%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ031_1 : TPTP v9.3.1. Released v5.0.0.
% 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 02:32:46 PM UTC 2026
% Result : Theorem 1.93s 6.53s
% Output : CNFRefutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 95 ( 50 ~; 41 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 60 ( 60 fml; 0 var)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 0 con; 1-1 aty)
% Number of variables : 115 ( 0 sgn 107 !; 8 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
wolf_to_animal: wolf > animal ).
tff(pred_def_1,type,
eats: ( edible * animal ) > $o ).
tff(pred_def_2,type,
much_smaller: ( animal * animal ) > $o ).
tff(func_def_3,type,
caterpillar_to_animal: caterpillar > animal ).
tff(func_def_4,type,
snail_to_animal: snail > animal ).
tff(func_def_5,type,
grain_to_plant: grain > plant ).
tff(func_def_6,type,
animal_to_edible: animal > edible ).
tff(func_def_7,type,
plant_to_edible: plant > edible ).
tff(func_def_8,type,
sK0: caterpillar > plant ).
tff(func_def_9,type,
sK1: snail > plant ).
tff(type_def_10,type,
snail: $tType ).
tff(type_def_11,type,
plant: $tType ).
tff(type_def_12,type,
grain: $tType ).
tff(type_def_13,type,
edible: $tType ).
tff(f1,axiom,
! [X0: animal] :
( ! [X2: animal] :
( ( ? [X3: plant] : eats(X2,plant_to_edible(X3))
& much_smaller(X2,X0) )
=> eats(X0,animal_to_edible(X2)) )
| ! [X1: plant] : eats(X0,plant_to_edible(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
tff(f2,axiom,
! [X0: snail,X1: bird] : much_smaller(snail_to_animal(X0),bird_to_animal(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
tff(f4,axiom,
! [X0: bird,X1: fox] : much_smaller(bird_to_animal(X0),fox_to_animal(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
tff(f5,axiom,
! [X0: fox,X1: wolf] : much_smaller(fox_to_animal(X0),wolf_to_animal(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
tff(f6,axiom,
! [X0: wolf,X1: fox] : ~ eats(wolf_to_animal(X0),animal_to_edible(fox_to_animal(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
tff(f7,axiom,
! [X0: wolf,X1: grain] : ~ eats(wolf_to_animal(X0),plant_to_edible(grain_to_plant(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).
tff(f9,axiom,
! [X0: bird,X1: snail] : ~ eats(bird_to_animal(X0),animal_to_edible(snail_to_animal(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
tff(f11,axiom,
! [X0: snail] :
? [X1: plant] : eats(snail_to_animal(X0),plant_to_edible(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).
tff(f12,conjecture,
? [X0: animal,X1: animal,X2: grain] :
( eats(X0,animal_to_edible(X1))
& eats(X1,plant_to_edible(grain_to_plant(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
tff(f13,negated_conjecture,
~ ? [X0: animal,X1: animal,X2: grain] :
( eats(X0,animal_to_edible(X1))
& eats(X1,plant_to_edible(grain_to_plant(X2))) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
tff(f14,plain,
! [X0: animal] :
( ! [X2: animal] :
( ! [X3: plant] : ~ eats(X2,plant_to_edible(X3))
| ~ much_smaller(X2,X0)
| eats(X0,animal_to_edible(X2)) )
| ! [X1: plant] : eats(X0,plant_to_edible(X1)) ),
inference(ennf_transformation,[],[f1]) ).
tff(f15,plain,
! [X0: animal] :
( ! [X2: animal] :
( ! [X3: plant] : ~ eats(X2,plant_to_edible(X3))
| ~ much_smaller(X2,X0)
| eats(X0,animal_to_edible(X2)) )
| ! [X1: plant] : eats(X0,plant_to_edible(X1)) ),
inference(flattening,[],[f14]) ).
tff(f16,plain,
! [X0: animal,X1: animal,X2: grain] :
( ~ eats(X0,animal_to_edible(X1))
| ~ eats(X1,plant_to_edible(grain_to_plant(X2))) ),
inference(ennf_transformation,[],[f13]) ).
tff(f18,plain,
! [X0: snail] : eats(snail_to_animal(X0),plant_to_edible(sK1(X0))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f11]) ).
tff(f19,plain,
! [X2: animal,X3: plant,X0: animal,X1: plant] :
( ~ eats(X2,plant_to_edible(X3))
| ~ much_smaller(X2,X0)
| eats(X0,animal_to_edible(X2))
| eats(X0,plant_to_edible(X1)) ),
inference(cnf_transformation,[],[f15]) ).
tff(f20,plain,
! [X0: snail,X1: bird] : much_smaller(snail_to_animal(X0),bird_to_animal(X1)),
inference(cnf_transformation,[],[f2]) ).
tff(f22,plain,
! [X0: bird,X1: fox] : much_smaller(bird_to_animal(X0),fox_to_animal(X1)),
inference(cnf_transformation,[],[f4]) ).
tff(f23,plain,
! [X0: fox,X1: wolf] : much_smaller(fox_to_animal(X0),wolf_to_animal(X1)),
inference(cnf_transformation,[],[f5]) ).
tff(f24,plain,
! [X0: wolf,X1: fox] : ~ eats(wolf_to_animal(X0),animal_to_edible(fox_to_animal(X1))),
inference(cnf_transformation,[],[f6]) ).
tff(f25,plain,
! [X0: wolf,X1: grain] : ~ eats(wolf_to_animal(X0),plant_to_edible(grain_to_plant(X1))),
inference(cnf_transformation,[],[f7]) ).
tff(f27,plain,
! [X0: bird,X1: snail] : ~ eats(bird_to_animal(X0),animal_to_edible(snail_to_animal(X1))),
inference(cnf_transformation,[],[f9]) ).
tff(f29,plain,
! [X0: snail] : eats(snail_to_animal(X0),plant_to_edible(sK1(X0))),
inference(cnf_transformation,[],[f18]) ).
tff(f30,plain,
! [X2: grain,X0: animal,X1: animal] :
( ~ eats(X0,animal_to_edible(X1))
| ~ eats(X1,plant_to_edible(grain_to_plant(X2))) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_49,plain,
! [X0_animal: animal,X0_plant: plant,X1_animal: animal,X1_plant: plant] :
( eats(X1_animal,plant_to_edible(X1_plant))
| eats(X1_animal,animal_to_edible(X0_animal))
| ~ much_smaller(X0_animal,X1_animal)
| ~ eats(X0_animal,plant_to_edible(X0_plant)) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_50,plain,
! [X0_bird: bird,X0_snail: snail] : much_smaller(snail_to_animal(X0_snail),bird_to_animal(X0_bird)),
inference(cnf_transformation,[],[f20]) ).
tcf(c_52,plain,
! [X0_fox: fox,X0_bird: bird] : much_smaller(bird_to_animal(X0_bird),fox_to_animal(X0_fox)),
inference(cnf_transformation,[],[f22]) ).
tcf(c_53,plain,
! [X0_wolf: wolf,X0_fox: fox] : much_smaller(fox_to_animal(X0_fox),wolf_to_animal(X0_wolf)),
inference(cnf_transformation,[],[f23]) ).
tcf(c_54,plain,
! [X0_wolf: wolf,X0_fox: fox] : ~ eats(wolf_to_animal(X0_wolf),animal_to_edible(fox_to_animal(X0_fox))),
inference(cnf_transformation,[],[f24]) ).
tcf(c_55,plain,
! [X0_wolf: wolf,X0_grain: grain] : ~ eats(wolf_to_animal(X0_wolf),plant_to_edible(grain_to_plant(X0_grain))),
inference(cnf_transformation,[],[f25]) ).
tcf(c_57,plain,
! [X0_bird: bird,X0_snail: snail] : ~ eats(bird_to_animal(X0_bird),animal_to_edible(snail_to_animal(X0_snail))),
inference(cnf_transformation,[],[f27]) ).
tcf(c_59,plain,
! [X0_snail: snail] : eats(snail_to_animal(X0_snail),plant_to_edible(sK1(X0_snail))),
inference(cnf_transformation,[],[f29]) ).
tcf(c_60,negated_conjecture,
! [X0_animal: animal,X0_grain: grain,X1_animal: animal] :
( ~ eats(X1_animal,animal_to_edible(X0_animal))
| ~ eats(X0_animal,plant_to_edible(grain_to_plant(X0_grain))) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_104,plain,
! [X0_bird: bird,X0_snail: snail,X0_plant: plant,X1_plant: plant] :
( eats(bird_to_animal(X0_bird),plant_to_edible(X1_plant))
| eats(bird_to_animal(X0_bird),animal_to_edible(snail_to_animal(X0_snail)))
| ~ eats(snail_to_animal(X0_snail),plant_to_edible(X0_plant)) ),
inference(resolution,[status(thm)],[c_49,c_50]) ).
tcf(c_106,plain,
! [X0_bird: bird,X0_snail: snail,X0_plant: plant,X1_plant: plant] :
( eats(bird_to_animal(X0_bird),plant_to_edible(X1_plant))
| ~ eats(snail_to_animal(X0_snail),plant_to_edible(X0_plant)) ),
inference(global_subsumption_just,[status(thm)],[c_104,c_57,c_104]) ).
tcf(c_116,plain,
! [X0_fox: fox,X0_bird: bird,X0_plant: plant,X1_plant: plant] :
( eats(fox_to_animal(X0_fox),plant_to_edible(X1_plant))
| eats(fox_to_animal(X0_fox),animal_to_edible(bird_to_animal(X0_bird)))
| ~ eats(bird_to_animal(X0_bird),plant_to_edible(X0_plant)) ),
inference(resolution,[status(thm)],[c_49,c_52]) ).
tcf(c_117,plain,
( eats(fox_to_animal(iProver_bot),plant_to_edible(iProver_bot))
| eats(fox_to_animal(iProver_bot),animal_to_edible(bird_to_animal(iProver_bot)))
| ~ eats(bird_to_animal(iProver_bot),plant_to_edible(iProver_bot)) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_127,plain,
! [X0_wolf: wolf,X0_fox: fox,X0_plant: plant,X1_plant: plant] :
( eats(wolf_to_animal(X0_wolf),plant_to_edible(X1_plant))
| eats(wolf_to_animal(X0_wolf),animal_to_edible(fox_to_animal(X0_fox)))
| ~ eats(fox_to_animal(X0_fox),plant_to_edible(X0_plant)) ),
inference(resolution,[status(thm)],[c_49,c_53]) ).
tcf(c_129,plain,
! [X0_wolf: wolf,X0_fox: fox,X0_plant: plant,X1_plant: plant] :
( eats(wolf_to_animal(X0_wolf),plant_to_edible(X1_plant))
| ~ eats(fox_to_animal(X0_fox),plant_to_edible(X0_plant)) ),
inference(global_subsumption_just,[status(thm)],[c_127,c_54,c_127]) ).
tcf(c_175,plain,
! [X0_wolf: wolf,X0_plant: plant] :
( ~ iPr_def_10
| eats(wolf_to_animal(X0_wolf),plant_to_edible(X0_plant)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_129]) ).
tcf(c_176,plain,
! [X0_fox: fox,X0_plant: plant] :
( ~ iPr_def_11
| ~ eats(fox_to_animal(X0_fox),plant_to_edible(X0_plant)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_129]) ).
tcf(c_177,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_129]) ).
tcf(c_178,plain,
! [X0_bird: bird,X0_plant: plant] :
( ~ iPr_def_12
| eats(bird_to_animal(X0_bird),plant_to_edible(X0_plant)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_106]) ).
tcf(c_179,plain,
! [X0_snail: snail,X0_plant: plant] :
( ~ iPr_def_13
| ~ eats(snail_to_animal(X0_snail),plant_to_edible(X0_plant)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_106]) ).
tcf(c_180,plain,
( iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106]) ).
tcf(c_181,negated_conjecture,
! [X0_animal: animal,X0_grain: grain,X1_animal: animal] :
( ~ eats(X1_animal,animal_to_edible(X0_animal))
| ~ eats(X0_animal,plant_to_edible(grain_to_plant(X0_grain))) ),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_183,plain,
( eats(bird_to_animal(iProver_bot),plant_to_edible(iProver_bot))
| ~ iPr_def_12 ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_184,plain,
( ~ iPr_def_11
| ~ eats(fox_to_animal(iProver_bot),plant_to_edible(iProver_bot)) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_188,plain,
! [X0_fox: fox,X0_bird: bird,X0_grain: grain] :
( ~ eats(bird_to_animal(X0_bird),plant_to_edible(grain_to_plant(X0_grain)))
| ~ eats(fox_to_animal(X0_fox),animal_to_edible(bird_to_animal(X0_bird))) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_189,plain,
( ~ eats(bird_to_animal(iProver_bot),plant_to_edible(grain_to_plant(iProver_bot)))
| ~ eats(fox_to_animal(iProver_bot),animal_to_edible(bird_to_animal(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_188]) ).
tcf(c_190,plain,
! [X0_bird: bird,X0_grain: grain] :
( eats(bird_to_animal(X0_bird),plant_to_edible(grain_to_plant(X0_grain)))
| ~ iPr_def_12 ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_191,plain,
( eats(bird_to_animal(iProver_bot),plant_to_edible(grain_to_plant(iProver_bot)))
| ~ iPr_def_12 ),
inference(instantiation,[status(thm)],[c_190]) ).
tcf(c_192,plain,
! [X0_snail: snail] :
( ~ iPr_def_13
| ~ eats(snail_to_animal(X0_snail),plant_to_edible(sK1(X0_snail))) ),
inference(instantiation,[status(thm)],[c_179]) ).
tcf(c_194,plain,
! [X0_wolf: wolf,X0_grain: grain] :
( eats(wolf_to_animal(X0_wolf),plant_to_edible(grain_to_plant(X0_grain)))
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_175]) ).
tcf(c_195,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_194,c_192,c_191,c_189,c_184,c_183,c_180,c_177,c_117,c_55,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.60 % Computer : n009.cluster.edu
% 0.11/5.60 % Model : x86_64 x86_64
% 0.11/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.60 % Memory : 8046.5625MB
% 0.11/5.60 % OS : Linux 6.8.0-71-generic
% 0.11/5.60 % CPULimit : 300
% 0.11/5.60 % WCLimit : 300
% 0.11/5.60 % DateTime : Thu Sep 24 06:43:04 UTC 2026
% 0.11/5.60 % CPUTime :
% 0.11/5.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.64 Running first-order theorem proving
% 0.11/5.64 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
% 0.11/5.66
% 0.11/5.66 % ======== iProver multi-core TPTP/SMT =========
% 0.11/5.66
% 0.11/5.66 % Detected problem language: tptp
% 0.11/5.67 % Proving...
% 1.93/6.53 % SZS status Started for theBenchmark.p
% 1.93/6.53 % SZS status Theorem for theBenchmark.p
% 1.93/6.53
% 1.93/6.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.93/6.53
% 1.93/6.53 % ------ iProver source info
% 1.93/6.53
% 1.93/6.53 % git: date: 2026-07-19 20:42:38 +0200
% 1.93/6.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.93/6.53 % git: non_committed_changes: false
% 1.93/6.53
% 1.93/6.53 % ------ Parsing...
% 1.93/6.53 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.93/6.53 %
% 1.93/6.53
% 1.93/6.53 % ------ Preprocessing... pe_s pe:1:0s pe_e pe_s pe_e %
% 1.93/6.53
% 1.93/6.53 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.93/6.53 gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.93/6.53 % ------ Proving...
% 1.93/6.53 % ------ Problem Properties
% 1.93/6.53
% 1.93/6.53 %
% 1.93/6.53 % clauses 14
% 1.93/6.53 % conjectures 1
% 1.93/6.53 % EPR 2
% 1.93/6.53 % Horn 11
% 1.93/6.53 % unary 6
% 1.93/6.53 % binary 7
% 1.93/6.53 % lits 23
% 1.93/6.53 % lits eq 0
% 1.93/6.53 % fd_pure 0
% 1.93/6.53 % fd_pseudo 0
% 1.93/6.53 % fd_cond 0
% 1.93/6.53 % fd_pseudo_cond 0
% 1.93/6.53 % AC symbols 0
% 1.93/6.53
% 1.93/6.53 % ------ Schedule dynamic 5 is on
% 1.93/6.53
% 1.93/6.53 % ------ no equalities: superposition off
% 1.93/6.53
% 1.93/6.53 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.93/6.53
% 1.93/6.53
% 1.93/6.53 % ------
% 1.93/6.53 % Current options:
% 1.93/6.53 % ------
% 1.93/6.53
% 1.93/6.53
% 1.93/6.53 %
% 1.93/6.53
% 1.93/6.53 % ------ Proving...
% 1.93/6.53 %
% 1.93/6.53
% 1.93/6.53 % SZS status Theorem for theBenchmark.p
% 1.93/6.53
% 1.93/6.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.93/6.53
% 1.93/6.53
%------------------------------------------------------------------------------