TSTP Solution File: LAT005-5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT005-5 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Tue Apr 30 13:20:14 EDT 2024
% Result : Unsatisfiable 6.21s 1.23s
% Output : Refutation 6.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 30
% Syntax : Number of formulae : 88 ( 62 unt; 0 def)
% Number of atoms : 145 ( 4 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 123 ( 66 ~; 52 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 138 ( 138 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83569,plain,
$false,
inference(subsumption_resolution,[],[f83500,f48577]) ).
fof(f48577,plain,
sP3(n0,e,d,c2),
inference(unit_resulting_resolution,[],[f41439,f48562,f38]) ).
fof(f38,plain,
! [X2,X3,X1,X4,X5] :
( ~ meet(X1,X2,X4)
| meet(X3,X2,X5)
| sP3(X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,plain,
! [X1,X3,X4,X5] :
( ! [X2] :
( ~ meet(X1,X2,X4)
| meet(X3,X2,X5) )
<=> ~ sP3(X5,X4,X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f48562,plain,
~ meet(d,a2,n0),
inference(unit_resulting_resolution,[],[f30,f18815,f40]) ).
fof(f40,plain,
! [X2,X0,X1,X6,X7] :
( ~ meet(X1,X2,X7)
| ~ join(X0,X1,X6)
| sP4(X2,X0,X6,X7) ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_D,plain,
! [X7,X6,X0,X2] :
( ! [X1] :
( ~ meet(X1,X2,X7)
| ~ join(X0,X1,X6) )
<=> ~ sP4(X2,X0,X6,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f18815,plain,
~ sP4(a2,r1,b2,n0),
inference(unit_resulting_resolution,[],[f83,f31,f207,f41]) ).
fof(f41,plain,
! [X2,X0,X8,X6,X7] :
( ~ sP4(X2,X0,X6,X7)
| ~ meet(X0,X2,X0)
| meet(X2,X6,X8)
| ~ join(X0,X7,X8) ),
inference(general_splitting,[],[f16,f40_D]) ).
fof(f16,axiom,
! [X2,X0,X1,X8,X6,X7] :
( ~ join(X0,X1,X6)
| ~ join(X0,X7,X8)
| ~ meet(X0,X2,X0)
| ~ meet(X1,X2,X7)
| meet(X2,X6,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modularity2) ).
fof(f207,plain,
meet(r1,a2,r1),
inference(unit_resulting_resolution,[],[f29,f10]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ join(X0,X1,X2)
| meet(X0,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion2) ).
fof(f29,axiom,
join(r1,e,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_e) ).
fof(f31,axiom,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a2_and_b2) ).
fof(f83,plain,
! [X0] : join(X0,n0,X0),
inference(unit_resulting_resolution,[],[f3,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ join(X0,X1,X2)
| join(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f3,axiom,
! [X0] : join(n0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_0_and_x) ).
fof(f30,axiom,
join(r1,d,b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_d) ).
fof(f41439,plain,
meet(c2,a2,e),
inference(forward_demodulation,[],[f41437,f1023]) ).
fof(f1023,plain,
! [X0] : join_of(n0,X0) = X0,
inference(unit_resulting_resolution,[],[f19,f3,f20]) ).
fof(f20,axiom,
! [X0,X1,X8,X9] :
( ~ join(X0,X1,X9)
| X8 = X9
| ~ join(X0,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_total_function_2) ).
fof(f19,axiom,
! [X0,X1] : join(X0,X1,join_of(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_total_function_1) ).
fof(f41437,plain,
meet(c2,a2,join_of(n0,e)),
inference(unit_resulting_resolution,[],[f81,f32324,f11075,f41]) ).
fof(f11075,plain,
sP4(c2,e,a2,n0),
inference(unit_resulting_resolution,[],[f87,f53,f40]) ).
fof(f53,plain,
meet(r1,c2,n0),
inference(unit_resulting_resolution,[],[f27,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| meet(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f27,axiom,
meet(c2,r1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c2_and_r1) ).
fof(f87,plain,
join(e,r1,a2),
inference(unit_resulting_resolution,[],[f29,f8]) ).
fof(f32324,plain,
meet(e,c2,e),
inference(unit_resulting_resolution,[],[f31924,f10]) ).
fof(f31924,plain,
join(e,a,c2),
inference(unit_resulting_resolution,[],[f2011,f31628,f33]) ).
fof(f33,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP0(X5,X4,X3,X1)
| join(X0,X4,X5)
| ~ join(X0,X1,X3) ),
inference(general_splitting,[],[f14,f32_D]) ).
fof(f32,plain,
! [X2,X3,X1,X4,X5] :
( ~ join(X3,X2,X5)
| ~ join(X1,X2,X4)
| sP0(X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,plain,
! [X1,X3,X4,X5] :
( ! [X2] :
( ~ join(X3,X2,X5)
| ~ join(X1,X2,X4) )
<=> ~ sP0(X5,X4,X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ join(X0,X1,X3)
| ~ join(X3,X2,X5)
| ~ join(X1,X2,X4)
| join(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join2) ).
fof(f31628,plain,
join(e,c,b),
inference(unit_resulting_resolution,[],[f31625,f8]) ).
fof(f31625,plain,
join(c,e,b),
inference(forward_demodulation,[],[f31618,f361]) ).
fof(f361,plain,
! [X0] : meet_of(n1,X0) = X0,
inference(unit_resulting_resolution,[],[f17,f6,f18]) ).
fof(f18,axiom,
! [X0,X1,X8,X9] :
( ~ meet(X0,X1,X9)
| X8 = X9
| ~ meet(X0,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_total_function_2) ).
fof(f6,axiom,
! [X0] : meet(n1,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_1_and_x) ).
fof(f17,axiom,
! [X0,X1] : meet(X0,X1,meet_of(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_total_function_1) ).
fof(f31618,plain,
join(c,e,meet_of(n1,b)),
inference(unit_resulting_resolution,[],[f46,f199,f14573,f43]) ).
fof(f43,plain,
! [X2,X0,X8,X6,X7] :
( ~ sP5(X7,X0,X6,X2)
| ~ meet(X2,X6,X8)
| join(X0,X7,X8)
| ~ meet(X0,X2,X0) ),
inference(general_splitting,[],[f15,f42_D]) ).
fof(f42,plain,
! [X2,X0,X1,X6,X7] :
( ~ meet(X1,X2,X7)
| ~ join(X0,X1,X6)
| sP5(X7,X0,X6,X2) ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,plain,
! [X2,X6,X0,X7] :
( ! [X1] :
( ~ meet(X1,X2,X7)
| ~ join(X0,X1,X6) )
<=> ~ sP5(X7,X0,X6,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,axiom,
! [X2,X0,X1,X8,X6,X7] :
( ~ join(X0,X1,X6)
| ~ meet(X0,X2,X0)
| ~ meet(X2,X6,X8)
| ~ meet(X1,X2,X7)
| join(X0,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modularity1) ).
fof(f14573,plain,
sP5(e,c,n1,b),
inference(unit_resulting_resolution,[],[f22,f24,f42]) ).
fof(f24,axiom,
meet(r2,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_b) ).
fof(f22,axiom,
join(c,r2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_c_and_r2) ).
fof(f199,plain,
meet(c,b,c),
inference(unit_resulting_resolution,[],[f156,f10]) ).
fof(f156,plain,
join(c,b,b),
inference(unit_resulting_resolution,[],[f123,f8]) ).
fof(f123,plain,
join(b,c,b),
inference(unit_resulting_resolution,[],[f49,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| join(X0,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion1) ).
fof(f49,plain,
meet(b,a,c),
inference(unit_resulting_resolution,[],[f21,f7]) ).
fof(f21,axiom,
meet(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a_and_b) ).
fof(f46,plain,
! [X0,X1] : meet(X0,X1,meet_of(X1,X0)),
inference(unit_resulting_resolution,[],[f17,f7]) ).
fof(f2011,plain,
sP0(c2,a,b,c),
inference(unit_resulting_resolution,[],[f148,f84,f32]) ).
fof(f84,plain,
join(b,a,c2),
inference(unit_resulting_resolution,[],[f25,f8]) ).
fof(f25,axiom,
join(a,b,c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_a_and_b) ).
fof(f148,plain,
join(c,a,a),
inference(unit_resulting_resolution,[],[f121,f8]) ).
fof(f121,plain,
join(a,c,a),
inference(unit_resulting_resolution,[],[f21,f9]) ).
fof(f81,plain,
! [X0,X1] : join(X0,X1,join_of(X1,X0)),
inference(unit_resulting_resolution,[],[f19,f8]) ).
fof(f83500,plain,
~ sP3(n0,e,d,c2),
inference(unit_resulting_resolution,[],[f29433,f83270,f39]) ).
fof(f39,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP3(X5,X4,X3,X1)
| ~ meet(X0,X4,X5)
| ~ meet(X0,X1,X3) ),
inference(general_splitting,[],[f11,f38_D]) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ meet(X0,X1,X3)
| ~ meet(X0,X4,X5)
| ~ meet(X1,X2,X4)
| meet(X3,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet1) ).
fof(f83270,plain,
meet(d,e,n0),
inference(unit_resulting_resolution,[],[f465,f7071,f38]) ).
fof(f7071,plain,
~ sP3(n0,e,d,r2),
inference(unit_resulting_resolution,[],[f52,f4936,f39]) ).
fof(f4936,plain,
meet(a,e,n0),
inference(unit_resulting_resolution,[],[f21,f4323,f37]) ).
fof(f37,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP2(X5,X4,X3,X1)
| meet(X0,X4,X5)
| ~ meet(X0,X1,X3) ),
inference(general_splitting,[],[f12,f36_D]) ).
fof(f36,plain,
! [X2,X3,X1,X4,X5] :
( ~ meet(X3,X2,X5)
| ~ meet(X1,X2,X4)
| sP2(X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
! [X1,X3,X4,X5] :
( ! [X2] :
( ~ meet(X3,X2,X5)
| ~ meet(X1,X2,X4) )
<=> ~ sP2(X5,X4,X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ meet(X0,X1,X3)
| ~ meet(X3,X2,X5)
| ~ meet(X1,X2,X4)
| meet(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet2) ).
fof(f4323,plain,
sP2(n0,e,c,b),
inference(unit_resulting_resolution,[],[f51,f23,f36]) ).
fof(f23,axiom,
meet(c,r2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c_and_r2) ).
fof(f51,plain,
meet(b,r2,e),
inference(unit_resulting_resolution,[],[f24,f7]) ).
fof(f52,plain,
meet(a,r2,d),
inference(unit_resulting_resolution,[],[f28,f7]) ).
fof(f28,axiom,
meet(r2,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_a) ).
fof(f465,plain,
meet(r2,e,e),
inference(unit_resulting_resolution,[],[f204,f7]) ).
fof(f204,plain,
meet(e,r2,e),
inference(unit_resulting_resolution,[],[f150,f10]) ).
fof(f150,plain,
join(e,r2,r2),
inference(unit_resulting_resolution,[],[f126,f8]) ).
fof(f126,plain,
join(r2,e,r2),
inference(unit_resulting_resolution,[],[f24,f9]) ).
fof(f29433,plain,
meet(d,c2,d),
inference(unit_resulting_resolution,[],[f29086,f10]) ).
fof(f29086,plain,
join(d,b,c2),
inference(unit_resulting_resolution,[],[f1969,f28784,f33]) ).
fof(f28784,plain,
join(d,c,a),
inference(unit_resulting_resolution,[],[f28781,f8]) ).
fof(f28781,plain,
join(c,d,a),
inference(forward_demodulation,[],[f28772,f361]) ).
fof(f28772,plain,
join(c,d,meet_of(n1,a)),
inference(unit_resulting_resolution,[],[f46,f198,f14560,f43]) ).
fof(f14560,plain,
sP5(d,c,n1,a),
inference(unit_resulting_resolution,[],[f22,f28,f42]) ).
fof(f198,plain,
meet(c,a,c),
inference(unit_resulting_resolution,[],[f148,f10]) ).
fof(f1969,plain,
sP0(c2,b,a,c),
inference(unit_resulting_resolution,[],[f156,f25,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT005-5 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Apr 29 21:28:47 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (30076)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (30079)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.38 % (30081)WARNING: value z3 for option sas not known
% 0.20/0.38 % (30080)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (30081)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)
% 0.20/0.38 % (30083)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)
% 0.20/0.38 % (30082)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (30084)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)
% 0.20/0.38 % (30085)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)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [3]
% 0.20/0.39 TRYING [4]
% 0.20/0.40 TRYING [4]
% 0.20/0.42 TRYING [5]
% 0.20/0.50 TRYING [6]
% 0.20/0.50 TRYING [5]
% 1.99/0.64 TRYING [7]
% 3.55/0.92 TRYING [8]
% 4.11/0.93 TRYING [6]
% 5.77/1.22 % (30085)First to succeed.
% 6.21/1.23 % (30085)Refutation found. Thanks to Tanya!
% 6.21/1.23 % SZS status Unsatisfiable for theBenchmark
% 6.21/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 6.21/1.23 % (30085)------------------------------
% 6.21/1.23 % (30085)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.21/1.23 % (30085)Termination reason: Refutation
% 6.21/1.23
% 6.21/1.23 % (30085)Memory used [KB]: 20055
% 6.21/1.23 % (30085)Time elapsed: 0.847 s
% 6.21/1.23 % (30085)Instructions burned: 2356 (million)
% 6.21/1.23 % (30085)------------------------------
% 6.21/1.23 % (30085)------------------------------
% 6.21/1.23 % (30076)Success in time 0.854 s
%------------------------------------------------------------------------------