TSTP Solution File: CAT011-4 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CAT011-4 : 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 : n027.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 1.66s 0.58s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 27 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 18 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,plain,
$false,
inference(subsumption_resolution,[],[f51,f18]) ).
fof(f18,plain,
there_exists(a),
inference(resolution,[],[f12,f4]) ).
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_has_elements) ).
fof(f12,axiom,
there_exists(domain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_domain_exists) ).
fof(f51,plain,
~ there_exists(a),
inference(subsumption_resolution,[],[f50,f12]) ).
fof(f50,plain,
( ~ there_exists(domain(a))
| ~ there_exists(a) ),
inference(superposition,[],[f49,f10]) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_domain) ).
fof(f49,plain,
! [X0] :
( ~ there_exists(compose(a,X0))
| ~ there_exists(X0) ),
inference(subsumption_resolution,[],[f47,f17]) ).
fof(f17,plain,
! [X0] :
( ~ there_exists(compose(a,X0))
| sP0(codomain(X0)) ),
inference(superposition,[],[f15,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( domain(X0) = codomain(X1)
| ~ there_exists(compose(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f15,plain,
sP0(domain(a)),
inference(inequality_splitting,[],[f13,f14]) ).
fof(f14,plain,
~ sP0(domain(domain(a))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f13,axiom,
domain(a) != domain(domain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).
fof(f47,plain,
! [X0] :
( ~ there_exists(compose(a,X0))
| ~ there_exists(X0)
| ~ sP0(codomain(X0)) ),
inference(superposition,[],[f29,f11]) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_codomain) ).
fof(f29,plain,
! [X0,X1] :
( ~ there_exists(compose(codomain(X0),X1))
| ~ there_exists(compose(a,X0))
| ~ sP0(codomain(X1)) ),
inference(superposition,[],[f20,f7]) ).
fof(f20,plain,
! [X0] :
( ~ sP0(domain(codomain(X0)))
| ~ there_exists(compose(a,X0)) ),
inference(superposition,[],[f14,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CAT011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % 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 : n027.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 16:33:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.56 % (5896)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.66/0.57 % (5897)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.66/0.57 % (5898)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)
% 1.66/0.57 % (5897)First to succeed.
% 1.66/0.58 % (5914)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.66/0.58 % (5889)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.66/0.58 % (5889)Refutation not found, incomplete strategy% (5889)------------------------------
% 1.66/0.58 % (5889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58 % (5914)Refutation not found, incomplete strategy% (5914)------------------------------
% 1.66/0.58 % (5914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58 % (5906)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.66/0.58 % (5914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58 % (5914)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.58
% 1.66/0.58 % (5914)Memory used [KB]: 5756
% 1.66/0.58 % (5914)Time elapsed: 0.158 s
% 1.66/0.58 % (5914)Instructions burned: 2 (million)
% 1.66/0.58 % (5914)------------------------------
% 1.66/0.58 % (5914)------------------------------
% 1.66/0.58 % (5897)Refutation found. Thanks to Tanya!
% 1.66/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.66/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.58 % (5897)------------------------------
% 1.66/0.58 % (5897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58 % (5897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58 % (5897)Termination reason: Refutation
% 1.66/0.58
% 1.66/0.58 % (5897)Memory used [KB]: 5756
% 1.66/0.58 % (5897)Time elapsed: 0.147 s
% 1.66/0.58 % (5897)Instructions burned: 3 (million)
% 1.66/0.58 % (5897)------------------------------
% 1.66/0.58 % (5897)------------------------------
% 1.66/0.58 % (5887)Success in time 0.229 s
%------------------------------------------------------------------------------