TSTP Solution File: FLD015-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD015-3 : 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 05:07:53 EDT 2024
% Result : Unsatisfiable 0.15s 0.44s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 47 ( 10 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 119 ( 60 ~; 52 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4587,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f100,f1529,f1546,f4566,f4586]) ).
fof(f4586,plain,
spl9_55,
inference(avatar_contradiction_clause,[],[f4585]) ).
fof(f4585,plain,
( $false
| spl9_55 ),
inference(resolution,[],[f4568,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f4568,plain,
( ~ defined(additive_identity)
| spl9_55 ),
inference(resolution,[],[f4565,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4565,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| spl9_55 ),
inference(avatar_component_clause,[],[f4563]) ).
fof(f4563,plain,
( spl9_55
<=> sum(additive_identity,additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_55])]) ).
fof(f4566,plain,
( ~ spl9_6
| ~ spl9_55
| spl9_31 ),
inference(avatar_split_clause,[],[f4550,f1543,f4563,f89]) ).
fof(f89,plain,
( spl9_6
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f1543,plain,
( spl9_31
<=> sum(a,additive_inverse(b),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_31])]) ).
fof(f4550,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ defined(a)
| spl9_31 ),
inference(resolution,[],[f1780,f4]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f1780,plain,
( ! [X0] :
( ~ sum(additive_inverse(a),a,X0)
| ~ sum(additive_identity,X0,additive_identity) )
| spl9_31 ),
inference(resolution,[],[f306,f1551]) ).
fof(f1551,plain,
( ~ sum(additive_inverse(b),a,additive_identity)
| spl9_31 ),
inference(resolution,[],[f1545,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( sum(X3,X0,X5)
| ~ sum(X0,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f1545,plain,
( ~ sum(a,additive_inverse(b),additive_identity)
| spl9_31 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f306,plain,
! [X2,X0,X1] :
( sum(additive_inverse(b),X0,X2)
| ~ sum(additive_inverse(a),X0,X1)
| ~ sum(additive_identity,X1,X2) ),
inference(resolution,[],[f176,f39]) ).
fof(f39,plain,
! [X2,X0,X1,X4,X5] :
( sP4(X5,X4,X0,X1)
| sum(X4,X5,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f39_D]) ).
fof(f39_D,plain,
! [X1,X0,X4,X5] :
( ! [X2] :
( sum(X4,X5,X2)
| ~ sum(X0,X1,X2) )
<=> ~ sP4(X5,X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f176,plain,
! [X0,X1] :
( ~ sP4(X0,additive_inverse(b),additive_identity,X1)
| ~ sum(additive_inverse(a),X0,X1) ),
inference(resolution,[],[f40,f29]) ).
fof(f29,axiom,
sum(additive_identity,additive_inverse(a),additive_inverse(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).
fof(f40,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP4(X5,X4,X0,X1) ),
inference(general_splitting,[],[f2,f39_D]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f1546,plain,
( ~ spl9_5
| ~ spl9_31
| ~ spl9_30 ),
inference(avatar_split_clause,[],[f1536,f1527,f1543,f85]) ).
fof(f85,plain,
( spl9_5
<=> defined(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f1527,plain,
( spl9_30
<=> ! [X0] :
( ~ sum(a,X0,additive_identity)
| ~ sum(X0,b,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_30])]) ).
fof(f1536,plain,
( ~ sum(a,additive_inverse(b),additive_identity)
| ~ defined(b)
| ~ spl9_30 ),
inference(resolution,[],[f1528,f4]) ).
fof(f1528,plain,
( ! [X0] :
( ~ sum(a,X0,additive_identity)
| ~ sum(X0,b,additive_identity) )
| ~ spl9_30 ),
inference(avatar_component_clause,[],[f1527]) ).
fof(f1529,plain,
( ~ spl9_5
| spl9_30 ),
inference(avatar_split_clause,[],[f1264,f1527,f85]) ).
fof(f1264,plain,
! [X0] :
( ~ sum(a,X0,additive_identity)
| ~ sum(X0,b,additive_identity)
| ~ defined(b) ),
inference(resolution,[],[f827,f3]) ).
fof(f827,plain,
! [X2,X0,X1] :
( ~ sum(a,X0,X1)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X1,X2,b) ),
inference(resolution,[],[f162,f49]) ).
fof(f49,plain,
~ sum(a,additive_identity,b),
inference(resolution,[],[f5,f30]) ).
fof(f30,axiom,
~ sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).
fof(f162,plain,
! [X2,X3,X0,X1,X4,X5] :
( sum(X3,X2,X5)
| ~ sum(X3,X0,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X4,X1,X5) ),
inference(resolution,[],[f38,f37]) ).
fof(f37,plain,
! [X2,X0,X1,X4,X5] :
( sP3(X4,X0,X5,X1)
| sum(X0,X1,X2)
| ~ sum(X4,X5,X2) ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( sum(X0,X1,X2)
| ~ sum(X4,X5,X2) )
<=> ~ sP3(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f38,plain,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sP3(X4,X0,X5,X1) ),
inference(general_splitting,[],[f1,f37_D]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f100,plain,
spl9_6,
inference(avatar_contradiction_clause,[],[f99]) ).
fof(f99,plain,
( $false
| spl9_6 ),
inference(resolution,[],[f91,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f91,plain,
( ~ defined(a)
| spl9_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f98,plain,
spl9_5,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f97,plain,
( $false
| spl9_5 ),
inference(resolution,[],[f87,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f87,plain,
( ~ defined(b)
| spl9_5 ),
inference(avatar_component_clause,[],[f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : FLD015-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 19:45:23 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (3041)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (3048)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33 % (3046)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33 % (3049)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)
% 0.15/0.33 % (3043)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33 % (3044)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33 % (3045)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)
% 0.15/0.33 % (3047)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [4]
% 0.15/0.37 TRYING [5]
% 0.15/0.37 TRYING [5]
% 0.15/0.37 TRYING [5]
% 0.15/0.37 TRYING [5]
% 0.15/0.44 % (3045)First to succeed.
% 0.15/0.44 TRYING [6]
% 0.15/0.44 % (3045)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3041"
% 0.15/0.44 % (3045)Refutation found. Thanks to Tanya!
% 0.15/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.44 % (3045)------------------------------
% 0.15/0.44 % (3045)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.44 % (3045)Termination reason: Refutation
% 0.15/0.44
% 0.15/0.44 % (3045)Memory used [KB]: 2560
% 0.15/0.44 % (3045)Time elapsed: 0.115 s
% 0.15/0.44 % (3045)Instructions burned: 236 (million)
% 0.15/0.44 % (3041)Success in time 0.126 s
%------------------------------------------------------------------------------