%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 02:32:39 PM UTC 2026
% Result : Theorem 2.26s 1.18s
% Output : CNFRefutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 8 unt; 0 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 209 ( 97 ~; 93 |; 6 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 67 ( 0 sgn 65 !; 2 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
thursday(a_thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday) ).
fof(f18,axiom,
! [X0] :
( thursday(X0)
=> wednesday(yesterday(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
fof(f24,axiom,
! [X0] :
( wednesday(X0)
=> lion_lies(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_wednesday) ).
fof(f25,axiom,
! [X0] :
( thursday(X0)
=> ~ lion_lies(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_does_not_lie_thursday) ).
fof(f31,axiom,
! [X0] :
( wednesday(X0)
=> ~ unicorn_lies(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_does_not_lie_wednesday) ).
fof(f32,axiom,
! [X0] :
( thursday(X0)
=> unicorn_lies(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_lies_thursday) ).
fof(f36,axiom,
! [X0] :
( lion_lies(X0)
=> day(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_on_a_day) ).
fof(f37,axiom,
! [X0] :
( unicorn_lies(X0)
=> day(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_lies_on_a_day) ).
fof(f40,axiom,
! [X0] :
( day(X0)
=> ! [X1] :
( day(X1)
=> ( ( ~ lies_on_one_of(a_lion,X0,X1)
& ~ lion_lies(X0) )
=> ~ lion_lies(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_on_neither) ).
fof(f45,axiom,
! [X0] :
( day(X0)
=> ! [X1] :
( day(X1)
=> ( ( ~ lies_on_one_of(a_unicorn,X0,X1)
& unicorn_lies(X0) )
=> unicorn_lies(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorn_lies_on_both) ).
fof(f46,conjecture,
? [X0] :
( lies_on_one_of(a_unicorn,X0,yesterday(X0))
& lies_on_one_of(a_lion,X0,yesterday(X0))
& day(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_are_close_lying_days) ).
fof(f47,negated_conjecture,
~ ? [X0] :
( lies_on_one_of(a_unicorn,X0,yesterday(X0))
& lies_on_one_of(a_lion,X0,yesterday(X0))
& day(X0) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f58,plain,
! [X0] :
( ~ thursday(X0)
| wednesday(yesterday(X0)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f64,plain,
! [X0] :
( ~ wednesday(X0)
| lion_lies(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f65,plain,
! [X0] :
( ~ thursday(X0)
| ~ lion_lies(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f71,plain,
! [X0] :
( ~ wednesday(X0)
| ~ unicorn_lies(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f72,plain,
! [X0] :
( ~ thursday(X0)
| unicorn_lies(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f76,plain,
! [X0] :
( ~ lion_lies(X0)
| day(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f77,plain,
! [X0] :
( ~ unicorn_lies(X0)
| day(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f82,plain,
! [X0] :
( ~ day(X0)
| ! [X1] :
( ~ day(X1)
| lies_on_one_of(a_lion,X0,X1)
| lion_lies(X0)
| ~ lion_lies(X1) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f83,plain,
! [X0] :
( ~ day(X0)
| ! [X1] :
( ~ day(X1)
| lies_on_one_of(a_lion,X0,X1)
| lion_lies(X0)
| ~ lion_lies(X1) ) ),
inference(flattening,[],[f82]) ).
fof(f92,plain,
! [X0] :
( ~ day(X0)
| ! [X1] :
( ~ day(X1)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ unicorn_lies(X0)
| unicorn_lies(X1) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f93,plain,
! [X0] :
( ~ day(X0)
| ! [X1] :
( ~ day(X1)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ unicorn_lies(X0)
| unicorn_lies(X1) ) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0] :
( ~ lies_on_one_of(a_unicorn,X0,yesterday(X0))
| ~ lies_on_one_of(a_lion,X0,yesterday(X0))
| ~ day(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f98,plain,
thursday(a_thursday),
inference(cnf_transformation,[],[f4]) ).
fof(f112,plain,
! [X0] :
( ~ thursday(X0)
| wednesday(yesterday(X0)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f118,plain,
! [X0] :
( ~ wednesday(X0)
| lion_lies(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f119,plain,
! [X0] :
( ~ thursday(X0)
| ~ lion_lies(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f125,plain,
! [X0] :
( ~ wednesday(X0)
| ~ unicorn_lies(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f126,plain,
! [X0] :
( ~ thursday(X0)
| unicorn_lies(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f130,plain,
! [X0] :
( ~ lion_lies(X0)
| day(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f131,plain,
! [X0] :
( ~ unicorn_lies(X0)
| day(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f134,plain,
! [X0,X1] :
( ~ day(X0)
| ~ day(X1)
| lies_on_one_of(a_lion,X0,X1)
| lion_lies(X0)
| ~ lion_lies(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f139,plain,
! [X0,X1] :
( ~ day(X0)
| ~ day(X1)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ unicorn_lies(X0)
| unicorn_lies(X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f140,plain,
! [X0] :
( ~ lies_on_one_of(a_unicorn,X0,yesterday(X0))
| ~ lies_on_one_of(a_lion,X0,yesterday(X0))
| ~ day(X0) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_52,plain,
thursday(a_thursday),
inference(cnf_transformation,[],[f98]) ).
tcf(c_66,plain,
! [X0: $i] :
( wednesday(yesterday(X0))
| ~ thursday(X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_72,plain,
! [X0: $i] :
( lion_lies(X0)
| ~ wednesday(X0) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_73,plain,
! [X0: $i] :
( ~ lion_lies(X0)
| ~ thursday(X0) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_79,plain,
! [X0: $i] :
( ~ unicorn_lies(X0)
| ~ wednesday(X0) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_80,plain,
! [X0: $i] :
( unicorn_lies(X0)
| ~ thursday(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_84,plain,
! [X0: $i] :
( day(X0)
| ~ lion_lies(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_85,plain,
! [X0: $i] :
( day(X0)
| ~ unicorn_lies(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( lion_lies(X0)
| lies_on_one_of(a_lion,X0,X1)
| ~ lion_lies(X1)
| ~ day(X1)
| ~ day(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( unicorn_lies(X1)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ unicorn_lies(X0)
| ~ day(X1)
| ~ day(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_94,negated_conjecture,
! [X0: $i] :
( ~ day(X0)
| ~ lies_on_one_of(a_unicorn,X0,yesterday(X0))
| ~ lies_on_one_of(a_lion,X0,yesterday(X0)) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( unicorn_lies(X1)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ unicorn_lies(X0)
| ~ day(X1) ),
inference(global_subsumption_just,[status(thm)],[c_93,c_85,c_93]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( unicorn_lies(X0)
| lies_on_one_of(a_unicorn,X1,X0)
| ~ unicorn_lies(X1)
| ~ day(X0) ),
inference(renaming,[status(thm)],[c_130]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i] :
( lion_lies(X0)
| lies_on_one_of(a_lion,X0,X1)
| ~ lion_lies(X1)
| ~ day(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_88,c_84]) ).
tcf(c_424,plain,
! [X0: $i] :
( ~ thursday(X0)
| ~ unicorn_lies(yesterday(X0)) ),
inference(resolution,[status(thm)],[c_79,c_66]) ).
tcf(c_432,plain,
! [X0: $i] :
( lion_lies(yesterday(X0))
| ~ thursday(X0) ),
inference(resolution,[status(thm)],[c_72,c_66]) ).
tcf(c_616,plain,
lion_lies(yesterday(a_thursday)),
inference(resolution,[status(thm)],[c_52,c_432]) ).
tcf(c_620,plain,
~ unicorn_lies(yesterday(a_thursday)),
inference(resolution,[status(thm)],[c_52,c_424]) ).
tcf(c_624,plain,
unicorn_lies(a_thursday),
inference(resolution,[status(thm)],[c_52,c_80]) ).
tcf(c_628,plain,
~ lion_lies(a_thursday),
inference(resolution,[status(thm)],[c_52,c_73]) ).
tcf(c_1048,negated_conjecture,
! [X0: $i] :
( ~ day(X0)
| ~ lies_on_one_of(a_unicorn,X0,yesterday(X0))
| ~ lies_on_one_of(a_lion,X0,yesterday(X0)) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_1897,plain,
! [X0: $i] :
( lion_lies(X0)
| ~ day(X0)
| ~ lion_lies(yesterday(X0))
| ~ lies_on_one_of(a_unicorn,X0,yesterday(X0)) ),
inference(superposition,[status(thm)],[c_209,c_1048]) ).
tcf(c_2862,plain,
! [X0: $i] :
( lion_lies(X0)
| unicorn_lies(yesterday(X0))
| ~ unicorn_lies(X0)
| ~ day(X0)
| ~ lion_lies(yesterday(X0))
| ~ day(yesterday(X0)) ),
inference(superposition,[status(thm)],[c_131,c_1897]) ).
tcf(c_3126,plain,
! [X0: $i] :
( lion_lies(X0)
| unicorn_lies(yesterday(X0))
| ~ unicorn_lies(X0)
| ~ day(yesterday(X0))
| ~ lion_lies(yesterday(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_2862,c_85,c_2862]) ).
tcf(c_3127,plain,
! [X0: $i] :
( lion_lies(X0)
| unicorn_lies(yesterday(X0))
| ~ unicorn_lies(X0)
| ~ lion_lies(yesterday(X0))
| ~ day(yesterday(X0)) ),
inference(renaming,[status(thm)],[c_3126]) ).
tcf(c_3134,plain,
! [X0: $i] :
( lion_lies(X0)
| unicorn_lies(yesterday(X0))
| ~ unicorn_lies(X0)
| ~ lion_lies(yesterday(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3127,c_84]) ).
tcf(c_3147,plain,
( lion_lies(a_thursday)
| unicorn_lies(yesterday(a_thursday))
| ~ unicorn_lies(a_thursday) ),
inference(superposition,[status(thm)],[c_616,c_3134]) ).
tcf(c_3159,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3147,c_628,c_620,c_624]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 06:36:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 2.26/1.18 % SZS status Started for theBenchmark.p
% 2.26/1.18 % SZS status Theorem for theBenchmark.p
% 2.26/1.18
% 2.26/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.26/1.18
% 2.26/1.18 % ------ iProver source info
% 2.26/1.18
% 2.26/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 2.26/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.26/1.18 % git: non_committed_changes: false
% 2.26/1.18
% 2.26/1.18 % ------ Parsing...
% 2.26/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.26/1.18
% 2.26/1.18 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e %
% 2.26/1.18
% 2.26/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.26/1.18 % ------ Proving...
% 2.26/1.18 % ------ Problem Properties
% 2.26/1.18
% 2.26/1.18 %
% 2.26/1.18 % clauses 103
% 2.26/1.18 % conjectures 1
% 2.26/1.18 % EPR 32
% 2.26/1.18 % Horn 97
% 2.26/1.18 % unary 70
% 2.26/1.18 % binary 24
% 2.26/1.18 % lits 153
% 2.26/1.18 % lits eq 0
% 2.26/1.18 % fd_pure 0
% 2.26/1.18 % fd_pseudo 0
% 2.26/1.18 % fd_cond 0
% 2.26/1.18 % fd_pseudo_cond 0
% 2.26/1.18 % AC symbols 0
% 2.26/1.18
% 2.26/1.18 % ------ Schedule dynamic 5 is on
% 2.26/1.18
% 2.26/1.18 % ------ no equalities: superposition off
% 2.26/1.18
% 2.26/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.26/1.18
% 2.26/1.18
% 2.26/1.18 % ------
% 2.26/1.18 % Current options:
% 2.26/1.18 % ------
% 2.26/1.18
% 2.26/1.18
% 2.26/1.18 %
% 2.26/1.18
% 2.26/1.18 % ------ Proving...
% 2.26/1.18 %
% 2.26/1.18
% 2.26/1.18 % SZS status Theorem for theBenchmark.p
% 2.26/1.18
% 2.26/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.26/1.18
% 2.26/1.18
%------------------------------------------------------------------------------