%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ031-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 02:32:46 PM UTC 2026
% Result : Unsatisfiable 2.20s 6.27s
% Output : CNFRefutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 86 ( 22 unt; 0 def)
% Number of atoms : 225 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 291 ( 152 ~; 139 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 16 ( 15 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 84 ( 0 sgn 84 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_is_an_animal) ).
fof(f2,axiom,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_is_an_animal) ).
fof(f3,axiom,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_is_an_animal) ).
fof(f5,axiom,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_is_an_animal) ).
fof(f6,axiom,
wolf(a_wolf),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_wolf) ).
fof(f7,axiom,
fox(a_fox),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_fox) ).
fof(f8,axiom,
bird(a_bird),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_bird) ).
fof(f10,axiom,
snail(a_snail),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_snail) ).
fof(f11,axiom,
grain(a_grain),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_grain) ).
fof(f12,axiom,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_is_a_plant) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ eats(X2,X3)
| ~ much_smaller(X2,X0)
| ~ plant(X3)
| ~ animal(X2)
| ~ plant(X1)
| ~ animal(X0)
| eats(X0,X2)
| eats(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eating_habits) ).
fof(f15,axiom,
! [X0,X1] :
( ~ bird(X1)
| ~ snail(X0)
| much_smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_smaller_than_bird) ).
fof(f16,axiom,
! [X0,X1] :
( ~ fox(X1)
| ~ bird(X0)
| much_smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_smaller_than_fox) ).
fof(f17,axiom,
! [X0,X1] :
( ~ wolf(X1)
| ~ fox(X0)
| much_smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_smaller_than_wolf) ).
fof(f18,axiom,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_dont_eat_fox) ).
fof(f19,axiom,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_dont_eat_grain) ).
fof(f21,axiom,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_dont_eat_snail) ).
fof(f24,axiom,
! [X0] :
( ~ snail(X0)
| plant(snail_food_of(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_food_is_a_plant) ).
fof(f25,axiom,
! [X0] :
( ~ snail(X0)
| eats(X0,snail_food_of(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_eats_snail_food) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( ~ eats(X1,X2)
| ~ eats(X0,X1)
| ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_the_animal_exists) ).
tcf(c_75,plain,
! [X0: $i] :
( animal(X0)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_76,plain,
! [X0: $i] :
( animal(X0)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_77,plain,
! [X0: $i] :
( animal(X0)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_79,plain,
! [X0: $i] :
( animal(X0)
| ~ snail(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_80,plain,
wolf(a_wolf),
inference(cnf_transformation,[],[f6]) ).
tcf(c_81,plain,
fox(a_fox),
inference(cnf_transformation,[],[f7]) ).
tcf(c_82,plain,
bird(a_bird),
inference(cnf_transformation,[],[f8]) ).
tcf(c_84,plain,
snail(a_snail),
inference(cnf_transformation,[],[f10]) ).
tcf(c_85,plain,
grain(a_grain),
inference(cnf_transformation,[],[f11]) ).
tcf(c_86,plain,
! [X0: $i] :
( plant(X0)
| ~ grain(X0) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eats(X2,X3)
| eats(X2,X0)
| ~ plant(X3)
| ~ plant(X1)
| ~ animal(X2)
| ~ animal(X0)
| ~ much_smaller(X0,X2)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( much_smaller(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( much_smaller(X1,X0)
| ~ bird(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( much_smaller(X1,X0)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_98,plain,
! [X0: $i] :
( plant(snail_food_of(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_99,plain,
! [X0: $i] :
( eats(X0,snail_food_of(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_100,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,X2)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_104,plain,
( animal(a_bird)
| ~ bird(a_bird) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_246,plain,
! [X0: $i] :
( ~ grain(X0)
| ~ eats(a_wolf,X0) ),
inference(resolution,[status(thm)],[c_93,c_80]) ).
tcf(c_254,plain,
! [X0: $i] :
( ~ fox(X0)
| ~ eats(a_wolf,X0) ),
inference(resolution,[status(thm)],[c_92,c_80]) ).
tcf(c_262,plain,
! [X0: $i] :
( much_smaller(X0,a_wolf)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[c_91,c_80]) ).
tcf(c_270,plain,
animal(a_wolf),
inference(resolution,[status(thm)],[c_75,c_80]) ).
tcf(c_281,plain,
much_smaller(a_fox,a_wolf),
inference(resolution,[status(thm)],[c_262,c_81]) ).
tcf(c_285,plain,
~ eats(a_wolf,a_fox),
inference(resolution,[status(thm)],[c_254,c_81]) ).
tcf(c_289,plain,
! [X0: $i] :
( much_smaller(X0,a_fox)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[c_90,c_81]) ).
tcf(c_297,plain,
animal(a_fox),
inference(resolution,[status(thm)],[c_76,c_81]) ).
tcf(c_306,plain,
~ eats(a_wolf,a_grain),
inference(resolution,[status(thm)],[c_85,c_246]) ).
tcf(c_310,plain,
plant(a_grain),
inference(resolution,[status(thm)],[c_85,c_86]) ).
tcf(c_314,plain,
! [X0: $i,X1: $i] :
( ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,a_grain)
| ~ eats(X0,X1) ),
inference(resolution,[status(thm)],[c_85,c_100]) ).
tcf(c_369,plain,
eats(a_snail,snail_food_of(a_snail)),
inference(resolution,[status(thm)],[c_99,c_84]) ).
tcf(c_373,plain,
plant(snail_food_of(a_snail)),
inference(resolution,[status(thm)],[c_98,c_84]) ).
tcf(c_377,plain,
animal(a_snail),
inference(resolution,[status(thm)],[c_79,c_84]) ).
tcf(c_381,plain,
! [X0: $i] :
( ~ bird(X0)
| ~ eats(X0,a_snail) ),
inference(resolution,[status(thm)],[c_84,c_95]) ).
tcf(c_382,plain,
( ~ bird(a_bird)
| ~ eats(a_bird,a_snail) ),
inference(instantiation,[status(thm)],[c_381]) ).
tcf(c_389,plain,
! [X0: $i] :
( much_smaller(a_snail,X0)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[c_84,c_89]) ).
tcf(c_404,plain,
much_smaller(a_snail,a_bird),
inference(resolution,[status(thm)],[c_389,c_82]) ).
tcf(c_420,plain,
much_smaller(a_bird,a_fox),
inference(resolution,[status(thm)],[c_289,c_82]) ).
tcf(c_434,plain,
! [X0: $i,X1: $i] :
( eats(a_wolf,a_fox)
| eats(a_wolf,X1)
| ~ animal(a_fox)
| ~ animal(a_wolf)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(a_fox,X0) ),
inference(resolution,[status(thm)],[c_87,c_281]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i] :
( ~ eats(a_fox,X0)
| ~ plant(X0)
| ~ plant(X1)
| eats(a_wolf,X1) ),
inference(global_subsumption_just,[status(thm)],[c_434,c_270,c_285,c_297,c_434]) ).
tcf(c_437,plain,
! [X0: $i,X1: $i] :
( eats(a_wolf,X1)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(a_fox,X0) ),
inference(renaming,[status(thm)],[c_436]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i] :
( eats(a_fox,a_bird)
| eats(a_fox,X1)
| ~ animal(a_bird)
| ~ animal(a_fox)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(a_bird,X0) ),
inference(resolution,[status(thm)],[c_87,c_420]) ).
tcf(c_453,plain,
! [X0: $i,X1: $i] :
( eats(a_fox,a_bird)
| eats(a_fox,X1)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(a_bird,X0) ),
inference(global_subsumption_just,[status(thm)],[c_451,c_82,c_104,c_297,c_451]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i] :
( eats(a_bird,a_snail)
| eats(a_bird,X1)
| ~ animal(a_snail)
| ~ animal(a_bird)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(a_snail,X0) ),
inference(resolution,[status(thm)],[c_87,c_404]) ).
tcf(c_474,plain,
! [X0: $i,X1: $i] :
( ~ eats(a_snail,X0)
| ~ plant(X0)
| ~ plant(X1)
| eats(a_bird,X1) ),
inference(global_subsumption_just,[status(thm)],[c_472,c_82,c_104,c_377,c_382,c_472]) ).
tcf(c_475,plain,
! [X0: $i,X1: $i] :
( eats(a_bird,X1)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(a_snail,X0) ),
inference(renaming,[status(thm)],[c_474]) ).
tcf(c_564,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ plant(X0)
| eats(a_bird,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_475]) ).
tcf(c_565,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ plant(X0)
| ~ eats(a_snail,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_475]) ).
tcf(c_566,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).
tcf(c_567,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ plant(X0)
| eats(a_fox,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_453]) ).
tcf(c_568,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ plant(X0)
| ~ eats(a_bird,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_453]) ).
tcf(c_569,plain,
( iPr_def_13
| iPr_def_12
| eats(a_fox,a_bird) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_453]) ).
tcf(c_570,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ plant(X0)
| eats(a_wolf,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_437]) ).
tcf(c_571,plain,
! [X0: $i] :
( ~ iPr_def_15
| ~ plant(X0)
| ~ eats(a_fox,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_437]) ).
tcf(c_572,plain,
( iPr_def_15
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_437]) ).
tcf(c_573,plain,
! [X0: $i,X1: $i] :
( ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,a_grain)
| ~ eats(X0,X1) ),
inference(demodulation,[status(thm)],[c_314]) ).
tcf(c_580,plain,
( eats(a_bird,a_grain)
| ~ iPr_def_10
| ~ plant(a_grain) ),
inference(instantiation,[status(thm)],[c_564]) ).
tcf(c_583,plain,
( eats(a_wolf,a_grain)
| ~ iPr_def_14
| ~ plant(a_grain) ),
inference(instantiation,[status(thm)],[c_570]) ).
tcf(c_588,plain,
( ~ iPr_def_11
| ~ plant(snail_food_of(a_snail))
| ~ eats(a_snail,snail_food_of(a_snail)) ),
inference(instantiation,[status(thm)],[c_565]) ).
tcf(c_589,plain,
( ~ iPr_def_15
| ~ plant(a_grain)
| ~ eats(a_fox,a_grain) ),
inference(instantiation,[status(thm)],[c_571]) ).
tcf(c_596,plain,
( ~ animal(a_bird)
| ~ animal(a_fox)
| ~ eats(a_bird,a_grain)
| ~ eats(a_fox,a_bird) ),
inference(instantiation,[status(thm)],[c_573]) ).
tcf(c_599,plain,
( eats(a_fox,a_grain)
| ~ iPr_def_12
| ~ plant(a_grain) ),
inference(instantiation,[status(thm)],[c_567]) ).
tcf(c_602,plain,
( ~ iPr_def_13
| ~ plant(a_grain)
| ~ eats(a_bird,a_grain) ),
inference(instantiation,[status(thm)],[c_568]) ).
tcf(c_603,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_602,c_599,c_596,c_589,c_588,c_583,c_580,c_569,c_572,c_566,c_373,c_369,c_310,c_306,c_297,c_104,c_82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n018.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 06:45:08 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.41 Running first-order theorem proving
% 0.15/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.42
% 0.15/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.42
% 0.15/5.42 % Detected problem language: tptp
% 0.15/5.43 % Proving...
% 2.20/6.27 % SZS status Started for theBenchmark.p
% 2.20/6.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.20/6.27
% 2.20/6.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.20/6.27
% 2.20/6.27 % ------ iProver source info
% 2.20/6.27
% 2.20/6.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.20/6.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.20/6.27 % git: non_committed_changes: false
% 2.20/6.27
% 2.20/6.27 % ------ Parsing...% successful
% 2.20/6.27
% 2.20/6.27
% 2.20/6.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.20/6.27
% 2.20/6.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.20/6.27
% 2.20/6.27 % ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.20/6.27 % ------ Proving...
% 2.20/6.27 % ------ Problem Properties
% 2.20/6.27
% 2.20/6.27 %
% 2.20/6.27 % clauses 24
% 2.20/6.27 % conjectures 0
% 2.20/6.27 % EPR 20
% 2.20/6.27 % Horn 21
% 2.20/6.27 % unary 14
% 2.20/6.27 % binary 2
% 2.20/6.27 % lits 43
% 2.20/6.27 % lits eq 0
% 2.20/6.27 % fd_pure 0
% 2.20/6.27 % fd_pseudo 0
% 2.20/6.27 % fd_cond 0
% 2.20/6.27 % fd_pseudo_cond 0
% 2.20/6.27 % AC symbols 0
% 2.20/6.27
% 2.20/6.27 % ------ Schedule dynamic 5 is on
% 2.20/6.27
% 2.20/6.27 % ------ no conjectures: strip conj schedule
% 2.20/6.27
% 2.20/6.27 % ------ no equalities: superposition off
% 2.20/6.27
% 2.20/6.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.20/6.27
% 2.20/6.27
% 2.20/6.27 % ------
% 2.20/6.27 % Current options:
% 2.20/6.27 % ------
% 2.20/6.27
% 2.20/6.27
% 2.20/6.27 %
% 2.20/6.27
% 2.20/6.27 % ------ Proving...
% 2.20/6.27 %
% 2.20/6.27
% 2.20/6.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.20/6.27
% 2.20/6.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.20/6.28
% 2.20/6.28
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