TSTP Solution File: FLD031-3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD031-3 : 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 : 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 : Wed Aug 31 16:05:35 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115,plain,
$false,
inference(subsumption_resolution,[],[f114,f30]) ).
fof(f30,axiom,
~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_4) ).
fof(f114,plain,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
inference(resolution,[],[f83,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f83,plain,
product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity),
inference(resolution,[],[f75,f34]) ).
fof(f34,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference(subsumption_resolution,[],[f33,f29]) ).
fof(f29,axiom,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
fof(f33,plain,
( sum(additive_identity,a,additive_identity)
| product(multiplicative_inverse(a),a,multiplicative_identity) ),
inference(resolution,[],[f27,f9]) ).
fof(f9,axiom,
! [X0] :
( ~ defined(X0)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f75,plain,
! [X0] :
( ~ product(X0,a,multiplicative_identity)
| product(X0,multiplicative_identity,multiplicative_identity) ),
inference(resolution,[],[f74,f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ product(X2,a,X1)
| ~ product(X0,X2,multiplicative_identity)
| product(X0,X1,multiplicative_identity) ),
inference(resolution,[],[f28,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f28,axiom,
product(multiplicative_identity,a,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_2) ).
fof(f74,plain,
product(a,a,multiplicative_identity),
inference(resolution,[],[f73,f39]) ).
fof(f39,plain,
product(a,multiplicative_identity,multiplicative_identity),
inference(resolution,[],[f28,f10]) ).
fof(f73,plain,
! [X2] :
( ~ product(X2,multiplicative_identity,multiplicative_identity)
| product(X2,a,multiplicative_identity) ),
inference(resolution,[],[f35,f32]) ).
fof(f32,plain,
product(multiplicative_identity,a,a),
inference(resolution,[],[f27,f8]) ).
fof(f8,axiom,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : FLD031-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 20:37:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (29601)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.48 % (29625)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.49 % (29625)First to succeed.
% 0.19/0.50 % (29625)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 % (29625)------------------------------
% 0.19/0.50 % (29625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (29625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (29625)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (29625)Memory used [KB]: 1407
% 0.19/0.50 % (29625)Time elapsed: 0.087 s
% 0.19/0.50 % (29625)Instructions burned: 8 (million)
% 0.19/0.50 % (29625)------------------------------
% 0.19/0.50 % (29625)------------------------------
% 0.19/0.50 % (29597)Success in time 0.15 s
%------------------------------------------------------------------------------