TSTP Solution File: PUZ018_1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : PUZ018_1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 : Fri May 3 02:54:35 EDT 2024
% Result : Theorem 2.30s 1.20s
% Output : CNFRefutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 97 ( 54 unt; 0 typ; 0 def)
% Number of atoms : 323 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 254 ( 119 ~; 127 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 91 ( 91 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 17 usr; 13 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 60 ( 3 sgn 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,axiom,
! [X0: day] :
( all_on(X0)
=> on(a,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_a_on) ).
tff(f2,axiom,
! [X0: day] :
( all_on(X0)
=> on(b,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_b_on) ).
tff(f3,axiom,
! [X0: day] :
( all_on(X0)
=> on(c,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_c_on) ).
tff(f6,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_follows_sunday) ).
tff(f7,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_follows_monday) ).
tff(f8,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
tff(f9,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
tff(f10,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_follows_thursday) ).
tff(f14,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
tff(f15,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
tff(f19,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_tuesday) ).
tff(f21,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_thursday) ).
tff(f30,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_thursday) ).
tff(f39,axiom,
( all_on(saturday)
| all_on(friday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_one_day) ).
tff(f40,axiom,
! [X0: day,X1: day,X2: day,X3: day,X4: person] :
~ ( on(X4,X2)
& on(X4,X1)
& on(X4,X0)
& consecutive(X2,X3)
& consecutive(X1,X2)
& consecutive(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_on_for_3_days) ).
tff(f41,axiom,
! [X0: person,X1: day,X2: day,X3: person] :
( same_day(X1,X2)
| same_person(X0,X3)
| on(X3,X2)
| on(X3,X1)
| on(X0,X2)
| on(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_off_twice_together) ).
tff(f42,axiom,
~ on(a,sunday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_sunday) ).
tff(f43,axiom,
~ on(a,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_tuesday) ).
tff(f44,axiom,
~ on(a,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_thursday) ).
tff(f45,axiom,
~ on(b,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_thursday) ).
tff(f46,axiom,
~ on(b,saturday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_saturday) ).
tff(f47,axiom,
~ on(c,sunday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_off_sunday) ).
tff(f48,conjecture,
all_on(friday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_all_on_friday) ).
tff(f49,negated_conjecture,
~ all_on(friday),
inference(negated_conjecture,[],[f48]) ).
tff(f50,plain,
~ all_on(friday),
inference(flattening,[],[f49]) ).
tff(f51,plain,
! [X0: day] :
( on(a,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f52,plain,
! [X0: day] :
( on(b,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f53,plain,
! [X0: day] :
( on(c,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f58,plain,
! [X0: day,X1: day,X2: day,X3: day,X4: person] :
( ~ on(X4,X2)
| ~ on(X4,X1)
| ~ on(X4,X0)
| ~ consecutive(X2,X3)
| ~ consecutive(X1,X2)
| ~ consecutive(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
tff(f59,plain,
! [X0: day] :
( on(a,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f51]) ).
tff(f60,plain,
! [X0: day] :
( on(b,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f52]) ).
tff(f61,plain,
! [X0: day] :
( on(c,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f53]) ).
tff(f64,plain,
consecutive(sunday,monday),
inference(cnf_transformation,[],[f6]) ).
tff(f65,plain,
consecutive(monday,tuesday),
inference(cnf_transformation,[],[f7]) ).
tff(f66,plain,
consecutive(tuesday,wednesday),
inference(cnf_transformation,[],[f8]) ).
tff(f67,plain,
consecutive(wednesday,thursday),
inference(cnf_transformation,[],[f9]) ).
tff(f68,plain,
consecutive(thursday,friday),
inference(cnf_transformation,[],[f10]) ).
tff(f72,plain,
~ same_person(a,b),
inference(cnf_transformation,[],[f14]) ).
tff(f73,plain,
~ same_person(a,c),
inference(cnf_transformation,[],[f15]) ).
tff(f77,plain,
~ same_day(sunday,tuesday),
inference(cnf_transformation,[],[f19]) ).
tff(f79,plain,
~ same_day(sunday,thursday),
inference(cnf_transformation,[],[f21]) ).
tff(f88,plain,
~ same_day(tuesday,thursday),
inference(cnf_transformation,[],[f30]) ).
tff(f97,plain,
( all_on(saturday)
| all_on(friday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
inference(cnf_transformation,[],[f39]) ).
tff(f98,plain,
! [X2: day,X3: day,X0: day,X1: day,X4: person] :
( ~ on(X4,X2)
| ~ on(X4,X1)
| ~ on(X4,X0)
| ~ consecutive(X2,X3)
| ~ consecutive(X1,X2)
| ~ consecutive(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
tff(f99,plain,
! [X2: day,X3: person,X0: person,X1: day] :
( same_day(X1,X2)
| same_person(X0,X3)
| on(X3,X2)
| on(X3,X1)
| on(X0,X2)
| on(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tff(f100,plain,
~ on(a,sunday),
inference(cnf_transformation,[],[f42]) ).
tff(f101,plain,
~ on(a,tuesday),
inference(cnf_transformation,[],[f43]) ).
tff(f102,plain,
~ on(a,thursday),
inference(cnf_transformation,[],[f44]) ).
tff(f103,plain,
~ on(b,thursday),
inference(cnf_transformation,[],[f45]) ).
tff(f104,plain,
~ on(b,saturday),
inference(cnf_transformation,[],[f46]) ).
tff(f105,plain,
~ on(c,sunday),
inference(cnf_transformation,[],[f47]) ).
tff(f106,plain,
~ all_on(friday),
inference(cnf_transformation,[],[f50]) ).
cnf(c_49,plain,
( ~ all_on(X0_13)
| on(a,X0_13) ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_50,plain,
( ~ all_on(X0_13)
| on(b,X0_13) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_51,plain,
( ~ all_on(X0_13)
| on(c,X0_13) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_54,plain,
consecutive(sunday,monday),
inference(cnf_transformation,[],[f64]) ).
cnf(c_55,plain,
consecutive(monday,tuesday),
inference(cnf_transformation,[],[f65]) ).
cnf(c_56,plain,
consecutive(tuesday,wednesday),
inference(cnf_transformation,[],[f66]) ).
cnf(c_57,plain,
consecutive(wednesday,thursday),
inference(cnf_transformation,[],[f67]) ).
cnf(c_58,plain,
consecutive(thursday,friday),
inference(cnf_transformation,[],[f68]) ).
cnf(c_62,plain,
~ same_person(a,b),
inference(cnf_transformation,[],[f72]) ).
cnf(c_63,plain,
~ same_person(a,c),
inference(cnf_transformation,[],[f73]) ).
cnf(c_67,plain,
~ same_day(sunday,tuesday),
inference(cnf_transformation,[],[f77]) ).
cnf(c_69,plain,
~ same_day(sunday,thursday),
inference(cnf_transformation,[],[f79]) ).
cnf(c_78,plain,
~ same_day(tuesday,thursday),
inference(cnf_transformation,[],[f88]) ).
cnf(c_87,plain,
( all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(friday)
| all_on(sunday)
| all_on(saturday) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_88,plain,
( ~ on(X0_14,X0_13)
| ~ on(X0_14,X1_13)
| ~ on(X0_14,X2_13)
| ~ consecutive(X0_13,X2_13)
| ~ consecutive(X1_13,X3_13)
| ~ consecutive(X2_13,X1_13) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_89,plain,
( on(X0_14,X0_13)
| on(X0_14,X1_13)
| on(X1_14,X0_13)
| on(X1_14,X1_13)
| same_day(X1_13,X0_13)
| same_person(X0_14,X1_14) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_90,plain,
~ on(a,sunday),
inference(cnf_transformation,[],[f100]) ).
cnf(c_91,plain,
~ on(a,tuesday),
inference(cnf_transformation,[],[f101]) ).
cnf(c_92,plain,
~ on(a,thursday),
inference(cnf_transformation,[],[f102]) ).
cnf(c_93,plain,
~ on(b,thursday),
inference(cnf_transformation,[],[f103]) ).
cnf(c_94,plain,
~ on(b,saturday),
inference(cnf_transformation,[],[f104]) ).
cnf(c_95,plain,
~ on(c,sunday),
inference(cnf_transformation,[],[f105]) ).
cnf(c_96,negated_conjecture,
~ all_on(friday),
inference(cnf_transformation,[],[f106]) ).
cnf(c_99,plain,
( ~ all_on(sunday)
| on(c,sunday) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_102,plain,
( all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(saturday) ),
inference(global_subsumption_just,[status(thm)],[c_87,c_96,c_95,c_99,c_87]) ).
cnf(c_244,plain,
( same_day(X0_13,X1_13)
| on(a,X0_13)
| on(a,X1_13)
| on(b,X0_13)
| on(b,X1_13) ),
inference(resolution,[status(thm)],[c_62,c_89]) ).
cnf(c_260,plain,
( same_day(X0_13,X1_13)
| on(a,X0_13)
| on(a,X1_13)
| on(c,X0_13)
| on(c,X1_13) ),
inference(resolution,[status(thm)],[c_63,c_89]) ).
cnf(c_358,plain,
( on(a,tuesday)
| on(a,sunday)
| on(c,tuesday)
| on(c,sunday) ),
inference(resolution,[status(thm)],[c_260,c_67]) ).
cnf(c_417,plain,
( on(a,thursday)
| on(a,sunday)
| on(c,thursday)
| on(c,sunday) ),
inference(resolution,[status(thm)],[c_260,c_69]) ).
cnf(c_423,plain,
( on(a,thursday)
| on(a,sunday)
| on(b,thursday)
| on(b,sunday) ),
inference(resolution,[status(thm)],[c_244,c_69]) ).
cnf(c_597,plain,
( on(a,tuesday)
| on(a,thursday)
| on(b,tuesday)
| on(b,thursday) ),
inference(resolution,[status(thm)],[c_244,c_78]) ).
cnf(c_792,plain,
( ~ all_on(thursday)
| on(b,thursday) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_793,plain,
( ~ all_on(saturday)
| on(b,saturday) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_796,plain,
( ~ on(X0_14,X0_13)
| ~ on(X0_14,monday)
| ~ on(X0_14,tuesday)
| ~ consecutive(X0_13,monday)
| ~ consecutive(tuesday,X1_13)
| ~ consecutive(monday,tuesday) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_798,plain,
( ~ on(X0_14,X0_13)
| ~ on(X0_14,wednesday)
| ~ on(X0_14,thursday)
| ~ consecutive(X0_13,wednesday)
| ~ consecutive(thursday,X1_13)
| ~ consecutive(wednesday,thursday) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_803,plain,
( ~ all_on(tuesday)
| on(a,tuesday) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_808,plain,
( ~ on(X0_14,X0_13)
| ~ on(X0_14,monday)
| ~ on(X0_14,tuesday)
| ~ consecutive(X0_13,monday)
| ~ consecutive(monday,tuesday)
| ~ consecutive(tuesday,wednesday) ),
inference(instantiation,[status(thm)],[c_796]) ).
cnf(c_810,plain,
( ~ on(X0_14,X0_13)
| ~ on(X0_14,wednesday)
| ~ on(X0_14,thursday)
| ~ consecutive(X0_13,wednesday)
| ~ consecutive(wednesday,thursday)
| ~ consecutive(thursday,friday) ),
inference(instantiation,[status(thm)],[c_798]) ).
cnf(c_812,plain,
( ~ all_on(wednesday)
| on(c,wednesday) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_818,plain,
( ~ on(X0_14,tuesday)
| ~ on(X0_14,wednesday)
| ~ on(X0_14,thursday)
| ~ consecutive(tuesday,wednesday)
| ~ consecutive(wednesday,thursday)
| ~ consecutive(thursday,friday) ),
inference(instantiation,[status(thm)],[c_810]) ).
cnf(c_823,plain,
( ~ on(b,X0_13)
| ~ consecutive(X0_13,monday)
| ~ on(b,monday)
| ~ on(b,tuesday)
| ~ consecutive(monday,tuesday)
| ~ consecutive(tuesday,wednesday) ),
inference(instantiation,[status(thm)],[c_808]) ).
cnf(c_824,plain,
( ~ on(b,monday)
| ~ on(b,tuesday)
| ~ on(b,sunday)
| ~ consecutive(monday,tuesday)
| ~ consecutive(tuesday,wednesday)
| ~ consecutive(sunday,monday) ),
inference(instantiation,[status(thm)],[c_823]) ).
cnf(c_833,plain,
( ~ on(c,tuesday)
| ~ on(c,wednesday)
| ~ on(c,thursday)
| ~ consecutive(tuesday,wednesday)
| ~ consecutive(wednesday,thursday)
| ~ consecutive(thursday,friday) ),
inference(instantiation,[status(thm)],[c_818]) ).
cnf(c_841,plain,
( ~ all_on(monday)
| on(b,monday) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_842,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_841,c_833,c_824,c_812,c_803,c_793,c_792,c_597,c_423,c_417,c_358,c_102,c_90,c_91,c_92,c_93,c_94,c_95,c_54,c_55,c_56,c_57,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : PUZ018_1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.08/0.15 % Command : run_iprover %s %d THM
% 0.15/0.37 % Computer : n002.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 2 21:23:12 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.30/1.20 % SZS status Started for theBenchmark.p
% 2.30/1.20 % SZS status Theorem for theBenchmark.p
% 2.30/1.20
% 2.30/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.30/1.20
% 2.30/1.20 ------ iProver source info
% 2.30/1.20
% 2.30/1.20 git: date: 2024-05-02 19:28:25 +0000
% 2.30/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.30/1.20 git: non_committed_changes: false
% 2.30/1.20
% 2.30/1.20 ------ Parsing...
% 2.30/1.20 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 2.30/1.20
% 2.30/1.20
% 2.30/1.20 ------ Preprocessing... pe_s pe:1:0s pe:2:0s pe_e
% 2.30/1.20
% 2.30/1.20 ------ Preprocessing...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 2.30/1.20 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.30/1.20 ------ Proving...
% 2.30/1.20 ------ Problem Properties
% 2.30/1.20
% 2.30/1.20
% 2.30/1.20 clauses 48
% 2.30/1.20 conjectures 1
% 2.30/1.20 EPR 48
% 2.30/1.20 Horn 35
% 2.30/1.20 unary 20
% 2.30/1.20 binary 19
% 2.30/1.20 lits 94
% 2.30/1.20 lits eq 0
% 2.30/1.20 fd_pure 0
% 2.30/1.20 fd_pseudo 0
% 2.30/1.20 fd_cond 0
% 2.30/1.20 fd_pseudo_cond 0
% 2.30/1.20 AC symbols 0
% 2.30/1.20
% 2.30/1.20 ------ Schedule EPR non Horn non eq is on
% 2.30/1.20
% 2.30/1.20 ------ no equalities: superposition off
% 2.30/1.20
% 2.30/1.20 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.30/1.20
% 2.30/1.20
% 2.30/1.20 ------
% 2.30/1.20 Current options:
% 2.30/1.20 ------
% 2.30/1.20
% 2.30/1.20
% 2.30/1.20
% 2.30/1.20
% 2.30/1.20 ------ Proving...
% 2.30/1.20
% 2.30/1.20
% 2.30/1.20 % SZS status Theorem for theBenchmark.p
% 2.30/1.20
% 2.30/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.30/1.20
% 2.30/1.20
%------------------------------------------------------------------------------