TSTP Solution File: RNG038-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG038-2 : 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 : n029.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 08:55:18 EDT 2024
% Result : Unsatisfiable 0.23s 0.41s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f854,plain,
$false,
inference(resolution,[],[f834,f30]) ).
fof(f30,axiom,
~ equalish(b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_is_additive_identity) ).
fof(f834,plain,
! [X0] : equalish(X0,additive_identity),
inference(resolution,[],[f196,f109]) ).
fof(f109,plain,
! [X0] : product(additive_identity,h(additive_identity,X0),X0),
inference(resolution,[],[f73,f27]) ).
fof(f27,axiom,
! [X0,X1] :
( ~ equalish(X0,additive_identity)
| product(X0,h(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',some_property) ).
fof(f73,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[],[f67,f10]) ).
fof(f10,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f67,plain,
! [X0,X1] :
( ~ sum(X1,additive_identity,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f23,f10]) ).
fof(f23,axiom,
! [X0,X1,X4,X5] :
( ~ sum(X0,X1,X5)
| equalish(X4,X5)
| ~ sum(X0,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f196,plain,
! [X0,X1] :
( ~ product(additive_identity,X1,X0)
| equalish(X0,additive_identity) ),
inference(resolution,[],[f24,f25]) ).
fof(f25,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f24,axiom,
! [X0,X1,X4,X5] :
( ~ product(X0,X1,X5)
| equalish(X4,X5)
| ~ product(X0,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : RNG038-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n029.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 : Fri May 3 18:21:23 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (23294)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40 % (23299)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.40 % (23301)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)
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 % (23295)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.40 % (23298)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.40 TRYING [3]
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 % (23297)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)
% 0.16/0.40 % (23300)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.40 TRYING [1]
% 0.16/0.40 % (23296)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.40 TRYING [2]
% 0.16/0.40 TRYING [3]
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 TRYING [3]
% 0.16/0.41 TRYING [3]
% 0.16/0.41 % (23299)First to succeed.
% 0.16/0.41 % (23299)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23294"
% 0.23/0.41 % (23299)Refutation found. Thanks to Tanya!
% 0.23/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.41 % (23299)------------------------------
% 0.23/0.41 % (23299)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.41 % (23299)Termination reason: Refutation
% 0.23/0.41
% 0.23/0.41 % (23299)Memory used [KB]: 932
% 0.23/0.41 % (23299)Time elapsed: 0.037 s
% 0.23/0.41 % (23299)Instructions burned: 32 (million)
% 0.23/0.41 % (23294)Success in time 0.042 s
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