%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS147+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 08:47:22 AM UTC 2026
% Result : Theorem 120.12s 120.47s
% Output : Proof 120.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 31
% Syntax : Number of formulae : 250 ( 135 unt; 0 def)
% Number of atoms : 813 ( 0 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 977 ( 414 ~; 387 |; 161 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 3 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-1 aty)
% Number of variables : 204 ( 2 sgn 128 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X] :
( cC10(X)
<=> ( cC8(X)
& cC4(X) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_4,axiom,
! [X] :
( cC14(X)
<=> ? [Y] :
( cTOP(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_7,axiom,
! [X] :
( cC20(X)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_14,axiom,
! [X] :
( cC34(X)
<=> ? [Y] :
( ~ cC32(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_14) ).
fof(axiom_17,axiom,
! [X] :
( cC4(X)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_17) ).
fof(axiom_22,axiom,
! [X] :
( cC48(X)
<=> ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_22) ).
fof(axiom_27,axiom,
! [X] :
( cC58(X)
<=> ? [Y] :
( cC2(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_27) ).
fof(axiom_29,axiom,
! [X] :
( cC60(X)
<=> ( ~ cC2(X)
& cC58(X) ) ),
file('theBenchmark.p',axiom_29) ).
fof(axiom_30,axiom,
! [X] :
( cC62(X)
<=> ? [Y] :
( cC60(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_30) ).
fof(axiom_39,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( ~ cC6(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_39) ).
fof(axiom_40,axiom,
! [X] :
( cC80(X)
<=> ( ~ cC78(X)
& ~ cC2(X) ) ),
file('theBenchmark.p',axiom_40) ).
fof(axiom_41,axiom,
! [X] :
( cC82(X)
<=> ? [Y] :
( cC80(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_41) ).
fof(axiom_52,axiom,
cowlThing(iV8467),
file('theBenchmark.p',axiom_52) ).
fof(axiom_55,axiom,
rR1(iV8467,iV8471),
file('theBenchmark.p',axiom_55) ).
fof(axiom_58,axiom,
rR1(iV8467,iV8469),
file('theBenchmark.p',axiom_58) ).
fof(axiom_60,axiom,
rR1(iV8467,iV8472),
file('theBenchmark.p',axiom_60) ).
fof(axiom_61,axiom,
rR1(iV8467,iV8474),
file('theBenchmark.p',axiom_61) ).
fof(axiom_62,axiom,
rR1(iV8467,iV8470),
file('theBenchmark.p',axiom_62) ).
fof(axiom_65,axiom,
~ cC6(iV8469),
file('theBenchmark.p',axiom_65) ).
fof(axiom_68,axiom,
cTOP(iV8470),
file('theBenchmark.p',axiom_68) ).
fof(axiom_70,axiom,
~ cC2(iV8471),
file('theBenchmark.p',axiom_70) ).
fof(axiom_71,axiom,
~ cC78(iV8471),
file('theBenchmark.p',axiom_71) ).
fof(axiom_72,axiom,
cowlThing(iV8471),
file('theBenchmark.p',axiom_72) ).
fof(axiom_74,axiom,
~ cC2(iV8472),
file('theBenchmark.p',axiom_74) ).
fof(axiom_75,axiom,
cowlThing(iV8472),
file('theBenchmark.p',axiom_75) ).
fof(axiom_76,axiom,
rR1(iV8472,iV8476),
file('theBenchmark.p',axiom_76) ).
fof(axiom_80,axiom,
~ cC32(iV8474),
file('theBenchmark.p',axiom_80) ).
fof(axiom_84,axiom,
cC2(iV8476),
file('theBenchmark.p',axiom_84) ).
fof(the_axiom,conjecture,
( cC58(iV8472)
& cowlThing(iV8472)
& cC60(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC34(iV8467)
& cC62(iV8467)
& cowlThing(iV8467)
& cC20(iV8467)
& cC8(iV8467)
& cC14(iV8467)
& cC82(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC10(iV8467)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('theBenchmark.p',the_axiom) ).
fof(f_1_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_1_2,plain,
! [U_0] :
( ~ cowlNothing(U_0)
& cowlThing(U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_2] : ~ cowlNothing(U_2)
& ! [U_1] : cowlThing(U_1) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
cowlThing(U_1),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,plain,
~ cowlNothing(U_2),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_2_2,plain,
! [U_3] :
( ( xsd_string(U_3)
| xsd_integer(U_3) )
& ( ~ xsd_integer(U_3)
| ~ xsd_string(U_3) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_5] :
( xsd_string(U_5)
| xsd_integer(U_5) )
& ! [U_4] :
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
cnf(f_2_4,plain,
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_5,plain,
( xsd_string(U_5)
| xsd_integer(U_5) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [X] :
( ( cC10(X)
| ~ cC8(X)
| ~ cC4(X) )
& ( ( cC8(X)
& cC4(X) )
| ~ cC10(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_6] :
( ( cC10(U_6)
| ~ cC8(U_6)
| ~ cC4(U_6) )
& ( ( cC8(U_6)
& cC4(U_6) )
| ~ cC10(U_6) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_8] :
( cC10(U_8)
| ~ cC8(U_8)
| ~ cC4(U_8) )
& ! [U_7] :
( ( cC8(U_7)
& cC4(U_7) )
| ~ cC10(U_7) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
cnf(f_3_6,plain,
( cC10(U_8)
| ~ cC8(U_8)
| ~ cC4(U_8) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_5_1,plain,
! [X] :
( ( cC14(X)
| ! [Y] :
( ~ cTOP(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cTOP(Y)
& rR1(X,Y) )
| ~ cC14(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_16] :
( ( cC14(U_16)
| ! [U_15] :
( ~ cTOP(U_15)
| ~ rR1(U_16,U_15) ) )
& ( ? [U_14] :
( cTOP(U_14)
& rR1(U_16,U_14) )
| ~ cC14(U_16) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_18] :
( cC14(U_18)
| ! [U_15] :
( ~ cTOP(U_15)
| ~ rR1(U_18,U_15) ) )
& ! [U_17] :
( ? [U_14] :
( cTOP(U_14)
& rR1(U_17,U_14) )
| ~ cC14(U_17) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_18] :
( cC14(U_18)
| ! [U_15] :
( ~ cTOP(U_15)
| ~ rR1(U_18,U_15) ) )
& ! [U_17] :
( ( cTOP(sK2(U_17))
& rR1(U_17,sK2(U_17)) )
| ~ cC14(U_17) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_14,sK2(U_17))],[f_5_3]) ).
cnf(f_5_7,plain,
( cC14(U_18)
| ~ cTOP(U_15)
| ~ rR1(U_18,U_15) ),
inference(clausify,[status(thm)],[f_5_4]) ).
fof(f_8_1,plain,
! [X] :
( ( cC20(X)
| ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC20(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_8_2,plain,
! [U_29] :
( ( cC20(U_29)
| ! [U_28] :
( cC2(U_28)
| ~ rR1(U_29,U_28) ) )
& ( ? [U_27] :
( ~ cC2(U_27)
& rR1(U_29,U_27) )
| ~ cC20(U_29) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_31] :
( cC20(U_31)
| ! [U_28] :
( cC2(U_28)
| ~ rR1(U_31,U_28) ) )
& ! [U_30] :
( ? [U_27] :
( ~ cC2(U_27)
& rR1(U_30,U_27) )
| ~ cC20(U_30) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_31] :
( cC20(U_31)
| ! [U_28] :
( cC2(U_28)
| ~ rR1(U_31,U_28) ) )
& ! [U_30] :
( ( ~ cC2(sK4(U_30))
& rR1(U_30,sK4(U_30)) )
| ~ cC20(U_30) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_27,sK4(U_30))],[f_8_3]) ).
cnf(f_8_7,plain,
( cC20(U_31)
| cC2(U_28)
| ~ rR1(U_31,U_28) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_15_1,plain,
! [X] :
( ( cC34(X)
| ! [Y] :
( cC32(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( ~ cC32(Y)
& rR1(X,Y) )
| ~ cC34(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
fof(f_15_2,plain,
! [U_60] :
( ( cC34(U_60)
| ! [U_59] :
( cC32(U_59)
| ~ rR1(U_60,U_59) ) )
& ( ? [U_58] :
( ~ cC32(U_58)
& rR1(U_60,U_58) )
| ~ cC34(U_60) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_62] :
( cC34(U_62)
| ! [U_59] :
( cC32(U_59)
| ~ rR1(U_62,U_59) ) )
& ! [U_61] :
( ? [U_58] :
( ~ cC32(U_58)
& rR1(U_61,U_58) )
| ~ cC34(U_61) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
( ! [U_62] :
( cC34(U_62)
| ! [U_59] :
( cC32(U_59)
| ~ rR1(U_62,U_59) ) )
& ! [U_61] :
( ( ~ cC32(sK9(U_61))
& rR1(U_61,sK9(U_61)) )
| ~ cC34(U_61) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_58,sK9(U_61))],[f_15_3]) ).
cnf(f_15_7,plain,
( cC34(U_62)
| cC32(U_59)
| ~ rR1(U_62,U_59) ),
inference(clausify,[status(thm)],[f_15_4]) ).
fof(f_18_1,plain,
! [X] :
( ( cC4(X)
| ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC4(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_17]) ).
fof(f_18_2,plain,
! [U_75] :
( ( cC4(U_75)
| ! [U_74] :
( cC2(U_74)
| ~ rR1(U_75,U_74) ) )
& ( ? [U_73] :
( ~ cC2(U_73)
& rR1(U_75,U_73) )
| ~ cC4(U_75) ) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
( ! [U_77] :
( cC4(U_77)
| ! [U_74] :
( cC2(U_74)
| ~ rR1(U_77,U_74) ) )
& ! [U_76] :
( ? [U_73] :
( ~ cC2(U_73)
& rR1(U_76,U_73) )
| ~ cC4(U_76) ) ),
inference(miniscope,[status(thm)],[f_18_2]) ).
fof(f_18_4,plain,
( ! [U_77] :
( cC4(U_77)
| ! [U_74] :
( cC2(U_74)
| ~ rR1(U_77,U_74) ) )
& ! [U_76] :
( ( ~ cC2(sK12(U_76))
& rR1(U_76,sK12(U_76)) )
| ~ cC4(U_76) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_73,sK12(U_76))],[f_18_3]) ).
cnf(f_18_7,plain,
( cC4(U_77)
| cC2(U_74)
| ~ rR1(U_77,U_74) ),
inference(clausify,[status(thm)],[f_18_4]) ).
fof(f_23_1,plain,
! [X] :
( ( cC48(X)
| ! [Y] :
( cC2(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( ~ cC2(Y)
& rR1(X,Y) )
| ~ cC48(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_22]) ).
fof(f_23_2,plain,
! [U_96] :
( ( cC48(U_96)
| ! [U_95] :
( cC2(U_95)
| ~ rR1(U_96,U_95) ) )
& ( ? [U_94] :
( ~ cC2(U_94)
& rR1(U_96,U_94) )
| ~ cC48(U_96) ) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
( ! [U_98] :
( cC48(U_98)
| ! [U_95] :
( cC2(U_95)
| ~ rR1(U_98,U_95) ) )
& ! [U_97] :
( ? [U_94] :
( ~ cC2(U_94)
& rR1(U_97,U_94) )
| ~ cC48(U_97) ) ),
inference(miniscope,[status(thm)],[f_23_2]) ).
fof(f_23_4,plain,
( ! [U_98] :
( cC48(U_98)
| ! [U_95] :
( cC2(U_95)
| ~ rR1(U_98,U_95) ) )
& ! [U_97] :
( ( ~ cC2(sK15(U_97))
& rR1(U_97,sK15(U_97)) )
| ~ cC48(U_97) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_94,sK15(U_97))],[f_23_3]) ).
cnf(f_23_7,plain,
( cC48(U_98)
| cC2(U_95)
| ~ rR1(U_98,U_95) ),
inference(clausify,[status(thm)],[f_23_4]) ).
fof(f_28_1,plain,
! [X] :
( ( cC58(X)
| ! [Y] :
( ~ cC2(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2(Y)
& rR1(X,Y) )
| ~ cC58(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_27]) ).
fof(f_28_2,plain,
! [U_117] :
( ( cC58(U_117)
| ! [U_116] :
( ~ cC2(U_116)
| ~ rR1(U_117,U_116) ) )
& ( ? [U_115] :
( cC2(U_115)
& rR1(U_117,U_115) )
| ~ cC58(U_117) ) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
( ! [U_119] :
( cC58(U_119)
| ! [U_116] :
( ~ cC2(U_116)
| ~ rR1(U_119,U_116) ) )
& ! [U_118] :
( ? [U_115] :
( cC2(U_115)
& rR1(U_118,U_115) )
| ~ cC58(U_118) ) ),
inference(miniscope,[status(thm)],[f_28_2]) ).
fof(f_28_4,plain,
( ! [U_119] :
( cC58(U_119)
| ! [U_116] :
( ~ cC2(U_116)
| ~ rR1(U_119,U_116) ) )
& ! [U_118] :
( ( cC2(sK18(U_118))
& rR1(U_118,sK18(U_118)) )
| ~ cC58(U_118) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_115,sK18(U_118))],[f_28_3]) ).
cnf(f_28_7,plain,
( cC58(U_119)
| ~ cC2(U_116)
| ~ rR1(U_119,U_116) ),
inference(clausify,[status(thm)],[f_28_4]) ).
fof(f_30_1,plain,
! [X] :
( ( cC60(X)
| cC2(X)
| ~ cC58(X) )
& ( ( ~ cC2(X)
& cC58(X) )
| ~ cC60(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_29]) ).
fof(f_30_2,plain,
! [U_125] :
( ( cC60(U_125)
| cC2(U_125)
| ~ cC58(U_125) )
& ( ( ~ cC2(U_125)
& cC58(U_125) )
| ~ cC60(U_125) ) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
( ! [U_127] :
( cC60(U_127)
| cC2(U_127)
| ~ cC58(U_127) )
& ! [U_126] :
( ( ~ cC2(U_126)
& cC58(U_126) )
| ~ cC60(U_126) ) ),
inference(miniscope,[status(thm)],[f_30_2]) ).
cnf(f_30_4,plain,
( cC58(U_126)
| ~ cC60(U_126) ),
inference(clausify,[status(thm)],[f_30_3]) ).
cnf(f_30_6,plain,
( cC60(U_127)
| cC2(U_127)
| ~ cC58(U_127) ),
inference(clausify,[status(thm)],[f_30_3]) ).
fof(f_31_1,plain,
! [X] :
( ( cC62(X)
| ! [Y] :
( ~ cC60(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC60(Y)
& rR1(X,Y) )
| ~ cC62(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_30]) ).
fof(f_31_2,plain,
! [U_130] :
( ( cC62(U_130)
| ! [U_129] :
( ~ cC60(U_129)
| ~ rR1(U_130,U_129) ) )
& ( ? [U_128] :
( cC60(U_128)
& rR1(U_130,U_128) )
| ~ cC62(U_130) ) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
( ! [U_132] :
( cC62(U_132)
| ! [U_129] :
( ~ cC60(U_129)
| ~ rR1(U_132,U_129) ) )
& ! [U_131] :
( ? [U_128] :
( cC60(U_128)
& rR1(U_131,U_128) )
| ~ cC62(U_131) ) ),
inference(miniscope,[status(thm)],[f_31_2]) ).
fof(f_31_4,plain,
( ! [U_132] :
( cC62(U_132)
| ! [U_129] :
( ~ cC60(U_129)
| ~ rR1(U_132,U_129) ) )
& ! [U_131] :
( ( cC60(sK20(U_131))
& rR1(U_131,sK20(U_131)) )
| ~ cC62(U_131) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_128,sK20(U_131))],[f_31_3]) ).
cnf(f_31_7,plain,
( cC62(U_132)
| ~ cC60(U_129)
| ~ rR1(U_132,U_129) ),
inference(clausify,[status(thm)],[f_31_4]) ).
fof(f_40_1,plain,
! [X] :
( ( cC8(X)
| ! [Y] :
( cC6(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( ~ cC6(Y)
& rR1(X,Y) )
| ~ cC8(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_39]) ).
fof(f_40_2,plain,
! [U_169] :
( ( cC8(U_169)
| ! [U_168] :
( cC6(U_168)
| ~ rR1(U_169,U_168) ) )
& ( ? [U_167] :
( ~ cC6(U_167)
& rR1(U_169,U_167) )
| ~ cC8(U_169) ) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
( ! [U_171] :
( cC8(U_171)
| ! [U_168] :
( cC6(U_168)
| ~ rR1(U_171,U_168) ) )
& ! [U_170] :
( ? [U_167] :
( ~ cC6(U_167)
& rR1(U_170,U_167) )
| ~ cC8(U_170) ) ),
inference(miniscope,[status(thm)],[f_40_2]) ).
fof(f_40_4,plain,
( ! [U_171] :
( cC8(U_171)
| ! [U_168] :
( cC6(U_168)
| ~ rR1(U_171,U_168) ) )
& ! [U_170] :
( ( ~ cC6(sK26(U_170))
& rR1(U_170,sK26(U_170)) )
| ~ cC8(U_170) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_167,sK26(U_170))],[f_40_3]) ).
cnf(f_40_7,plain,
( cC8(U_171)
| cC6(U_168)
| ~ rR1(U_171,U_168) ),
inference(clausify,[status(thm)],[f_40_4]) ).
fof(f_41_1,plain,
! [X] :
( ( cC80(X)
| cC78(X)
| cC2(X) )
& ( ( ~ cC78(X)
& ~ cC2(X) )
| ~ cC80(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_40]) ).
fof(f_41_2,plain,
! [U_172] :
( ( cC80(U_172)
| cC78(U_172)
| cC2(U_172) )
& ( ( ~ cC78(U_172)
& ~ cC2(U_172) )
| ~ cC80(U_172) ) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
( ! [U_174] :
( cC80(U_174)
| cC78(U_174)
| cC2(U_174) )
& ! [U_173] :
( ( ~ cC78(U_173)
& ~ cC2(U_173) )
| ~ cC80(U_173) ) ),
inference(miniscope,[status(thm)],[f_41_2]) ).
cnf(f_41_6,plain,
( cC80(U_174)
| cC78(U_174)
| cC2(U_174) ),
inference(clausify,[status(thm)],[f_41_3]) ).
fof(f_42_1,plain,
! [X] :
( ( cC82(X)
| ! [Y] :
( ~ cC80(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC80(Y)
& rR1(X,Y) )
| ~ cC82(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_41]) ).
fof(f_42_2,plain,
! [U_177] :
( ( cC82(U_177)
| ! [U_176] :
( ~ cC80(U_176)
| ~ rR1(U_177,U_176) ) )
& ( ? [U_175] :
( cC80(U_175)
& rR1(U_177,U_175) )
| ~ cC82(U_177) ) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
( ! [U_179] :
( cC82(U_179)
| ! [U_176] :
( ~ cC80(U_176)
| ~ rR1(U_179,U_176) ) )
& ! [U_178] :
( ? [U_175] :
( cC80(U_175)
& rR1(U_178,U_175) )
| ~ cC82(U_178) ) ),
inference(miniscope,[status(thm)],[f_42_2]) ).
fof(f_42_4,plain,
( ! [U_179] :
( cC82(U_179)
| ! [U_176] :
( ~ cC80(U_176)
| ~ rR1(U_179,U_176) ) )
& ! [U_178] :
( ( cC80(sK27(U_178))
& rR1(U_178,sK27(U_178)) )
| ~ cC82(U_178) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_175,sK27(U_178))],[f_42_3]) ).
cnf(f_42_7,plain,
( cC82(U_179)
| ~ cC80(U_176)
| ~ rR1(U_179,U_176) ),
inference(clausify,[status(thm)],[f_42_4]) ).
fof(f_53_1,plain,
cowlThing(iV8467),
inference(fof_nnf,[status(thm)],[axiom_52]) ).
cnf(f_53_2,plain,
cowlThing(iV8467),
inference(clausify,[status(thm)],[f_53_1]) ).
fof(f_56_1,plain,
rR1(iV8467,iV8471),
inference(fof_nnf,[status(thm)],[axiom_55]) ).
cnf(f_56_2,plain,
rR1(iV8467,iV8471),
inference(clausify,[status(thm)],[f_56_1]) ).
fof(f_59_1,plain,
rR1(iV8467,iV8469),
inference(fof_nnf,[status(thm)],[axiom_58]) ).
cnf(f_59_2,plain,
rR1(iV8467,iV8469),
inference(clausify,[status(thm)],[f_59_1]) ).
fof(f_61_1,plain,
rR1(iV8467,iV8472),
inference(fof_nnf,[status(thm)],[axiom_60]) ).
cnf(f_61_2,plain,
rR1(iV8467,iV8472),
inference(clausify,[status(thm)],[f_61_1]) ).
fof(f_62_1,plain,
rR1(iV8467,iV8474),
inference(fof_nnf,[status(thm)],[axiom_61]) ).
cnf(f_62_2,plain,
rR1(iV8467,iV8474),
inference(clausify,[status(thm)],[f_62_1]) ).
fof(f_63_1,plain,
rR1(iV8467,iV8470),
inference(fof_nnf,[status(thm)],[axiom_62]) ).
cnf(f_63_2,plain,
rR1(iV8467,iV8470),
inference(clausify,[status(thm)],[f_63_1]) ).
fof(f_66_1,plain,
~ cC6(iV8469),
inference(fof_nnf,[status(thm)],[axiom_65]) ).
cnf(f_66_2,plain,
~ cC6(iV8469),
inference(clausify,[status(thm)],[f_66_1]) ).
fof(f_69_1,plain,
cTOP(iV8470),
inference(fof_nnf,[status(thm)],[axiom_68]) ).
cnf(f_69_2,plain,
cTOP(iV8470),
inference(clausify,[status(thm)],[f_69_1]) ).
fof(f_71_1,plain,
~ cC2(iV8471),
inference(fof_nnf,[status(thm)],[axiom_70]) ).
cnf(f_71_2,plain,
~ cC2(iV8471),
inference(clausify,[status(thm)],[f_71_1]) ).
fof(f_72_1,plain,
~ cC78(iV8471),
inference(fof_nnf,[status(thm)],[axiom_71]) ).
cnf(f_72_2,plain,
~ cC78(iV8471),
inference(clausify,[status(thm)],[f_72_1]) ).
fof(f_73_1,plain,
cowlThing(iV8471),
inference(fof_nnf,[status(thm)],[axiom_72]) ).
cnf(f_73_2,plain,
cowlThing(iV8471),
inference(clausify,[status(thm)],[f_73_1]) ).
fof(f_75_1,plain,
~ cC2(iV8472),
inference(fof_nnf,[status(thm)],[axiom_74]) ).
cnf(f_75_2,plain,
~ cC2(iV8472),
inference(clausify,[status(thm)],[f_75_1]) ).
fof(f_76_1,plain,
cowlThing(iV8472),
inference(fof_nnf,[status(thm)],[axiom_75]) ).
cnf(f_76_2,plain,
cowlThing(iV8472),
inference(clausify,[status(thm)],[f_76_1]) ).
fof(f_77_1,plain,
rR1(iV8472,iV8476),
inference(fof_nnf,[status(thm)],[axiom_76]) ).
cnf(f_77_2,plain,
rR1(iV8472,iV8476),
inference(clausify,[status(thm)],[f_77_1]) ).
fof(f_81_1,plain,
~ cC32(iV8474),
inference(fof_nnf,[status(thm)],[axiom_80]) ).
cnf(f_81_2,plain,
~ cC32(iV8474),
inference(clausify,[status(thm)],[f_81_1]) ).
fof(f_85_1,plain,
cC2(iV8476),
inference(fof_nnf,[status(thm)],[axiom_84]) ).
cnf(f_85_2,plain,
cC2(iV8476),
inference(clausify,[status(thm)],[f_85_1]) ).
fof(f_87_1,negated_conjecture,
~ ( cC58(iV8472)
& cowlThing(iV8472)
& cC60(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC34(iV8467)
& cC62(iV8467)
& cowlThing(iV8467)
& cC20(iV8467)
& cC8(iV8467)
& cC14(iV8467)
& cC82(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC10(iV8467)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_87_2,negated_conjecture,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_87_1]) ).
fof(f_87_3,negated_conjecture,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ? [U_213] :
( ( ~ xsd_string(U_213)
& ~ xsd_integer(U_213) )
| ( xsd_integer(U_213)
& xsd_string(U_213) ) )
| ? [U_212] :
( cowlNothing(U_212)
| ~ cowlThing(U_212) ) ),
inference(variable_rename,[status(thm)],[f_87_2]) ).
fof(f_87_4,negated_conjecture,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ? [U_217] :
( ~ xsd_string(U_217)
& ~ xsd_integer(U_217) )
| ? [U_216] :
( xsd_integer(U_216)
& xsd_string(U_216) )
| ? [U_215] : cowlNothing(U_215)
| ? [U_214] : ~ cowlThing(U_214) ),
inference(miniscope,[status(thm)],[f_87_3]) ).
fof(f_87_5,negated_conjecture,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ? [U_217] :
( ~ xsd_string(U_217)
& ~ xsd_integer(U_217) )
| ? [U_216] :
( xsd_integer(U_216)
& xsd_string(U_216) )
| ? [U_215] : cowlNothing(U_215)
| ~ cowlThing(sK32) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_214,sK32)],[f_87_4]) ).
fof(f_87_6,negated_conjecture,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ? [U_217] :
( ~ xsd_string(U_217)
& ~ xsd_integer(U_217) )
| ? [U_216] :
( xsd_integer(U_216)
& xsd_string(U_216) )
| cowlNothing(sK33)
| ~ cowlThing(sK32) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_215,sK33)],[f_87_5]) ).
fof(f_87_7,negated_conjecture,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ? [U_217] :
( ~ xsd_string(U_217)
& ~ xsd_integer(U_217) )
| ( xsd_integer(sK34)
& xsd_string(sK34) )
| cowlNothing(sK33)
| ~ cowlThing(sK32) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(U_216,sK34)],[f_87_6]) ).
fof(f_87_8,negated_conjecture,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ( ~ xsd_string(sK35)
& ~ xsd_integer(sK35) )
| ( xsd_integer(sK34)
& xsd_string(sK34) )
| cowlNothing(sK33)
| ~ cowlThing(sK32) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(U_217,sK35)],[f_87_7]) ).
fof(f_87_9,negated_conjecture,
( ( ~ xsd_string(sK35)
| ~ sP1 )
& ( ~ xsd_integer(sK35)
| ~ sP1 )
& ( xsd_integer(sK34)
| ~ sP0 )
& ( xsd_string(sK34)
| ~ sP0 )
& ( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| sP1
| sP0
| cowlNothing(sK33)
| ~ cowlThing(sK32) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_87_8]) ).
cnf(f_87_10,negated_conjecture,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| sP1
| sP0
| cowlNothing(sK33)
| ~ cowlThing(sK32) ),
inference(clausify,[status(thm)],[f_87_9]) ).
cnf(f_87_11,negated_conjecture,
( xsd_string(sK34)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_87_9]) ).
cnf(f_87_12,negated_conjecture,
( xsd_integer(sK34)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_87_9]) ).
cnf(f_87_13,negated_conjecture,
( ~ xsd_integer(sK35)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_87_9]) ).
cnf(f_87_14,negated_conjecture,
( ~ xsd_string(sK35)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_87_9]) ).
cnf(t1,plain,
( ~ xsd_integer(sK35)
| ~ sP1 ),
inference(start,[status(thm),parent(0:0)],[f_87_13]) ).
cnf(t2,plain,
( cowlNothing(sK33)
| sP0
| ~ cC58(iV8472)
| ~ cC10(iV8467)
| ~ cC48(iV8467)
| ~ cC4(iV8467)
| ~ cC82(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cowlThing(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472)
| ~ cowlThing(sK32)
| sP1 ),
inference(extension,[status(thm),parent(t1:1)],[f_87_10]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
cowlThing(sK32),
inference(extension,[status(thm),parent(t2:2)],[f_1_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
cowlThing(iV8472),
inference(extension,[status(thm),parent(t2:3)],[f_76_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( cC2(iV8472)
| ~ cC58(iV8472)
| cC60(iV8472) ),
inference(extension,[status(thm),parent(t2:4)],[f_30_6]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
cnf(t10,plain,
( ~ cC2(iV8476)
| ~ rR1(iV8472,iV8476)
| cC58(iV8472) ),
inference(extension,[status(thm),parent(t8:2)],[f_28_7]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
rR1(iV8472,iV8476),
inference(extension,[status(thm),parent(t10:2)],[f_77_2]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
cC2(iV8476),
inference(extension,[status(thm),parent(t10:3)],[f_85_2]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
~ cC2(iV8472),
inference(extension,[status(thm),parent(t8:3)],[f_75_2]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:3]) ).
cnf(l4,lemma,
cC60(iV8472),
inference(lemma,[status(cth),parent(t2:4),below(t1:1)],[t2:4]) ).
cnf(t18,plain,
( cC78(iV8471)
| cC2(iV8471)
| cC80(iV8471) ),
inference(extension,[status(thm),parent(t2:5)],[f_41_6]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:5]) ).
cnf(t20,plain,
~ cC2(iV8471),
inference(extension,[status(thm),parent(t18:2)],[f_71_2]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
~ cC78(iV8471),
inference(extension,[status(thm),parent(t18:3)],[f_72_2]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(l9,lemma,
cC80(iV8471),
inference(lemma,[status(cth),parent(t2:5),below(t1:1)],[t2:5]) ).
cnf(t24,plain,
cowlThing(iV8471),
inference(extension,[status(thm),parent(t2:6)],[f_73_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t2:6]) ).
cnf(t26,plain,
( cC32(iV8474)
| ~ rR1(iV8467,iV8474)
| cC34(iV8467) ),
inference(extension,[status(thm),parent(t2:7)],[f_15_7]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t2:7]) ).
cnf(t28,plain,
rR1(iV8467,iV8474),
inference(extension,[status(thm),parent(t26:2)],[f_62_2]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
~ cC32(iV8474),
inference(extension,[status(thm),parent(t26:3)],[f_81_2]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
( ~ cC60(iV8472)
| ~ rR1(iV8467,iV8472)
| cC62(iV8467) ),
inference(extension,[status(thm),parent(t2:8)],[f_31_7]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t2:8]) ).
cnf(t34,plain,
rR1(iV8467,iV8472),
inference(extension,[status(thm),parent(t32:2)],[f_61_2]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
cC60(iV8472),
inference(lemma_extension,[status(thm),parent(t32:3)],[l4:1]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
cowlThing(iV8467),
inference(extension,[status(thm),parent(t2:9)],[f_53_2]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t2:9]) ).
cnf(t40,plain,
( cC2(iV8472)
| ~ rR1(iV8467,iV8472)
| cC20(iV8467) ),
inference(extension,[status(thm),parent(t2:10)],[f_8_7]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t2:10]) ).
cnf(t42,plain,
rR1(iV8467,iV8472),
inference(extension,[status(thm),parent(t40:2)],[f_61_2]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
~ cC2(iV8472),
inference(extension,[status(thm),parent(t40:3)],[f_75_2]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t40:3]) ).
cnf(t46,plain,
( cC6(iV8469)
| ~ rR1(iV8467,iV8469)
| cC8(iV8467) ),
inference(extension,[status(thm),parent(t2:11)],[f_40_7]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t2:11]) ).
cnf(t48,plain,
rR1(iV8467,iV8469),
inference(extension,[status(thm),parent(t46:2)],[f_59_2]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
~ cC6(iV8469),
inference(extension,[status(thm),parent(t46:3)],[f_66_2]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t46:3]) ).
cnf(l22,lemma,
cC8(iV8467),
inference(lemma,[status(cth),parent(t2:11),below(t1:1)],[t2:11]) ).
cnf(t52,plain,
( ~ cTOP(iV8470)
| ~ rR1(iV8467,iV8470)
| cC14(iV8467) ),
inference(extension,[status(thm),parent(t2:12)],[f_5_7]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t2:12]) ).
cnf(t54,plain,
rR1(iV8467,iV8470),
inference(extension,[status(thm),parent(t52:2)],[f_63_2]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
cTOP(iV8470),
inference(extension,[status(thm),parent(t52:3)],[f_69_2]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t52:3]) ).
cnf(t58,plain,
( ~ cC80(iV8471)
| ~ rR1(iV8467,iV8471)
| cC82(iV8467) ),
inference(extension,[status(thm),parent(t2:13)],[f_42_7]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t2:13]) ).
cnf(t60,plain,
rR1(iV8467,iV8471),
inference(extension,[status(thm),parent(t58:2)],[f_56_2]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t58:2]) ).
cnf(t62,plain,
cC80(iV8471),
inference(lemma_extension,[status(thm),parent(t58:3)],[l9:1]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t58:3]) ).
cnf(t64,plain,
( cC2(iV8472)
| ~ rR1(iV8467,iV8472)
| cC4(iV8467) ),
inference(extension,[status(thm),parent(t2:14)],[f_18_7]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t2:14]) ).
cnf(t66,plain,
rR1(iV8467,iV8472),
inference(extension,[status(thm),parent(t64:2)],[f_61_2]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t64:2]) ).
cnf(t68,plain,
~ cC2(iV8472),
inference(extension,[status(thm),parent(t64:3)],[f_75_2]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t64:3]) ).
cnf(l30,lemma,
cC4(iV8467),
inference(lemma,[status(cth),parent(t2:14),below(t1:1)],[t2:14]) ).
cnf(t70,plain,
( cC2(iV8472)
| ~ rR1(iV8467,iV8472)
| cC48(iV8467) ),
inference(extension,[status(thm),parent(t2:15)],[f_23_7]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t2:15]) ).
cnf(t72,plain,
rR1(iV8467,iV8472),
inference(extension,[status(thm),parent(t70:2)],[f_61_2]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t70:2]) ).
cnf(t74,plain,
~ cC2(iV8472),
inference(extension,[status(thm),parent(t70:3)],[f_75_2]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t70:3]) ).
cnf(t76,plain,
( ~ cC8(iV8467)
| ~ cC4(iV8467)
| cC10(iV8467) ),
inference(extension,[status(thm),parent(t2:16)],[f_3_6]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t2:16]) ).
cnf(t78,plain,
cC4(iV8467),
inference(lemma_extension,[status(thm),parent(t76:2)],[l30:1]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t76:2]) ).
cnf(t80,plain,
cC8(iV8467),
inference(lemma_extension,[status(thm),parent(t76:3)],[l22:1]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t76:3]) ).
cnf(t82,plain,
( ~ cC60(iV8472)
| cC58(iV8472) ),
inference(extension,[status(thm),parent(t2:17)],[f_30_4]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t2:17]) ).
cnf(t84,plain,
cC60(iV8472),
inference(lemma_extension,[status(thm),parent(t82:2)],[l4:1]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t82:2]) ).
cnf(t86,plain,
( xsd_integer(sK34)
| ~ sP0 ),
inference(extension,[status(thm),parent(t2:18)],[f_87_12]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t2:18]) ).
cnf(t88,plain,
( ~ xsd_string(sK34)
| ~ xsd_integer(sK34) ),
inference(extension,[status(thm),parent(t86:2)],[f_2_4]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t86:2]) ).
cnf(t90,plain,
( ~ sP0
| xsd_string(sK34) ),
inference(extension,[status(thm),parent(t88:2)],[f_87_11]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t88:2]) ).
cnf(t92,plain,
$false,
inference(reduction,[status(thm),parent(t90:2)],[t90:2,t2:18]) ).
cnf(t93,plain,
~ cowlNothing(sK33),
inference(extension,[status(thm),parent(t2:19)],[f_1_5]) ).
cnf(t94,plain,
$false,
inference(connection,[status(thm),parent(t93:1)],[t93:1,t2:19]) ).
cnf(l1,lemma,
sP1,
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t95,plain,
( xsd_string(sK35)
| xsd_integer(sK35) ),
inference(extension,[status(thm),parent(t1:2)],[f_2_5]) ).
cnf(t96,plain,
$false,
inference(connection,[status(thm),parent(t95:1)],[t95:1,t1:2]) ).
cnf(t97,plain,
( ~ sP1
| ~ xsd_string(sK35) ),
inference(extension,[status(thm),parent(t95:2)],[f_87_14]) ).
cnf(t98,plain,
$false,
inference(connection,[status(thm),parent(t97:1)],[t97:1,t95:2]) ).
cnf(t99,plain,
sP1,
inference(lemma_extension,[status(thm),parent(t97:2)],[l1:1]) ).
cnf(t100,plain,
$false,
inference(connection,[status(thm),parent(t99:1)],[t99:1,t97:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS147+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n007.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 19 12:14:04 UTC 2026
% 0.08/0.34 % CPUTime :
% 120.12/120.47 % SZS status Theorem for theBenchmark
% 120.12/120.47 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------