TSTP Solution File: FLD064-3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD064-3 : 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_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 16:06:59 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 33 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140,plain,
$false,
inference(subsumption_resolution,[],[f139,f31]) ).
fof(f31,plain,
~ less_or_equal(sF0,additive_identity),
inference(definition_folding,[],[f29,f30]) ).
fof(f30,plain,
additive_inverse(a) = sF0,
introduced(function_definition,[]) ).
fof(f29,axiom,
~ less_or_equal(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_3) ).
fof(f139,plain,
less_or_equal(sF0,additive_identity),
inference(subsumption_resolution,[],[f134,f33]) ).
fof(f33,plain,
defined(sF0),
inference(subsumption_resolution,[],[f32,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f32,plain,
( defined(sF0)
| ~ defined(a) ),
inference(superposition,[],[f15,f30]) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f134,plain,
( ~ defined(sF0)
| less_or_equal(sF0,additive_identity) ),
inference(resolution,[],[f106,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f106,plain,
! [X5] :
( ~ sum(additive_identity,sF0,X5)
| less_or_equal(X5,additive_identity) ),
inference(resolution,[],[f60,f38]) ).
fof(f38,plain,
sum(a,sF0,additive_identity),
inference(resolution,[],[f5,f35]) ).
fof(f35,plain,
sum(sF0,a,additive_identity),
inference(subsumption_resolution,[],[f34,f27]) ).
fof(f34,plain,
( ~ defined(a)
| sum(sF0,a,additive_identity) ),
inference(superposition,[],[f4,f30]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ sum(a,X0,X1)
| less_or_equal(X2,X1)
| ~ sum(additive_identity,X0,X2) ),
inference(resolution,[],[f24,f28]) ).
fof(f28,axiom,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_2) ).
fof(f24,axiom,
! [X3,X0,X1,X4,X5] :
( ~ less_or_equal(X0,X3)
| ~ sum(X3,X5,X1)
| less_or_equal(X4,X1)
| ~ sum(X0,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD064-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 20:45:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (2501)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.48 % (2509)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.49 % (2501)First to succeed.
% 0.18/0.51 % (2501)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (2501)------------------------------
% 0.18/0.51 % (2501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (2501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (2501)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (2501)Memory used [KB]: 1023
% 0.18/0.51 % (2501)Time elapsed: 0.080 s
% 0.18/0.51 % (2501)Instructions burned: 10 (million)
% 0.18/0.51 % (2501)------------------------------
% 0.18/0.51 % (2501)------------------------------
% 0.18/0.51 % (2485)Success in time 0.162 s
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