TSTP Solution File: AGT023+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : AGT023+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 : Wed Aug 30 15:54:36 EDT 2023
% Result : Theorem 208.91s 28.43s
% Output : CNFRefutation 208.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 76 ( 27 unt; 0 def)
% Number of atoms : 213 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 236 ( 99 ~; 91 |; 36 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 106 ( 1 sgn; 72 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X2,X4,X5] :
( ( less(X4,X2)
& accept_population(X0,X5,X2) )
=> accept_population(X0,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_3) ).
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/sandbox2/benchmark/theBenchmark.p',a2_9) ).
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/sandbox2/benchmark/theBenchmark.p',a2_10) ).
fof(f473,axiom,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_204) ).
fof(f635,axiom,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deduced_366) ).
fof(f661,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn24) ).
fof(f662,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn25) ).
fof(f894,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f906,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less45) ).
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/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).
fof(f915,axiom,
! [X6] :
( rdn_non_zero_digit(rdnn(X6))
=> rdn_non_zero(rdnn(X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
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/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f923,conjecture,
? [X6] : ~ accept_city(X6,citya),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_23) ).
fof(f924,negated_conjecture,
~ ? [X6] : ~ accept_city(X6,citya),
inference(negated_conjecture,[],[f923]) ).
fof(f926,plain,
! [X0,X1,X2,X3] :
( ( less(X2,X1)
& accept_population(X0,X3,X1) )
=> accept_population(X0,X3,X2) ),
inference(rectify,[],[f3]) ).
fof(f933,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(f935,plain,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
inference(rectify,[],[f915]) ).
fof(f937,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(f943,plain,
~ ? [X0] : ~ accept_city(X0,citya),
inference(rectify,[],[f924]) ).
fof(f950,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(ennf_transformation,[],[f926]) ).
fof(f951,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(flattening,[],[f950]) ).
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(ennf_transformation,[],[f933]) ).
fof(f960,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,[],[f959]) ).
fof(f962,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f935]) ).
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,[],[f937]) ).
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(f970,plain,
! [X0] : accept_city(X0,citya),
inference(ennf_transformation,[],[f943]) ).
fof(f989,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(f990,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,[],[f989]) ).
fof(f991,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(f992,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,[],[f991]) ).
fof(f1006,plain,
! [X2,X3,X0,X1] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(cnf_transformation,[],[f951]) ).
fof(f1059,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,[],[f990]) ).
fof(f1066,plain,
! [X0] :
( accept_population(X0,atheist,n75)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f992]) ).
fof(f1067,plain,
! [X0] :
( accept_population(X0,christian,n25)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f992]) ).
fof(f1069,plain,
! [X0] :
( accept_population(X0,native,n0)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f992]) ).
fof(f1070,plain,
! [X0] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,citya) ),
inference(cnf_transformation,[],[f992]) ).
fof(f1541,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference(cnf_transformation,[],[f473]) ).
fof(f1703,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cnf_transformation,[],[f635]) ).
fof(f1729,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf_transformation,[],[f661]) ).
fof(f1730,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(cnf_transformation,[],[f662]) ).
fof(f1962,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f894]) ).
fof(f1974,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f906]) ).
fof(f1981,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_non_zero(X1)
| ~ rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(cnf_transformation,[],[f960]) ).
fof(f1983,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(cnf_transformation,[],[f962]) ).
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,[],[f965]) ).
fof(f1991,plain,
! [X0] : accept_city(X0,citya),
inference(cnf_transformation,[],[f970]) ).
cnf(c_54,plain,
( ~ accept_population(X0,X1,X2)
| ~ less(X3,X2)
| accept_population(X0,X1,X3) ),
inference(cnf_transformation,[],[f1006]) ).
cnf(c_112,plain,
( ~ 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) ),
inference(cnf_transformation,[],[f1059]) ).
cnf(c_113,plain,
( ~ accept_city(X0,citya)
| accept_population(X0,other,n0) ),
inference(cnf_transformation,[],[f1070]) ).
cnf(c_114,plain,
( ~ accept_city(X0,citya)
| accept_population(X0,native,n0) ),
inference(cnf_transformation,[],[f1069]) ).
cnf(c_116,plain,
( ~ accept_city(X0,citya)
| accept_population(X0,christian,n25) ),
inference(cnf_transformation,[],[f1067]) ).
cnf(c_117,plain,
( ~ accept_city(X0,citya)
| accept_population(X0,atheist,n75) ),
inference(cnf_transformation,[],[f1066]) ).
cnf(c_589,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference(cnf_transformation,[],[f1541]) ).
cnf(c_751,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cnf_transformation,[],[f1703]) ).
cnf(c_777,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf_transformation,[],[f1729]) ).
cnf(c_778,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(cnf_transformation,[],[f1730]) ).
cnf(c_1010,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f1962]) ).
cnf(c_1022,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f1974]) ).
cnf(c_1029,plain,
( ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_non_zero(X2)
| rdn_positive_less(rdn(rdnn(X0),X2),rdn(rdnn(X1),X2)) ),
inference(cnf_transformation,[],[f1981]) ).
cnf(c_1031,plain,
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f1983]) ).
cnf(c_1033,plain,
( ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X2,rdn_pos(X3))
| ~ rdn_positive_less(X1,X3)
| less(X0,X2) ),
inference(cnf_transformation,[],[f1985]) ).
cnf(c_1039,negated_conjecture,
accept_city(X0,citya),
inference(cnf_transformation,[],[f1991]) ).
cnf(c_1184,plain,
( ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,muslim,n1)
| accept_city(X0,towna) ),
inference(global_subsumption_just,[status(thm)],[c_112,c_1039,c_117,c_114,c_113,c_112]) ).
cnf(c_1185,plain,
( ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| accept_city(X0,towna) ),
inference(renaming,[status(thm)],[c_1184]) ).
cnf(c_103860,plain,
rdn_non_zero(rdnn(n2)),
inference(superposition,[status(thm)],[c_1010,c_1031]) ).
cnf(c_219611,plain,
( ~ accept_population(X0,X1,n25)
| ~ less(X2,n25)
| accept_population(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_281577,plain,
( ~ accept_population(X0,christian,n25)
| ~ less(n24,n25)
| accept_population(X0,christian,n24) ),
inference(instantiation,[status(thm)],[c_219611]) ).
cnf(c_342139,plain,
( ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),X0)
| ~ rdn_translate(X1,rdn_pos(X0))
| less(n24,X1) ),
inference(superposition,[status(thm)],[c_777,c_1033]) ).
cnf(c_369671,plain,
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2))))
| ~ rdn_positive_less(rdnn(n4),rdnn(X1))
| ~ rdn_non_zero(rdnn(n2))
| less(n24,X0) ),
inference(superposition,[status(thm)],[c_1029,c_342139]) ).
cnf(c_369672,plain,
( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2))))
| ~ rdn_positive_less(rdnn(n4),rdnn(X1))
| less(n24,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_369671,c_103860]) ).
cnf(c_370172,plain,
( ~ rdn_positive_less(rdnn(n4),rdnn(n5))
| less(n24,n25) ),
inference(superposition,[status(thm)],[c_778,c_369672]) ).
cnf(c_370177,plain,
less(n24,n25),
inference(forward_subsumption_resolution,[status(thm)],[c_370172,c_1022]) ).
cnf(c_485541,plain,
( ~ accept_population(X0,muslim,n1)
| accept_city(X0,towna) ),
inference(global_subsumption_just,[status(thm)],[c_1185,c_1039,c_117,c_116,c_114,c_113,c_112,c_281577,c_370177]) ).
cnf(c_485888,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,muslim,n1)
| accept_city(muslimcountrybhumanitarianorganization,towna) ),
inference(instantiation,[status(thm)],[c_485541]) ).
cnf(c_485889,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_485888,c_589,c_751]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : AGT023+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.15 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 17:35:10 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 208.91/28.43 % SZS status Started for theBenchmark.p
% 208.91/28.43 % SZS status Theorem for theBenchmark.p
% 208.91/28.43
% 208.91/28.43 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 208.91/28.43
% 208.91/28.43 ------ iProver source info
% 208.91/28.43
% 208.91/28.43 git: date: 2023-05-31 18:12:56 +0000
% 208.91/28.43 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 208.91/28.43 git: non_committed_changes: false
% 208.91/28.43 git: last_make_outside_of_git: false
% 208.91/28.43
% 208.91/28.43 ------ Parsing...
% 208.91/28.43 ------ Clausification by vclausify_rel & Parsing by iProver...
% 208.91/28.43
% 208.91/28.43 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 208.91/28.43
% 208.91/28.43 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 208.91/28.43
% 208.91/28.43 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 208.91/28.43 ------ Proving...
% 208.91/28.43 ------ Problem Properties
% 208.91/28.43
% 208.91/28.43
% 208.91/28.43 clauses 833
% 208.91/28.43 conjectures 1
% 208.91/28.43 EPR 550
% 208.91/28.43 Horn 832
% 208.91/28.43 unary 755
% 208.91/28.43 binary 57
% 208.91/28.43 lits 960
% 208.91/28.43 lits eq 1
% 208.91/28.43 fd_pure 0
% 208.91/28.43 fd_pseudo 0
% 208.91/28.43 fd_cond 0
% 208.91/28.43 fd_pseudo_cond 1
% 208.91/28.43 AC symbols 0
% 208.91/28.43
% 208.91/28.43 ------ Input Options Time Limit: Unbounded
% 208.91/28.43
% 208.91/28.43
% 208.91/28.43 ------
% 208.91/28.43 Current options:
% 208.91/28.43 ------
% 208.91/28.43
% 208.91/28.43
% 208.91/28.43
% 208.91/28.43
% 208.91/28.43 ------ Proving...
% 208.91/28.43
% 208.91/28.43
% 208.91/28.43 % SZS status Theorem for theBenchmark.p
% 208.91/28.43
% 208.91/28.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 208.91/28.43
% 208.91/28.44
%------------------------------------------------------------------------------