TSTP Solution File: CAT005-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CAT005-1 : 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 : n014.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 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 63 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 67 ( 34 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f446,plain,
$false,
inference(subsumption_resolution,[],[f445,f21]) ).
fof(f21,axiom,
d != domain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).
fof(f445,plain,
d = domain(a),
inference(forward_demodulation,[],[f429,f152]) ).
fof(f152,plain,
d = codomain(d),
inference(resolution,[],[f150,f20]) ).
fof(f20,axiom,
identity_map(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_identity_map) ).
fof(f150,plain,
! [X0] :
( ~ identity_map(X0)
| codomain(X0) = X0 ),
inference(subsumption_resolution,[],[f147,f13]) ).
fof(f13,axiom,
! [X0] : defined(codomain(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mapping_from_codomain_of_x_to_x) ).
fof(f147,plain,
! [X0] :
( codomain(X0) = X0
| ~ defined(codomain(X0),X0)
| ~ identity_map(X0) ),
inference(resolution,[],[f69,f17]) ).
fof(f17,axiom,
! [X0,X1] :
( product(X0,X1,X0)
| ~ defined(X0,X1)
| ~ identity_map(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity2) ).
fof(f69,plain,
! [X0,X1] :
( ~ product(codomain(X1),X1,X0)
| X0 = X1 ),
inference(resolution,[],[f18,f15]) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_on_codomain) ).
fof(f18,axiom,
! [X2,X0,X1,X6] :
( ~ product(X0,X1,X6)
| X2 = X6
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_is_well_defined) ).
fof(f429,plain,
domain(a) = codomain(d),
inference(resolution,[],[f410,f19]) ).
fof(f19,axiom,
defined(a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ad_defined) ).
fof(f410,plain,
! [X0,X1] :
( ~ defined(X0,X1)
| domain(X0) = codomain(X1) ),
inference(subsumption_resolution,[],[f395,f10]) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_is_an_identity_map) ).
fof(f395,plain,
! [X0,X1] :
( ~ identity_map(domain(X0))
| domain(X0) = codomain(X1)
| ~ defined(X0,X1) ),
inference(resolution,[],[f375,f27]) ).
fof(f27,plain,
! [X0,X1] :
( defined(domain(X0),X1)
| ~ defined(X0,X1) ),
inference(resolution,[],[f3,f14]) ).
fof(f14,axiom,
! [X0] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_on_domain) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| defined(X1,X2)
| ~ defined(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_property2) ).
fof(f375,plain,
! [X0,X1] :
( ~ defined(X1,X0)
| ~ identity_map(X1)
| codomain(X0) = X1 ),
inference(subsumption_resolution,[],[f358,f11]) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_is_an_identity_map) ).
fof(f358,plain,
! [X0,X1] :
( ~ identity_map(codomain(X0))
| codomain(X0) = X1
| ~ identity_map(X1)
| ~ defined(X1,X0) ),
inference(resolution,[],[f262,f34]) ).
fof(f34,plain,
! [X0,X1] :
( defined(X0,codomain(X1))
| ~ defined(X0,X1) ),
inference(resolution,[],[f6,f15]) ).
fof(f6,axiom,
! [X2,X0,X1,X4] :
( ~ product(X1,X2,X4)
| defined(X0,X1)
| ~ defined(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom3) ).
fof(f262,plain,
! [X0,X1] :
( ~ defined(X1,X0)
| ~ identity_map(X0)
| X0 = X1
| ~ identity_map(X1) ),
inference(resolution,[],[f72,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( product(X0,X1,X1)
| ~ defined(X0,X1)
| ~ identity_map(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity1) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| X0 = X1
| ~ identity_map(X2) ),
inference(subsumption_resolution,[],[f68,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_property1) ).
fof(f68,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ product(X1,X2,X0)
| ~ defined(X1,X2)
| ~ identity_map(X2) ),
inference(resolution,[],[f18,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CAT005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 18:09:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (10622)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (10626)WARNING: value z3 for option sas not known
% 0.15/0.38 % (10624)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (10625)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (10626)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)
% 0.15/0.38 % (10627)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (10628)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)
% 0.15/0.38 % (10630)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)
% 0.15/0.38 % (10629)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.39 TRYING [4]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 % (10626)First to succeed.
% 0.22/0.39 % (10626)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10622"
% 0.22/0.39 % (10626)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (10626)------------------------------
% 0.22/0.39 % (10626)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39 % (10626)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (10626)Memory used [KB]: 888
% 0.22/0.39 % (10626)Time elapsed: 0.015 s
% 0.22/0.39 % (10626)Instructions burned: 19 (million)
% 0.22/0.39 % (10622)Success in time 0.031 s
%------------------------------------------------------------------------------