TSTP Solution File: PUZ031+2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : PUZ031+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 2.17s 1.22s
% Output : CNFRefutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 25
% Syntax : Number of formulae : 153 ( 33 unt; 0 def)
% Number of atoms : 414 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 474 ( 213 ~; 189 |; 36 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% 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 : 193 ( 0 sgn 111 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] : wolf(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_type) ).
fof(f2,axiom,
? [X0] : fox(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_type) ).
fof(f3,axiom,
? [X0] : bird(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_type) ).
fof(f5,axiom,
? [X0] : snail(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_type) ).
fof(f6,axiom,
! [X1] :
( wolf(X1)
=> animal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_1) ).
fof(f7,axiom,
! [X1] :
( fox(X1)
=> animal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_1) ).
fof(f8,axiom,
! [X1] :
( bird(X1)
=> animal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_1) ).
fof(f10,axiom,
! [X1] :
( snail(X1)
=> animal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_4_2) ).
fof(f11,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_type) ).
fof(f12,axiom,
! [X1] :
( grain(X1)
=> plant(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_2) ).
fof(f13,axiom,
! [X1] :
( animal(X1)
=> ( ! [X3] :
( ( ? [X4] :
( eats(X3,X4)
& plant(X4) )
& much_smaller(X3,X1)
& animal(X3) )
=> eats(X1,X3) )
| ! [X2] :
( plant(X2)
=> eats(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
fof(f14,axiom,
! [X2,X1] :
( ( snail(X1)
& bird(X2) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
fof(f16,axiom,
! [X1,X2] :
( ( fox(X2)
& bird(X1) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
fof(f17,axiom,
! [X1,X2] :
( ( wolf(X2)
& fox(X1) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
fof(f18,axiom,
! [X1,X2] :
( ( fox(X2)
& wolf(X1) )
=> ~ eats(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
fof(f19,axiom,
! [X1,X2] :
( ( grain(X2)
& wolf(X1) )
=> ~ eats(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).
fof(f21,axiom,
! [X1,X2] :
( ( snail(X2)
& bird(X1) )
=> ~ eats(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
fof(f23,axiom,
! [X1] :
( snail(X1)
=> ? [X2] :
( eats(X1,X2)
& plant(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).
fof(f24,conjecture,
? [X1,X2] :
( ? [X4] :
( eats(X1,X2)
& eats(X2,X4)
& grain(X4) )
& animal(X2)
& animal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
fof(f25,negated_conjecture,
~ ? [X1,X2] :
( ? [X4] :
( eats(X1,X2)
& eats(X2,X4)
& grain(X4) )
& animal(X2)
& animal(X1) ),
inference(negated_conjecture,[],[f24]) ).
fof(f26,plain,
! [X0] :
( wolf(X0)
=> animal(X0) ),
inference(rectify,[],[f6]) ).
fof(f27,plain,
! [X0] :
( fox(X0)
=> animal(X0) ),
inference(rectify,[],[f7]) ).
fof(f28,plain,
! [X0] :
( bird(X0)
=> animal(X0) ),
inference(rectify,[],[f8]) ).
fof(f30,plain,
! [X0] :
( snail(X0)
=> animal(X0) ),
inference(rectify,[],[f10]) ).
fof(f31,plain,
! [X0] :
( grain(X0)
=> plant(X0) ),
inference(rectify,[],[f12]) ).
fof(f32,plain,
! [X0] :
( animal(X0)
=> ( ! [X1] :
( ( ? [X2] :
( eats(X1,X2)
& plant(X2) )
& much_smaller(X1,X0)
& animal(X1) )
=> eats(X0,X1) )
| ! [X3] :
( plant(X3)
=> eats(X0,X3) ) ) ),
inference(rectify,[],[f13]) ).
fof(f33,plain,
! [X0,X1] :
( ( snail(X1)
& bird(X0) )
=> much_smaller(X1,X0) ),
inference(rectify,[],[f14]) ).
fof(f35,plain,
! [X0,X1] :
( ( fox(X1)
& bird(X0) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f36,plain,
! [X0,X1] :
( ( wolf(X1)
& fox(X0) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f37,plain,
! [X0,X1] :
( ( fox(X1)
& wolf(X0) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f38,plain,
! [X0,X1] :
( ( grain(X1)
& wolf(X0) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f40,plain,
! [X0,X1] :
( ( snail(X1)
& bird(X0) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f42,plain,
! [X0] :
( snail(X0)
=> ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
inference(rectify,[],[f23]) ).
fof(f43,plain,
~ ? [X0,X1] :
( ? [X2] :
( eats(X0,X1)
& eats(X1,X2)
& grain(X2) )
& animal(X1)
& animal(X0) ),
inference(rectify,[],[f25]) ).
fof(f44,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f45,plain,
! [X0] :
( animal(X0)
| ~ fox(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f46,plain,
! [X0] :
( animal(X0)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f48,plain,
! [X0] :
( animal(X0)
| ~ snail(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f49,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ! [X2] :
( ~ eats(X1,X2)
| ~ plant(X2) )
| ~ much_smaller(X1,X0)
| ~ animal(X1) )
| ! [X3] :
( eats(X0,X3)
| ~ plant(X3) )
| ~ animal(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ! [X2] :
( ~ eats(X1,X2)
| ~ plant(X2) )
| ~ much_smaller(X1,X0)
| ~ animal(X1) )
| ! [X3] :
( eats(X0,X3)
| ~ plant(X3) )
| ~ animal(X0) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f53,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(flattening,[],[f52]) ).
fof(f56,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f57,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f59,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f61,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f63,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(flattening,[],[f62]) ).
fof(f66,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f67,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(flattening,[],[f66]) ).
fof(f69,plain,
! [X0] :
( ? [X1] :
( eats(X0,X1)
& plant(X1) )
| ~ snail(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f70,plain,
! [X0,X1] :
( ! [X2] :
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2) )
| ~ animal(X1)
| ~ animal(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f71,plain,
( ? [X0] : wolf(X0)
=> wolf(sK0) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
wolf(sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f71]) ).
fof(f73,plain,
( ? [X0] : fox(X0)
=> fox(sK1) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
fox(sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f2,f73]) ).
fof(f75,plain,
( ? [X0] : bird(X0)
=> bird(sK2) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
bird(sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f3,f75]) ).
fof(f79,plain,
( ? [X0] : snail(X0)
=> snail(sK4) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
snail(sK4),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f5,f79]) ).
fof(f81,plain,
( ? [X0] : grain(X0)
=> grain(sK5) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
grain(sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f11,f81]) ).
fof(f85,plain,
! [X0] :
( ? [X1] :
( eats(X0,X1)
& plant(X1) )
=> ( eats(X0,sK7(X0))
& plant(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( ( eats(X0,sK7(X0))
& plant(sK7(X0)) )
| ~ snail(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f69,f85]) ).
fof(f87,plain,
wolf(sK0),
inference(cnf_transformation,[],[f72]) ).
fof(f88,plain,
fox(sK1),
inference(cnf_transformation,[],[f74]) ).
fof(f89,plain,
bird(sK2),
inference(cnf_transformation,[],[f76]) ).
fof(f91,plain,
snail(sK4),
inference(cnf_transformation,[],[f80]) ).
fof(f92,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f93,plain,
! [X0] :
( animal(X0)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f94,plain,
! [X0] :
( animal(X0)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f96,plain,
! [X0] :
( animal(X0)
| ~ snail(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f97,plain,
grain(sK5),
inference(cnf_transformation,[],[f82]) ).
fof(f98,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( eats(X0,X1)
| ~ eats(X1,X2)
| ~ plant(X2)
| ~ much_smaller(X1,X0)
| ~ animal(X1)
| eats(X0,X3)
| ~ plant(X3)
| ~ animal(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f100,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f102,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f103,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f104,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f105,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f107,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f110,plain,
! [X0] :
( plant(sK7(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f111,plain,
! [X0] :
( eats(X0,sK7(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_49,plain,
wolf(sK0),
inference(cnf_transformation,[],[f87]) ).
cnf(c_50,plain,
fox(sK1),
inference(cnf_transformation,[],[f88]) ).
cnf(c_51,plain,
bird(sK2),
inference(cnf_transformation,[],[f89]) ).
cnf(c_53,plain,
snail(sK4),
inference(cnf_transformation,[],[f91]) ).
cnf(c_54,plain,
( ~ wolf(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_55,plain,
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_56,plain,
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_58,plain,
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_59,plain,
grain(sK5),
inference(cnf_transformation,[],[f97]) ).
cnf(c_60,plain,
( ~ grain(X0)
| plant(X0) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_61,plain,
( ~ eats(X0,X1)
| ~ much_smaller(X0,X2)
| ~ animal(X0)
| ~ animal(X2)
| ~ plant(X1)
| ~ plant(X3)
| eats(X2,X0)
| eats(X2,X3) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_62,plain,
( ~ bird(X0)
| ~ snail(X1)
| much_smaller(X1,X0) ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_64,plain,
( ~ fox(X0)
| ~ bird(X1)
| much_smaller(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_65,plain,
( ~ wolf(X0)
| ~ fox(X1)
| much_smaller(X1,X0) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_66,plain,
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_67,plain,
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ grain(X1) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_69,plain,
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_72,plain,
( ~ snail(X0)
| eats(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_73,plain,
( ~ snail(X0)
| plant(sK7(X0)) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_74,negated_conjecture,
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ animal(X0)
| ~ animal(X1)
| ~ grain(X2) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_80,plain,
( ~ wolf(sK0)
| animal(sK0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_220,plain,
( ~ eats(sK0,X0)
| ~ grain(X0) ),
inference(resolution,[status(thm)],[c_49,c_67]) ).
cnf(c_228,plain,
( ~ eats(sK0,X0)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[c_49,c_66]) ).
cnf(c_236,plain,
( ~ fox(X0)
| much_smaller(X0,sK0) ),
inference(resolution,[status(thm)],[c_49,c_65]) ).
cnf(c_255,plain,
much_smaller(sK1,sK0),
inference(resolution,[status(thm)],[c_50,c_236]) ).
cnf(c_259,plain,
~ eats(sK0,sK1),
inference(resolution,[status(thm)],[c_50,c_228]) ).
cnf(c_263,plain,
( ~ bird(X0)
| much_smaller(X0,sK1) ),
inference(resolution,[status(thm)],[c_50,c_64]) ).
cnf(c_271,plain,
animal(sK1),
inference(resolution,[status(thm)],[c_50,c_55]) ).
cnf(c_280,plain,
~ eats(sK0,sK5),
inference(resolution,[status(thm)],[c_59,c_220]) ).
cnf(c_284,plain,
plant(sK5),
inference(resolution,[status(thm)],[c_59,c_60]) ).
cnf(c_288,plain,
( ~ eats(X0,X1)
| ~ eats(X1,sK5)
| ~ animal(X0)
| ~ animal(X1) ),
inference(resolution,[status(thm)],[c_59,c_74]) ).
cnf(c_342,plain,
plant(sK7(sK4)),
inference(resolution,[status(thm)],[c_53,c_73]) ).
cnf(c_346,plain,
eats(sK4,sK7(sK4)),
inference(resolution,[status(thm)],[c_53,c_72]) ).
cnf(c_350,plain,
animal(sK4),
inference(resolution,[status(thm)],[c_53,c_58]) ).
cnf(c_354,plain,
( ~ eats(X0,sK4)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[c_53,c_69]) ).
cnf(c_362,plain,
( ~ bird(X0)
| much_smaller(sK4,X0) ),
inference(resolution,[status(thm)],[c_53,c_62]) ).
cnf(c_377,plain,
much_smaller(sK4,sK2),
inference(resolution,[status(thm)],[c_51,c_362]) ).
cnf(c_381,plain,
~ eats(sK2,sK4),
inference(resolution,[status(thm)],[c_51,c_354]) ).
cnf(c_393,plain,
much_smaller(sK2,sK1),
inference(resolution,[status(thm)],[c_51,c_263]) ).
cnf(c_397,plain,
animal(sK2),
inference(resolution,[status(thm)],[c_51,c_56]) ).
cnf(c_407,plain,
( ~ eats(sK1,X0)
| ~ plant(X0)
| ~ plant(X1)
| ~ animal(sK0)
| ~ animal(sK1)
| eats(sK0,X1)
| eats(sK0,sK1) ),
inference(resolution,[status(thm)],[c_61,c_255]) ).
cnf(c_409,plain,
( eats(sK0,X1)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(sK1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_49,c_80,c_259,c_271,c_407]) ).
cnf(c_410,plain,
( ~ eats(sK1,X0)
| ~ plant(X0)
| ~ plant(X1)
| eats(sK0,X1) ),
inference(renaming,[status(thm)],[c_409]) ).
cnf(c_424,plain,
( ~ eats(sK4,X0)
| ~ plant(X0)
| ~ plant(X1)
| ~ animal(sK2)
| ~ animal(sK4)
| eats(sK2,X1)
| eats(sK2,sK4) ),
inference(resolution,[status(thm)],[c_61,c_377]) ).
cnf(c_426,plain,
( eats(sK2,X1)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(sK4,X0) ),
inference(global_subsumption_just,[status(thm)],[c_424,c_350,c_381,c_397,c_424]) ).
cnf(c_427,plain,
( ~ eats(sK4,X0)
| ~ plant(X0)
| ~ plant(X1)
| eats(sK2,X1) ),
inference(renaming,[status(thm)],[c_426]) ).
cnf(c_442,plain,
( ~ eats(sK2,X0)
| ~ plant(X0)
| ~ plant(X1)
| ~ animal(sK1)
| ~ animal(sK2)
| eats(sK1,X1)
| eats(sK1,sK2) ),
inference(resolution,[status(thm)],[c_61,c_393]) ).
cnf(c_444,plain,
( ~ eats(sK2,X0)
| ~ plant(X0)
| ~ plant(X1)
| eats(sK1,X1)
| eats(sK1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_442,c_271,c_397,c_442]) ).
cnf(c_537,plain,
( eats(sK1,X0)
| ~ plant(X0)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_444]) ).
cnf(c_538,plain,
( ~ eats(sK2,X0)
| ~ plant(X0)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_444]) ).
cnf(c_539,plain,
( eats(sK1,sK2)
| sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).
cnf(c_540,plain,
( eats(sK2,X0)
| ~ plant(X0)
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_427]) ).
cnf(c_541,plain,
( ~ eats(sK4,X0)
| ~ plant(X0)
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_427]) ).
cnf(c_542,plain,
( sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).
cnf(c_543,plain,
( eats(sK0,X0)
| ~ plant(X0)
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_410]) ).
cnf(c_544,plain,
( ~ eats(sK1,X0)
| ~ plant(X0)
| ~ sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_410]) ).
cnf(c_545,plain,
( sP4_iProver_def
| sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).
cnf(c_552,plain,
( ~ plant(sK5)
| ~ sP2_iProver_def
| eats(sK2,sK5) ),
inference(instantiation,[status(thm)],[c_540]) ).
cnf(c_555,plain,
( ~ plant(sK5)
| ~ sP4_iProver_def
| eats(sK0,sK5) ),
inference(instantiation,[status(thm)],[c_543]) ).
cnf(c_558,plain,
( ~ eats(X0,sK2)
| ~ eats(sK2,sK5)
| ~ animal(X0)
| ~ animal(sK2) ),
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_562,plain,
( ~ eats(sK4,sK7(sK4))
| ~ plant(sK7(sK4))
| ~ sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_541]) ).
cnf(c_563,plain,
( ~ eats(sK1,sK5)
| ~ plant(sK5)
| ~ sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_544]) ).
cnf(c_566,plain,
( ~ eats(sK1,sK2)
| ~ eats(sK2,sK5)
| ~ animal(sK1)
| ~ animal(sK2) ),
inference(instantiation,[status(thm)],[c_558]) ).
cnf(c_567,plain,
( ~ plant(sK5)
| ~ sP0_iProver_def
| eats(sK1,sK5) ),
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_570,plain,
( ~ eats(sK2,sK5)
| ~ plant(sK5)
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_571,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_570,c_567,c_566,c_563,c_562,c_555,c_552,c_539,c_545,c_542,c_397,c_346,c_342,c_284,c_280,c_271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PUZ031+2 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 21:19:01 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.17/1.22 % SZS status Started for theBenchmark.p
% 2.17/1.22 % SZS status Theorem for theBenchmark.p
% 2.17/1.22
% 2.17/1.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.17/1.22
% 2.17/1.22 ------ iProver source info
% 2.17/1.22
% 2.17/1.22 git: date: 2024-05-02 19:28:25 +0000
% 2.17/1.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.17/1.22 git: non_committed_changes: false
% 2.17/1.22
% 2.17/1.22 ------ Parsing...
% 2.17/1.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.17/1.22
% 2.17/1.22 ------ 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
% 2.17/1.22
% 2.17/1.22 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.17/1.22 ------ Proving...
% 2.17/1.22 ------ Problem Properties
% 2.17/1.22
% 2.17/1.22
% 2.17/1.22 clauses 24
% 2.17/1.22 conjectures 0
% 2.17/1.22 EPR 20
% 2.17/1.22 Horn 21
% 2.17/1.22 unary 14
% 2.17/1.22 binary 2
% 2.17/1.22 lits 43
% 2.17/1.22 lits eq 0
% 2.17/1.22 fd_pure 0
% 2.17/1.22 fd_pseudo 0
% 2.17/1.22 fd_cond 0
% 2.17/1.22 fd_pseudo_cond 0
% 2.17/1.22 AC symbols 0
% 2.17/1.22
% 2.17/1.22 ------ Schedule dynamic 5 is on
% 2.17/1.22
% 2.17/1.22 ------ no conjectures: strip conj schedule
% 2.17/1.22
% 2.17/1.22 ------ no equalities: superposition off
% 2.17/1.22
% 2.17/1.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.17/1.22
% 2.17/1.22
% 2.17/1.22 ------
% 2.17/1.22 Current options:
% 2.17/1.22 ------
% 2.17/1.22
% 2.17/1.22
% 2.17/1.22
% 2.17/1.22
% 2.17/1.22 ------ Proving...
% 2.17/1.22
% 2.17/1.22
% 2.17/1.22 % SZS status Theorem for theBenchmark.p
% 2.17/1.22
% 2.17/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.17/1.22
% 2.17/1.22
%------------------------------------------------------------------------------