%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ008-3 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 2.44s 6.29s
% Output : CNFRefutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 12
% Syntax : Number of formulae : 91 ( 16 unt; 0 def)
% Number of atoms : 300 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 435 ( 226 ~; 209 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : safe(n0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_missionaries_is_safe) ).
fof(f2,axiom,
! [X0,X1] :
( safe(X0,X1)
| ~ greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_or_more_missionaries_is_safe) ).
fof(f3,axiom,
! [X0] : greater_or_equal(X0,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',great_eq_base) ).
fof(f4,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater_or_equal(s(X0),s(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',great_eq_recursive) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( achievable(west(m(X0),c(s(X1))),boatonwest,east(m(X2),c(X3)))
| ~ safe(X2,X3)
| ~ safe(X0,s(X1))
| ~ 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(f7,axiom,
! [X2,X3,X0,X1] :
( achievable(west(m(X0),c(X1)),boatoneast,east(m(X2),c(s(s(X3)))))
| ~ safe(X2,s(s(X3)))
| ~ safe(X0,X1)
| ~ achievable(west(m(X0),c(s(s(X1)))),boatonwest,east(m(X2),c(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_cannibals_west_to_east) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( achievable(west(m(s(X0)),c(X1)),boatonwest,east(m(X2),c(X3)))
| ~ safe(X2,X3)
| ~ safe(s(X0),X1)
| ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',missionary_east_to_west) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( achievable(west(m(X0),c(X1)),boatoneast,east(m(s(s(X2))),c(X3)))
| ~ safe(s(s(X2)),X3)
| ~ safe(X0,X1)
| ~ achievable(west(m(s(s(X0))),c(X1)),boatonwest,east(m(X2),c(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_missionaries_west_to_east) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3))))
| ~ safe(s(X2),s(X3))
| ~ safe(X0,X1)
| ~ 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(f14,axiom,
! [X2,X3,X0,X1] :
( achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(X2),c(X3)))
| ~ safe(X2,X3)
| ~ safe(s(X0),s(X1))
| ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',missionary_and_cannibal_east_to_west) ).
fof(f15,axiom,
achievable(west(m(s(s(s(n0)))),c(s(s(s(n0))))),boatonwest,east(m(n0),c(n0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_on_west_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_65,plain,
achievable(west(m(s(s(s(n0)))),c(s(s(s(n0))))),boatonwest,east(m(n0),c(n0))),
inference(cnf_transformation,[],[f15]) ).
tcf(c_66,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_67,plain,
! [X0: $i] : greater_or_equal(X0,n0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_68,plain,
! [X0: $i] : safe(n0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(X2),c(X3)))
| ~ safe(X2,X3)
| ~ safe(s(X0),s(X1))
| ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3)))) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3))))
| ~ safe(X0,X1)
| ~ safe(s(X2),s(X3))
| ~ achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(X2),c(X3))) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( achievable(west(m(X0),c(X1)),boatoneast,east(m(s(s(X2))),c(X3)))
| ~ safe(X0,X1)
| ~ safe(s(s(X2)),X3)
| ~ achievable(west(m(s(s(X0))),c(X1)),boatonwest,east(m(X2),c(X3))) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( achievable(west(m(s(X0)),c(X1)),boatonwest,east(m(X2),c(X3)))
| ~ safe(X2,X3)
| ~ safe(s(X0),X1)
| ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(X3))) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( achievable(west(m(X0),c(X1)),boatoneast,east(m(X2),c(s(s(X3)))))
| ~ safe(X0,X1)
| ~ safe(X2,s(s(X3)))
| ~ achievable(west(m(X0),c(s(s(X1)))),boatonwest,east(m(X2),c(X3))) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( achievable(west(m(X0),c(s(X1))),boatonwest,east(m(X2),c(X3)))
| ~ safe(X2,X3)
| ~ safe(X0,s(X1))
| ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(X2),c(s(X3)))) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(s(X0),s(X1))
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( safe(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_192,plain,
! [X0: $i] :
( greater_or_equal(s(X0),s(n0))
| ~ greater_or_equal(X0,n0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_216,plain,
! [X0: $i] :
( safe(s(X0),s(n0))
| ~ greater_or_equal(s(X0),s(n0)) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_319,plain,
! [X0: $i] :
( safe(s(s(X0)),s(n0))
| ~ greater_or_equal(s(s(X0)),s(n0)) ),
inference(instantiation,[status(thm)],[c_216]) ).
tcf(c_390,plain,
! [X0: $i] : safe(X0,n0),
inference(superposition,[status(thm)],[c_67,c_80]) ).
tcf(c_394,plain,
! [X0: $i] : safe(X0,n0),
inference(superposition,[status(thm)],[c_67,c_80]) ).
tcf(c_416,plain,
! [X0: $i,X1: $i] :
( safe(s(X0),s(X1))
| ~ greater_or_equal(X0,X1) ),
inference(superposition,[status(thm)],[c_79,c_80]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] :
( safe(s(X0),s(X1))
| ~ greater_or_equal(X0,X1) ),
inference(superposition,[status(thm)],[c_79,c_80]) ).
tcf(c_436,plain,
! [X0: $i] : greater_or_equal(s(s(X0)),n0),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_550,plain,
! [X0: $i] :
( greater_or_equal(s(s(X0)),s(n0))
| ~ greater_or_equal(s(X0),n0) ),
inference(instantiation,[status(thm)],[c_192]) ).
tcf(c_1001,plain,
( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0)))))
| ~ safe(n0,s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0)) ),
inference(superposition,[status(thm)],[c_65,c_76]) ).
tcf(c_1004,plain,
( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0)))))
| ~ safe(s(s(s(n0))),s(n0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1001,c_68]) ).
tcf(c_1025,plain,
( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0)))))
| ~ safe(n0,s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0)) ),
inference(superposition,[status(thm)],[c_65,c_76]) ).
tcf(c_1028,plain,
( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0)))))
| ~ safe(s(s(s(n0))),s(n0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1025,c_68]) ).
tcf(c_1242,plain,
( achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatonwest,east(m(n0),c(s(n0))))
| ~ safe(n0,s(n0))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_1004,c_77]) ).
tcf(c_1244,plain,
( achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatonwest,east(m(n0),c(s(n0))))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1242,c_68]) ).
tcf(c_1252,plain,
( achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatonwest,east(m(n0),c(s(n0))))
| ~ safe(n0,s(n0))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_1028,c_77]) ).
tcf(c_1254,plain,
( achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatonwest,east(m(n0),c(s(n0))))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1252,c_68]) ).
tcf(c_1265,plain,
( achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))
| ~ safe(n0,s(s(s(n0))))
| ~ safe(s(s(s(n0))),n0)
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_1244,c_76]) ).
tcf(c_1280,plain,
( achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1265,c_68,c_390]) ).
tcf(c_1291,plain,
( achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))
| ~ safe(n0,s(s(s(n0))))
| ~ safe(s(s(s(n0))),n0)
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_1254,c_76]) ).
tcf(c_1306,plain,
( achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1291,c_68,c_394]) ).
tcf(c_1334,plain,
( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatonwest,east(m(n0),c(s(s(n0)))))
| ~ safe(n0,s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_1280,c_77]) ).
tcf(c_1336,plain,
( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatonwest,east(m(n0),c(s(s(n0)))))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1334,c_68]) ).
tcf(c_1346,plain,
( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatonwest,east(m(n0),c(s(s(n0)))))
| ~ safe(n0,s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_1306,c_77]) ).
tcf(c_1348,plain,
( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatonwest,east(m(n0),c(s(s(n0)))))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1346,c_68]) ).
tcf(c_1369,plain,
( achievable(west(m(s(n0)),c(s(n0))),boatoneast,east(m(s(s(n0))),c(s(s(n0)))))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_1336,c_72]) ).
tcf(c_1389,plain,
( achievable(west(m(s(n0)),c(s(n0))),boatoneast,east(m(s(s(n0))),c(s(s(n0)))))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_1348,c_72]) ).
tcf(c_1594,plain,
( safe(s(s(s(n0))),s(n0))
| ~ greater_or_equal(s(s(s(n0))),s(n0)) ),
inference(instantiation,[status(thm)],[c_319]) ).
tcf(c_2379,plain,
( greater_or_equal(s(s(s(n0))),s(n0))
| ~ greater_or_equal(s(s(n0)),n0) ),
inference(instantiation,[status(thm)],[c_550]) ).
tcf(c_2380,plain,
( safe(s(n0),s(n0))
| ~ greater_or_equal(s(n0),s(n0)) ),
inference(instantiation,[status(thm)],[c_216]) ).
tcf(c_2555,plain,
( achievable(west(m(s(s(n0))),c(s(s(n0)))),boatonwest,east(m(s(n0)),c(s(n0))))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_1369,c_69]) ).
tcf(c_2596,plain,
( achievable(west(m(s(s(n0))),c(s(s(n0)))),boatonwest,east(m(s(n0)),c(s(n0))))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_1389,c_69]) ).
tcf(c_2744,plain,
( achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0))))
| ~ safe(n0,s(s(n0)))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_2555,c_72]) ).
tcf(c_2746,plain,
( achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0))))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2744,c_68]) ).
tcf(c_2790,plain,
( achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0))))
| ~ safe(n0,s(s(n0)))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_2596,c_72]) ).
tcf(c_2792,plain,
( achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0))))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2790,c_68]) ).
tcf(c_2932,plain,
( achievable(west(m(n0),c(s(s(s(n0))))),boatonwest,east(m(s(s(s(n0)))),c(n0)))
| ~ safe(s(n0),s(n0))
| ~ safe(n0,s(s(s(n0))))
| ~ safe(s(s(s(n0))),n0)
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_2746,c_77]) ).
tcf(c_2936,plain,
( achievable(west(m(n0),c(s(s(s(n0))))),boatonwest,east(m(s(s(s(n0)))),c(n0)))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2932,c_68,c_390]) ).
tcf(c_2952,plain,
( achievable(west(m(n0),c(s(s(s(n0))))),boatonwest,east(m(s(s(s(n0)))),c(n0)))
| ~ safe(s(n0),s(n0))
| ~ safe(n0,s(s(s(n0))))
| ~ safe(s(s(s(n0))),n0)
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_2792,c_77]) ).
tcf(c_2956,plain,
( achievable(west(m(n0),c(s(s(s(n0))))),boatonwest,east(m(s(s(s(n0)))),c(n0)))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2952,c_68,c_394]) ).
tcf(c_3174,plain,
( achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0)))))
| ~ safe(n0,s(n0))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_2936,c_76]) ).
tcf(c_3175,plain,
( achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0)))))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3174,c_68]) ).
tcf(c_3192,plain,
( achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0)))))
| ~ safe(n0,s(n0))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_2956,c_76]) ).
tcf(c_3193,plain,
( achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0)))))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3192,c_68]) ).
tcf(c_3291,plain,
( achievable(west(m(s(n0)),c(s(n0))),boatonwest,east(m(s(s(n0))),c(s(s(n0)))))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_3175,c_73]) ).
tcf(c_3317,plain,
( achievable(west(m(s(n0)),c(s(n0))),boatonwest,east(m(s(s(n0))),c(s(s(n0)))))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_3193,c_73]) ).
tcf(c_3332,plain,
greater_or_equal(s(s(n0)),n0),
inference(instantiation,[status(thm)],[c_436]) ).
tcf(c_3749,plain,
( achievable(west(m(s(n0)),c(s(n0))),boatonwest,east(m(s(s(n0))),c(s(s(n0)))))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(global_subsumption_just,[status(thm)],[c_3291,c_1594,c_2379,c_3291,c_3332]) ).
tcf(c_3761,plain,
( achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0))))))
| ~ safe(n0,n0)
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(s(n0)))) ),
inference(superposition,[status(thm)],[c_3749,c_70]) ).
tcf(c_3767,plain,
( ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(s(n0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3761,c_66,c_68]) ).
tcf(c_3790,plain,
( achievable(west(m(s(n0)),c(s(n0))),boatonwest,east(m(s(s(n0))),c(s(s(n0)))))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(global_subsumption_just,[status(thm)],[c_3317,c_1594,c_2379,c_3291,c_3332]) ).
tcf(c_3802,plain,
( achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0))))))
| ~ safe(n0,n0)
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(s(n0)))) ),
inference(superposition,[status(thm)],[c_3790,c_70]) ).
tcf(c_3808,plain,
( ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(s(n0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3802,c_66,c_68]) ).
tcf(c_3827,plain,
( ~ safe(s(n0),s(n0))
| ~ greater_or_equal(s(s(n0)),s(s(n0)))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_416,c_3767]) ).
tcf(c_3840,plain,
( ~ safe(s(n0),s(n0))
| ~ greater_or_equal(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3827,c_80]) ).
tcf(c_3850,plain,
( ~ safe(s(n0),s(n0))
| ~ greater_or_equal(s(s(n0)),s(n0))
| ~ greater_or_equal(s(s(n0)),s(s(n0))) ),
inference(superposition,[status(thm)],[c_416,c_3840]) ).
tcf(c_3862,plain,
( ~ safe(s(n0),s(n0))
| ~ greater_or_equal(s(s(n0)),s(s(n0)))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(superposition,[status(thm)],[c_424,c_3808]) ).
tcf(c_3897,plain,
( ~ greater_or_equal(s(n0),s(n0))
| ~ safe(s(n0),s(n0))
| ~ greater_or_equal(s(s(n0)),s(n0)) ),
inference(superposition,[status(thm)],[c_79,c_3850]) ).
tcf(c_3905,plain,
( ~ safe(s(n0),s(n0))
| ~ greater_or_equal(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3862,c_80]) ).
tcf(c_3915,plain,
( ~ safe(s(n0),s(n0))
| ~ greater_or_equal(s(s(n0)),s(n0))
| ~ greater_or_equal(s(s(n0)),s(s(n0))) ),
inference(superposition,[status(thm)],[c_424,c_3905]) ).
tcf(c_3969,plain,
( ~ greater_or_equal(s(n0),s(n0))
| ~ safe(s(n0),s(n0))
| ~ greater_or_equal(s(s(n0)),s(n0)) ),
inference(superposition,[status(thm)],[c_79,c_3915]) ).
tcf(c_3973,plain,
( ~ greater_or_equal(s(n0),s(n0))
| ~ greater_or_equal(s(s(n0)),s(n0)) ),
inference(global_subsumption_just,[status(thm)],[c_3969,c_2380,c_3897]) ).
tcf(c_3979,plain,
( ~ greater_or_equal(s(n0),n0)
| ~ greater_or_equal(s(n0),s(n0)) ),
inference(superposition,[status(thm)],[c_79,c_3973]) ).
tcf(c_3980,plain,
~ greater_or_equal(s(n0),s(n0)),
inference(forward_subsumption_resolution,[status(thm)],[c_3979,c_67]) ).
tcf(c_4021,plain,
~ greater_or_equal(s(n0),s(n0)),
inference(global_subsumption_just,[status(thm)],[c_3897,c_3980]) ).
tcf(c_4023,plain,
~ greater_or_equal(n0,n0),
inference(superposition,[status(thm)],[c_79,c_4021]) ).
tcf(c_4024,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4023,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ008-3 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.37 % Computer : n009.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Thu Sep 24 06:36:49 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 2.44/6.29 % SZS status Started for theBenchmark.p
% 2.44/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.44/6.29
% 2.44/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.44/6.29
% 2.44/6.29 % ------ iProver source info
% 2.44/6.29
% 2.44/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.44/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.44/6.29 % git: non_committed_changes: false
% 2.44/6.29
% 2.44/6.29 % ------ Parsing...% successful
% 2.44/6.29
% 2.44/6.29
% 2.44/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.44/6.29
% 2.44/6.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.44/6.29
% 2.44/6.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.44/6.29 % ------ Proving...
% 2.44/6.29 % ------ Problem Properties
% 2.44/6.29
% 2.44/6.29 %
% 2.44/6.29 % clauses 16
% 2.44/6.29 % conjectures 1
% 2.44/6.29 % EPR 3
% 2.44/6.29 % Horn 16
% 2.44/6.29 % unary 4
% 2.44/6.29 % binary 2
% 2.44/6.29 % lits 48
% 2.44/6.29 % lits eq 0
% 2.44/6.29 % fd_pure 0
% 2.44/6.29 % fd_pseudo 0
% 2.44/6.29 % fd_cond 0
% 2.44/6.29 % fd_pseudo_cond 0
% 2.44/6.29 % AC symbols 0
% 2.44/6.29
% 2.44/6.29 % ------ Schedule dynamic 5 is on
% 2.44/6.29
% 2.44/6.29 % ------ no equalities: superposition off
% 2.44/6.29
% 2.44/6.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.44/6.29
% 2.44/6.29
% 2.44/6.29 % ------
% 2.44/6.29 % Current options:
% 2.44/6.29 % ------
% 2.44/6.29
% 2.44/6.29
% 2.44/6.29 %
% 2.44/6.29
% 2.44/6.29 % ------ Proving...
% 2.44/6.29 %
% 2.44/6.29
% 2.44/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.44/6.29
% 2.44/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.44/6.29
% 2.44/6.29
%------------------------------------------------------------------------------