TSTP Solution File: RNG006-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG006-2 : 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 : n032.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 14:50:13 EDT 2024
% Result : Unsatisfiable 27.07s 4.19s
% Output : Refutation 27.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f213089,plain,
$false,
inference(subsumption_resolution,[],[f213088,f36]) ).
fof(f36,axiom,
~ product(a,bS_Ic,aPb_S_IaPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_times_bS_Ic_is_aPb_S__IaPc) ).
fof(f213088,plain,
product(a,bS_Ic,aPb_S_IaPc),
inference(resolution,[],[f132074,f42]) ).
fof(f42,plain,
sum(additive_inverse(c),b,bS_Ic),
inference(resolution,[],[f18,f32]) ).
fof(f32,axiom,
sum(b,additive_inverse(c),bS_Ic),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_inverse_c) ).
fof(f18,axiom,
! [X3,X0,X1] :
( ~ sum(X0,X1,X3)
| sum(X1,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f132074,plain,
! [X0] :
( ~ sum(additive_inverse(c),b,X0)
| product(a,X0,aPb_S_IaPc) ),
inference(resolution,[],[f13596,f43]) ).
fof(f43,plain,
sum(additive_inverse(aPc),aPb,aPb_S_IaPc),
inference(resolution,[],[f18,f35]) ).
fof(f35,axiom,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aPb_plus_IaPc) ).
fof(f13596,plain,
! [X0,X1] :
( ~ sum(additive_inverse(aPc),aPb,X0)
| ~ sum(additive_inverse(c),b,X1)
| product(a,X1,X0) ),
inference(resolution,[],[f2222,f48]) ).
fof(f48,plain,
product(a,additive_inverse(c),additive_inverse(aPc)),
inference(resolution,[],[f29,f34]) ).
fof(f34,axiom,
product(a,c,aPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c) ).
fof(f29,axiom,
! [X10,X11,X12] :
( ~ product(X10,X11,X12)
| product(X10,additive_inverse(X11),additive_inverse(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_lemma1) ).
fof(f2222,plain,
! [X2,X3,X0,X1] :
( ~ product(a,X0,X2)
| ~ sum(X2,aPb,X3)
| ~ sum(X0,b,X1)
| product(a,X1,X3) ),
inference(resolution,[],[f22,f33]) ).
fof(f33,axiom,
product(a,b,aPb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f22,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ product(X0,X3,X7)
| ~ sum(X1,X3,X8)
| ~ sum(X6,X7,X9)
| ~ product(X0,X1,X6)
| product(X0,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : RNG006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue Apr 30 02:17:21 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.28 % (21146)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.29 % (21148)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.08/0.29 % (21149)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)
% 0.08/0.29 % (21153)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)
% 0.08/0.29 TRYING [1]
% 0.08/0.29 TRYING [1]
% 0.08/0.29 TRYING [2]
% 0.08/0.29 TRYING [2]
% 0.08/0.29 TRYING [3]
% 0.08/0.29 TRYING [3]
% 0.08/0.29 % (21152)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.08/0.29 % (21150)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.08/0.29 % (21147)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.08/0.29 % (21151)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.08/0.29 TRYING [1]
% 0.08/0.29 TRYING [2]
% 0.08/0.29 TRYING [1]
% 0.08/0.29 TRYING [2]
% 0.08/0.30 TRYING [3]
% 0.08/0.30 TRYING [3]
% 0.12/0.31 TRYING [4]
% 0.12/0.31 TRYING [4]
% 0.12/0.32 TRYING [4]
% 0.12/0.33 TRYING [4]
% 1.79/0.53 TRYING [5]
% 1.79/0.53 TRYING [5]
% 1.79/0.54 TRYING [5]
% 1.86/0.54 TRYING [5]
% 9.07/1.64 TRYING [6]
% 9.65/1.68 TRYING [6]
% 11.06/1.91 TRYING [6]
% 13.26/2.21 TRYING [6]
% 27.07/4.19 % (21151)First to succeed.
% 27.07/4.19 % (21151)Refutation found. Thanks to Tanya!
% 27.07/4.19 % SZS status Unsatisfiable for theBenchmark
% 27.07/4.19 % SZS output start Proof for theBenchmark
% See solution above
% 27.07/4.19 % (21151)------------------------------
% 27.07/4.19 % (21151)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 27.07/4.19 % (21151)Termination reason: Refutation
% 27.07/4.19
% 27.07/4.19 % (21151)Memory used [KB]: 48908
% 27.07/4.19 % (21151)Time elapsed: 3.897 s
% 27.07/4.19 % (21151)Instructions burned: 14298 (million)
% 27.07/4.19 % (21151)------------------------------
% 27.07/4.19 % (21151)------------------------------
% 27.07/4.19 % (21146)Success in time 3.894 s
%------------------------------------------------------------------------------