%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 : Thu Sep 24 01:59:55 PM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 36
% Syntax : Number of formulae : 158 ( 30 unt; 18 def)
% Number of atoms : 400 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 458 ( 216 ~; 191 |; 19 &)
% ( 18 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 19 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 126 ( 112 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [A] : wolf(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
? [A] : fox(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
? [A] : bird(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
? [A] : snail(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( wolf(X)
=> animal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( fox(X)
=> animal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( bird(X)
=> animal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( snail(X)
=> animal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
? [A] : grain(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( grain(X)
=> plant(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] :
( animal(X)
=> ( ! [Y1] :
( ( ? [Z] :
( eats(Y1,Z)
& plant(Z) )
& much_smaller(Y1,X)
& animal(Y1) )
=> eats(X,Y1) )
| ! [Y] :
( plant(Y)
=> eats(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Y,X] :
( ( snail(X)
& bird(Y) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( ( fox(Y)
& bird(X) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y] :
( ( wolf(Y)
& fox(X) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] :
( ( grain(Y)
& wolf(X) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y] :
( ( snail(Y)
& bird(X) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( snail(X)
=> ? [Y] :
( eats(X,Y)
& plant(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,conjecture,
? [X,Y] :
( ? [Z] :
( eats(X,Y)
& eats(Y,Z)
& grain(Z) )
& animal(Y)
& animal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
~ ? [X,Y] :
( ? [Z] :
( eats(X,Y)
& eats(Y,Z)
& grain(Z) )
& animal(Y)
& animal(X) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f26,plain,
wolf(sK0_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(A,sK0_skl)],[f1]) ).
fof(f27,plain,
wolf(sK0_skl),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f28,plain,
fox(sK1_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(A,sK1_skl)],[f2]) ).
fof(f29,plain,
fox(sK1_skl),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
bird(sK2_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(A,sK2_skl)],[f3]) ).
fof(f31,plain,
bird(sK2_skl),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f34,plain,
snail(sK4_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(A,sK4_skl)],[f5]) ).
fof(f35,plain,
snail(sK4_skl),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X] :
( animal(X)
| ~ wolf(X) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f37,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
! [X] :
( animal(X)
| ~ fox(X) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f39,plain,
! [X0] :
( animal(X0)
| ~ fox(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [X] :
( animal(X)
| ~ bird(X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f41,plain,
! [X0] :
( animal(X0)
| ~ bird(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f44,plain,
! [X] :
( animal(X)
| ~ snail(X) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f45,plain,
! [X0] :
( animal(X0)
| ~ snail(X0) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f46,plain,
grain(sK5_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(A,sK5_skl)],[f11]) ).
fof(f47,plain,
grain(sK5_skl),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f48,plain,
! [X] :
( plant(X)
| ~ grain(X) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f49,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [X] :
( ! [Y1] :
( eats(X,Y1)
| ! [Z] :
( ~ eats(Y1,Z)
| ~ plant(Z) )
| ~ much_smaller(Y1,X)
| ~ animal(Y1) )
| ! [Y] :
( eats(X,Y)
| ~ plant(Y) )
| ~ animal(X) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( eats(X0,X2)
| ~ eats(X2,X3)
| ~ plant(X3)
| ~ much_smaller(X2,X0)
| ~ animal(X2)
| eats(X0,X1)
| ~ plant(X1)
| ~ animal(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [Y,X] :
( much_smaller(X,Y)
| ~ snail(X)
| ~ bird(Y) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f53,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f56,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ fox(Y)
| ~ bird(X) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f57,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ wolf(Y)
| ~ fox(X) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f59,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f62,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ grain(Y)
| ~ wolf(X) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f63,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f66,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ snail(Y)
| ~ bird(X) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f67,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f72,plain,
! [X] :
( ? [Y] :
( eats(X,Y)
& plant(Y) )
| ~ snail(X) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f73,plain,
! [X] :
( ( eats(X,sK7_skl(X))
& plant(sK7_skl(X)) )
| ~ snail(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(Y,sK7_skl(X))],[f72]) ).
fof(f74,plain,
! [X0] :
( plant(sK7_skl(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
! [X0] :
( eats(X0,sK7_skl(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f76,plain,
! [X,Y] :
( ! [Z] :
( ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z) )
| ~ animal(Y)
| ~ animal(X) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f77,plain,
! [X,Y] :
( ~ eats(X,Y)
| ! [Z] :
( ~ eats(Y,Z)
| ~ grain(Z) )
| ~ animal(Y)
| ~ animal(X) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f79,plain,
! [X0] :
( ~ eats(X0,sK5_skl)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[f47,f63]) ).
fof(f80,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ eats(X1,sK5_skl)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[f47,f78]) ).
fof(f81,plain,
animal(sK0_skl),
inference(resolution,[status(thm)],[f37,f27]) ).
fof(f95,plain,
animal(sK1_skl),
inference(resolution,[status(thm)],[f39,f29]) ).
fof(f97,plain,
! [X0,X1] :
( ~ eats(X0,sK1_skl)
| ~ eats(sK1_skl,X1)
| ~ grain(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[f95,f78]) ).
fof(f98,definition,
! [X0] :
( sQ3_spl
<=> ( ~ eats(X0,sK1_skl)
| ~ animal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f99,plain,
! [X0] :
( ~ sQ3_spl
| ~ eats(X0,sK1_skl)
| ~ animal(X0) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f105,definition,
! [X1] :
( sQ5_spl
<=> ( ~ eats(sK1_skl,X1)
| ~ grain(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f106,plain,
! [X0] :
( ~ sQ5_spl
| ~ eats(sK1_skl,X0)
| ~ grain(X0) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( sQ5_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f97,f98,f105]) ).
fof(f109,plain,
animal(sK2_skl),
inference(resolution,[status(thm)],[f41,f31]) ).
fof(f110,plain,
! [X0] :
( ~ eats(X0,sK2_skl)
| ~ eats(sK2_skl,sK5_skl)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[f109,f80]) ).
fof(f112,definition,
! [X0] :
( sQ6_spl
<=> ( ~ eats(X0,sK2_skl)
| ~ animal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f113,plain,
! [X0] :
( ~ sQ6_spl
| ~ eats(X0,sK2_skl)
| ~ animal(X0) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,definition,
( sQ7_spl
<=> eats(sK2_skl,sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( sQ7_spl
| ~ eats(sK2_skl,sK5_skl) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f110,f112,f115]) ).
fof(f137,plain,
animal(sK4_skl),
inference(resolution,[status(thm)],[f45,f35]) ).
fof(f151,plain,
! [X0] :
( much_smaller(sK4_skl,X0)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[f53,f35]) ).
fof(f153,plain,
much_smaller(sK4_skl,sK2_skl),
inference(resolution,[status(thm)],[f151,f31]) ).
fof(f154,plain,
! [X0,X1] :
( eats(sK2_skl,sK4_skl)
| ~ eats(sK4_skl,X1)
| ~ plant(X1)
| ~ animal(sK4_skl)
| eats(sK2_skl,X0)
| ~ plant(X0)
| ~ animal(sK2_skl) ),
inference(resolution,[status(thm)],[f153,f51]) ).
fof(f155,definition,
( sQ15_spl
<=> animal(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( sQ15_spl
| ~ animal(sK2_skl) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,definition,
! [X0] :
( sQ16_spl
<=> ( eats(sK2_skl,X0)
| ~ plant(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f159,plain,
! [X0] :
( ~ sQ16_spl
| eats(sK2_skl,X0)
| ~ plant(X0) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,definition,
( sQ17_spl
<=> animal(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( sQ17_spl
| ~ animal(sK4_skl) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,definition,
! [X1] :
( sQ18_spl
<=> ( ~ eats(sK4_skl,X1)
| ~ plant(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f165,plain,
! [X0] :
( ~ sQ18_spl
| ~ eats(sK4_skl,X0)
| ~ plant(X0) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
( sQ19_spl
<=> eats(sK2_skl,sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ19_spl
| eats(sK2_skl,sK4_skl) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,plain,
( sQ19_spl
| sQ18_spl
| ~ sQ17_spl
| sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f154,f155,f158,f161,f164,f167]) ).
fof(f188,plain,
! [X0] :
( ~ sQ16_spl
| ~ grain(X0)
| eats(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f159,f49]) ).
fof(f189,plain,
( ~ sQ16_spl
| eats(sK2_skl,sK5_skl) ),
inference(resolution,[status(thm)],[f188,f47]) ).
fof(f191,plain,
! [X0] :
( much_smaller(sK2_skl,X0)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[f57,f31]) ).
fof(f192,plain,
! [X0] :
( much_smaller(sK1_skl,X0)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[f59,f29]) ).
fof(f194,plain,
much_smaller(sK2_skl,sK1_skl),
inference(resolution,[status(thm)],[f191,f29]) ).
fof(f195,plain,
! [X0,X1] :
( eats(sK1_skl,sK2_skl)
| ~ eats(sK2_skl,X1)
| ~ plant(X1)
| ~ animal(sK2_skl)
| eats(sK1_skl,X0)
| ~ plant(X0)
| ~ animal(sK1_skl) ),
inference(resolution,[status(thm)],[f194,f51]) ).
fof(f196,definition,
( sQ23_spl
<=> animal(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( sQ23_spl
| ~ animal(sK1_skl) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
! [X0] :
( sQ24_spl
<=> ( eats(sK1_skl,X0)
| ~ plant(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f200,plain,
! [X0] :
( ~ sQ24_spl
| eats(sK1_skl,X0)
| ~ plant(X0) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,definition,
! [X1] :
( sQ25_spl
<=> ( ~ eats(sK2_skl,X1)
| ~ plant(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f203,plain,
! [X0] :
( ~ sQ25_spl
| ~ eats(sK2_skl,X0)
| ~ plant(X0) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,definition,
( sQ26_spl
<=> eats(sK1_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ26_spl
| eats(sK1_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( sQ26_spl
| sQ25_spl
| ~ sQ15_spl
| sQ24_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f195,f196,f199,f155,f202,f205]) ).
fof(f209,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f157,f109]) ).
fof(f210,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f209]) ).
fof(f213,plain,
( ~ sQ6_spl
| ~ sQ26_spl
| ~ animal(sK1_skl) ),
inference(resolution,[status(thm)],[f206,f113]) ).
fof(f214,plain,
( ~ sQ6_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f213,f95]) ).
fof(f215,plain,
( ~ sQ6_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f214]) ).
fof(f216,plain,
( sQ7_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f117,f189]) ).
fof(f217,plain,
( sQ7_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f216]) ).
fof(f218,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f163,f137]) ).
fof(f219,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f218]) ).
fof(f220,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f198,f95]) ).
fof(f221,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f220]) ).
fof(f224,plain,
! [X0] :
( ~ eats(X0,sK4_skl)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[f67,f35]) ).
fof(f227,plain,
much_smaller(sK1_skl,sK0_skl),
inference(resolution,[status(thm)],[f192,f27]) ).
fof(f228,plain,
! [X0,X1] :
( eats(sK0_skl,sK1_skl)
| ~ eats(sK1_skl,X1)
| ~ plant(X1)
| ~ animal(sK1_skl)
| eats(sK0_skl,X0)
| ~ plant(X0)
| ~ animal(sK0_skl) ),
inference(resolution,[status(thm)],[f227,f51]) ).
fof(f229,definition,
( sQ27_spl
<=> animal(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( sQ27_spl
| ~ animal(sK0_skl) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
! [X0] :
( sQ28_spl
<=> ( eats(sK0_skl,X0)
| ~ plant(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f233,plain,
! [X0] :
( ~ sQ28_spl
| eats(sK0_skl,X0)
| ~ plant(X0) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
! [X1] :
( sQ29_spl
<=> ( ~ eats(sK1_skl,X1)
| ~ plant(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f236,plain,
! [X0] :
( ~ sQ29_spl
| ~ eats(sK1_skl,X0)
| ~ plant(X0) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ30_spl
<=> eats(sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ30_spl
| eats(sK0_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( sQ30_spl
| sQ29_spl
| ~ sQ23_spl
| sQ28_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f228,f229,f232,f196,f235,f238]) ).
fof(f242,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f231,f81]) ).
fof(f243,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( ~ sQ3_spl
| ~ sQ30_spl
| ~ animal(sK0_skl) ),
inference(resolution,[status(thm)],[f239,f99]) ).
fof(f245,plain,
( ~ sQ3_spl
| ~ sQ30_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f244,f229,f238,f98]) ).
fof(f258,plain,
! [X0] :
( ~ sQ24_spl
| ~ grain(X0)
| eats(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f200,f49]) ).
fof(f259,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ5_spl
| ~ grain(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f106]) ).
fof(f260,plain,
( ~ sQ24_spl
| ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f47,f259]) ).
fof(f261,plain,
( ~ sQ24_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f260]) ).
fof(f269,plain,
! [X0] :
( ~ sQ18_spl
| ~ snail(X0)
| ~ eats(sK4_skl,sK7_skl(X0)) ),
inference(resolution,[status(thm)],[f165,f74]) ).
fof(f277,plain,
! [X0] :
( ~ sQ29_spl
| ~ grain(X0)
| ~ eats(sK1_skl,X0) ),
inference(resolution,[status(thm)],[f236,f49]) ).
fof(f280,plain,
! [X0] :
( ~ sQ28_spl
| ~ grain(X0)
| eats(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f233,f49]) ).
fof(f283,plain,
! [X0] :
( ~ sQ25_spl
| ~ grain(X0)
| ~ eats(sK2_skl,X0) ),
inference(resolution,[status(thm)],[f203,f49]) ).
fof(f285,plain,
( ~ sQ18_spl
| ~ snail(sK4_skl)
| ~ snail(sK4_skl) ),
inference(resolution,[status(thm)],[f269,f75]) ).
fof(f286,definition,
( sQ33_spl
<=> snail(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( sQ33_spl
| ~ snail(sK4_skl) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( ~ sQ18_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f285,f286,f164]) ).
fof(f290,plain,
( sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f288,f35]) ).
fof(f291,plain,
sQ33_spl,
inference(contradiction_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( ~ sQ28_spl
| eats(sK0_skl,sK5_skl) ),
inference(resolution,[status(thm)],[f280,f47]) ).
fof(f294,plain,
( ~ sQ28_spl
| ~ wolf(sK0_skl) ),
inference(resolution,[status(thm)],[f293,f79]) ).
fof(f295,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f294,f27]) ).
fof(f296,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( ~ sQ29_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f277,f105,f235]) ).
fof(f300,plain,
( ~ sQ25_spl
| ~ sQ16_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f47,f301]) ).
fof(f301,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ16_spl
| ~ grain(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f283,f188]) ).
fof(f302,plain,
( ~ sQ25_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f300]) ).
fof(f305,plain,
( ~ sQ19_spl
| ~ bird(sK2_skl) ),
inference(resolution,[status(thm)],[f168,f224]) ).
fof(f306,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f31]) ).
fof(f307,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f306]) ).
fof(f308,plain,
$false,
inference(sat_refutation,[status(thm)],[f108,f118,f170,f208,f210,f215,f217,f219,f221,f241,f243,f245,f261,f289,f291,f296,f297,f302,f307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 03:48:13 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.42 % Elapsed time: 0.048352 seconds
% 0.15/0.42 % CPU time: 0.126076 seconds
% 0.15/0.42 % Total memory used: 17.428 MB
% 0.15/0.42 % Net memory used: 17.152 MB
%------------------------------------------------------------------------------