TSTP Solution File: CAT005-4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CAT005-4 : 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_sat --cores 0 -t %d %s
% Computer : n004.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 15:51:15 EDT 2022
% Result : Unsatisfiable 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 30 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 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 : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,plain,
$false,
inference(subsumption_resolution,[],[f71,f52]) ).
fof(f52,plain,
~ there_exists(d),
inference(subsumption_resolution,[],[f51,f18]) ).
fof(f18,plain,
d != sF0,
inference(definition_folding,[],[f15,f17]) ).
fof(f17,plain,
domain(a) = sF0,
introduced(function_definition,[]) ).
fof(f15,axiom,
d != domain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).
fof(f51,plain,
( ~ there_exists(d)
| d = sF0 ),
inference(backward_demodulation,[],[f29,f50]) ).
fof(f50,plain,
codomain(d) = sF0,
inference(forward_demodulation,[],[f49,f17]) ).
fof(f49,plain,
domain(a) = codomain(d),
inference(subsumption_resolution,[],[f45,f31]) ).
fof(f31,plain,
there_exists(a),
inference(backward_demodulation,[],[f12,f28]) ).
fof(f28,plain,
a = compose(a,d),
inference(resolution,[],[f13,f12]) ).
fof(f13,axiom,
! [X0] :
( ~ there_exists(compose(X0,d))
| compose(X0,d) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xd_equals_x) ).
fof(f12,axiom,
there_exists(compose(a,d)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ad_exists) ).
fof(f45,plain,
( ~ there_exists(a)
| domain(a) = codomain(d) ),
inference(superposition,[],[f7,f28]) ).
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(f29,plain,
( d = codomain(d)
| ~ there_exists(d) ),
inference(superposition,[],[f13,f11]) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_codomain) ).
fof(f71,plain,
there_exists(d),
inference(subsumption_resolution,[],[f70,f27]) ).
fof(f27,plain,
there_exists(sF0),
inference(forward_demodulation,[],[f22,f17]) ).
fof(f22,plain,
there_exists(domain(a)),
inference(resolution,[],[f6,f12]) ).
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(f70,plain,
( ~ there_exists(sF0)
| there_exists(d) ),
inference(superposition,[],[f5,f50]) ).
fof(f5,axiom,
! [X0] :
( ~ there_exists(codomain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_has_elements) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : CAT005-4 : 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_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 29 16:13:20 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.48 % (23404)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49 % (23412)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.49 % (23421)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.49 TRYING [1]
% 0.17/0.49 TRYING [2]
% 0.17/0.49 TRYING [3]
% 0.17/0.49 TRYING [4]
% 0.17/0.49 % (23413)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.50 % (23413)First to succeed.
% 0.17/0.50 % (23403)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.50 % (23400)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.50 % (23405)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.51 % (23413)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (23413)------------------------------
% 0.17/0.51 % (23413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (23413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (23413)Termination reason: Refutation
% 0.17/0.51
% 0.17/0.51 % (23413)Memory used [KB]: 895
% 0.17/0.51 % (23413)Time elapsed: 0.068 s
% 0.17/0.51 % (23413)Instructions burned: 3 (million)
% 0.17/0.51 % (23413)------------------------------
% 0.17/0.51 % (23413)------------------------------
% 0.17/0.51 % (23397)Success in time 0.179 s
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