TSTP Solution File: CAT014-4 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CAT014-4 : 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 : n025.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 15:51:18 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 16 unt; 0 def)
% Number of atoms : 26 ( 15 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 : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,plain,
$false,
inference(subsumption_resolution,[],[f85,f17]) ).
fof(f17,plain,
sF0 != sF1,
inference(definition_folding,[],[f13,f16,f15,f15]) ).
fof(f15,plain,
codomain(a) = sF0,
introduced(function_definition,[]) ).
fof(f16,plain,
codomain(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f13,axiom,
codomain(a) != codomain(codomain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_is_idempotent) ).
fof(f85,plain,
sF0 = sF1,
inference(backward_demodulation,[],[f16,f84]) ).
fof(f84,plain,
sF0 = codomain(sF0),
inference(forward_demodulation,[],[f79,f34]) ).
fof(f34,plain,
sF0 = domain(sF0),
inference(forward_demodulation,[],[f33,f15]) ).
fof(f33,plain,
codomain(a) = domain(sF0),
inference(subsumption_resolution,[],[f32,f21]) ).
fof(f21,plain,
there_exists(a),
inference(subsumption_resolution,[],[f19,f18]) ).
fof(f18,plain,
there_exists(sF0),
inference(forward_demodulation,[],[f12,f15]) ).
fof(f12,axiom,
there_exists(codomain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_codomain_exists) ).
fof(f19,plain,
( there_exists(a)
| ~ there_exists(sF0) ),
inference(superposition,[],[f5,f15]) ).
fof(f5,axiom,
! [X0] :
( ~ there_exists(codomain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_has_elements) ).
fof(f32,plain,
( ~ there_exists(a)
| codomain(a) = domain(sF0) ),
inference(superposition,[],[f7,f24]) ).
fof(f24,plain,
a = compose(sF0,a),
inference(superposition,[],[f11,f15]) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_codomain) ).
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(f79,plain,
domain(sF0) = codomain(domain(sF0)),
inference(resolution,[],[f30,f18]) ).
fof(f30,plain,
! [X0] :
( ~ there_exists(X0)
| domain(X0) = codomain(domain(X0)) ),
inference(superposition,[],[f7,f10]) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_domain) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT014-4 : 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_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 16:28:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.52 % (27358)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (27374)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)
% 0.20/0.53 % (27358)Instruction limit reached!
% 0.20/0.53 % (27358)------------------------------
% 0.20/0.53 % (27358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (27366)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)
% 0.20/0.53 % (27357)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)
% 0.20/0.53 % (27373)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54 % (27366)First to succeed.
% 0.20/0.54 % (27365)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.54 TRYING [4]
% 0.20/0.54 % (27358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (27358)Termination reason: Unknown
% 0.20/0.54 % (27358)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (27358)Memory used [KB]: 5500
% 0.20/0.54 % (27358)Time elapsed: 0.109 s
% 0.20/0.54 % (27358)Instructions burned: 8 (million)
% 0.20/0.54 % (27358)------------------------------
% 0.20/0.54 % (27358)------------------------------
% 0.20/0.55 % (27366)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (27366)------------------------------
% 0.20/0.55 % (27366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (27366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (27366)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (27366)Memory used [KB]: 895
% 0.20/0.55 % (27366)Time elapsed: 0.122 s
% 0.20/0.55 % (27366)Instructions burned: 3 (million)
% 0.20/0.55 % (27366)------------------------------
% 0.20/0.55 % (27366)------------------------------
% 0.20/0.55 % (27350)Success in time 0.19 s
%------------------------------------------------------------------------------