%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 02:32:40 PM UTC 2026
% Result : Unsatisfiable 2.14s 1.31s
% Output : CNFRefutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 26 ( 22 unt; 9 def)
% Number of atoms : 61 ( 9 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 10 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X0,X1] :
( achievable(west(m(X0),c(s(X1))),boatonwest,east(m(X2),c(X3)))
| ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(X2),c(s(X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cannibal_east_to_west) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3))))
| ~ achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(X2),c(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',missionary_and_cannibal_west_to_east) ).
fof(f13,axiom,
! [X2,X3,X0,X1] : achievable(west(X0,X1),X2,east(m(s(X3)),c(s(s(X3))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extra_cannibal_meal_on_east_bank) ).
fof(f16,negated_conjecture,
! [X0] : ~ achievable(west(m(n0),c(n0)),X0,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_can_get_to_east_bank) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( achievable(west(m(X0),c(s(X1))),boatonwest,east(m(X2),c(X3)))
| ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(X2),c(s(X3)))) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3))))
| ~ achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(X2),c(X3))) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : achievable(west(X0,X1),X2,east(m(s(X3)),c(s(s(X3))))),
inference(cnf_transformation,[],[f13]) ).
tcf(c_80,negated_conjecture,
! [X0: $i] : ~ achievable(west(m(n0),c(n0)),X0,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
inference(cnf_transformation,[],[f16]) ).
tcf(c_204,definition,
iPr_def_10 = m(n0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_205,definition,
iPr_def_11 = c(n0),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_206,definition,
iPr_def_12 = west(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_207,definition,
iPr_def_13 = s(n0),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_208,definition,
iPr_def_14 = s(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_209,definition,
iPr_def_15 = s(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_210,definition,
iPr_def_16 = m(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_211,definition,
iPr_def_17 = c(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_212,definition,
iPr_def_18 = east(iPr_def_16,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_213,negated_conjecture,
! [X0: $i] : ~ achievable(iPr_def_12,X0,iPr_def_18),
inference(demodulation,[status(thm)],[c_80,c_211,c_207,c_208,c_209,c_210,c_212,c_205,c_204,c_206]) ).
tcf(c_788,plain,
! [X0: $i,X1: $i,X2: $i] : achievable(west(m(X0),c(s(X1))),boatonwest,east(m(s(X2)),c(s(X2)))),
inference(superposition,[status(thm)],[c_77,c_66]) ).
tcf(c_3535,plain,
! [X0: $i,X1: $i] : achievable(west(m(X0),c(s(X1))),boatonwest,east(m(iPr_def_14),c(iPr_def_14))),
inference(superposition,[status(thm)],[c_208,c_788]) ).
tcf(c_4108,plain,
! [X0: $i,X1: $i] : achievable(west(m(X0),c(X1)),boatoneast,east(m(s(iPr_def_14)),c(s(iPr_def_14)))),
inference(superposition,[status(thm)],[c_3535,c_73]) ).
tcf(c_4111,plain,
! [X0: $i,X1: $i] : achievable(west(m(X0),c(X1)),boatoneast,iPr_def_18),
inference(light_normalisation,[status(thm)],[c_4108,c_209,c_210,c_211,c_212]) ).
tcf(c_4122,plain,
! [X0: $i] : achievable(west(iPr_def_10,c(X0)),boatoneast,iPr_def_18),
inference(superposition,[status(thm)],[c_204,c_4111]) ).
tcf(c_4130,plain,
achievable(west(iPr_def_10,iPr_def_11),boatoneast,iPr_def_18),
inference(superposition,[status(thm)],[c_205,c_4122]) ).
tcf(c_4132,plain,
achievable(iPr_def_12,boatoneast,iPr_def_18),
inference(light_normalisation,[status(thm)],[c_4130,c_206]) ).
tcf(c_4133,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4132,c_213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 06:31:46 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 2.14/1.31 % SZS status Started for theBenchmark.p
% 2.14/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 2.14/1.31
% 2.14/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.14/1.31
% 2.14/1.31 % ------ iProver source info
% 2.14/1.31
% 2.14/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 2.14/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.14/1.31 % git: non_committed_changes: false
% 2.14/1.31
% 2.14/1.31 % ------ Parsing...% successful
% 2.14/1.31
% 2.14/1.31
% 2.14/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.14/1.31
% 2.14/1.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.14/1.31
% 2.14/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.14/1.31
% 2.14/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.14/1.31 % ------ Proving...
% 2.14/1.31 % ------ Problem Properties
% 2.14/1.31
% 2.14/1.31 %
% 2.14/1.31 % clauses 25
% 2.14/1.31 % conjectures 1
% 2.14/1.31 % EPR 1
% 2.14/1.31 % Horn 25
% 2.14/1.31 % unary 15
% 2.14/1.31 % binary 10
% 2.14/1.31 % lits 35
% 2.14/1.31 % lits eq 9
% 2.14/1.31 % fd_pure 0
% 2.14/1.31 % fd_pseudo 0
% 2.14/1.31 % fd_cond 0
% 2.14/1.31 % fd_pseudo_cond 0
% 2.14/1.31 % AC symbols 0
% 2.14/1.31
% 2.14/1.31 % ------ Schedule dynamic 5 is on
% 2.14/1.31
% 2.14/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.14/1.31
% 2.14/1.31
% 2.14/1.31 % ------
% 2.14/1.31 % Current options:
% 2.14/1.31 % ------
% 2.14/1.31
% 2.14/1.31
% 2.14/1.31 %
% 2.14/1.31
% 2.14/1.31 % ------ Proving...
% 2.14/1.31 %
% 2.14/1.31
% 2.14/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 2.14/1.31
% 2.14/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.14/1.31
% 2.14/1.31
%------------------------------------------------------------------------------