TSTP Solution File: CAT006-3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CAT006-3 : 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 : 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 15:50:40 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 25 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f74,plain,
$false,
inference(subsumption_resolution,[],[f73,f21]) ).
fof(f21,axiom,
d != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_a_is_d) ).
fof(f73,plain,
d = codomain(a),
inference(forward_demodulation,[],[f72,f41]) ).
fof(f41,plain,
d = domain(d),
inference(resolution,[],[f39,f33]) ).
fof(f33,plain,
( ~ there_exists(d)
| d = domain(d) ),
inference(superposition,[],[f20,f10]) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_domain) ).
fof(f20,axiom,
! [X0] :
( ~ there_exists(compose(d,X0))
| compose(d,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dx_equals_x) ).
fof(f39,plain,
there_exists(d),
inference(resolution,[],[f38,f4]) ).
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_has_elements) ).
fof(f38,plain,
there_exists(domain(d)),
inference(subsumption_resolution,[],[f35,f26]) ).
fof(f26,plain,
there_exists(a),
inference(backward_demodulation,[],[f18,f25]) ).
fof(f25,plain,
a = compose(d,a),
inference(resolution,[],[f20,f18]) ).
fof(f18,axiom,
there_exists(compose(d,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',da_exists) ).
fof(f35,plain,
( ~ there_exists(a)
| there_exists(domain(d)) ),
inference(superposition,[],[f6,f25]) ).
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(f72,plain,
codomain(a) = domain(d),
inference(subsumption_resolution,[],[f68,f26]) ).
fof(f68,plain,
( codomain(a) = domain(d)
| ~ there_exists(a) ),
inference(superposition,[],[f7,f25]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT006-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 16:17:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52 % (1185)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (1185)Instruction limit reached!
% 0.19/0.52 % (1185)------------------------------
% 0.19/0.52 % (1185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1185)Termination reason: Unknown
% 0.19/0.53 % (1185)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (1185)Memory used [KB]: 1279
% 0.19/0.53 % (1185)Time elapsed: 0.005 s
% 0.19/0.53 % (1185)Instructions burned: 2 (million)
% 0.19/0.53 % (1185)------------------------------
% 0.19/0.53 % (1185)------------------------------
% 0.19/0.53 % (1174)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53 % (1174)First to succeed.
% 0.19/0.53 % (1174)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (1174)------------------------------
% 0.19/0.53 % (1174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1174)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (1174)Memory used [KB]: 1407
% 0.19/0.53 % (1174)Time elapsed: 0.041 s
% 0.19/0.53 % (1174)Instructions burned: 4 (million)
% 0.19/0.53 % (1174)------------------------------
% 0.19/0.53 % (1174)------------------------------
% 0.19/0.53 % (1158)Success in time 0.18 s
%------------------------------------------------------------------------------