TSTP Solution File: PUZ031_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : PUZ031_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:54:39 EDT 2024
% Result : Theorem 2.03s 1.18s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 101 ( 51 ~; 42 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 73 ( 73 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 22 ( 21 usr; 12 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 124 ( 46 sgn 52 !; 13 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',pel47_13) ).
tff(f11,axiom,
! [X0: snail] :
? [X1: plant] : eats(snail_to_animal(X0),plant_to_edible(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14a) ).
tff(f12,conjecture,
? [X0: animal,X1: animal,X3: grain] :
( eats(X0,animal_to_edible(X1))
& eats(X1,plant_to_edible(grain_to_plant(X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).
tff(f13,negated_conjecture,
~ ? [X0: animal,X1: animal,X3: grain] :
( eats(X0,animal_to_edible(X1))
& eats(X1,plant_to_edible(grain_to_plant(X3))) ),
inference(negated_conjecture,[],[f12]) ).
tff(f14,plain,
! [X0: animal] :
( ! [X1: animal] :
( ( ? [X2: plant] : eats(X1,plant_to_edible(X2))
& much_smaller(X1,X0) )
=> eats(X0,animal_to_edible(X1)) )
| ! [X3: plant] : eats(X0,plant_to_edible(X3)) ),
inference(rectify,[],[f1]) ).
tff(f15,plain,
~ ? [X0: animal,X1: animal,X2: grain] :
( eats(X0,animal_to_edible(X1))
& eats(X1,plant_to_edible(grain_to_plant(X2))) ),
inference(rectify,[],[f13]) ).
tff(f16,plain,
! [X0: animal] :
( ! [X1: animal] :
( eats(X0,animal_to_edible(X1))
| ! [X2: plant] : ~ eats(X1,plant_to_edible(X2))
| ~ much_smaller(X1,X0) )
| ! [X3: plant] : eats(X0,plant_to_edible(X3)) ),
inference(ennf_transformation,[],[f14]) ).
tff(f17,plain,
! [X0: animal] :
( ! [X1: animal] :
( eats(X0,animal_to_edible(X1))
| ! [X2: plant] : ~ eats(X1,plant_to_edible(X2))
| ~ much_smaller(X1,X0) )
| ! [X3: plant] : eats(X0,plant_to_edible(X3)) ),
inference(flattening,[],[f16]) ).
tff(f18,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,[],[f15]) ).
tff(f21,plain,
! [X0: snail] :
( ? [X1: plant] : eats(snail_to_animal(X0),plant_to_edible(X1))
=> eats(snail_to_animal(X0),plant_to_edible(sK1(X0))) ),
introduced(choice_axiom,[]) ).
tff(f22,plain,
! [X0: snail] : eats(snail_to_animal(X0),plant_to_edible(sK1(X0))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f11,f21]) ).
tff(f23,plain,
! [X2: plant,X3: plant,X0: animal,X1: animal] :
( eats(X0,animal_to_edible(X1))
| ~ eats(X1,plant_to_edible(X2))
| ~ much_smaller(X1,X0)
| eats(X0,plant_to_edible(X3)) ),
inference(cnf_transformation,[],[f17]) ).
tff(f24,plain,
! [X0: snail,X1: bird] : much_smaller(snail_to_animal(X0),bird_to_animal(X1)),
inference(cnf_transformation,[],[f2]) ).
tff(f26,plain,
! [X0: bird,X1: fox] : much_smaller(bird_to_animal(X0),fox_to_animal(X1)),
inference(cnf_transformation,[],[f4]) ).
tff(f27,plain,
! [X0: fox,X1: wolf] : much_smaller(fox_to_animal(X0),wolf_to_animal(X1)),
inference(cnf_transformation,[],[f5]) ).
tff(f28,plain,
! [X0: wolf,X1: fox] : ~ eats(wolf_to_animal(X0),animal_to_edible(fox_to_animal(X1))),
inference(cnf_transformation,[],[f6]) ).
tff(f29,plain,
! [X0: wolf,X1: grain] : ~ eats(wolf_to_animal(X0),plant_to_edible(grain_to_plant(X1))),
inference(cnf_transformation,[],[f7]) ).
tff(f31,plain,
! [X0: bird,X1: snail] : ~ eats(bird_to_animal(X0),animal_to_edible(snail_to_animal(X1))),
inference(cnf_transformation,[],[f9]) ).
tff(f33,plain,
! [X0: snail] : eats(snail_to_animal(X0),plant_to_edible(sK1(X0))),
inference(cnf_transformation,[],[f22]) ).
tff(f34,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,[],[f18]) ).
cnf(c_49,plain,
( ~ eats(X0_13,plant_to_edible(X0_19))
| ~ much_smaller(X0_13,X1_13)
| eats(X1_13,animal_to_edible(X0_13))
| eats(X1_13,plant_to_edible(X1_19)) ),
inference(cnf_transformation,[],[f23]) ).
cnf(c_50,plain,
much_smaller(snail_to_animal(X0_18),bird_to_animal(X0_16)),
inference(cnf_transformation,[],[f24]) ).
cnf(c_52,plain,
much_smaller(bird_to_animal(X0_16),fox_to_animal(X0_15)),
inference(cnf_transformation,[],[f26]) ).
cnf(c_53,plain,
much_smaller(fox_to_animal(X0_15),wolf_to_animal(X0_14)),
inference(cnf_transformation,[],[f27]) ).
cnf(c_54,plain,
~ eats(wolf_to_animal(X0_14),animal_to_edible(fox_to_animal(X0_15))),
inference(cnf_transformation,[],[f28]) ).
cnf(c_55,plain,
~ eats(wolf_to_animal(X0_14),plant_to_edible(grain_to_plant(X0_20))),
inference(cnf_transformation,[],[f29]) ).
cnf(c_57,plain,
~ eats(bird_to_animal(X0_16),animal_to_edible(snail_to_animal(X0_18))),
inference(cnf_transformation,[],[f31]) ).
cnf(c_59,plain,
eats(snail_to_animal(X0_18),plant_to_edible(sK1(X0_18))),
inference(cnf_transformation,[],[f33]) ).
cnf(c_60,negated_conjecture,
( ~ eats(X0_13,plant_to_edible(grain_to_plant(X0_20)))
| ~ eats(X1_13,animal_to_edible(X0_13)) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_104,plain,
( ~ eats(snail_to_animal(X0_18),plant_to_edible(X0_19))
| eats(bird_to_animal(X0_16),animal_to_edible(snail_to_animal(X0_18)))
| eats(bird_to_animal(X0_16),plant_to_edible(X1_19)) ),
inference(resolution,[status(thm)],[c_49,c_50]) ).
cnf(c_106,plain,
( ~ eats(snail_to_animal(X0_18),plant_to_edible(X0_19))
| eats(bird_to_animal(X0_16),plant_to_edible(X1_19)) ),
inference(global_subsumption_just,[status(thm)],[c_104,c_57,c_104]) ).
cnf(c_116,plain,
( ~ eats(bird_to_animal(X0_16),plant_to_edible(X0_19))
| eats(fox_to_animal(X0_15),animal_to_edible(bird_to_animal(X0_16)))
| eats(fox_to_animal(X0_15),plant_to_edible(X1_19)) ),
inference(resolution,[status(thm)],[c_49,c_52]) ).
cnf(c_117,plain,
( ~ eats(bird_to_animal(iProver_bot),plant_to_edible(iProver_bot))
| eats(fox_to_animal(iProver_bot),animal_to_edible(bird_to_animal(iProver_bot)))
| eats(fox_to_animal(iProver_bot),plant_to_edible(iProver_bot)) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_127,plain,
( ~ eats(fox_to_animal(X0_15),plant_to_edible(X0_19))
| eats(wolf_to_animal(X0_14),animal_to_edible(fox_to_animal(X0_15)))
| eats(wolf_to_animal(X0_14),plant_to_edible(X1_19)) ),
inference(resolution,[status(thm)],[c_49,c_53]) ).
cnf(c_129,plain,
( ~ eats(fox_to_animal(X0_15),plant_to_edible(X0_19))
| eats(wolf_to_animal(X0_14),plant_to_edible(X1_19)) ),
inference(global_subsumption_just,[status(thm)],[c_127,c_54,c_127]) ).
cnf(c_175,plain,
( eats(wolf_to_animal(X0_14),plant_to_edible(X0_19))
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_129]) ).
cnf(c_176,plain,
( ~ eats(fox_to_animal(X0_15),plant_to_edible(X0_19))
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_129]) ).
cnf(c_177,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_129]) ).
cnf(c_178,plain,
( eats(bird_to_animal(X0_16),plant_to_edible(X0_19))
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_106]) ).
cnf(c_179,plain,
( ~ eats(snail_to_animal(X0_18),plant_to_edible(X0_19))
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_106]) ).
cnf(c_180,plain,
( sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106]) ).
cnf(c_181,negated_conjecture,
( ~ eats(X0_13,plant_to_edible(grain_to_plant(X0_20)))
| ~ eats(X1_13,animal_to_edible(X0_13)) ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_183,plain,
( ~ sP2_iProver_def
| eats(bird_to_animal(iProver_bot),plant_to_edible(iProver_bot)) ),
inference(instantiation,[status(thm)],[c_178]) ).
cnf(c_184,plain,
( ~ eats(fox_to_animal(iProver_bot),plant_to_edible(iProver_bot))
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_188,plain,
( ~ eats(fox_to_animal(X0_15),animal_to_edible(bird_to_animal(X0_16)))
| ~ eats(bird_to_animal(X0_16),plant_to_edible(grain_to_plant(X0_20))) ),
inference(instantiation,[status(thm)],[c_181]) ).
cnf(c_189,plain,
( ~ eats(fox_to_animal(iProver_bot),animal_to_edible(bird_to_animal(iProver_bot)))
| ~ eats(bird_to_animal(iProver_bot),plant_to_edible(grain_to_plant(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_188]) ).
cnf(c_190,plain,
( ~ sP2_iProver_def
| eats(bird_to_animal(X0_16),plant_to_edible(grain_to_plant(X0_20))) ),
inference(instantiation,[status(thm)],[c_178]) ).
cnf(c_191,plain,
( ~ sP2_iProver_def
| eats(bird_to_animal(iProver_bot),plant_to_edible(grain_to_plant(iProver_bot))) ),
inference(instantiation,[status(thm)],[c_190]) ).
cnf(c_192,plain,
( ~ eats(snail_to_animal(X0_18),plant_to_edible(sK1(X0_18)))
| ~ sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_179]) ).
cnf(c_194,plain,
( ~ sP0_iProver_def
| eats(wolf_to_animal(X0_14),plant_to_edible(grain_to_plant(X0_20))) ),
inference(instantiation,[status(thm)],[c_175]) ).
cnf(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
% 0.00/0.12 % Problem : PUZ031_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 21:03:31 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.03/1.18 % SZS status Started for theBenchmark.p
% 2.03/1.18 % SZS status Theorem for theBenchmark.p
% 2.03/1.18
% 2.03/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.03/1.18
% 2.03/1.18 ------ iProver source info
% 2.03/1.18
% 2.03/1.18 git: date: 2024-05-02 19:28:25 +0000
% 2.03/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.03/1.18 git: non_committed_changes: false
% 2.03/1.18
% 2.03/1.18 ------ Parsing...
% 2.03/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 2.03/1.18
% 2.03/1.18
% 2.03/1.18 ------ Preprocessing... pe_s pe:1:0s pe_e pe_s pe_e
% 2.03/1.18
% 2.03/1.18 ------ Preprocessing...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 2.03/1.18 gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.03/1.18 ------ Proving...
% 2.03/1.18 ------ Problem Properties
% 2.03/1.18
% 2.03/1.18
% 2.03/1.18 clauses 14
% 2.03/1.18 conjectures 1
% 2.03/1.18 EPR 2
% 2.03/1.18 Horn 11
% 2.03/1.18 unary 6
% 2.03/1.18 binary 7
% 2.03/1.18 lits 23
% 2.03/1.18 lits eq 0
% 2.03/1.18 fd_pure 0
% 2.03/1.18 fd_pseudo 0
% 2.03/1.18 fd_cond 0
% 2.03/1.18 fd_pseudo_cond 0
% 2.03/1.18 AC symbols 0
% 2.03/1.18
% 2.03/1.18 ------ Schedule dynamic 5 is on
% 2.03/1.18
% 2.03/1.18 ------ no equalities: superposition off
% 2.03/1.18
% 2.03/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.03/1.18
% 2.03/1.18
% 2.03/1.18 ------
% 2.03/1.18 Current options:
% 2.03/1.18 ------
% 2.03/1.18
% 2.03/1.18
% 2.03/1.18
% 2.03/1.18
% 2.03/1.18 ------ Proving...
% 2.03/1.18
% 2.03/1.18
% 2.03/1.18 % SZS status Theorem for theBenchmark.p
% 2.03/1.18
% 2.03/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.03/1.18
% 2.03/1.18
%------------------------------------------------------------------------------