TSTP Solution File: FLD018-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD018-1 : 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 : n023.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 11:06:16 EDT 2024
% Result : Unsatisfiable 1.54s 0.56s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 67 ( 34 ~; 32 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9422,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f9392]) ).
fof(f9392,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f9391]) ).
fof(f9391,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f9390,f31]) ).
fof(f31,plain,
equalish(additive_identity,a),
inference(resolution,[],[f22,f29]) ).
fof(f29,axiom,
equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_additive_identity_2) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f9390,plain,
( ~ equalish(additive_identity,a)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f9368,f30]) ).
fof(f30,axiom,
~ equalish(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_not_equal_to_additive_identity_3) ).
fof(f9368,plain,
( equalish(additive_inverse(a),additive_identity)
| ~ equalish(additive_identity,a)
| ~ spl0_1 ),
inference(resolution,[],[f710,f2080]) ).
fof(f2080,plain,
( ! [X0] :
( equalish(add(X0,additive_inverse(a)),additive_identity)
| ~ equalish(X0,a) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f2065,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f2065,plain,
( ! [X0] :
( ~ equalish(X0,a)
| equalish(add(X0,additive_inverse(a)),additive_identity)
| ~ defined(a) )
| ~ spl0_1 ),
inference(resolution,[],[f444,f3]) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f444,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X1,additive_inverse(a)),X2)
| ~ equalish(X0,X1)
| equalish(add(X0,additive_inverse(a)),X2) )
| ~ spl0_1 ),
inference(resolution,[],[f120,f43]) ).
fof(f43,plain,
( defined(additive_inverse(a))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_1
<=> defined(additive_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ defined(X2)
| ~ equalish(X0,X1)
| ~ equalish(add(X1,X2),X3)
| equalish(add(X0,X2),X3) ),
inference(resolution,[],[f24,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X2),add(X1,X2))
| ~ equalish(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f710,plain,
( ! [X0] :
( ~ equalish(add(additive_identity,additive_inverse(a)),X0)
| equalish(additive_inverse(a),X0) )
| ~ spl0_1 ),
inference(resolution,[],[f54,f43]) ).
fof(f54,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(X0,X1)
| ~ equalish(add(additive_identity,X0),X1) ),
inference(resolution,[],[f23,f34]) ).
fof(f34,plain,
! [X0] :
( equalish(X0,add(additive_identity,X0))
| ~ defined(X0) ),
inference(resolution,[],[f2,f22]) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f52,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f51,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f50,f28]) ).
fof(f50,plain,
( ~ defined(a)
| spl0_1 ),
inference(resolution,[],[f44,f12]) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f44,plain,
( ~ defined(additive_inverse(a))
| spl0_1 ),
inference(avatar_component_clause,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD018-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 03:38:55 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (12730)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (12735)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.36 % (12731)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36 % (12732)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (12733)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)
% 0.14/0.37 % (12734)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (12736)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (12737)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [3]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.42 TRYING [5]
% 0.20/0.42 TRYING [5]
% 0.20/0.42 TRYING [5]
% 0.20/0.43 TRYING [5]
% 0.20/0.51 TRYING [6]
% 0.20/0.51 TRYING [6]
% 0.20/0.52 TRYING [6]
% 0.20/0.53 TRYING [6]
% 1.54/0.56 % (12736)First to succeed.
% 1.54/0.56 % (12736)Refutation found. Thanks to Tanya!
% 1.54/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.54/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.56 % (12736)------------------------------
% 1.54/0.56 % (12736)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.54/0.56 % (12736)Termination reason: Refutation
% 1.54/0.56
% 1.54/0.56 % (12736)Memory used [KB]: 4307
% 1.54/0.56 % (12736)Time elapsed: 0.198 s
% 1.54/0.56 % (12736)Instructions burned: 433 (million)
% 1.54/0.56 % (12736)------------------------------
% 1.54/0.56 % (12736)------------------------------
% 1.54/0.56 % (12730)Success in time 0.21 s
%------------------------------------------------------------------------------