TSTP Solution File: AGT012+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : AGT012+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 04:09:40 EDT 2024
% Result : Theorem 49.05s 7.39s
% Output : Refutation 49.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 66 ( 35 unt; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 149 ( 62 ~; 51 |; 24 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1124700,plain,
$false,
inference(subsumption_resolution,[],[f1124697,f273942]) ).
fof(f273942,plain,
rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))),
inference(unit_resulting_resolution,[],[f2000,f244178,f1980]) ).
fof(f1980,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1)
| rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
inference(cnf_transformation,[],[f958]) ).
fof(f958,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_non_zero(X1)
| ~ rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(flattening,[],[f957]) ).
fof(f957,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_non_zero(X1)
| ~ rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(ennf_transformation,[],[f937]) ).
fof(f937,plain,
! [X0,X1,X2] :
( ( rdn_non_zero(X1)
& rdn_positive_less(rdnn(X0),rdnn(X2)) )
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
inference(rectify,[],[f913]) ).
fof(f913,axiom,
! [X9,X13,X11] :
( ( rdn_non_zero(X13)
& rdn_positive_less(rdnn(X9),rdnn(X11)) )
=> rdn_positive_less(rdn(rdnn(X9),X13),rdn(rdnn(X11),X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).
fof(f244178,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(unit_resulting_resolution,[],[f1518,f106684,f1981]) ).
fof(f1981,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(cnf_transformation,[],[f960]) ).
fof(f960,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(flattening,[],[f959]) ).
fof(f959,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(ennf_transformation,[],[f938]) ).
fof(f938,plain,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X1),rdnn(X2))
& rdn_positive_less(rdnn(X0),rdnn(X1)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(rectify,[],[f911]) ).
fof(f911,axiom,
! [X6,X7,X8] :
( ( rdn_positive_less(rdnn(X7),rdnn(X8))
& rdn_positive_less(rdnn(X6),rdnn(X7)) )
=> rdn_positive_less(rdnn(X6),rdnn(X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f106684,plain,
rdn_positive_less(rdnn(n6),rdnn(n8)),
inference(unit_resulting_resolution,[],[f1521,f1515,f1981]) ).
fof(f1515,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(cnf_transformation,[],[f909]) ).
fof(f909,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78) ).
fof(f1521,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[],[f908]) ).
fof(f908,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67) ).
fof(f1518,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f907]) ).
fof(f907,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).
fof(f2000,plain,
rdn_non_zero(rdnn(n7)),
inference(unit_resulting_resolution,[],[f1007,f1891]) ).
fof(f1891,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f948]) ).
fof(f948,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f926]) ).
fof(f926,plain,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
inference(rectify,[],[f915]) ).
fof(f915,axiom,
! [X6] :
( rdn_non_zero_digit(rdnn(X6))
=> rdn_non_zero(rdnn(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f1007,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f899]) ).
fof(f899,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f1124697,plain,
~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))),
inference(unit_resulting_resolution,[],[f1830,f111335,f1996]) ).
fof(f1996,plain,
! [X2,X3,X0] :
( ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X0,rdn_pos(X2))
| sP2(X0,X3) ),
inference(cnf_transformation,[],[f1996_D]) ).
fof(f1996_D,plain,
! [X3,X0] :
( ! [X2] :
( ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X0,rdn_pos(X2)) )
<=> ~ sP2(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f111335,plain,
~ sP2(n75,rdn(rdnn(n8),rdnn(n7))),
inference(unit_resulting_resolution,[],[f1828,f111327,f1997]) ).
fof(f1997,plain,
! [X3,X0,X1] :
( ~ sP2(X0,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| less(X0,X1) ),
inference(general_splitting,[],[f1984,f1996_D]) ).
fof(f1984,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(cnf_transformation,[],[f965]) ).
fof(f965,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(flattening,[],[f964]) ).
fof(f964,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(ennf_transformation,[],[f941]) ).
fof(f941,plain,
! [X0,X1,X2,X3] :
( ( rdn_positive_less(X2,X3)
& rdn_translate(X1,rdn_pos(X3))
& rdn_translate(X0,rdn_pos(X2)) )
=> less(X0,X1) ),
inference(rectify,[],[f917]) ).
fof(f917,axiom,
! [X6,X7,X15,X16] :
( ( rdn_positive_less(X15,X16)
& rdn_translate(X7,rdn_pos(X16))
& rdn_translate(X6,rdn_pos(X15)) )
=> less(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f111327,plain,
~ less(n75,n78),
inference(unit_resulting_resolution,[],[f1378,f109866,f1986]) ).
fof(f1986,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| ~ less(X2,X1)
| accept_population(X0,X3,X2) ),
inference(cnf_transformation,[],[f969]) ).
fof(f969,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(flattening,[],[f968]) ).
fof(f968,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(ennf_transformation,[],[f943]) ).
fof(f943,plain,
! [X0,X1,X2,X3] :
( ( less(X2,X1)
& accept_population(X0,X3,X1) )
=> accept_population(X0,X3,X2) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X2,X4,X5] :
( ( less(X4,X2)
& accept_population(X0,X5,X2) )
=> accept_population(X0,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_3) ).
fof(f109866,plain,
~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
inference(unit_resulting_resolution,[],[f1002,f1000,f1367,f1361,f1371,f1940]) ).
fof(f1940,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| accept_city(X0,towna)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75) ),
inference(cnf_transformation,[],[f987]) ).
fof(f987,plain,
! [X0] :
( ( ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n24)
& accept_population(X0,atheist,n75) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75) ) ),
inference(flattening,[],[f986]) ).
fof(f986,plain,
! [X0] :
( ( ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n24)
& accept_population(X0,atheist,n75) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n24)
& accept_population(X0,atheist,n75) )
<=> accept_city(X0,towna) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_9) ).
fof(f1371,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
inference(cnf_transformation,[],[f362]) ).
fof(f362,axiom,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_93) ).
fof(f1361,plain,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
inference(cnf_transformation,[],[f472]) ).
fof(f472,axiom,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_203) ).
fof(f1367,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference(cnf_transformation,[],[f473]) ).
fof(f473,axiom,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_204) ).
fof(f1000,plain,
accept_population(muslimcountrybhumanitarianorganization,christian,n24),
inference(cnf_transformation,[],[f925]) ).
fof(f925,plain,
accept_population(muslimcountrybhumanitarianorganization,christian,n24),
inference(flattening,[],[f924]) ).
fof(f924,negated_conjecture,
~ ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
inference(negated_conjecture,[],[f923]) ).
fof(f923,conjecture,
~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_12) ).
fof(f1002,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cnf_transformation,[],[f635]) ).
fof(f635,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_366) ).
fof(f1378,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
inference(cnf_transformation,[],[f475]) ).
fof(f475,axiom,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_206) ).
fof(f1828,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f715]) ).
fof(f715,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78) ).
fof(f1830,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f712]) ).
fof(f712,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : AGT012+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 19:22:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (5174)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.40 % (5199)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)
% 0.13/0.40 % (5196)WARNING: value z3 for option sas not known
% 0.13/0.40 % (5194)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.40 % (5197)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.40 % (5193)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.40 % (5198)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)
% 0.13/0.40 % (5196)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)
% 0.13/0.40 % (5200)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)
% 0.21/0.44 TRYING [1]
% 0.21/0.45 TRYING [2]
% 0.21/0.48 TRYING [1]
% 0.21/0.49 TRYING [2]
% 0.21/0.50 TRYING [3]
% 0.21/0.54 TRYING [3]
% 1.99/0.66 TRYING [4]
% 2.45/0.76 TRYING [4]
% 4.54/1.04 TRYING [5]
% 8.04/1.52 TRYING [1]
% 8.04/1.52 TRYING [2]
% 8.22/1.56 TRYING [3]
% 8.87/1.69 TRYING [4]
% 10.20/1.85 TRYING [6]
% 10.83/1.96 TRYING [5]
% 14.32/2.44 TRYING [6]
% 19.02/3.12 TRYING [7]
% 21.11/3.45 TRYING [5]
% 21.11/3.47 TRYING [7]
% 32.63/5.02 TRYING [8]
% 32.82/5.07 TRYING [8]
% 49.05/7.37 % (5200)First to succeed.
% 49.05/7.38 % (5200)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5174"
% 49.05/7.39 % (5200)Refutation found. Thanks to Tanya!
% 49.05/7.39 % SZS status Theorem for theBenchmark
% 49.05/7.39 % SZS output start Proof for theBenchmark
% See solution above
% 49.05/7.39 % (5200)------------------------------
% 49.05/7.39 % (5200)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 49.05/7.39 % (5200)Termination reason: Refutation
% 49.05/7.39
% 49.05/7.39 % (5200)Memory used [KB]: 100148
% 49.05/7.39 % (5200)Time elapsed: 6.978 s
% 49.05/7.39 % (5200)Instructions burned: 24187 (million)
% 49.05/7.39 % (5174)Success in time 6.98 s
%------------------------------------------------------------------------------