TSTP Solution File: RNG001-5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG001-5 : 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 : n015.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 14:49:41 EDT 2024
% Result : Unsatisfiable 40.07s 6.06s
% Output : Refutation 40.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 47 ( 24 ~; 23 |; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f194851,plain,
$false,
inference(resolution,[],[f194766,f30]) ).
fof(f30,axiom,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_multiplicative_identity_axiom) ).
fof(f194766,plain,
! [X0] : product(X0,additive_identity,additive_identity),
inference(resolution,[],[f194706,f82]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),X2)
| product(X0,X1,X2) ),
inference(resolution,[],[f12,f15]) ).
fof(f15,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X2,X0)
| ~ equalish(X0,X1)
| product(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3) ).
fof(f194706,plain,
! [X0] : equalish(multiply(X0,additive_identity),additive_identity),
inference(resolution,[],[f194604,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
fof(f194604,plain,
! [X0] : equalish(additive_identity,multiply(X0,additive_identity)),
inference(resolution,[],[f194558,f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ sum(additive_identity,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f28,f13]) ).
fof(f13,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f28,axiom,
! [X0,X1,X4,X5] :
( ~ sum(X0,X1,X5)
| equalish(X4,X5)
| ~ sum(X0,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f194558,plain,
! [X0] : sum(additive_identity,multiply(X0,additive_identity),additive_identity),
inference(resolution,[],[f52412,f4846]) ).
fof(f4846,plain,
! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,X1,additive_identity) ),
inference(resolution,[],[f416,f17]) ).
fof(f17,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| ~ sum(X0,X3,X1)
| sum(additive_identity,X3,X2) ),
inference(resolution,[],[f20,f17]) ).
fof(f20,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X4)
| ~ sum(X0,X5,X3)
| ~ sum(X1,X2,X5)
| sum(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f52412,plain,
! [X0,X1] : sum(multiply(X0,X1),multiply(X0,additive_identity),multiply(X0,X1)),
inference(resolution,[],[f22340,f14]) ).
fof(f14,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f22340,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2)) ),
inference(resolution,[],[f6540,f15]) ).
fof(f6540,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X3,X1,X4)
| sum(multiply(X0,X3),X2,multiply(X0,X4)) ),
inference(resolution,[],[f1004,f15]) ).
fof(f1004,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,[],[f24,f15]) ).
fof(f24,axiom,
! [X2,X0,X1,X8,X6,X9,X7] :
( ~ product(X0,X1,X6)
| ~ product(X0,X8,X9)
| ~ product(X0,X2,X7)
| ~ sum(X1,X2,X8)
| sum(X6,X7,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : RNG001-5 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 02:30:47 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (28512)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (28518)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34 % (28516)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34 % (28515)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)
% 0.11/0.34 % (28519)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)
% 0.11/0.34 % (28514)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (28517)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (28513)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [3]
% 0.11/0.36 TRYING [4]
% 0.11/0.36 TRYING [4]
% 0.11/0.36 TRYING [4]
% 0.11/0.36 TRYING [4]
% 0.17/0.40 TRYING [5]
% 0.17/0.41 TRYING [5]
% 0.17/0.41 TRYING [5]
% 0.17/0.41 TRYING [5]
% 1.56/0.54 TRYING [6]
% 1.69/0.56 TRYING [6]
% 1.69/0.56 TRYING [6]
% 1.69/0.58 TRYING [6]
% 3.80/0.90 TRYING [7]
% 4.31/0.95 TRYING [7]
% 4.31/0.95 TRYING [7]
% 4.65/1.03 TRYING [7]
% 9.58/1.72 TRYING [8]
% 10.70/1.88 TRYING [8]
% 10.70/1.88 TRYING [8]
% 12.92/2.21 TRYING [8]
% 20.62/3.35 TRYING [9]
% 23.92/3.79 TRYING [9]
% 24.52/3.82 TRYING [9]
% 34.46/5.25 TRYING [9]
% 40.07/6.05 % (28517)First to succeed.
% 40.07/6.06 % (28517)Refutation found. Thanks to Tanya!
% 40.07/6.06 % SZS status Unsatisfiable for theBenchmark
% 40.07/6.06 % SZS output start Proof for theBenchmark
% See solution above
% 40.07/6.06 % (28517)------------------------------
% 40.07/6.06 % (28517)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 40.07/6.06 % (28517)Termination reason: Refutation
% 40.07/6.06
% 40.07/6.06 % (28517)Memory used [KB]: 39985
% 40.07/6.06 % (28517)Time elapsed: 5.709 s
% 40.07/6.06 % (28517)Instructions burned: 11598 (million)
% 40.07/6.06 % (28517)------------------------------
% 40.07/6.06 % (28517)------------------------------
% 40.07/6.06 % (28512)Success in time 5.69 s
%------------------------------------------------------------------------------