TSTP Solution File: FLD030-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD030-2 : 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 : n018.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 05:07:58 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 24 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f302,plain,
$false,
inference(avatar_sat_refutation,[],[f284,f286,f301]) ).
fof(f301,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f296,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f295,f33]) ).
fof(f33,axiom,
equalish(a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_d_6) ).
fof(f295,plain,
( ~ equalish(a,d)
| ~ spl0_10 ),
inference(resolution,[],[f287,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f287,plain,
( ~ equalish(d,a)
| ~ spl0_10 ),
inference(resolution,[],[f283,f32]) ).
fof(f32,axiom,
equalish(multiply(a,b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_c_5) ).
fof(f283,plain,
( ! [X0] :
( ~ equalish(multiply(X0,b),c)
| ~ equalish(d,X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl0_10
<=> ! [X0] :
( ~ equalish(d,X0)
| ~ equalish(multiply(X0,b),c) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f286,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f285,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f257,f29]) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f257,plain,
( ~ defined(b)
| spl0_8 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_8
<=> defined(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f284,plain,
( ~ spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f120,f282,f255]) ).
fof(f120,plain,
! [X0] :
( ~ equalish(d,X0)
| ~ defined(b)
| ~ equalish(multiply(X0,b),c) ),
inference(resolution,[],[f25,f44]) ).
fof(f44,plain,
! [X0] :
( ~ equalish(multiply(d,b),X0)
| ~ equalish(X0,c) ),
inference(resolution,[],[f23,f34]) ).
fof(f34,axiom,
~ equalish(multiply(d,b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_not_equal_to_c_7) ).
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(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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD030-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n018.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 19:49:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (9924)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (9926)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (9931)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 % (9928)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 % (9930)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (9927)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 % (9929)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (9925)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 [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (9927)First to succeed.
% 0.13/0.38 % (9927)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9924"
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (9927)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 % (9927)------------------------------
% 0.13/0.38 % (9927)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (9927)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (9927)Memory used [KB]: 909
% 0.13/0.38 % (9927)Time elapsed: 0.008 s
% 0.13/0.38 % (9927)Instructions burned: 11 (million)
% 0.13/0.38 % (9924)Success in time 0.023 s
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