%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ031+3 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.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 2.19s 1.26s
% Output : CNFRefutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 139 ( 38 unt; 0 def)
% Number of atoms : 366 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 441 ( 214 ~; 192 |; 19 &)
% ( 0 <=>; 16 =>; 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 : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 163 ( 0 sgn 148 !; 15 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
? [X0] : wolf(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_type) ).
fof(f5,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_is_animal) ).
fof(f6,axiom,
? [X0] : fox(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_type) ).
fof(f7,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_is_animal) ).
fof(f8,axiom,
? [X0] : bird(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_type) ).
fof(f9,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_is_animal) ).
fof(f12,axiom,
? [X0] : snail(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_type) ).
fof(f13,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_is_animal) ).
fof(f14,axiom,
? [X0] : plant(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plant_type) ).
fof(f16,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_type) ).
fof(f17,axiom,
! [X0] :
( grain(X0)
=> plant(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_is_plant) ).
fof(f18,axiom,
! [X0] :
( animal(X0)
=> ( ! [X2] :
( animal(X2)
=> ( ( ? [X3] :
( eats(X2,X3)
& plant(X3) )
& much_smaller(X2,X0) )
=> eats(X0,X2) ) )
| ! [X1] :
( plant(X1)
=> eats(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_7) ).
fof(f19,axiom,
! [X0,X1] :
( ( snail(X1)
& bird(X0) )
=> much_smaller(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
fof(f21,axiom,
! [X0,X1] :
( ( fox(X1)
& bird(X0) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).
fof(f22,axiom,
! [X0,X1] :
( ( wolf(X1)
& fox(X0) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
fof(f23,axiom,
! [X0,X1] :
( ( fox(X1)
& wolf(X0) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).
fof(f24,axiom,
! [X0,X1] :
( ( grain(X1)
& wolf(X0) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).
fof(f26,axiom,
! [X0,X1] :
( ( snail(X1)
& bird(X0) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
fof(f28,axiom,
! [X0] :
( snail(X0)
=> ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14a) ).
fof(f29,conjecture,
? [X0,X1,X2] :
( eats(X0,X1)
& eats(X1,X2)
& grain(X2)
& animal(X1)
& animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).
fof(f30,negated_conjecture,
~ ? [X0,X1,X2] :
( eats(X0,X1)
& eats(X1,X2)
& grain(X2)
& animal(X1)
& animal(X0) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f34,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f35,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f36,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f38,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f39,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f40,plain,
! [X0] :
( ~ animal(X0)
| ! [X2] :
( ~ animal(X2)
| ! [X3] :
( ~ eats(X2,X3)
| ~ plant(X3) )
| ~ much_smaller(X2,X0)
| eats(X0,X2) )
| ! [X1] :
( ~ plant(X1)
| eats(X0,X1) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f41,plain,
! [X0] :
( ~ animal(X0)
| ! [X2] :
( ~ animal(X2)
| ! [X3] :
( ~ eats(X2,X3)
| ~ plant(X3) )
| ~ much_smaller(X2,X0)
| eats(X0,X2) )
| ! [X1] :
( ~ plant(X1)
| eats(X0,X1) ) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| much_smaller(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f43,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| much_smaller(X1,X0) ),
inference(flattening,[],[f42]) ).
fof(f46,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ bird(X0)
| much_smaller(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f47,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ bird(X0)
| much_smaller(X0,X1) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( ~ wolf(X1)
| ~ fox(X0)
| much_smaller(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f49,plain,
! [X0,X1] :
( ~ wolf(X1)
| ~ fox(X0)
| much_smaller(X0,X1) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f51,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f53,plain,
! [X0,X1] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f56,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f57,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,X1) ),
inference(flattening,[],[f56]) ).
fof(f59,plain,
! [X0] :
( ~ snail(X0)
| ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f62,plain,
wolf(sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f4]) ).
fof(f63,plain,
fox(sK2),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f6]) ).
fof(f64,plain,
bird(sK3),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f8]) ).
fof(f66,plain,
snail(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f12]) ).
fof(f67,plain,
plant(sK6),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f14]) ).
fof(f68,plain,
grain(sK7),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f16]) ).
fof(f70,plain,
! [X0] :
( ~ snail(X0)
| ( eats(X0,sK9(X0))
& plant(sK9(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f59]) ).
fof(f72,plain,
wolf(sK1),
inference(cnf_transformation,[],[f62]) ).
fof(f73,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f74,plain,
fox(sK2),
inference(cnf_transformation,[],[f63]) ).
fof(f75,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f76,plain,
bird(sK3),
inference(cnf_transformation,[],[f64]) ).
fof(f77,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f80,plain,
snail(sK5),
inference(cnf_transformation,[],[f66]) ).
fof(f81,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f82,plain,
plant(sK6),
inference(cnf_transformation,[],[f67]) ).
fof(f83,plain,
grain(sK7),
inference(cnf_transformation,[],[f68]) ).
fof(f84,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( ~ animal(X0)
| ~ animal(X2)
| ~ eats(X2,X3)
| ~ plant(X3)
| ~ much_smaller(X2,X0)
| eats(X0,X2)
| ~ plant(X1)
| eats(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f86,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| much_smaller(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f88,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ bird(X0)
| much_smaller(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f89,plain,
! [X0,X1] :
( ~ wolf(X1)
| ~ fox(X0)
| much_smaller(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f90,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f91,plain,
! [X0,X1] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f93,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f96,plain,
! [X0] :
( ~ snail(X0)
| eats(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f97,plain,
! [X0] :
( ~ snail(X0)
| plant(sK9(X0)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_50,plain,
wolf(sK1),
inference(cnf_transformation,[],[f72]) ).
tcf(c_51,plain,
! [X0: $i] :
( animal(X0)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_52,plain,
fox(sK2),
inference(cnf_transformation,[],[f74]) ).
tcf(c_53,plain,
! [X0: $i] :
( animal(X0)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_54,plain,
bird(sK3),
inference(cnf_transformation,[],[f76]) ).
tcf(c_55,plain,
! [X0: $i] :
( animal(X0)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_58,plain,
snail(sK5),
inference(cnf_transformation,[],[f80]) ).
tcf(c_59,plain,
! [X0: $i] :
( animal(X0)
| ~ snail(X0) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_60,plain,
plant(sK6),
inference(cnf_transformation,[],[f82]) ).
tcf(c_61,plain,
grain(sK7),
inference(cnf_transformation,[],[f83]) ).
tcf(c_62,plain,
! [X0: $i] :
( plant(X0)
| ~ grain(X0) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_63,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,[],[f85]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( much_smaller(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( much_smaller(X1,X0)
| ~ bird(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( much_smaller(X1,X0)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_74,plain,
! [X0: $i] :
( plant(sK9(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_75,plain,
! [X0: $i] :
( eats(X0,sK9(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_76,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,X2)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_221,plain,
! [X0: $i] :
( ~ grain(X0)
| ~ eats(sK1,X0) ),
inference(resolution,[status(thm)],[c_50,c_69]) ).
tcf(c_229,plain,
! [X0: $i] :
( ~ fox(X0)
| ~ eats(sK1,X0) ),
inference(resolution,[status(thm)],[c_50,c_68]) ).
tcf(c_237,plain,
! [X0: $i] :
( much_smaller(X0,sK1)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[c_50,c_67]) ).
tcf(c_245,plain,
animal(sK1),
inference(resolution,[status(thm)],[c_50,c_51]) ).
tcf(c_256,plain,
much_smaller(sK2,sK1),
inference(resolution,[status(thm)],[c_52,c_237]) ).
tcf(c_260,plain,
~ eats(sK1,sK2),
inference(resolution,[status(thm)],[c_52,c_229]) ).
tcf(c_264,plain,
! [X0: $i] :
( much_smaller(X0,sK2)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[c_52,c_66]) ).
tcf(c_272,plain,
animal(sK2),
inference(resolution,[status(thm)],[c_52,c_53]) ).
tcf(c_281,plain,
~ eats(sK1,sK7),
inference(resolution,[status(thm)],[c_61,c_221]) ).
tcf(c_285,plain,
plant(sK7),
inference(resolution,[status(thm)],[c_61,c_62]) ).
tcf(c_289,plain,
! [X0: $i,X1: $i] :
( ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,sK7)
| ~ eats(X0,X1) ),
inference(resolution,[status(thm)],[c_61,c_76]) ).
tcf(c_344,plain,
eats(sK5,sK9(sK5)),
inference(resolution,[status(thm)],[c_58,c_75]) ).
tcf(c_348,plain,
plant(sK9(sK5)),
inference(resolution,[status(thm)],[c_58,c_74]) ).
tcf(c_352,plain,
animal(sK5),
inference(resolution,[status(thm)],[c_58,c_59]) ).
tcf(c_356,plain,
! [X0: $i] :
( ~ bird(X0)
| ~ eats(X0,sK5) ),
inference(resolution,[status(thm)],[c_58,c_71]) ).
tcf(c_364,plain,
! [X0: $i] :
( much_smaller(sK5,X0)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[c_58,c_64]) ).
tcf(c_379,plain,
much_smaller(sK5,sK3),
inference(resolution,[status(thm)],[c_54,c_364]) ).
tcf(c_383,plain,
~ eats(sK3,sK5),
inference(resolution,[status(thm)],[c_54,c_356]) ).
tcf(c_395,plain,
much_smaller(sK3,sK2),
inference(resolution,[status(thm)],[c_54,c_264]) ).
tcf(c_399,plain,
animal(sK3),
inference(resolution,[status(thm)],[c_54,c_55]) ).
tcf(c_409,plain,
! [X0: $i,X1: $i] :
( eats(sK1,sK2)
| eats(sK1,X1)
| ~ animal(sK2)
| ~ animal(sK1)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(sK2,X0) ),
inference(resolution,[status(thm)],[c_63,c_256]) ).
tcf(c_411,plain,
! [X0: $i,X1: $i] :
( ~ eats(sK2,X0)
| ~ plant(X0)
| ~ plant(X1)
| eats(sK1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_409,c_245,c_260,c_272,c_409]) ).
tcf(c_412,plain,
! [X0: $i,X1: $i] :
( eats(sK1,X1)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(sK2,X0) ),
inference(renaming,[status(thm)],[c_411]) ).
tcf(c_426,plain,
! [X0: $i,X1: $i] :
( eats(sK3,sK5)
| eats(sK3,X1)
| ~ animal(sK5)
| ~ animal(sK3)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(sK5,X0) ),
inference(resolution,[status(thm)],[c_63,c_379]) ).
tcf(c_428,plain,
! [X0: $i,X1: $i] :
( ~ eats(sK5,X0)
| ~ plant(X0)
| ~ plant(X1)
| eats(sK3,X1) ),
inference(global_subsumption_just,[status(thm)],[c_426,c_352,c_383,c_399,c_426]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i] :
( eats(sK3,X1)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(sK5,X0) ),
inference(renaming,[status(thm)],[c_428]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i] :
( eats(sK2,sK3)
| eats(sK2,X1)
| ~ animal(sK3)
| ~ animal(sK2)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(sK3,X0) ),
inference(resolution,[status(thm)],[c_63,c_395]) ).
tcf(c_446,plain,
! [X0: $i,X1: $i] :
( eats(sK2,sK3)
| eats(sK2,X1)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(sK3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_444,c_272,c_399,c_444]) ).
tcf(c_543,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ plant(X0)
| eats(sK2,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_446]) ).
tcf(c_544,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ plant(X0)
| ~ eats(sK3,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_446]) ).
tcf(c_545,plain,
( iPr_def_11
| iPr_def_10
| eats(sK2,sK3) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).
tcf(c_546,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ plant(X0)
| eats(sK3,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_429]) ).
tcf(c_547,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ plant(X0)
| ~ eats(sK5,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_429]) ).
tcf(c_548,plain,
( iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).
tcf(c_549,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ plant(X0)
| eats(sK1,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_412]) ).
tcf(c_550,plain,
! [X0: $i] :
( ~ iPr_def_15
| ~ plant(X0)
| ~ eats(sK2,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_412]) ).
tcf(c_551,plain,
( iPr_def_15
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).
tcf(c_552,plain,
! [X0: $i,X1: $i] :
( ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,sK7)
| ~ eats(X0,X1) ),
inference(demodulation,[status(thm)],[c_289]) ).
tcf(c_559,plain,
( eats(sK3,sK6)
| ~ iPr_def_12
| ~ plant(sK6) ),
inference(instantiation,[status(thm)],[c_546]) ).
tcf(c_560,plain,
( eats(sK3,sK7)
| ~ iPr_def_12
| ~ plant(sK7) ),
inference(instantiation,[status(thm)],[c_546]) ).
tcf(c_564,plain,
( eats(sK1,sK7)
| ~ iPr_def_14
| ~ plant(sK7) ),
inference(instantiation,[status(thm)],[c_549]) ).
tcf(c_567,plain,
! [X0: $i] :
( ~ animal(sK3)
| ~ animal(X0)
| ~ eats(sK3,sK7)
| ~ eats(X0,sK3) ),
inference(instantiation,[status(thm)],[c_552]) ).
tcf(c_569,plain,
( ~ iPr_def_15
| ~ plant(sK6)
| ~ eats(sK2,sK6) ),
inference(instantiation,[status(thm)],[c_550]) ).
tcf(c_576,plain,
( ~ iPr_def_13
| ~ plant(sK9(sK5))
| ~ eats(sK5,sK9(sK5)) ),
inference(instantiation,[status(thm)],[c_547]) ).
tcf(c_578,plain,
( ~ animal(sK3)
| ~ animal(sK2)
| ~ eats(sK3,sK7)
| ~ eats(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_567]) ).
tcf(c_579,plain,
( eats(sK2,sK6)
| ~ iPr_def_10
| ~ plant(sK6) ),
inference(instantiation,[status(thm)],[c_543]) ).
tcf(c_583,plain,
( ~ iPr_def_11
| ~ plant(sK6)
| ~ eats(sK3,sK6) ),
inference(instantiation,[status(thm)],[c_544]) ).
tcf(c_584,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_583,c_579,c_578,c_576,c_569,c_564,c_560,c_559,c_545,c_551,c_548,c_399,c_348,c_344,c_285,c_281,c_272,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031+3 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 06:47:57 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.39 Running first-order theorem proving
% 0.08/0.39 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 2.19/1.26 % SZS status Started for theBenchmark.p
% 2.19/1.26 % SZS status Theorem for theBenchmark.p
% 2.19/1.26
% 2.19/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.19/1.26
% 2.19/1.26 % ------ iProver source info
% 2.19/1.26
% 2.19/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 2.19/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.19/1.26 % git: non_committed_changes: false
% 2.19/1.26
% 2.19/1.26 % ------ Parsing...
% 2.19/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.19/1.26
% 2.19/1.26 % ------ 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 %
% 2.19/1.26
% 2.19/1.26 % ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.19/1.26 % ------ Proving...
% 2.19/1.26 % ------ Problem Properties
% 2.19/1.26
% 2.19/1.26 %
% 2.19/1.26 % clauses 26
% 2.19/1.26 % conjectures 0
% 2.19/1.26 % EPR 22
% 2.19/1.26 % Horn 23
% 2.19/1.26 % unary 16
% 2.19/1.26 % binary 2
% 2.19/1.26 % lits 45
% 2.19/1.26 % lits eq 0
% 2.19/1.26 % fd_pure 0
% 2.19/1.26 % fd_pseudo 0
% 2.19/1.26 % fd_cond 0
% 2.19/1.26 % fd_pseudo_cond 0
% 2.19/1.26 % AC symbols 0
% 2.19/1.26
% 2.19/1.26 % ------ Schedule dynamic 5 is on
% 2.19/1.26
% 2.19/1.26 % ------ no conjectures: strip conj schedule
% 2.19/1.26
% 2.19/1.26 % ------ no equalities: superposition off
% 2.19/1.26
% 2.19/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.19/1.26
% 2.19/1.26
% 2.19/1.26 % ------
% 2.19/1.26 % Current options:
% 2.19/1.26 % ------
% 2.19/1.26
% 2.19/1.26
% 2.19/1.26 %
% 2.19/1.26
% 2.19/1.26 % ------ Proving...
% 2.19/1.26 %
% 2.19/1.26
% 2.19/1.26 % SZS status Theorem for theBenchmark.p
% 2.19/1.26
% 2.19/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.19/1.27
% 2.19/1.27
%------------------------------------------------------------------------------