%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ018_1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:32:43 PM UTC 2026
% Result : Theorem 1.93s 1.28s
% Output : CNFRefutation 1.93s
% 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 : 373 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 254 ( 119 ~; 127 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 141 ( 141 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 60 ( 0 sgn 60 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: person ).
tff(pred_def_1,type,
all_on: day > $o ).
tff(pred_def_2,type,
on: ( day * person ) > $o ).
tff(pred_def_3,type,
consecutive: ( day * day ) > $o ).
tff(pred_def_4,type,
same_day: ( day * day ) > $o ).
tff(pred_def_5,type,
same_person: ( person * person ) > $o ).
tff(func_def_6,type,
thursday: day ).
tff(func_def_7,type,
friday: day ).
tff(func_def_8,type,
sunday: day ).
tff(func_def_9,type,
saturday: day ).
tff(f1,axiom,
! [X0: day] :
( all_on(X0)
=> on(a,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_a_on) ).
tff(f2,axiom,
! [X0: day] :
( all_on(X0)
=> on(b,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_b_on) ).
tff(f3,axiom,
! [X0: day] :
( all_on(X0)
=> on(c,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_c_on) ).
tff(f6,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_follows_sunday) ).
tff(f7,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_follows_monday) ).
tff(f8,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
tff(f9,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
tff(f10,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_follows_thursday) ).
tff(f14,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_b) ).
tff(f15,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
tff(f19,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_tuesday) ).
tff(f21,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_thursday) ).
tff(f30,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',no_two_off_twice_together) ).
tff(f42,axiom,
~ on(a,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_sunday) ).
tff(f43,axiom,
~ on(a,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_tuesday) ).
tff(f44,axiom,
~ on(a,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_thursday) ).
tff(f45,axiom,
~ on(b,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_thursday) ).
tff(f46,axiom,
~ on(b,saturday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_saturday) ).
tff(f47,axiom,
~ on(c,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_off_sunday) ).
tff(f48,conjecture,
all_on(friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_on_friday) ).
tff(f49,negated_conjecture,
~ all_on(friday),
inference(negated_conjecture,[status(cth)],[f48]) ).
tff(f50,plain,
~ all_on(friday),
inference(flattening,[],[f49]) ).
tff(f51,plain,
! [X0: day] :
( ~ all_on(X0)
| on(a,X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f52,plain,
! [X0: day] :
( ~ all_on(X0)
| on(b,X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f53,plain,
! [X0: day] :
( ~ all_on(X0)
| on(c,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] :
( ~ all_on(X0)
| on(a,X0) ),
inference(cnf_transformation,[],[f51]) ).
tff(f60,plain,
! [X0: day] :
( ~ all_on(X0)
| on(b,X0) ),
inference(cnf_transformation,[],[f52]) ).
tff(f61,plain,
! [X0: day] :
( ~ all_on(X0)
| on(c,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]) ).
tcf(c_49,plain,
! [X0_day: day] :
( on(a,X0_day)
| ~ all_on(X0_day) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_50,plain,
! [X0_day: day] :
( on(b,X0_day)
| ~ all_on(X0_day) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_51,plain,
! [X0_day: day] :
( on(c,X0_day)
| ~ all_on(X0_day) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_54,plain,
consecutive(sunday,monday),
inference(cnf_transformation,[],[f64]) ).
tcf(c_55,plain,
consecutive(monday,tuesday),
inference(cnf_transformation,[],[f65]) ).
tcf(c_56,plain,
consecutive(tuesday,wednesday),
inference(cnf_transformation,[],[f66]) ).
tcf(c_57,plain,
consecutive(wednesday,thursday),
inference(cnf_transformation,[],[f67]) ).
tcf(c_58,plain,
consecutive(thursday,friday),
inference(cnf_transformation,[],[f68]) ).
tcf(c_62,plain,
~ same_person(a,b),
inference(cnf_transformation,[],[f72]) ).
tcf(c_63,plain,
~ same_person(a,c),
inference(cnf_transformation,[],[f73]) ).
tcf(c_67,plain,
~ same_day(sunday,tuesday),
inference(cnf_transformation,[],[f77]) ).
tcf(c_69,plain,
~ same_day(sunday,thursday),
inference(cnf_transformation,[],[f79]) ).
tcf(c_78,plain,
~ same_day(tuesday,thursday),
inference(cnf_transformation,[],[f88]) ).
tcf(c_87,plain,
( all_on(saturday)
| all_on(sunday)
| all_on(friday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_88,plain,
! [X0_day: day,X0_person: person,X1_day: day,X2_day: day,X3_day: day] :
( ~ consecutive(X2_day,X1_day)
| ~ consecutive(X1_day,X3_day)
| ~ consecutive(X0_day,X2_day)
| ~ on(X0_person,X2_day)
| ~ on(X0_person,X1_day)
| ~ on(X0_person,X0_day) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_89,plain,
! [X0_day: day,X0_person: person,X1_day: day,X1_person: person] :
( same_person(X0_person,X1_person)
| same_day(X1_day,X0_day)
| on(X1_person,X1_day)
| on(X1_person,X0_day)
| on(X0_person,X1_day)
| on(X0_person,X0_day) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_90,plain,
~ on(a,sunday),
inference(cnf_transformation,[],[f100]) ).
tcf(c_91,plain,
~ on(a,tuesday),
inference(cnf_transformation,[],[f101]) ).
tcf(c_92,plain,
~ on(a,thursday),
inference(cnf_transformation,[],[f102]) ).
tcf(c_93,plain,
~ on(b,thursday),
inference(cnf_transformation,[],[f103]) ).
tcf(c_94,plain,
~ on(b,saturday),
inference(cnf_transformation,[],[f104]) ).
tcf(c_95,plain,
~ on(c,sunday),
inference(cnf_transformation,[],[f105]) ).
tcf(c_96,negated_conjecture,
~ all_on(friday),
inference(cnf_transformation,[],[f106]) ).
tcf(c_99,plain,
( on(c,sunday)
| ~ all_on(sunday) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_102,plain,
( all_on(saturday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday) ),
inference(global_subsumption_just,[status(thm)],[c_87,c_96,c_95,c_99,c_87]) ).
tcf(c_244,plain,
! [X0_day: day,X1_day: day] :
( on(b,X1_day)
| on(b,X0_day)
| on(a,X1_day)
| on(a,X0_day)
| same_day(X0_day,X1_day) ),
inference(resolution,[status(thm)],[c_62,c_89]) ).
tcf(c_260,plain,
! [X0_day: day,X1_day: day] :
( on(c,X1_day)
| on(c,X0_day)
| on(a,X1_day)
| on(a,X0_day)
| same_day(X0_day,X1_day) ),
inference(resolution,[status(thm)],[c_63,c_89]) ).
tcf(c_358,plain,
( on(c,sunday)
| on(c,tuesday)
| on(a,sunday)
| on(a,tuesday) ),
inference(resolution,[status(thm)],[c_260,c_67]) ).
tcf(c_417,plain,
( on(c,sunday)
| on(c,thursday)
| on(a,sunday)
| on(a,thursday) ),
inference(resolution,[status(thm)],[c_260,c_69]) ).
tcf(c_423,plain,
( on(b,sunday)
| on(b,thursday)
| on(a,sunday)
| on(a,thursday) ),
inference(resolution,[status(thm)],[c_244,c_69]) ).
tcf(c_597,plain,
( on(b,thursday)
| on(b,tuesday)
| on(a,thursday)
| on(a,tuesday) ),
inference(resolution,[status(thm)],[c_244,c_78]) ).
tcf(c_792,plain,
( on(b,thursday)
| ~ all_on(thursday) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_793,plain,
( on(b,saturday)
| ~ all_on(saturday) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_796,plain,
! [X0_day: day,X0_person: person,X1_day: day] :
( ~ consecutive(monday,tuesday)
| ~ consecutive(tuesday,X1_day)
| ~ consecutive(X0_day,monday)
| ~ on(X0_person,tuesday)
| ~ on(X0_person,monday)
| ~ on(X0_person,X0_day) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_798,plain,
! [X0_day: day,X0_person: person,X1_day: day] :
( ~ consecutive(wednesday,thursday)
| ~ consecutive(thursday,X1_day)
| ~ consecutive(X0_day,wednesday)
| ~ on(X0_person,thursday)
| ~ on(X0_person,wednesday)
| ~ on(X0_person,X0_day) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_803,plain,
( on(a,tuesday)
| ~ all_on(tuesday) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_808,plain,
! [X0_day: day,X0_person: person] :
( ~ consecutive(tuesday,wednesday)
| ~ consecutive(monday,tuesday)
| ~ consecutive(X0_day,monday)
| ~ on(X0_person,tuesday)
| ~ on(X0_person,monday)
| ~ on(X0_person,X0_day) ),
inference(instantiation,[status(thm)],[c_796]) ).
tcf(c_810,plain,
! [X0_day: day,X0_person: person] :
( ~ consecutive(thursday,friday)
| ~ consecutive(wednesday,thursday)
| ~ consecutive(X0_day,wednesday)
| ~ on(X0_person,thursday)
| ~ on(X0_person,wednesday)
| ~ on(X0_person,X0_day) ),
inference(instantiation,[status(thm)],[c_798]) ).
tcf(c_812,plain,
( on(c,wednesday)
| ~ all_on(wednesday) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_818,plain,
! [X0_person: person] :
( ~ consecutive(thursday,friday)
| ~ consecutive(wednesday,thursday)
| ~ consecutive(tuesday,wednesday)
| ~ on(X0_person,thursday)
| ~ on(X0_person,wednesday)
| ~ on(X0_person,tuesday) ),
inference(instantiation,[status(thm)],[c_810]) ).
tcf(c_823,plain,
! [X0_day: day] :
( ~ consecutive(tuesday,wednesday)
| ~ consecutive(monday,tuesday)
| ~ on(b,tuesday)
| ~ on(b,monday)
| ~ consecutive(X0_day,monday)
| ~ on(b,X0_day) ),
inference(instantiation,[status(thm)],[c_808]) ).
tcf(c_824,plain,
( ~ consecutive(sunday,monday)
| ~ consecutive(tuesday,wednesday)
| ~ consecutive(monday,tuesday)
| ~ on(b,sunday)
| ~ on(b,tuesday)
| ~ on(b,monday) ),
inference(instantiation,[status(thm)],[c_823]) ).
tcf(c_833,plain,
( ~ consecutive(thursday,friday)
| ~ consecutive(wednesday,thursday)
| ~ consecutive(tuesday,wednesday)
| ~ on(c,thursday)
| ~ on(c,wednesday)
| ~ on(c,tuesday) ),
inference(instantiation,[status(thm)],[c_818]) ).
tcf(c_841,plain,
( on(b,monday)
| ~ all_on(monday) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(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
% 0.00/0.02 % Problem : PUZ018_1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 06:33:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.93/1.28 % SZS status Started for theBenchmark.p
% 1.93/1.28 % SZS status Theorem for theBenchmark.p
% 1.93/1.28
% 1.93/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.93/1.28
% 1.93/1.28 % ------ iProver source info
% 1.93/1.28
% 1.93/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.93/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.93/1.28 % git: non_committed_changes: false
% 1.93/1.28
% 1.93/1.28 % ------ Parsing...
% 1.93/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.93/1.28 %
% 1.93/1.28
% 1.93/1.28 % ------ Preprocessing... pe_s pe:1:0s pe:2:0s pe_e %
% 1.93/1.28
% 1.93/1.28 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.93/1.28 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.93/1.28 % ------ Proving...
% 1.93/1.28 % ------ Problem Properties
% 1.93/1.28
% 1.93/1.28 %
% 1.93/1.28 % clauses 48
% 1.93/1.28 % conjectures 1
% 1.93/1.28 % EPR 48
% 1.93/1.28 % Horn 35
% 1.93/1.28 % unary 20
% 1.93/1.28 % binary 19
% 1.93/1.28 % lits 94
% 1.93/1.28 % lits eq 0
% 1.93/1.28 % fd_pure 0
% 1.93/1.28 % fd_pseudo 0
% 1.93/1.28 % fd_cond 0
% 1.93/1.28 % fd_pseudo_cond 0
% 1.93/1.28 % AC symbols 0
% 1.93/1.28
% 1.93/1.28 % ------ Schedule EPR non Horn non eq is on
% 1.93/1.28
% 1.93/1.28 % ------ no equalities: superposition off
% 1.93/1.28
% 1.93/1.28 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.93/1.28
% 1.93/1.28
% 1.93/1.28 % ------
% 1.93/1.28 % Current options:
% 1.93/1.28 % ------
% 1.93/1.28
% 1.93/1.28
% 1.93/1.28 %
% 1.93/1.28
% 1.93/1.28 % ------ Proving...
% 1.93/1.28 %
% 1.93/1.28
% 1.93/1.28 % SZS status Theorem for theBenchmark.p
% 1.93/1.28
% 1.93/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.93/1.28
% 1.93/1.28
%------------------------------------------------------------------------------