%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ018-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 : Unsatisfiable 2.05s 6.23s
% Output : CNFRefutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 23
% Syntax : Number of formulae : 69 ( 35 unt; 0 def)
% Number of atoms : 181 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 208 ( 96 ~; 112 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( on(a,X0)
| ~ all_on(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_a_on) ).
fof(f2,axiom,
! [X0] :
( on(b,X0)
| ~ all_on(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_b_on) ).
fof(f3,axiom,
! [X0] :
( on(c,X0)
| ~ all_on(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_c_on) ).
fof(f6,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_follows_sunday) ).
fof(f7,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_follows_monday) ).
fof(f8,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
fof(f9,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
fof(f10,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_follows_thursday) ).
fof(f14,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_b) ).
fof(f15,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
fof(f19,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_tuesday) ).
fof(f21,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_thursday) ).
fof(f30,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_thursday) ).
fof(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) ).
fof(f40,axiom,
! [X2,X3,X0,X1,X4] :
( ~ 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) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( 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) ).
fof(f42,axiom,
~ on(a,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_sunday) ).
fof(f43,axiom,
~ on(a,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_tuesday) ).
fof(f44,axiom,
~ on(a,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_thursday) ).
fof(f45,axiom,
~ on(b,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_thursday) ).
fof(f46,axiom,
~ on(b,saturday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_saturday) ).
fof(f47,axiom,
~ on(c,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_off_sunday) ).
fof(f48,negated_conjecture,
~ all_on(friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_on_friday) ).
tcf(c_97,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]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ consecutive(X3,X4)
| ~ consecutive(X2,X3)
| ~ consecutive(X1,X2)
| ~ on(X0,X3)
| ~ on(X0,X2)
| ~ on(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( same_person(X0,X3)
| same_day(X1,X2)
| on(X3,X2)
| on(X3,X1)
| on(X0,X2)
| on(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_100,plain,
~ on(a,sunday),
inference(cnf_transformation,[],[f42]) ).
tcf(c_101,plain,
~ on(a,tuesday),
inference(cnf_transformation,[],[f43]) ).
tcf(c_102,plain,
~ on(a,thursday),
inference(cnf_transformation,[],[f44]) ).
tcf(c_103,plain,
~ on(b,thursday),
inference(cnf_transformation,[],[f45]) ).
tcf(c_104,plain,
~ on(b,saturday),
inference(cnf_transformation,[],[f46]) ).
tcf(c_105,plain,
~ on(c,sunday),
inference(cnf_transformation,[],[f47]) ).
tcf(c_106,negated_conjecture,
~ all_on(friday),
inference(cnf_transformation,[],[f48]) ).
tcf(c_109,plain,
! [X0: $i] :
( on(c,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_110,plain,
! [X0: $i] :
( on(b,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_111,plain,
! [X0: $i] :
( on(a,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_114,plain,
~ same_day(sunday,thursday),
inference(cnf_transformation,[],[f21]) ).
tcf(c_116,plain,
~ same_day(sunday,tuesday),
inference(cnf_transformation,[],[f19]) ).
tcf(c_119,plain,
consecutive(sunday,monday),
inference(cnf_transformation,[],[f6]) ).
tcf(c_125,plain,
consecutive(monday,tuesday),
inference(cnf_transformation,[],[f7]) ).
tcf(c_128,plain,
~ same_day(tuesday,thursday),
inference(cnf_transformation,[],[f30]) ).
tcf(c_130,plain,
consecutive(tuesday,wednesday),
inference(cnf_transformation,[],[f8]) ).
tcf(c_134,plain,
consecutive(wednesday,thursday),
inference(cnf_transformation,[],[f9]) ).
tcf(c_137,plain,
consecutive(thursday,friday),
inference(cnf_transformation,[],[f10]) ).
tcf(c_142,plain,
~ same_person(a,c),
inference(cnf_transformation,[],[f15]) ).
tcf(c_143,plain,
~ same_person(a,b),
inference(cnf_transformation,[],[f14]) ).
tcf(c_147,plain,
( on(a,sunday)
| ~ all_on(sunday) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_151,plain,
( all_on(saturday)
| all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday) ),
inference(global_subsumption_just,[status(thm)],[c_97,c_106,c_100,c_147,c_97]) ).
tcf(c_152,plain,
( all_on(saturday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday) ),
inference(renaming,[status(thm)],[c_151]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i] :
( on(b,X1)
| on(b,X0)
| on(a,X1)
| on(a,X0)
| same_day(X0,X1) ),
inference(resolution,[status(thm)],[c_143,c_99]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i] :
( on(c,X1)
| on(c,X0)
| on(a,X1)
| on(a,X0)
| same_day(X0,X1) ),
inference(resolution,[status(thm)],[c_142,c_99]) ).
tcf(c_407,plain,
( on(c,tuesday)
| on(c,sunday)
| on(a,tuesday)
| on(a,sunday) ),
inference(resolution,[status(thm)],[c_309,c_116]) ).
tcf(c_466,plain,
( on(c,thursday)
| on(c,sunday)
| on(a,thursday)
| on(a,sunday) ),
inference(resolution,[status(thm)],[c_309,c_114]) ).
tcf(c_472,plain,
( on(b,thursday)
| on(b,sunday)
| on(a,thursday)
| on(a,sunday) ),
inference(resolution,[status(thm)],[c_293,c_114]) ).
tcf(c_646,plain,
( on(b,thursday)
| on(b,tuesday)
| on(a,thursday)
| on(a,tuesday) ),
inference(resolution,[status(thm)],[c_293,c_128]) ).
tcf(c_840,plain,
( on(b,thursday)
| ~ all_on(thursday) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_841,plain,
( on(b,saturday)
| ~ all_on(saturday) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_845,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ consecutive(tuesday,wednesday)
| ~ consecutive(X2,tuesday)
| ~ on(X0,tuesday)
| ~ consecutive(X1,X2)
| ~ on(X0,X2)
| ~ on(X0,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_847,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ consecutive(thursday,friday)
| ~ consecutive(X2,thursday)
| ~ on(X0,thursday)
| ~ consecutive(X1,X2)
| ~ on(X0,X2)
| ~ on(X0,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_850,plain,
( on(a,tuesday)
| ~ all_on(tuesday) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_853,plain,
! [X0: $i,X1: $i] :
( ~ consecutive(thursday,friday)
| ~ consecutive(wednesday,thursday)
| ~ consecutive(X1,wednesday)
| ~ on(X0,thursday)
| ~ on(X0,wednesday)
| ~ on(X0,X1) ),
inference(instantiation,[status(thm)],[c_847]) ).
tcf(c_873,plain,
! [X0: $i,X1: $i] :
( ~ consecutive(tuesday,wednesday)
| ~ consecutive(monday,tuesday)
| ~ consecutive(X1,monday)
| ~ on(X0,tuesday)
| ~ on(X0,monday)
| ~ on(X0,X1) ),
inference(instantiation,[status(thm)],[c_845]) ).
tcf(c_880,plain,
( on(c,wednesday)
| ~ all_on(wednesday) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_881,plain,
! [X0: $i] :
( ~ consecutive(thursday,friday)
| ~ consecutive(wednesday,thursday)
| ~ consecutive(tuesday,wednesday)
| ~ on(X0,thursday)
| ~ on(X0,wednesday)
| ~ on(X0,tuesday) ),
inference(instantiation,[status(thm)],[c_853]) ).
tcf(c_894,plain,
! [X0: $i] :
( ~ consecutive(tuesday,wednesday)
| ~ consecutive(monday,tuesday)
| ~ on(b,tuesday)
| ~ on(b,monday)
| ~ consecutive(X0,monday)
| ~ on(b,X0) ),
inference(instantiation,[status(thm)],[c_873]) ).
tcf(c_895,plain,
( ~ consecutive(tuesday,wednesday)
| ~ consecutive(monday,tuesday)
| ~ consecutive(sunday,monday)
| ~ on(b,tuesday)
| ~ on(b,monday)
| ~ on(b,sunday) ),
inference(instantiation,[status(thm)],[c_894]) ).
tcf(c_902,plain,
( ~ consecutive(thursday,friday)
| ~ consecutive(wednesday,thursday)
| ~ consecutive(tuesday,wednesday)
| ~ on(c,thursday)
| ~ on(c,wednesday)
| ~ on(c,tuesday) ),
inference(instantiation,[status(thm)],[c_881]) ).
tcf(c_914,plain,
( on(b,monday)
| ~ all_on(monday) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_915,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_914,c_902,c_895,c_880,c_850,c_841,c_840,c_646,c_472,c_466,c_407,c_152,c_100,c_101,c_102,c_103,c_104,c_105,c_119,c_125,c_130,c_134,c_137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ018-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n020.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Thu Sep 24 06:39:09 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running EPR theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 2.05/6.23 % SZS status Started for theBenchmark.p
% 2.05/6.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.05/6.23
% 2.05/6.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.05/6.23
% 2.05/6.23 % ------ iProver source info
% 2.05/6.23
% 2.05/6.23 % git: date: 2026-07-19 20:42:38 +0200
% 2.05/6.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.05/6.23 % git: non_committed_changes: false
% 2.05/6.23
% 2.05/6.23 % ------ Parsing...% successful
% 2.05/6.23
% 2.05/6.23
% 2.05/6.23 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.05/6.23 %
% 2.05/6.23
% 2.05/6.23 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e %
% 2.05/6.23
% 2.05/6.23 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.05/6.23 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.05/6.23 % ------ Proving...
% 2.05/6.23 % ------ Problem Properties
% 2.05/6.23
% 2.05/6.23 %
% 2.05/6.23 % clauses 48
% 2.05/6.23 % conjectures 1
% 2.05/6.23 % EPR 48
% 2.05/6.23 % Horn 35
% 2.05/6.23 % unary 20
% 2.05/6.23 % binary 19
% 2.05/6.23 % lits 94
% 2.05/6.23 % lits eq 0
% 2.05/6.23 % fd_pure 0
% 2.05/6.23 % fd_pseudo 0
% 2.05/6.23 % fd_cond 0
% 2.05/6.23 % fd_pseudo_cond 0
% 2.05/6.23 % AC symbols 0
% 2.05/6.23
% 2.05/6.23 % ------ Schedule EPR non Horn non eq is on
% 2.05/6.23
% 2.05/6.23 % ------ no equalities: superposition off
% 2.05/6.23
% 2.05/6.23 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.05/6.23
% 2.05/6.23
% 2.05/6.23 % ------
% 2.05/6.23 % Current options:
% 2.05/6.23 % ------
% 2.05/6.23
% 2.05/6.23
% 2.05/6.23 %
% 2.05/6.23
% 2.05/6.23 % ------ Proving...
% 2.05/6.23 %
% 2.05/6.23
% 2.05/6.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.05/6.23
% 2.05/6.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.05/6.23
% 2.05/6.23
%------------------------------------------------------------------------------