%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 0.93s 1.29s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 134 ( 33 unt; 0 def)
% Number of atoms : 360 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 439 ( 213 ~; 191 |; 20 &)
% ( 0 <=>; 15 =>; 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 : 162 ( 0 sgn 148 !; 14 ?; 59 :)
% 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,
! [X0] :
( wolf(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_1) ).
fof(f7,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_1) ).
fof(f8,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_1) ).
fof(f10,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ),
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,
! [X0] :
( grain(X0)
=> plant(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_2) ).
fof(f13,axiom,
! [X0] :
( animal(X0)
=> ( ! [X2] :
( ( ? [X3] :
( eats(X2,X3)
& plant(X3) )
& much_smaller(X2,X0)
& animal(X2) )
=> eats(X0,X2) )
| ! [X1] :
( plant(X1)
=> eats(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
fof(f14,axiom,
! [X0,X1] :
( ( snail(X1)
& bird(X0) )
=> much_smaller(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
fof(f16,axiom,
! [X0,X1] :
( ( fox(X1)
& bird(X0) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
fof(f17,axiom,
! [X0,X1] :
( ( wolf(X1)
& fox(X0) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
fof(f18,axiom,
! [X0,X1] :
( ( fox(X1)
& wolf(X0) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
fof(f19,axiom,
! [X0,X1] :
( ( grain(X1)
& wolf(X0) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).
fof(f21,axiom,
! [X0,X1] :
( ( snail(X1)
& bird(X0) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
fof(f23,axiom,
! [X0] :
( snail(X0)
=> ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).
fof(f24,conjecture,
? [X0,X1] :
( ? [X2] :
( eats(X0,X1)
& eats(X1,X2)
& grain(X2) )
& animal(X1)
& animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
fof(f25,negated_conjecture,
~ ? [X0,X1] :
( ? [X2] :
( eats(X0,X1)
& eats(X1,X2)
& grain(X2) )
& animal(X1)
& animal(X0) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f26,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f27,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f30,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f32,plain,
! [X0] :
( ~ animal(X0)
| ! [X2] :
( ! [X3] :
( ~ eats(X2,X3)
| ~ plant(X3) )
| ~ much_smaller(X2,X0)
| ~ animal(X2)
| eats(X0,X2) )
| ! [X1] :
( ~ plant(X1)
| eats(X0,X1) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f33,plain,
! [X0] :
( ~ animal(X0)
| ! [X2] :
( ! [X3] :
( ~ eats(X2,X3)
| ~ plant(X3) )
| ~ much_smaller(X2,X0)
| ~ animal(X2)
| eats(X0,X2) )
| ! [X1] :
( ~ plant(X1)
| eats(X0,X1) ) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| much_smaller(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f35,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| much_smaller(X1,X0) ),
inference(flattening,[],[f34]) ).
fof(f38,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ bird(X0)
| much_smaller(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f39,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ bird(X0)
| much_smaller(X0,X1) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ~ wolf(X1)
| ~ fox(X0)
| much_smaller(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f41,plain,
! [X0,X1] :
( ~ wolf(X1)
| ~ fox(X0)
| much_smaller(X0,X1) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f43,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f45,plain,
! [X0,X1] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(flattening,[],[f44]) ).
fof(f48,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f49,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,X1) ),
inference(flattening,[],[f48]) ).
fof(f51,plain,
! [X0] :
( ~ snail(X0)
| ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f52,plain,
! [X0,X1] :
( ! [X2] :
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2) )
| ~ animal(X1)
| ~ animal(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f53,plain,
wolf(sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).
fof(f54,plain,
fox(sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f2]) ).
fof(f55,plain,
bird(sK2),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f3]) ).
fof(f57,plain,
snail(sK4),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f5]) ).
fof(f58,plain,
grain(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f11]) ).
fof(f60,plain,
! [X0] :
( ~ snail(X0)
| ( eats(X0,sK7(X0))
& plant(sK7(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f51]) ).
fof(f61,plain,
wolf(sK0),
inference(cnf_transformation,[],[f53]) ).
fof(f62,plain,
fox(sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f63,plain,
bird(sK2),
inference(cnf_transformation,[],[f55]) ).
fof(f65,plain,
snail(sK4),
inference(cnf_transformation,[],[f57]) ).
fof(f66,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f67,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f68,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f70,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f71,plain,
grain(sK5),
inference(cnf_transformation,[],[f58]) ).
fof(f72,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ animal(X0)
| ~ eats(X2,X3)
| ~ plant(X3)
| ~ much_smaller(X2,X0)
| ~ animal(X2)
| eats(X0,X2)
| ~ plant(X1)
| eats(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f74,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| much_smaller(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f76,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ bird(X0)
| much_smaller(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f77,plain,
! [X0,X1] :
( ~ wolf(X1)
| ~ fox(X0)
| much_smaller(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f78,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f79,plain,
! [X0,X1] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f81,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f84,plain,
! [X0] :
( ~ snail(X0)
| eats(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f85,plain,
! [X0] :
( ~ snail(X0)
| plant(sK7(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_49,plain,
wolf(sK0),
inference(cnf_transformation,[],[f61]) ).
tcf(c_50,plain,
fox(sK1),
inference(cnf_transformation,[],[f62]) ).
tcf(c_51,plain,
bird(sK2),
inference(cnf_transformation,[],[f63]) ).
tcf(c_53,plain,
snail(sK4),
inference(cnf_transformation,[],[f65]) ).
tcf(c_54,plain,
! [X0: $i] :
( animal(X0)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_55,plain,
! [X0: $i] :
( animal(X0)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_56,plain,
! [X0: $i] :
( animal(X0)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_58,plain,
! [X0: $i] :
( animal(X0)
| ~ snail(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_59,plain,
grain(sK5),
inference(cnf_transformation,[],[f71]) ).
tcf(c_60,plain,
! [X0: $i] :
( plant(X0)
| ~ grain(X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_61,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,[],[f73]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( much_smaller(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( much_smaller(X1,X0)
| ~ bird(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( much_smaller(X1,X0)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_72,plain,
! [X0: $i] :
( plant(sK7(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_73,plain,
! [X0: $i] :
( eats(X0,sK7(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_74,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,X2)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_80,plain,
( animal(sK0)
| ~ wolf(sK0) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_220,plain,
! [X0: $i] :
( ~ grain(X0)
| ~ eats(sK0,X0) ),
inference(resolution,[status(thm)],[c_49,c_67]) ).
tcf(c_228,plain,
! [X0: $i] :
( ~ fox(X0)
| ~ eats(sK0,X0) ),
inference(resolution,[status(thm)],[c_49,c_66]) ).
tcf(c_236,plain,
! [X0: $i] :
( much_smaller(X0,sK0)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[c_49,c_65]) ).
tcf(c_255,plain,
much_smaller(sK1,sK0),
inference(resolution,[status(thm)],[c_50,c_236]) ).
tcf(c_259,plain,
~ eats(sK0,sK1),
inference(resolution,[status(thm)],[c_50,c_228]) ).
tcf(c_263,plain,
! [X0: $i] :
( much_smaller(X0,sK1)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[c_50,c_64]) ).
tcf(c_271,plain,
animal(sK1),
inference(resolution,[status(thm)],[c_50,c_55]) ).
tcf(c_280,plain,
~ eats(sK0,sK5),
inference(resolution,[status(thm)],[c_59,c_220]) ).
tcf(c_284,plain,
plant(sK5),
inference(resolution,[status(thm)],[c_59,c_60]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i] :
( ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,sK5)
| ~ eats(X0,X1) ),
inference(resolution,[status(thm)],[c_59,c_74]) ).
tcf(c_342,plain,
eats(sK4,sK7(sK4)),
inference(resolution,[status(thm)],[c_53,c_73]) ).
tcf(c_346,plain,
plant(sK7(sK4)),
inference(resolution,[status(thm)],[c_53,c_72]) ).
tcf(c_350,plain,
animal(sK4),
inference(resolution,[status(thm)],[c_53,c_58]) ).
tcf(c_354,plain,
! [X0: $i] :
( ~ bird(X0)
| ~ eats(X0,sK4) ),
inference(resolution,[status(thm)],[c_53,c_69]) ).
tcf(c_362,plain,
! [X0: $i] :
( much_smaller(sK4,X0)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[c_53,c_62]) ).
tcf(c_377,plain,
much_smaller(sK4,sK2),
inference(resolution,[status(thm)],[c_51,c_362]) ).
tcf(c_381,plain,
~ eats(sK2,sK4),
inference(resolution,[status(thm)],[c_51,c_354]) ).
tcf(c_393,plain,
much_smaller(sK2,sK1),
inference(resolution,[status(thm)],[c_51,c_263]) ).
tcf(c_397,plain,
animal(sK2),
inference(resolution,[status(thm)],[c_51,c_56]) ).
tcf(c_407,plain,
! [X0: $i,X1: $i] :
( eats(sK0,sK1)
| eats(sK0,X1)
| ~ animal(sK1)
| ~ animal(sK0)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(sK1,X0) ),
inference(resolution,[status(thm)],[c_61,c_255]) ).
tcf(c_409,plain,
! [X0: $i,X1: $i] :
( ~ eats(sK1,X0)
| ~ plant(X0)
| ~ plant(X1)
| eats(sK0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_49,c_80,c_259,c_271,c_407]) ).
tcf(c_410,plain,
! [X0: $i,X1: $i] :
( eats(sK0,X1)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(sK1,X0) ),
inference(renaming,[status(thm)],[c_409]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] :
( eats(sK2,sK4)
| eats(sK2,X1)
| ~ animal(sK4)
| ~ animal(sK2)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(sK4,X0) ),
inference(resolution,[status(thm)],[c_61,c_377]) ).
tcf(c_426,plain,
! [X0: $i,X1: $i] :
( ~ eats(sK4,X0)
| ~ plant(X0)
| ~ plant(X1)
| eats(sK2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_424,c_350,c_381,c_397,c_424]) ).
tcf(c_427,plain,
! [X0: $i,X1: $i] :
( eats(sK2,X1)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(sK4,X0) ),
inference(renaming,[status(thm)],[c_426]) ).
tcf(c_442,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_61,c_393]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i] :
( eats(sK1,sK2)
| eats(sK1,X1)
| ~ plant(X1)
| ~ plant(X0)
| ~ eats(sK2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_442,c_271,c_397,c_442]) ).
tcf(c_537,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ plant(X0)
| eats(sK1,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_444]) ).
tcf(c_538,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ plant(X0)
| ~ eats(sK2,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_444]) ).
tcf(c_539,plain,
( iPr_def_11
| iPr_def_10
| eats(sK1,sK2) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).
tcf(c_540,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ plant(X0)
| eats(sK2,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_427]) ).
tcf(c_541,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ plant(X0)
| ~ eats(sK4,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_427]) ).
tcf(c_542,plain,
( iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).
tcf(c_543,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ plant(X0)
| eats(sK0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_410]) ).
tcf(c_544,plain,
! [X0: $i] :
( ~ iPr_def_15
| ~ plant(X0)
| ~ eats(sK1,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_410]) ).
tcf(c_545,plain,
( iPr_def_15
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).
tcf(c_546,plain,
! [X0: $i,X1: $i] :
( ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,sK5)
| ~ eats(X0,X1) ),
inference(demodulation,[status(thm)],[c_288]) ).
tcf(c_553,plain,
( eats(sK2,sK5)
| ~ iPr_def_12
| ~ plant(sK5) ),
inference(instantiation,[status(thm)],[c_540]) ).
tcf(c_556,plain,
( eats(sK0,sK5)
| ~ iPr_def_14
| ~ plant(sK5) ),
inference(instantiation,[status(thm)],[c_543]) ).
tcf(c_559,plain,
! [X0: $i] :
( ~ animal(sK2)
| ~ animal(X0)
| ~ eats(sK2,sK5)
| ~ eats(X0,sK2) ),
inference(instantiation,[status(thm)],[c_546]) ).
tcf(c_563,plain,
( ~ iPr_def_13
| ~ plant(sK7(sK4))
| ~ eats(sK4,sK7(sK4)) ),
inference(instantiation,[status(thm)],[c_541]) ).
tcf(c_564,plain,
( ~ iPr_def_15
| ~ plant(sK5)
| ~ eats(sK1,sK5) ),
inference(instantiation,[status(thm)],[c_544]) ).
tcf(c_567,plain,
( ~ animal(sK2)
| ~ animal(sK1)
| ~ eats(sK2,sK5)
| ~ eats(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_559]) ).
tcf(c_568,plain,
( eats(sK1,sK5)
| ~ iPr_def_10
| ~ plant(sK5) ),
inference(instantiation,[status(thm)],[c_537]) ).
tcf(c_571,plain,
( ~ iPr_def_11
| ~ plant(sK5)
| ~ eats(sK2,sK5) ),
inference(instantiation,[status(thm)],[c_538]) ).
tcf(c_572,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_571,c_568,c_567,c_564,c_563,c_556,c_553,c_539,c_545,c_542,c_397,c_346,c_342,c_284,c_280,c_271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 06:43:28 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 0.93/1.29 % SZS status Started for theBenchmark.p
% 0.93/1.29 % SZS status Theorem for theBenchmark.p
% 0.93/1.29
% 0.93/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.93/1.29
% 0.93/1.29 % ------ iProver source info
% 0.93/1.29
% 0.93/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.93/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.93/1.29 % git: non_committed_changes: false
% 0.93/1.29
% 0.93/1.29 % ------ Parsing...
% 0.93/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.93/1.29
% 0.93/1.29 % ------ 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 %
% 0.93/1.29
% 0.93/1.29 % ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.93/1.29 % ------ Proving...
% 0.93/1.29 % ------ Problem Properties
% 0.93/1.29
% 0.93/1.29 %
% 0.93/1.29 % clauses 24
% 0.93/1.29 % conjectures 0
% 0.93/1.29 % EPR 20
% 0.93/1.29 % Horn 21
% 0.93/1.29 % unary 14
% 0.93/1.29 % binary 2
% 0.93/1.29 % lits 43
% 0.93/1.29 % lits eq 0
% 0.93/1.29 % fd_pure 0
% 0.93/1.29 % fd_pseudo 0
% 0.93/1.29 % fd_cond 0
% 0.93/1.29 % fd_pseudo_cond 0
% 0.93/1.29 % AC symbols 0
% 0.93/1.29
% 0.93/1.29 % ------ Schedule dynamic 5 is on
% 0.93/1.29
% 0.93/1.29 % ------ no conjectures: strip conj schedule
% 0.93/1.29
% 0.93/1.29 % ------ no equalities: superposition off
% 0.93/1.29
% 0.93/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.93/1.29
% 0.93/1.29
% 0.93/1.29 % ------
% 0.93/1.29 % Current options:
% 0.93/1.29 % ------
% 0.93/1.29
% 0.93/1.29
% 0.93/1.29 %
% 0.93/1.29
% 0.93/1.29 % ------ Proving...
% 0.93/1.29 %
% 0.93/1.29
% 0.93/1.29 % SZS status Theorem for theBenchmark.p
% 0.93/1.29
% 0.93/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.93/1.29
% 0.93/1.29
%------------------------------------------------------------------------------