(X6,X7,X9)
| ~ sum(X1,X3,X8)
| product(X0,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f2970,plain,
! [X0] : sum(multiply(X0,additive_identity),multiply(X0,additive_identity),additive_identity),
inference(resolution,[],[f1974,f1858]) ).
fof(f1858,plain,
! [X0,X1] : sum(multiply(X0,additive_identity),multiply(X0,X1),multiply(X0,X1)),
inference(resolution,[],[f1428,f1]) ).
fof(f1428,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2)) ),
inference(resolution,[],[f1113,f5]) ).
fof(f1113,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X3,X1,X4)
| sum(multiply(X0,X3),X2,multiply(X0,X4)) ),
inference(resolution,[],[f178,f5]) ).
fof(f178,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X5,X3,X1)
| sum(multiply(X0,X5),X4,X2) ),
inference(resolution,[],[f6,f5]) ).
fof(f6,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ product(X0,X1,X6)
| ~ product(X0,X8,X9)
| ~ product(X0,X3,X7)
| ~ sum(X1,X3,X8)
| sum(X6,X7,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f1974,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,multiply(X2,additive_identity))
| sum(X0,X1,additive_identity) ),
inference(resolution,[],[f1966,f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X3,X0)
| sum(X2,X3,X1) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X4,X5)
| ~ sum(X1,X3,X4)
| sum(X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f1966,plain,
! [X0] : sum(additive_identity,multiply(X0,additive_identity),additive_identity),
inference(resolution,[],[f1858,f788]) ).
fof(f788,plain,
! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,X1,additive_identity) ),
inference(resolution,[],[f68,f2]) ).
fof(f2,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| ~ sum(X0,X3,X1)
| sum(additive_identity,X3,X2) ),
inference(resolution,[],[f4,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG001-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 02:05:47 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (28823)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (28827)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38 Detected minimum model sizes of [1,1]
% 0.16/0.38 Detected maximum model sizes of [max,1]
% 0.16/0.38 TRYING [1,1]
% 0.16/0.38 TRYING [2,1]
% 0.16/0.38 % (28824)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38 % (28825)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 % (28826)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)
% 0.16/0.38 TRYING [3,1]
% 0.16/0.38 % (28828)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38 % (28829)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38 % (28830)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)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 Detected minimum model sizes of [1,1]
% 0.16/0.38 Detected maximum model sizes of [max,1]
% 0.16/0.38 TRYING [1,1]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2,1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [3]
% 0.16/0.38 TRYING [3,1]
% 0.16/0.38 TRYING [3]
% 0.16/0.39 TRYING [4,1]
% 0.16/0.39 TRYING [4]
% 0.16/0.39 TRYING [4,1]
% 0.16/0.39 TRYING [4]
% 0.16/0.40 TRYING [5,1]
% 0.16/0.40 TRYING [5]
% 0.22/0.40 TRYING [5,1]
% 0.22/0.40 TRYING [5]
% 0.22/0.42 TRYING [6,1]
% 0.22/0.42 TRYING [6]
% 0.22/0.43 TRYING [6,1]
% 0.22/0.43 TRYING [6]
% 0.22/0.45 % (28828)First to succeed.
% 0.22/0.45 % (28828)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45 % (28828)------------------------------
% 0.22/0.45 % (28828)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.45 % (28828)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (28828)Memory used [KB]: 1243
% 0.22/0.45 % (28828)Time elapsed: 0.069 s
% 0.22/0.45 % (28828)Instructions burned: 134 (million)
% 0.22/0.45 % (28828)------------------------------
% 0.22/0.45 % (28828)------------------------------
% 0.22/0.45 % (28823)Success in time 0.086 s
%------------------------------------------------------------------------------