TSTP Solution File: AGT023+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : AGT023+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 : n022.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 10:09:08 EDT 2024
% Result : Theorem 83.72s 12.43s
% Output : Refutation 83.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 64 ( 28 unt; 0 def)
% Number of atoms : 181 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 200 ( 83 ~; 70 |; 36 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 91 ( 88 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1175756,plain,
$false,
inference(subsumption_resolution,[],[f1175753,f108058]) ).
fof(f108058,plain,
rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))),
inference(unit_resulting_resolution,[],[f2018,f1517,f1981]) ).
fof(f1981,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,[],[f959]) ).
fof(f959,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,[],[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(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(f1517,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f906]) ).
fof(f906,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).
fof(f2018,plain,
rdn_non_zero(rdnn(n2)),
inference(unit_resulting_resolution,[],[f1013,f1892]) ).
fof(f1892,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f949]) ).
fof(f949,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(f1013,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f894]) ).
fof(f894,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f1175753,plain,
~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))),
inference(unit_resulting_resolution,[],[f1830,f111481,f1997]) ).
fof(f1997,plain,
! [X2,X3,X0] :
( ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X0,rdn_pos(X2))
| sP2(X0,X3) ),
inference(cnf_transformation,[],[f1997_D]) ).
fof(f1997_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(f111481,plain,
~ sP2(n24,rdn(rdnn(n5),rdnn(n2))),
inference(unit_resulting_resolution,[],[f1820,f111466,f1998]) ).
fof(f1998,plain,
! [X3,X0,X1] :
( ~ sP2(X0,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| less(X0,X1) ),
inference(general_splitting,[],[f1985,f1997_D]) ).
fof(f1985,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,[],[f966]) ).
fof(f966,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,[],[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(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(f111466,plain,
~ less(n24,n25),
inference(unit_resulting_resolution,[],[f2004,f61705,f1987]) ).
fof(f1987,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| ~ less(X2,X1)
| accept_population(X0,X3,X2) ),
inference(cnf_transformation,[],[f970]) ).
fof(f970,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(flattening,[],[f969]) ).
fof(f969,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(f61705,plain,
~ accept_population(muslimcountrybhumanitarianorganization,christian,n24),
inference(unit_resulting_resolution,[],[f1003,f1364,f2008]) ).
fof(f2008,plain,
! [X0] :
( ~ accept_population(X0,muslim,n1)
| accept_city(X0,towna)
| ~ accept_population(X0,christian,n24) ),
inference(subsumption_resolution,[],[f2007,f2005]) ).
fof(f2005,plain,
! [X0] : accept_population(X0,atheist,n75),
inference(subsumption_resolution,[],[f1936,f1001]) ).
fof(f1001,plain,
! [X0] : accept_city(X0,citya),
inference(cnf_transformation,[],[f948]) ).
fof(f948,plain,
! [X0] : accept_city(X0,citya),
inference(ennf_transformation,[],[f925]) ).
fof(f925,plain,
~ ? [X0] : ~ accept_city(X0,citya),
inference(rectify,[],[f924]) ).
fof(f924,negated_conjecture,
~ ? [X6] : ~ accept_city(X6,citya),
inference(negated_conjecture,[],[f923]) ).
fof(f923,conjecture,
? [X6] : ~ accept_city(X6,citya),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_23) ).
fof(f1936,plain,
! [X0] :
( accept_population(X0,atheist,n75)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f986]) ).
fof(f986,plain,
! [X0] :
( ( ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n25)
& accept_population(X0,atheist,n75) )
| ~ accept_city(X0,citya) )
& ( accept_city(X0,citya)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n25)
| ~ accept_population(X0,atheist,n75) ) ),
inference(flattening,[],[f985]) ).
fof(f985,plain,
! [X0] :
( ( ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n25)
& accept_population(X0,atheist,n75) )
| ~ accept_city(X0,citya) )
& ( accept_city(X0,citya)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n25)
| ~ accept_population(X0,atheist,n75) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n25)
& accept_population(X0,atheist,n75) )
<=> accept_city(X0,citya) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_10) ).
fof(f2007,plain,
! [X0] :
( accept_city(X0,towna)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75) ),
inference(subsumption_resolution,[],[f2006,f2002]) ).
fof(f2002,plain,
! [X0] : accept_population(X0,native,n0),
inference(subsumption_resolution,[],[f1939,f1001]) ).
fof(f1939,plain,
! [X0] :
( accept_population(X0,native,n0)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f986]) ).
fof(f2006,plain,
! [X0] :
( 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(subsumption_resolution,[],[f1941,f2001]) ).
fof(f2001,plain,
! [X0] : accept_population(X0,other,n0),
inference(subsumption_resolution,[],[f1940,f1001]) ).
fof(f1940,plain,
! [X0] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f986]) ).
fof(f1941,plain,
! [X0] :
( 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(cnf_transformation,[],[f988]) ).
fof(f988,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,[],[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(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(f1364,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(f1003,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(f2004,plain,
! [X0] : accept_population(X0,christian,n25),
inference(subsumption_resolution,[],[f1937,f1001]) ).
fof(f1937,plain,
! [X0] :
( accept_population(X0,christian,n25)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f986]) ).
fof(f1820,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(cnf_transformation,[],[f662]) ).
fof(f662,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn25) ).
fof(f1830,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf_transformation,[],[f661]) ).
fof(f661,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : AGT023+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 02:54:28 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (25257)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40 % (25260)WARNING: value z3 for option sas not known
% 0.22/0.40 % (25260)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)
% 0.22/0.41 % (25259)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.41 % (25258)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.41 % (25261)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.41 % (25262)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)
% 0.22/0.41 % (25263)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)
% 0.22/0.41 % (25264)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)
% 0.22/0.45 TRYING [1]
% 0.22/0.46 TRYING [2]
% 0.22/0.48 TRYING [1]
% 0.22/0.51 TRYING [2]
% 0.22/0.52 TRYING [3]
% 1.26/0.63 TRYING [3]
% 2.64/0.75 TRYING [4]
% 4.30/1.03 TRYING [4]
% 6.65/1.33 TRYING [5]
% 8.15/1.54 TRYING [1]
% 8.15/1.54 TRYING [2]
% 8.30/1.60 TRYING [3]
% 9.82/1.81 TRYING [5]
% 9.82/1.81 TRYING [4]
% 13.06/2.25 TRYING [5]
% 16.01/2.66 TRYING [6]
% 17.96/2.96 TRYING [6]
% 30.80/4.78 TRYING [7]
% 31.41/4.89 TRYING [7]
% 50.91/7.68 TRYING [8]
% 52.94/7.95 TRYING [8]
% 80.23/11.89 TRYING [9]
% 83.72/12.41 % (25264)First to succeed.
% 83.72/12.43 % (25264)Refutation found. Thanks to Tanya!
% 83.72/12.43 % SZS status Theorem for theBenchmark
% 83.72/12.43 % SZS output start Proof for theBenchmark
% See solution above
% 83.72/12.43 % (25264)------------------------------
% 83.72/12.43 % (25264)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 83.72/12.43 % (25264)Termination reason: Refutation
% 83.72/12.43
% 83.72/12.43 % (25264)Memory used [KB]: 107607
% 83.72/12.43 % (25264)Time elapsed: 12.003 s
% 83.72/12.43 % (25264)Instructions burned: 25242 (million)
% 83.72/12.43 % (25264)------------------------------
% 83.72/12.43 % (25264)------------------------------
% 83.72/12.43 % (25257)Success in time 11.972 s
% 84.24/12.43 25259 Aborted by signal SIGHUP on /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.24/12.43 % (25259)------------------------------
% 84.24/12.43 % (25259)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 84.24/12.43 % (25259)Termination reason: Time limit
% 84.24/12.43 % (25259)Termination phase: Finite model building constraint generation
% 84.24/12.43
% 84.24/12.43 % (25259)Memory used [KB]: 106258
% 84.24/12.43 % (25259)Time elapsed: 12.026 s
% 84.24/12.43 % (25259)Instructions burned: 34330 (million)
% 84.24/12.43 % (25259)------------------------------
% 84.24/12.43 % (25259)------------------------------
% 84.24/12.43 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
% 84.24/12.43 ???
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