TSTP Solution File: FLD059-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD059-2 : 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 : n020.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 11:06:32 EDT 2024
% Result : Unsatisfiable 1.53s 0.58s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 59 ( 11 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 123 ( 55 ~; 62 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8114,plain,
$false,
inference(avatar_sat_refutation,[],[f120,f169,f5336,f5444,f5941,f7458,f8113]) ).
fof(f8113,plain,
( ~ spl0_8
| spl0_50 ),
inference(avatar_contradiction_clause,[],[f8112]) ).
fof(f8112,plain,
( $false
| ~ spl0_8
| spl0_50 ),
inference(subsumption_resolution,[],[f8106,f33]) ).
fof(f33,plain,
equalish(u,add(a,a)),
inference(resolution,[],[f22,f31]) ).
fof(f31,axiom,
equalish(add(a,a),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_equals_u_4) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f8106,plain,
( ~ equalish(u,add(a,a))
| ~ spl0_8
| spl0_50 ),
inference(resolution,[],[f628,f177]) ).
fof(f177,plain,
( ! [X0] :
( less_or_equal(X0,a)
| ~ equalish(u,X0) )
| ~ spl0_8 ),
inference(resolution,[],[f119,f26]) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X2)
| ~ equalish(X0,X1)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
fof(f119,plain,
( less_or_equal(u,a)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl0_8
<=> less_or_equal(u,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f628,plain,
( ~ less_or_equal(add(a,a),a)
| spl0_50 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f627,plain,
( spl0_50
<=> less_or_equal(add(a,a),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f7458,plain,
spl0_63,
inference(avatar_split_clause,[],[f7440,f760]) ).
fof(f760,plain,
( spl0_63
<=> less_or_equal(a,add(a,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f7440,plain,
less_or_equal(a,add(a,a)),
inference(resolution,[],[f1850,f30]) ).
fof(f30,axiom,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f1850,plain,
! [X0] :
( ~ less_or_equal(additive_identity,X0)
| less_or_equal(a,add(X0,a)) ),
inference(subsumption_resolution,[],[f1832,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f1832,plain,
! [X0] :
( ~ less_or_equal(additive_identity,X0)
| less_or_equal(a,add(X0,a))
| ~ defined(a) ),
inference(resolution,[],[f377,f2]) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f377,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,a),X2)
| ~ less_or_equal(X0,X1)
| less_or_equal(X2,add(X1,a)) ),
inference(resolution,[],[f157,f28]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( ~ defined(X2)
| ~ less_or_equal(X0,X1)
| ~ equalish(add(X0,X2),X3)
| less_or_equal(X3,add(X1,X2)) ),
inference(resolution,[],[f19,f26]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X0,X2),add(X1,X2))
| ~ less_or_equal(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f5941,plain,
( spl0_51
| ~ spl0_178 ),
inference(avatar_contradiction_clause,[],[f5940]) ).
fof(f5940,plain,
( $false
| spl0_51
| ~ spl0_178 ),
inference(subsumption_resolution,[],[f5935,f633]) ).
fof(f633,plain,
( ~ equalish(u,a)
| spl0_51 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f631,plain,
( spl0_51
<=> equalish(u,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f5935,plain,
( equalish(u,a)
| ~ spl0_178 ),
inference(resolution,[],[f1593,f63]) ).
fof(f63,plain,
! [X0] :
( ~ equalish(add(a,a),X0)
| equalish(u,X0) ),
inference(resolution,[],[f23,f33]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f1593,plain,
( equalish(add(a,a),a)
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1591,plain,
( spl0_178
<=> equalish(add(a,a),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f5444,plain,
( spl0_7
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[],[f5443]) ).
fof(f5443,plain,
( $false
| spl0_7
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f5428,f114]) ).
fof(f114,plain,
( ~ less_or_equal(a,u)
| spl0_7 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl0_7
<=> less_or_equal(a,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f5428,plain,
( less_or_equal(a,u)
| ~ spl0_51 ),
inference(resolution,[],[f253,f632]) ).
fof(f632,plain,
( equalish(u,a)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f253,plain,
! [X0] :
( ~ equalish(u,X0)
| less_or_equal(X0,u) ),
inference(resolution,[],[f212,f26]) ).
fof(f212,plain,
less_or_equal(u,u),
inference(duplicate_literal_removal,[],[f211]) ).
fof(f211,plain,
( less_or_equal(u,u)
| less_or_equal(u,u) ),
inference(resolution,[],[f78,f29]) ).
fof(f29,axiom,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
fof(f78,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,u)
| less_or_equal(u,X0) ),
inference(resolution,[],[f18,f29]) ).
fof(f18,axiom,
! [X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X1,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_order_relation) ).
fof(f5336,plain,
( spl0_178
| ~ spl0_63
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f5333,f627,f760,f1591]) ).
fof(f5333,plain,
( ~ less_or_equal(a,add(a,a))
| equalish(add(a,a),a)
| ~ spl0_50 ),
inference(resolution,[],[f629,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).
fof(f629,plain,
( less_or_equal(add(a,a),a)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f169,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f168,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f164,f32]) ).
fof(f32,axiom,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_5) ).
fof(f164,plain,
( less_or_equal(additive_identity,u)
| ~ spl0_7 ),
inference(resolution,[],[f115,f53]) ).
fof(f53,plain,
! [X0] :
( ~ less_or_equal(a,X0)
| less_or_equal(additive_identity,X0) ),
inference(resolution,[],[f17,f30]) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X2)
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_order_relation) ).
fof(f115,plain,
( less_or_equal(a,u)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f120,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f92,f117,f113]) ).
fof(f92,plain,
( less_or_equal(u,a)
| less_or_equal(a,u) ),
inference(resolution,[],[f77,f29]) ).
fof(f77,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,a)
| less_or_equal(a,X0) ),
inference(resolution,[],[f18,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : FLD059-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 03:17:02 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (1280)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (1284)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (1282)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (1286)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (1285)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (1287)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)
% 0.14/0.38 % (1283)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (1281)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.21/0.42 TRYING [5]
% 0.21/0.43 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.47 TRYING [6]
% 0.21/0.50 TRYING [6]
% 0.21/0.52 TRYING [6]
% 0.21/0.56 TRYING [6]
% 1.53/0.58 % (1286)First to succeed.
% 1.53/0.58 % (1286)Refutation found. Thanks to Tanya!
% 1.53/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.53/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.58 % (1286)------------------------------
% 1.53/0.58 % (1286)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.53/0.58 % (1286)Termination reason: Refutation
% 1.53/0.58
% 1.53/0.58 % (1286)Memory used [KB]: 3834
% 1.53/0.58 % (1286)Time elapsed: 0.200 s
% 1.53/0.58 % (1286)Instructions burned: 386 (million)
% 1.53/0.58 % (1286)------------------------------
% 1.53/0.58 % (1286)------------------------------
% 1.53/0.58 % (1280)Success in time 0.203 s
%------------------------------------------------------------------------------