TSTP Solution File: LAT005-6 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT005-6 : TPTP v8.2.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : Mon May 20 23:36:57 EDT 2024
% Result : Unsatisfiable 7.34s 1.39s
% Output : Refutation 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 33
% Syntax : Number of formulae : 91 ( 61 unt; 0 def)
% Number of atoms : 159 ( 4 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 146 ( 78 ~; 62 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 159 ( 159 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104362,plain,
$false,
inference(subsumption_resolution,[],[f104241,f63116]) ).
fof(f63116,plain,
sP3(n0,e,d,c2),
inference(unit_resulting_resolution,[],[f44460,f63096,f44]) ).
fof(f44,plain,
! [X2,X3,X1,X4,X5] :
( ~ meet(X1,X2,X4)
| meet(X3,X2,X5)
| sP3(X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_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(f63096,plain,
~ meet(d,a2,n0),
inference(unit_resulting_resolution,[],[f36,f28828,f48]) ).
fof(f48,plain,
! [X2,X0,X1,X6,X7] :
( ~ meet(X1,X2,X7)
| ~ join(X0,X1,X6)
| sP5(X2,X0,X6,X7) ),
inference(cnf_transformation,[],[f48_D]) ).
fof(f48_D,plain,
! [X7,X6,X0,X2] :
( ! [X1] :
( ~ meet(X1,X2,X7)
| ~ join(X0,X1,X6) )
<=> ~ sP5(X2,X0,X6,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f28828,plain,
~ sP5(a2,r1,b2,n0),
inference(unit_resulting_resolution,[],[f22,f37,f217,f49]) ).
fof(f49,plain,
! [X2,X0,X8,X6,X7] :
( ~ sP5(X2,X0,X6,X7)
| ~ meet(X0,X2,X0)
| meet(X2,X6,X8)
| ~ join(X0,X7,X8) ),
inference(general_splitting,[],[f16,f48_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(f217,plain,
meet(r1,a2,r1),
inference(unit_resulting_resolution,[],[f35,f10]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ join(X0,X1,X2)
| meet(X0,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion2) ).
fof(f35,axiom,
join(r1,e,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_e) ).
fof(f37,axiom,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a2_and_b2) ).
fof(f22,axiom,
! [X0] : join(X0,n0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_x_and_0) ).
fof(f36,axiom,
join(r1,d,b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_r1_and_d) ).
fof(f44460,plain,
meet(c2,a2,e),
inference(forward_demodulation,[],[f44450,f1033]) ).
fof(f1033,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(f3,axiom,
! [X0] : join(n0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_0_and_x) ).
fof(f19,axiom,
! [X0,X1] : join(X0,X1,join_of(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_total_function_1) ).
fof(f44450,plain,
meet(c2,a2,join_of(n0,e)),
inference(unit_resulting_resolution,[],[f91,f11040,f38640,f47]) ).
fof(f47,plain,
! [X2,X0,X8,X6,X7] :
( ~ sP4(X7,X0,X6,X2)
| ~ meet(X0,X2,X2)
| meet(X0,X7,X8)
| ~ join(X2,X6,X8) ),
inference(general_splitting,[],[f26,f46_D]) ).
fof(f46,plain,
! [X2,X0,X1,X6,X7] :
( ~ meet(X0,X1,X6)
| ~ join(X1,X2,X7)
| sP4(X7,X0,X6,X2) ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,plain,
! [X2,X6,X0,X7] :
( ! [X1] :
( ~ meet(X0,X1,X6)
| ~ join(X1,X2,X7) )
<=> ~ sP4(X7,X0,X6,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,axiom,
! [X2,X0,X1,X8,X6,X7] :
( ~ join(X1,X2,X7)
| ~ join(X2,X6,X8)
| ~ meet(X0,X2,X2)
| ~ meet(X0,X1,X6)
| meet(X0,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modularity4) ).
fof(f38640,plain,
meet(c2,e,e),
inference(unit_resulting_resolution,[],[f36708,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(f36708,plain,
meet(e,c2,e),
inference(unit_resulting_resolution,[],[f35272,f10]) ).
fof(f35272,plain,
join(e,a,c2),
inference(unit_resulting_resolution,[],[f2021,f34382,f39]) ).
fof(f39,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP0(X5,X4,X3,X1)
| join(X0,X4,X5)
| ~ join(X0,X1,X3) ),
inference(general_splitting,[],[f14,f38_D]) ).
fof(f38,plain,
! [X2,X3,X1,X4,X5] :
( ~ join(X3,X2,X5)
| ~ join(X1,X2,X4)
| sP0(X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_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(f34382,plain,
join(e,c,b),
inference(unit_resulting_resolution,[],[f33797,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(f33797,plain,
join(c,e,b),
inference(forward_demodulation,[],[f33481,f371]) ).
fof(f371,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(f33481,plain,
join(c,e,meet_of(n1,b)),
inference(unit_resulting_resolution,[],[f56,f17875,f209,f51]) ).
fof(f51,plain,
! [X2,X0,X8,X6,X7] :
( ~ sP6(X7,X0,X6,X2)
| ~ meet(X2,X6,X8)
| join(X0,X7,X8)
| ~ meet(X0,X2,X0) ),
inference(general_splitting,[],[f15,f50_D]) ).
fof(f50,plain,
! [X2,X0,X1,X6,X7] :
( ~ meet(X1,X2,X7)
| ~ join(X0,X1,X6)
| sP6(X7,X0,X6,X2) ),
inference(cnf_transformation,[],[f50_D]) ).
fof(f50_D,plain,
! [X2,X6,X0,X7] :
( ! [X1] :
( ~ meet(X1,X2,X7)
| ~ join(X0,X1,X6) )
<=> ~ sP6(X7,X0,X6,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).
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(f209,plain,
meet(c,b,c),
inference(unit_resulting_resolution,[],[f166,f10]) ).
fof(f166,plain,
join(c,b,b),
inference(unit_resulting_resolution,[],[f133,f8]) ).
fof(f133,plain,
join(b,c,b),
inference(unit_resulting_resolution,[],[f61,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| join(X0,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion1) ).
fof(f61,plain,
meet(b,a,c),
inference(unit_resulting_resolution,[],[f27,f7]) ).
fof(f27,axiom,
meet(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_a_and_b) ).
fof(f17875,plain,
sP6(e,c,n1,b),
inference(unit_resulting_resolution,[],[f28,f30,f50]) ).
fof(f30,axiom,
meet(r2,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_b) ).
fof(f28,axiom,
join(c,r2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_c_and_r2) ).
fof(f56,plain,
! [X0,X1] : meet(X0,X1,meet_of(X1,X0)),
inference(unit_resulting_resolution,[],[f17,f7]) ).
fof(f2021,plain,
sP0(c2,a,b,c),
inference(unit_resulting_resolution,[],[f158,f96,f38]) ).
fof(f96,plain,
join(b,a,c2),
inference(unit_resulting_resolution,[],[f31,f8]) ).
fof(f31,axiom,
join(a,b,c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_a_and_b) ).
fof(f158,plain,
join(c,a,a),
inference(unit_resulting_resolution,[],[f131,f8]) ).
fof(f131,plain,
join(a,c,a),
inference(unit_resulting_resolution,[],[f27,f9]) ).
fof(f11040,plain,
sP4(a2,c2,n0,e),
inference(unit_resulting_resolution,[],[f35,f33,f46]) ).
fof(f33,axiom,
meet(c2,r1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c2_and_r1) ).
fof(f91,plain,
! [X0,X1] : join(X0,X1,join_of(X1,X0)),
inference(unit_resulting_resolution,[],[f19,f8]) ).
fof(f104241,plain,
~ sP3(n0,e,d,c2),
inference(unit_resulting_resolution,[],[f35717,f104022,f45]) ).
fof(f45,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP3(X5,X4,X3,X1)
| ~ meet(X0,X4,X5)
| ~ meet(X0,X1,X3) ),
inference(general_splitting,[],[f11,f44_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(f104022,plain,
meet(d,e,n0),
inference(unit_resulting_resolution,[],[f475,f7075,f44]) ).
fof(f7075,plain,
~ sP3(n0,e,d,r2),
inference(unit_resulting_resolution,[],[f64,f5830,f45]) ).
fof(f5830,plain,
meet(a,e,n0),
inference(unit_resulting_resolution,[],[f27,f4332,f43]) ).
fof(f43,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP2(X5,X4,X3,X1)
| meet(X0,X4,X5)
| ~ meet(X0,X1,X3) ),
inference(general_splitting,[],[f12,f42_D]) ).
fof(f42,plain,
! [X2,X3,X1,X4,X5] :
( ~ meet(X3,X2,X5)
| ~ meet(X1,X2,X4)
| sP2(X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_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(f4332,plain,
sP2(n0,e,c,b),
inference(unit_resulting_resolution,[],[f63,f29,f42]) ).
fof(f29,axiom,
meet(c,r2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_c_and_r2) ).
fof(f63,plain,
meet(b,r2,e),
inference(unit_resulting_resolution,[],[f30,f7]) ).
fof(f64,plain,
meet(a,r2,d),
inference(unit_resulting_resolution,[],[f34,f7]) ).
fof(f34,axiom,
meet(r2,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_r2_and_a) ).
fof(f475,plain,
meet(r2,e,e),
inference(unit_resulting_resolution,[],[f214,f7]) ).
fof(f214,plain,
meet(e,r2,e),
inference(unit_resulting_resolution,[],[f160,f10]) ).
fof(f160,plain,
join(e,r2,r2),
inference(unit_resulting_resolution,[],[f136,f8]) ).
fof(f136,plain,
join(r2,e,r2),
inference(unit_resulting_resolution,[],[f30,f9]) ).
fof(f35717,plain,
meet(d,c2,d),
inference(unit_resulting_resolution,[],[f34733,f10]) ).
fof(f34733,plain,
join(d,b,c2),
inference(unit_resulting_resolution,[],[f1979,f34098,f39]) ).
fof(f34098,plain,
join(d,c,a),
inference(unit_resulting_resolution,[],[f33799,f8]) ).
fof(f33799,plain,
join(c,d,a),
inference(forward_demodulation,[],[f33412,f371]) ).
fof(f33412,plain,
join(c,d,meet_of(n1,a)),
inference(unit_resulting_resolution,[],[f56,f17862,f208,f51]) ).
fof(f208,plain,
meet(c,a,c),
inference(unit_resulting_resolution,[],[f158,f10]) ).
fof(f17862,plain,
sP6(d,c,n1,a),
inference(unit_resulting_resolution,[],[f28,f34,f50]) ).
fof(f1979,plain,
sP0(c2,b,a,c),
inference(unit_resulting_resolution,[],[f166,f31,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT005-6 : TPTP v8.2.0. Released v1.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n013.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 : Sun May 19 20:38:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (15945)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (15950)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 % (15948)WARNING: value z3 for option sas not known
% 0.15/0.38 % (15946)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (15947)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 % (15949)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (15948)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 % (15951)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 % (15952)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 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 TRYING [4]
% 0.15/0.41 TRYING [3]
% 0.23/0.43 TRYING [5]
% 0.23/0.46 TRYING [4]
% 0.23/0.53 TRYING [6]
% 1.75/0.60 TRYING [5]
% 2.55/0.71 TRYING [7]
% 5.12/1.10 TRYING [8]
% 5.12/1.14 TRYING [6]
% 6.89/1.39 % (15952)First to succeed.
% 6.89/1.39 % (15952)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15945"
% 7.34/1.39 % (15952)Refutation found. Thanks to Tanya!
% 7.34/1.39 % SZS status Unsatisfiable for theBenchmark
% 7.34/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 7.34/1.39 % (15952)------------------------------
% 7.34/1.39 % (15952)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 7.34/1.39 % (15952)Termination reason: Refutation
% 7.34/1.39
% 7.34/1.39 % (15952)Memory used [KB]: 25559
% 7.34/1.39 % (15952)Time elapsed: 1.008 s
% 7.34/1.39 % (15952)Instructions burned: 3141 (million)
% 7.34/1.39 % (15945)Success in time 1.026 s
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