TSTP Solution File: FLD010-3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n014.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 : Wed Aug 31 16:05:24 EDT 2022
% Result : Unsatisfiable 0.12s 0.38s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,plain,
$false,
inference(avatar_sat_refutation,[],[f48,f50,f52]) ).
fof(f52,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f51,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f47,f27]) ).
fof(f27,axiom,
~ sum(additive_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_1) ).
fof(f47,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_2
<=> sum(additive_identity,multiplicative_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f50,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f49]) ).
fof(f49,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f43,f17]) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f43,plain,
( ~ defined(multiplicative_identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_1
<=> defined(multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f48,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f39,f45,f41]) ).
fof(f39,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f9,f32]) ).
fof(f32,plain,
~ product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity),
inference(resolution,[],[f10,f28]) ).
fof(f28,axiom,
~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_2) ).
fof(f10,axiom,
! [X3,X0,X5] :
( product(X3,X0,X5)
| ~ product(X0,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.07/0.27 % Computer : n014.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Mon Aug 29 20:34:48 EDT 2022
% 0.07/0.28 % CPUTime :
% 0.12/0.36 % (16733)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.37 % (16725)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.12/0.37 % (16733)Instruction limit reached!
% 0.12/0.37 % (16733)------------------------------
% 0.12/0.37 % (16733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.12/0.37 % (16725)First to succeed.
% 0.12/0.37 % (16733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.12/0.37 % (16733)Termination reason: Unknown
% 0.12/0.37 % (16733)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (16733)Memory used [KB]: 5884
% 0.12/0.37 % (16733)Time elapsed: 0.046 s
% 0.12/0.37 % (16733)Instructions burned: 3 (million)
% 0.12/0.37 % (16733)------------------------------
% 0.12/0.37 % (16733)------------------------------
% 0.12/0.38 % (16725)Refutation found. Thanks to Tanya!
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.38 % (16725)------------------------------
% 0.12/0.38 % (16725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.12/0.38 % (16725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.12/0.38 % (16725)Termination reason: Refutation
% 0.12/0.38
% 0.12/0.38 % (16725)Memory used [KB]: 5884
% 0.12/0.38 % (16725)Time elapsed: 0.048 s
% 0.12/0.38 % (16725)Instructions burned: 2 (million)
% 0.12/0.38 % (16725)------------------------------
% 0.12/0.38 % (16725)------------------------------
% 0.12/0.38 % (16719)Success in time 0.093 s
%------------------------------------------------------------------------------