%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 02:32:52 PM UTC 2026
% Result : Theorem 1.60s 1.42s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 164 ( 48 ~; 41 |; 57 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 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 : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 98 ( 0 sgn 83 !; 15 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) )
& ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& alive(X2)
& eats(X2,X0)
& ! [X6] :
( ? [X7] :
( not_killed_by(X7,X6)
& eats(X7,X6) )
=> food(X6) )
& food(X5)
& food(X4)
& ! [X6] :
( food(X6)
=> likes(X1,X6) )
& ! [X6,X7] :
( ( eats(X7,X5)
& alive(X7) )
=> likes(X7,X6) ) )
=> likes(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) )
& ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& alive(X2)
& eats(X2,X0)
& ! [X6] :
( ? [X7] :
( not_killed_by(X7,X6)
& eats(X7,X6) )
=> food(X6) )
& food(X5)
& food(X4)
& ! [X6] :
( food(X6)
=> likes(X1,X6) )
& ! [X6,X7] :
( ( eats(X7,X5)
& alive(X7) )
=> likes(X7,X6) ) )
=> likes(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ! [X12] :
( alive(X12)
=> ! [X13] : not_killed_by(X12,X13) )
& ! [X11] :
( eats(X2,X11)
=> eats(X3,X11) )
& alive(X2)
& eats(X2,X0)
& ! [X9] :
( ? [X10] :
( not_killed_by(X10,X9)
& eats(X10,X9) )
=> food(X9) )
& food(X5)
& food(X4)
& ! [X8] :
( food(X8)
=> likes(X1,X8) )
& ! [X6,X7] :
( ( eats(X7,X5)
& alive(X7) )
=> likes(X7,X6) ) )
=> likes(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0,X1,X2,X3,X4,X5] :
( ! [X12] :
( ~ alive(X12)
| ! [X13] : not_killed_by(X12,X13) )
& ! [X11] :
( ~ eats(X2,X11)
| eats(X3,X11) )
& alive(X2)
& eats(X2,X0)
& ! [X9] :
( ! [X10] :
( ~ not_killed_by(X10,X9)
| ~ eats(X10,X9) )
| food(X9) )
& food(X5)
& food(X4)
& ! [X8] :
( ~ food(X8)
| likes(X1,X8) )
& ! [X6,X7] :
( ~ eats(X7,X5)
| ~ alive(X7)
| likes(X7,X6) )
& ~ likes(X1,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
? [X0,X1,X2,X3,X4,X5] :
( ! [X12] :
( ~ alive(X12)
| ! [X13] : not_killed_by(X12,X13) )
& ! [X11] :
( ~ eats(X2,X11)
| eats(X3,X11) )
& alive(X2)
& eats(X2,X0)
& ! [X9] :
( ! [X10] :
( ~ not_killed_by(X10,X9)
| ~ eats(X10,X9) )
| food(X9) )
& food(X5)
& food(X4)
& ! [X8] :
( ~ food(X8)
| likes(X1,X8) )
& ! [X6,X7] :
( ~ eats(X7,X5)
| ~ alive(X7)
| likes(X7,X6) )
& ~ likes(X1,X0) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ! [X12] :
( ~ alive(X12)
| ! [X13] : not_killed_by(X12,X13) )
& ! [X11] :
( ~ eats(sK2,X11)
| eats(sK3,X11) )
& alive(sK2)
& eats(sK2,sK0)
& ! [X9] :
( ! [X10] :
( ~ not_killed_by(X10,X9)
| ~ eats(X10,X9) )
| food(X9) )
& food(sK5)
& food(sK4)
& ! [X8] :
( ~ food(X8)
| likes(sK1,X8) )
& ! [X6,X7] :
( ~ eats(X7,sK5)
| ~ alive(X7)
| likes(X7,X6) )
& ~ likes(sK1,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f5]) ).
fof(f7,plain,
! [X12,X13] :
( ~ alive(X12)
| not_killed_by(X12,X13) ),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
alive(sK2),
inference(cnf_transformation,[],[f6]) ).
fof(f10,plain,
eats(sK2,sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f11,plain,
! [X10,X9] :
( ~ not_killed_by(X10,X9)
| ~ eats(X10,X9)
| food(X9) ),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
! [X8] :
( ~ food(X8)
| likes(sK1,X8) ),
inference(cnf_transformation,[],[f6]) ).
fof(f16,plain,
~ likes(sK1,sK0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_49,negated_conjecture,
~ likes(sK1,sK0),
inference(cnf_transformation,[],[f16]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( likes(sK1,X0)
| ~ food(X0) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_54,negated_conjecture,
! [X0: $i,X1: $i] :
( food(X1)
| ~ not_killed_by(X0,X1)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_55,negated_conjecture,
eats(sK2,sK0),
inference(cnf_transformation,[],[f10]) ).
tcf(c_56,negated_conjecture,
alive(sK2),
inference(cnf_transformation,[],[f9]) ).
tcf(c_58,negated_conjecture,
! [X0: $i,X1: $i] :
( not_killed_by(X0,X1)
| ~ alive(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,negated_conjecture,
! [X0_iProver_not_killed_by_1: iProver_not_killed_by_1,X0_iProver_eats_2: iProver_eats_2] :
( not_killed_by(X0_iProver_not_killed_by_1,X0_iProver_eats_2)
| ~ alive(X0_iProver_not_killed_by_1) ),
inference(subtyping,[status(esa)],[c_58]) ).
tcf(c_68,negated_conjecture,
! [X0_iProver_not_killed_by_1: iProver_not_killed_by_1,X0_iProver_eats_2: iProver_eats_2] :
( food(X0_iProver_eats_2)
| ~ not_killed_by(X0_iProver_not_killed_by_1,X0_iProver_eats_2)
| ~ eats(X0_iProver_not_killed_by_1,X0_iProver_eats_2) ),
inference(subtyping,[status(esa)],[c_54]) ).
tcf(c_71,negated_conjecture,
! [X0_iProver_eats_2: iProver_eats_2] :
( likes(sK1,X0_iProver_eats_2)
| ~ food(X0_iProver_eats_2) ),
inference(subtyping,[status(esa)],[c_51]) ).
tcf(c_76,negated_conjecture,
! [X0_iProver_eats_2: iProver_eats_2] :
( likes(sK1,X0_iProver_eats_2)
| ~ food(X0_iProver_eats_2) ),
inference(demodulation,[status(thm)],[c_71]) ).
tcf(c_79,negated_conjecture,
! [X0_iProver_not_killed_by_1: iProver_not_killed_by_1,X0_iProver_eats_2: iProver_eats_2] :
( food(X0_iProver_eats_2)
| ~ not_killed_by(X0_iProver_not_killed_by_1,X0_iProver_eats_2)
| ~ eats(X0_iProver_not_killed_by_1,X0_iProver_eats_2) ),
inference(demodulation,[status(thm)],[c_68]) ).
tcf(c_83,negated_conjecture,
! [X0_iProver_not_killed_by_1: iProver_not_killed_by_1,X0_iProver_eats_2: iProver_eats_2] :
( not_killed_by(X0_iProver_not_killed_by_1,X0_iProver_eats_2)
| ~ alive(X0_iProver_not_killed_by_1) ),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_84,plain,
( not_killed_by(sK2,sK0)
| ~ alive(sK2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_85,plain,
( likes(sK1,sK0)
| ~ food(sK0) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_87,plain,
( food(sK0)
| ~ not_killed_by(sK2,sK0)
| ~ eats(sK2,sK0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_88,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_87,c_85,c_84,c_49,c_55,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 06:51:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 1.60/1.42 % SZS status Started for theBenchmark.p
% 1.60/1.42 % SZS status Theorem for theBenchmark.p
% 1.60/1.42
% 1.60/1.42 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.60/1.42
% 1.60/1.42 % ------ iProver source info
% 1.60/1.42
% 1.60/1.42 % git: date: 2026-07-19 20:42:38 +0200
% 1.60/1.42 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.60/1.42 % git: non_committed_changes: false
% 1.60/1.42
% 1.60/1.42 % ------ Parsing...
% 1.60/1.42 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.60/1.42 %
% 1.60/1.42
% 1.60/1.42 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 1.60/1.42
% 1.60/1.42 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.60/1.42 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.60/1.42 % ------ Proving...
% 1.60/1.42 % ------ Problem Properties
% 1.60/1.42
% 1.60/1.42 %
% 1.60/1.42 % clauses 10
% 1.60/1.42 % conjectures 10
% 1.60/1.42 % EPR 10
% 1.60/1.42 % Horn 10
% 1.60/1.42 % unary 5
% 1.60/1.42 % binary 3
% 1.60/1.42 % lits 17
% 1.60/1.42 % lits eq 0
% 1.60/1.42 % fd_pure 0
% 1.60/1.42 % fd_pseudo 0
% 1.60/1.42 % fd_cond 0
% 1.60/1.42 % fd_pseudo_cond 0
% 1.60/1.42 % AC symbols 0
% 1.60/1.42
% 1.60/1.42 % ------ Schedule EPR Horn non eq is on
% 1.60/1.42
% 1.60/1.42 % ------ no equalities: superposition off
% 1.60/1.42
% 1.60/1.42 % ------ Option_epr_horn Time Limit: Unbounded
% 1.60/1.42
% 1.60/1.42
% 1.60/1.42 % ------
% 1.60/1.42 % Current options:
% 1.60/1.42 % ------
% 1.60/1.42
% 1.60/1.42
% 1.60/1.42 %
% 1.60/1.42
% 1.60/1.42 % ------ Proving...
% 1.60/1.42 %
% 1.60/1.42
% 1.60/1.42 % SZS status Theorem for theBenchmark.p
% 1.60/1.42
% 1.60/1.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.60/1.42
% 1.60/1.42
%------------------------------------------------------------------------------