TSTP Solution File: CAT013-3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CAT013-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : 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 15:50:43 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 29 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 9 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,plain,
$false,
inference(unit_resulting_resolution,[],[f42,f45,f62,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ there_exists(X0)
| ~ sQ0_eqProxy(X0,X1)
| equivalent(X0,X1) ),
inference(equality_proxy_replacement,[],[f3,f20]) ).
fof(f20,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f3,axiom,
! [X0,X1] :
( X0 != X1
| ~ there_exists(X0)
| equivalent(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_and_equality_implies_equivalence1) ).
fof(f62,plain,
! [X0] : ~ equivalent(X0,compose(codomain(a),a)),
inference(unit_resulting_resolution,[],[f61,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( there_exists(X1)
| ~ equivalent(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence_implies_existence3) ).
fof(f61,plain,
~ there_exists(compose(codomain(a),a)),
inference(unit_resulting_resolution,[],[f47,f32]) ).
fof(f32,plain,
! [X0,X1] :
( sQ0_eqProxy(domain(X0),codomain(X1))
| ~ there_exists(compose(X0,X1)) ),
inference(equality_proxy_replacement,[],[f7,f20]) ).
fof(f7,axiom,
! [X0,X1] :
( domain(X0) = codomain(X1)
| ~ there_exists(compose(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f47,plain,
~ sQ0_eqProxy(domain(codomain(a)),codomain(a)),
inference(unit_resulting_resolution,[],[f27,f40]) ).
fof(f40,plain,
! [X0,X1] :
( sQ0_eqProxy(X1,X0)
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f20]) ).
fof(f27,plain,
~ sQ0_eqProxy(codomain(a),domain(codomain(a))),
inference(equality_proxy_replacement,[],[f19,f20]) ).
fof(f19,axiom,
codomain(a) != domain(codomain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_codomain_is_codomain) ).
fof(f45,plain,
! [X0] : sQ0_eqProxy(X0,compose(codomain(X0),X0)),
inference(unit_resulting_resolution,[],[f22,f40]) ).
fof(f22,plain,
! [X0] : sQ0_eqProxy(compose(codomain(X0),X0),X0),
inference(equality_proxy_replacement,[],[f11,f20]) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_codomain) ).
fof(f42,plain,
there_exists(a),
inference(unit_resulting_resolution,[],[f18,f5]) ).
fof(f5,axiom,
! [X0] :
( ~ there_exists(codomain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_has_elements) ).
fof(f18,axiom,
there_exists(codomain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_codomain_exists) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : CAT013-3 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 16:20:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.49 % (18177)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.49 % (18159)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.49 % (18159)First to succeed.
% 0.20/0.50 % (18159)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (18159)------------------------------
% 0.20/0.50 % (18159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (18159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (18159)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (18159)Memory used [KB]: 5884
% 0.20/0.50 % (18159)Time elapsed: 0.094 s
% 0.20/0.50 % (18159)Instructions burned: 3 (million)
% 0.20/0.50 % (18159)------------------------------
% 0.20/0.50 % (18159)------------------------------
% 0.20/0.50 % (18148)Success in time 0.154 s
%------------------------------------------------------------------------------