TSTP Solution File: FLD034-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD034-1 : 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 : n003.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 05:07:59 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 48 ( 25 ~; 20 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f377,plain,
$false,
inference(avatar_sat_refutation,[],[f348,f356,f370,f376]) ).
fof(f376,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f371,plain,
( $false
| spl0_13 ),
inference(resolution,[],[f369,f30]) ).
fof(f30,axiom,
equalish(m,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_equals_multiplicative_identity_3) ).
fof(f369,plain,
( ~ equalish(m,multiplicative_identity)
| spl0_13 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f367,plain,
( spl0_13
<=> equalish(m,multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f370,plain,
( ~ spl0_10
| ~ spl0_13
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f361,f354,f367,f339]) ).
fof(f339,plain,
( spl0_10
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f354,plain,
( spl0_12
<=> ! [X0] :
( ~ equalish(multiply(X0,a),a)
| ~ equalish(m,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f361,plain,
( ~ equalish(m,multiplicative_identity)
| ~ defined(a)
| ~ spl0_12 ),
inference(resolution,[],[f355,f6]) ).
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f355,plain,
( ! [X0] :
( ~ equalish(multiply(X0,a),a)
| ~ equalish(m,X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f356,plain,
( ~ spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f135,f354,f339]) ).
fof(f135,plain,
! [X0] :
( ~ equalish(multiply(X0,a),a)
| ~ equalish(m,X0)
| ~ defined(a) ),
inference(resolution,[],[f41,f25]) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X2),multiply(X1,X2))
| ~ equalish(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f41,plain,
! [X0] :
( ~ equalish(multiply(m,a),X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f23,f31]) ).
fof(f31,axiom,
~ equalish(multiply(m,a),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_not_equal_to_a_4) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f348,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| spl0_10 ),
inference(resolution,[],[f341,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f341,plain,
( ~ defined(a)
| spl0_10 ),
inference(avatar_component_clause,[],[f339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD034-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 19:45:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (4303)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (4310)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)
% 0.13/0.37 % (4308)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (4309)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (4305)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (4307)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (4306)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (4304)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (4306)First to succeed.
% 0.13/0.38 % (4306)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4303"
% 0.13/0.38 % (4306)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (4306)------------------------------
% 0.13/0.38 % (4306)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (4306)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (4306)Memory used [KB]: 918
% 0.13/0.38 % (4306)Time elapsed: 0.009 s
% 0.13/0.38 % (4306)Instructions burned: 13 (million)
% 0.13/0.38 % (4303)Success in time 0.024 s
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