TSTP Solution File: FLD010-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD010-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n022.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 16:06:35 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 24 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(avatar_sat_refutation,[],[f146,f155,f168]) ).
fof(f168,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f167,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f164,f28]) ).
fof(f28,axiom,
~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inv_not_equal_to_multiplicative_id_2) ).
fof(f164,plain,
( equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity)
| ~ spl0_6 ),
inference(resolution,[],[f141,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f141,plain,
( equalish(multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl0_6
<=> equalish(multiplicative_identity,multiplicative_inverse(multiplicative_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f155,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f154,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f153,f27]) ).
fof(f27,axiom,
~ equalish(additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_identities) ).
fof(f153,plain,
( equalish(additive_identity,multiplicative_identity)
| ~ spl0_7 ),
inference(resolution,[],[f145,f22]) ).
fof(f145,plain,
( equalish(multiplicative_identity,additive_identity)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl0_7
<=> equalish(multiplicative_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f146,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f137,f143,f139]) ).
fof(f137,plain,
( equalish(multiplicative_identity,additive_identity)
| equalish(multiplicative_identity,multiplicative_inverse(multiplicative_identity)) ),
inference(subsumption_resolution,[],[f136,f14]) ).
fof(f14,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f136,plain,
( equalish(multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| equalish(multiplicative_identity,additive_identity)
| ~ defined(multiplicative_identity) ),
inference(subsumption_resolution,[],[f132,f37]) ).
fof(f37,plain,
defined(multiplicative_inverse(multiplicative_identity)),
inference(subsumption_resolution,[],[f35,f14]) ).
fof(f35,plain,
( defined(multiplicative_inverse(multiplicative_identity))
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f31,f27]) ).
fof(f31,plain,
! [X0] :
( equalish(additive_identity,X0)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
inference(resolution,[],[f15,f22]) ).
fof(f15,axiom,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f132,plain,
( ~ defined(multiplicative_inverse(multiplicative_identity))
| equalish(multiplicative_identity,additive_identity)
| equalish(multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f46,f41]) ).
fof(f41,plain,
! [X6,X7] :
( ~ equalish(X6,multiply(multiplicative_identity,X7))
| ~ defined(X7)
| equalish(X6,X7) ),
inference(resolution,[],[f23,f6]) ).
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| equalish(X0,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f46,plain,
! [X2] :
( equalish(multiplicative_identity,multiply(X2,multiplicative_inverse(X2)))
| ~ defined(X2)
| equalish(X2,additive_identity) ),
inference(resolution,[],[f7,f22]) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| equalish(X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : FLD010-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 20:35:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (29349)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (29362)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.49 % (29349)Instruction limit reached!
% 0.19/0.49 % (29349)------------------------------
% 0.19/0.49 % (29349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (29349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (29349)Termination reason: Unknown
% 0.19/0.49 % (29349)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (29349)Memory used [KB]: 5500
% 0.19/0.49 % (29349)Time elapsed: 0.090 s
% 0.19/0.49 % (29349)Instructions burned: 8 (million)
% 0.19/0.49 % (29349)------------------------------
% 0.19/0.49 % (29349)------------------------------
% 0.19/0.50 % (29362)First to succeed.
% 0.19/0.50 % (29348)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (29362)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (29362)------------------------------
% 0.19/0.50 % (29362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (29362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (29362)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (29362)Memory used [KB]: 5500
% 0.19/0.50 % (29362)Time elapsed: 0.100 s
% 0.19/0.50 % (29362)Instructions burned: 5 (million)
% 0.19/0.50 % (29362)------------------------------
% 0.19/0.50 % (29362)------------------------------
% 0.19/0.50 % (29341)Success in time 0.16 s
%------------------------------------------------------------------------------