TSTP Solution File: CAT006-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CAT006-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 04:43:44 EDT 2024
% Result : Unsatisfiable 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 25 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 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(f78,plain,
$false,
inference(trivial_inequality_removal,[],[f72]) ).
fof(f72,plain,
d != d,
inference(superposition,[],[f21,f71]) ).
fof(f71,plain,
d = codomain(a),
inference(resolution,[],[f67,f55]) ).
fof(f55,plain,
there_exists(a),
inference(backward_demodulation,[],[f18,f52]) ).
fof(f52,plain,
a = compose(d,a),
inference(resolution,[],[f20,f18]) ).
fof(f20,axiom,
! [X0] :
( ~ there_exists(compose(d,X0))
| compose(d,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dx_equals_x) ).
fof(f18,axiom,
there_exists(compose(d,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',da_exists) ).
fof(f67,plain,
( ~ there_exists(a)
| d = codomain(a) ),
inference(forward_demodulation,[],[f65,f60]) ).
fof(f60,plain,
d = domain(d),
inference(resolution,[],[f54,f32]) ).
fof(f32,plain,
there_exists(d),
inference(resolution,[],[f29,f4]) ).
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_has_elements) ).
fof(f29,plain,
there_exists(domain(d)),
inference(resolution,[],[f6,f18]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_implies_domain) ).
fof(f54,plain,
( ~ there_exists(d)
| d = domain(d) ),
inference(superposition,[],[f20,f10]) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_domain) ).
fof(f65,plain,
( ~ there_exists(a)
| codomain(a) = domain(d) ),
inference(superposition,[],[f7,f52]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f21,axiom,
d != codomain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_a_is_d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.15/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 18:10:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.36 % (4218)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37 % (4223)WARNING: value z3 for option sas not known
% 0.22/0.38 % (4222)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (4221)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (4224)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (4223)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (4225)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38 % (4226)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38 % (4227)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 % (4226)First to succeed.
% 0.22/0.38 % (4226)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4218"
% 0.22/0.38 % (4223)Also succeeded, but the first one will report.
% 0.22/0.38 TRYING [1]
% 0.22/0.38 % (4226)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (4226)------------------------------
% 0.22/0.38 % (4226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (4226)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (4226)Memory used [KB]: 785
% 0.22/0.38 % (4226)Time elapsed: 0.005 s
% 0.22/0.38 % (4226)Instructions burned: 5 (million)
% 0.22/0.38 % (4218)Success in time 0.021 s
%------------------------------------------------------------------------------