TSTP Solution File: CAT005-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CAT005-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Sun May 5 04:43:44 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 44 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 15 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f67,f93,f95]) ).
fof(f95,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f94]) ).
fof(f94,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f86,f21]) ).
fof(f21,axiom,
d != domain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).
fof(f86,plain,
( d = domain(a)
| ~ spl0_2 ),
inference(superposition,[],[f54,f51]) ).
fof(f51,plain,
( d = codomain(d)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_2
<=> d = codomain(d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f54,plain,
domain(a) = codomain(d),
inference(resolution,[],[f7,f18]) ).
fof(f18,axiom,
there_exists(compose(a,d)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ad_exists) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f93,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f92,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f85,f21]) ).
fof(f85,plain,
( d = domain(a)
| ~ spl0_2 ),
inference(superposition,[],[f51,f54]) ).
fof(f67,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f66,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f65,f47]) ).
fof(f47,plain,
( ~ there_exists(d)
| spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_1
<=> there_exists(d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f65,plain,
there_exists(d),
inference(subsumption_resolution,[],[f64,f25]) ).
fof(f25,plain,
there_exists(domain(a)),
inference(resolution,[],[f6,f18]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_implies_domain) ).
fof(f64,plain,
( ~ there_exists(domain(a))
| there_exists(d) ),
inference(superposition,[],[f5,f54]) ).
fof(f5,axiom,
! [X0] :
( ~ there_exists(codomain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_has_elements) ).
fof(f52,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f39,f49,f45]) ).
fof(f39,plain,
( d = codomain(d)
| ~ there_exists(d) ),
inference(forward_demodulation,[],[f38,f11]) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_codomain) ).
fof(f38,plain,
( ~ there_exists(d)
| codomain(d) = compose(codomain(d),d) ),
inference(superposition,[],[f19,f11]) ).
fof(f19,axiom,
! [X0] :
( ~ there_exists(compose(X0,d))
| compose(X0,d) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xd_equals_x) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT005-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:11:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (7481)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (7484)WARNING: value z3 for option sas not known
% 0.14/0.36 % (7484)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (7484)First to succeed.
% 0.14/0.37 % (7484)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7481"
% 0.14/0.37 % (7484)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (7484)------------------------------
% 0.14/0.37 % (7484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (7484)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (7484)Memory used [KB]: 801
% 0.14/0.37 % (7484)Time elapsed: 0.005 s
% 0.14/0.37 % (7484)Instructions burned: 6 (million)
% 0.14/0.37 % (7481)Success in time 0.015 s
%------------------------------------------------------------------------------