TSTP Solution File: FLD065-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD065-1 : 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 : n007.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 11:06:34 EDT 2024
% Result : Unsatisfiable 41.67s 6.34s
% Output : Refutation 41.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 81 ( 9 unt; 0 def)
% Number of atoms : 192 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 208 ( 97 ~; 103 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134145,plain,
$false,
inference(avatar_sat_refutation,[],[f75,f92,f117,f2049,f32070,f32090,f32113,f132423,f134142]) ).
fof(f134142,plain,
( ~ spl0_3
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f134141]) ).
fof(f134141,plain,
( $false
| ~ spl0_3
| spl0_9 ),
inference(subsumption_resolution,[],[f134104,f145]) ).
fof(f145,plain,
less_or_equal(a,additive_identity),
inference(subsumption_resolution,[],[f136,f30]) ).
fof(f30,axiom,
~ less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_3) ).
fof(f136,plain,
( less_or_equal(additive_identity,a)
| less_or_equal(a,additive_identity) ),
inference(resolution,[],[f99,f11]) ).
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f99,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,a)
| less_or_equal(a,X0) ),
inference(resolution,[],[f18,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
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(f134104,plain,
( ~ less_or_equal(a,additive_identity)
| ~ spl0_3
| spl0_9 ),
inference(resolution,[],[f24669,f116]) ).
fof(f116,plain,
( ~ less_or_equal(additive_identity,add(additive_identity,additive_inverse(a)))
| spl0_9 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_9
<=> less_or_equal(additive_identity,add(additive_identity,additive_inverse(a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f24669,plain,
( ! [X0] :
( less_or_equal(additive_identity,add(X0,additive_inverse(a)))
| ~ less_or_equal(a,X0) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f24654,f28]) ).
fof(f24654,plain,
( ! [X0] :
( ~ less_or_equal(a,X0)
| less_or_equal(additive_identity,add(X0,additive_inverse(a)))
| ~ defined(a) )
| ~ spl0_3 ),
inference(resolution,[],[f373,f3]) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f373,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X0,additive_inverse(a)),X2)
| ~ less_or_equal(X0,X1)
| less_or_equal(X2,add(X1,additive_inverse(a))) )
| ~ spl0_3 ),
inference(resolution,[],[f132,f69]) ).
fof(f69,plain,
( defined(additive_inverse(a))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_3
<=> defined(additive_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f132,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(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(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(f132423,plain,
( spl0_90
| ~ spl0_2964 ),
inference(avatar_contradiction_clause,[],[f132422]) ).
fof(f132422,plain,
( $false
| spl0_90
| ~ spl0_2964 ),
inference(subsumption_resolution,[],[f132390,f926]) ).
fof(f926,plain,
( ~ equalish(additive_identity,a)
| spl0_90 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f924,plain,
( spl0_90
<=> equalish(additive_identity,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f132390,plain,
( equalish(additive_identity,a)
| ~ spl0_2964 ),
inference(resolution,[],[f32089,f896]) ).
fof(f896,plain,
! [X0] :
( ~ equalish(add(a,additive_inverse(a)),X0)
| equalish(additive_identity,X0) ),
inference(resolution,[],[f58,f28]) ).
fof(f58,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(additive_identity,X1)
| ~ equalish(add(X0,additive_inverse(X0)),X1) ),
inference(resolution,[],[f23,f35]) ).
fof(f35,plain,
! [X0] :
( equalish(additive_identity,add(X0,additive_inverse(X0)))
| ~ defined(X0) ),
inference(resolution,[],[f3,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
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(f32089,plain,
( equalish(add(a,additive_inverse(a)),a)
| ~ spl0_2964 ),
inference(avatar_component_clause,[],[f32087]) ).
fof(f32087,plain,
( spl0_2964
<=> equalish(add(a,additive_inverse(a)),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2964])]) ).
fof(f32113,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f6874,f110,f68,f44]) ).
fof(f44,plain,
( spl0_1
<=> equalish(additive_inverse(a),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f110,plain,
( spl0_8
<=> equalish(add(additive_identity,additive_inverse(a)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f6874,plain,
( equalish(additive_inverse(a),additive_identity)
| ~ spl0_3
| ~ spl0_8 ),
inference(resolution,[],[f575,f112]) ).
fof(f112,plain,
( equalish(add(additive_identity,additive_inverse(a)),additive_identity)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f575,plain,
( ! [X0] :
( ~ equalish(add(additive_identity,additive_inverse(a)),X0)
| equalish(additive_inverse(a),X0) )
| ~ spl0_3 ),
inference(resolution,[],[f57,f69]) ).
fof(f57,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(X0,X1)
| ~ equalish(add(additive_identity,X0),X1) ),
inference(resolution,[],[f23,f32]) ).
fof(f32,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/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f32090,plain,
( ~ spl0_1
| spl0_2964
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f20385,f68,f32087,f44]) ).
fof(f20385,plain,
( equalish(add(a,additive_inverse(a)),a)
| ~ equalish(additive_inverse(a),additive_identity)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f20362,f28]) ).
fof(f20362,plain,
( ~ defined(a)
| equalish(add(a,additive_inverse(a)),a)
| ~ equalish(additive_inverse(a),additive_identity)
| ~ spl0_3 ),
inference(resolution,[],[f337,f1239]) ).
fof(f1239,plain,
! [X0] :
( equalish(add(X0,a),a)
| ~ equalish(X0,additive_identity) ),
inference(subsumption_resolution,[],[f1224,f28]) ).
fof(f1224,plain,
! [X0] :
( ~ equalish(X0,additive_identity)
| equalish(add(X0,a),a)
| ~ defined(a) ),
inference(resolution,[],[f397,f2]) ).
fof(f397,plain,
! [X2,X0,X1] :
( ~ equalish(add(X1,a),X2)
| ~ equalish(X0,X1)
| equalish(add(X0,a),X2) ),
inference(resolution,[],[f182,f28]) ).
fof(f182,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(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X2),add(X1,X2))
| ~ equalish(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f337,plain,
( ! [X0,X1] :
( ~ equalish(add(additive_inverse(a),X0),X1)
| ~ defined(X0)
| equalish(add(X0,additive_inverse(a)),X1) )
| ~ spl0_3 ),
inference(resolution,[],[f101,f69]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| ~ equalish(add(X1,X0),X2)
| equalish(add(X0,X1),X2) ),
inference(resolution,[],[f4,f23]) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f32070,plain,
( ~ spl0_90
| spl0_183 ),
inference(avatar_contradiction_clause,[],[f32069]) ).
fof(f32069,plain,
( $false
| ~ spl0_90
| spl0_183 ),
inference(subsumption_resolution,[],[f32053,f1999]) ).
fof(f1999,plain,
( ~ equalish(a,additive_identity)
| spl0_183 ),
inference(avatar_component_clause,[],[f1998]) ).
fof(f1998,plain,
( spl0_183
<=> equalish(a,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f32053,plain,
( equalish(a,additive_identity)
| ~ spl0_90 ),
inference(resolution,[],[f925,f22]) ).
fof(f925,plain,
( equalish(additive_identity,a)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f2049,plain,
~ spl0_183,
inference(avatar_contradiction_clause,[],[f2048]) ).
fof(f2048,plain,
( $false
| ~ spl0_183 ),
inference(subsumption_resolution,[],[f2044,f30]) ).
fof(f2044,plain,
( less_or_equal(additive_identity,a)
| ~ spl0_183 ),
inference(resolution,[],[f2000,f195]) ).
fof(f195,plain,
! [X0] :
( ~ equalish(a,X0)
| less_or_equal(X0,a) ),
inference(resolution,[],[f144,f26]) ).
fof(f144,plain,
less_or_equal(a,a),
inference(duplicate_literal_removal,[],[f143]) ).
fof(f143,plain,
( less_or_equal(a,a)
| less_or_equal(a,a) ),
inference(resolution,[],[f99,f28]) ).
fof(f2000,plain,
( equalish(a,additive_identity)
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1998]) ).
fof(f117,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f108,f72,f114,f110]) ).
fof(f72,plain,
( spl0_4
<=> less_or_equal(add(additive_identity,additive_inverse(a)),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f108,plain,
( ~ less_or_equal(additive_identity,add(additive_identity,additive_inverse(a)))
| equalish(add(additive_identity,additive_inverse(a)),additive_identity)
| ~ spl0_4 ),
inference(resolution,[],[f74,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(f74,plain,
( less_or_equal(add(additive_identity,additive_inverse(a)),additive_identity)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f92,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f91]) ).
fof(f91,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f90,f28]) ).
fof(f90,plain,
( ~ defined(a)
| spl0_3 ),
inference(resolution,[],[f70,f12]) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f70,plain,
( ~ defined(additive_inverse(a))
| spl0_3 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f75,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f64,f72,f68]) ).
fof(f64,plain,
( less_or_equal(add(additive_identity,additive_inverse(a)),additive_identity)
| ~ defined(additive_inverse(a)) ),
inference(resolution,[],[f62,f32]) ).
fof(f62,plain,
! [X0] :
( ~ equalish(additive_inverse(a),X0)
| less_or_equal(X0,additive_identity) ),
inference(resolution,[],[f26,f29]) ).
fof(f29,axiom,
less_or_equal(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : FLD065-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n007.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 03:16:17 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (1110)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (1115)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (1117)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)
% 0.22/0.38 % (1114)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (1111)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (1113)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)
% 0.22/0.38 % (1116)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (1112)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [5]
% 0.22/0.45 TRYING [5]
% 0.22/0.50 TRYING [6]
% 0.22/0.52 TRYING [6]
% 0.22/0.53 TRYING [6]
% 0.22/0.57 TRYING [6]
% 0.22/0.75 TRYING [7]
% 0.22/0.75 TRYING [7]
% 0.22/0.79 TRYING [7]
% 3.96/0.96 TRYING [7]
% 6.50/1.37 TRYING [8]
% 7.35/1.44 TRYING [8]
% 7.61/1.45 TRYING [8]
% 11.30/1.99 TRYING [8]
% 13.89/2.42 TRYING [9]
% 15.46/2.57 TRYING [9]
% 15.46/2.58 TRYING [9]
% 25.01/3.97 TRYING [9]
% 26.98/4.23 TRYING [10]
% 27.76/4.35 TRYING [10]
% 29.35/4.59 TRYING [10]
% 41.47/6.30 % (1116)First to succeed.
% 41.67/6.34 % (1116)Refutation found. Thanks to Tanya!
% 41.67/6.34 % SZS status Unsatisfiable for theBenchmark
% 41.67/6.34 % SZS output start Proof for theBenchmark
% See solution above
% 41.67/6.34 % (1116)------------------------------
% 41.67/6.34 % (1116)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 41.67/6.34 % (1116)Termination reason: Refutation
% 41.67/6.34
% 41.67/6.34 % (1116)Memory used [KB]: 48551
% 41.67/6.34 % (1116)Time elapsed: 5.932 s
% 41.67/6.34 % (1116)Instructions burned: 11396 (million)
% 41.67/6.34 % (1116)------------------------------
% 41.67/6.34 % (1116)------------------------------
% 41.67/6.34 % (1110)Success in time 5.922 s
%------------------------------------------------------------------------------