TSTP Solution File: CAT011-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CAT011-3 : 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_sat --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 15:51:17 EDT 2022
% Result : Unsatisfiable 0.37s 0.66s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 17 unt; 0 def)
% Number of atoms : 27 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f82,plain,
$false,
inference(subsumption_resolution,[],[f81,f24]) ).
fof(f24,plain,
sF1 != sF0,
inference(definition_folding,[],[f19,f23,f22,f22]) ).
fof(f22,plain,
domain(a) = sF0,
introduced(function_definition,[]) ).
fof(f23,plain,
domain(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f19,axiom,
domain(a) != domain(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).
fof(f81,plain,
sF1 = sF0,
inference(forward_demodulation,[],[f80,f59]) ).
fof(f59,plain,
codomain(sF0) = sF0,
inference(forward_demodulation,[],[f58,f22]) ).
fof(f58,plain,
domain(a) = codomain(sF0),
inference(subsumption_resolution,[],[f54,f29]) ).
fof(f29,plain,
there_exists(a),
inference(subsumption_resolution,[],[f27,f26]) ).
fof(f26,plain,
there_exists(sF0),
inference(forward_demodulation,[],[f18,f22]) ).
fof(f18,axiom,
there_exists(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_domain_exists) ).
fof(f27,plain,
( there_exists(a)
| ~ there_exists(sF0) ),
inference(superposition,[],[f4,f22]) ).
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_has_elements) ).
fof(f54,plain,
( ~ there_exists(a)
| domain(a) = codomain(sF0) ),
inference(superposition,[],[f7,f33]) ).
fof(f33,plain,
a = compose(a,sF0),
inference(superposition,[],[f10,f22]) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_domain) ).
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(f80,plain,
codomain(sF0) = sF1,
inference(forward_demodulation,[],[f79,f23]) ).
fof(f79,plain,
codomain(sF0) = domain(sF0),
inference(subsumption_resolution,[],[f76,f26]) ).
fof(f76,plain,
( ~ there_exists(sF0)
| codomain(sF0) = domain(sF0) ),
inference(superposition,[],[f7,f66]) ).
fof(f66,plain,
compose(sF0,sF0) = sF0,
inference(superposition,[],[f11,f59]) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_codomain) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT011-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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 16:18:37 EDT 2022
% 0.13/0.34 % CPUTime :
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% 0.37/0.64 % (7409)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.37/0.64 % (7412)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.37/0.64 % (7433)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 0.37/0.65 % (7428)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/176Mi)
% 0.37/0.65 % (7425)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 0.37/0.65 TRYING [1]
% 0.37/0.65 TRYING [2]
% 0.37/0.65 TRYING [3]
% 0.37/0.66 % (7417)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.37/0.66 % (7433)First to succeed.
% 0.37/0.66 % (7433)Refutation found. Thanks to Tanya!
% 0.37/0.66 % SZS status Unsatisfiable for theBenchmark
% 0.37/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.66 % (7433)------------------------------
% 0.37/0.66 % (7433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.37/0.66 % (7433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.37/0.66 % (7433)Termination reason: Refutation
% 0.37/0.66
% 0.37/0.66 % (7433)Memory used [KB]: 5373
% 0.37/0.66 % (7433)Time elapsed: 0.090 s
% 0.37/0.66 % (7433)Instructions burned: 3 (million)
% 0.37/0.66 % (7433)------------------------------
% 0.37/0.66 % (7433)------------------------------
% 0.37/0.66 % (7259)Success in time 0.313 s
%------------------------------------------------------------------------------