%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS155+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 : n002.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 08:47:24 AM UTC 2026
% Result : Theorem 120.13s 120.45s
% Output : Proof 120.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 31
% Syntax : Number of formulae : 256 ( 139 unt; 0 def)
% Number of atoms : 823 ( 0 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 970 ( 403 ~; 391 |; 161 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 25 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_5,axiom,
! [X] :
( cC14(X)
<=> ? [Y] :
( cTOP(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_13,axiom,
! [X] :
( cC20(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_13) ).
fof(axiom_29,axiom,
! [X] :
( cC34(X)
<=> ? [Y] :
( cC32xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_29) ).
fof(axiom_35,axiom,
! [X] :
( cC4(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_35) ).
fof(axiom_44,axiom,
! [X] :
( cC48(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_44) ).
fof(axiom_57,axiom,
! [X] :
( cC58(X)
<=> ? [Y] :
( cC2(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_57) ).
fof(axiom_61,axiom,
! [X] :
( cC60(X)
<=> ( cC58(X)
& cC2xcomp(X) ) ),
file('theBenchmark.p',axiom_61) ).
fof(axiom_62,axiom,
! [X] :
( cC62(X)
<=> ? [Y] :
( cC60(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_62) ).
fof(axiom_79,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( cC6xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_79) ).
fof(axiom_80,axiom,
! [X] :
( cC80(X)
<=> ( cC2xcomp(X)
& cC78xcomp(X) ) ),
file('theBenchmark.p',axiom_80) ).
fof(axiom_82,axiom,
! [X] :
( cC82(X)
<=> ? [Y] :
( cC80(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_82) ).
fof(axiom_102,axiom,
cowlThing(iV8467),
file('theBenchmark.p',axiom_102) ).
fof(axiom_103,axiom,
rR1(iV8467,iV8471),
file('theBenchmark.p',axiom_103) ).
fof(axiom_104,axiom,
rR1(iV8467,iV8470),
file('theBenchmark.p',axiom_104) ).
fof(axiom_105,axiom,
rR1(iV8467,iV8469),
file('theBenchmark.p',axiom_105) ).
fof(axiom_106,axiom,
rR1(iV8467,iV8474),
file('theBenchmark.p',axiom_106) ).
fof(axiom_110,axiom,
rR1(iV8467,iV8472),
file('theBenchmark.p',axiom_110) ).
fof(axiom_113,axiom,
cC6xcomp(iV8469),
file('theBenchmark.p',axiom_113) ).
fof(axiom_116,axiom,
cTOP(iV8470),
file('theBenchmark.p',axiom_116) ).
fof(axiom_118,axiom,
cC78xcomp(iV8471),
file('theBenchmark.p',axiom_118) ).
fof(axiom_119,axiom,
cC2xcomp(iV8471),
file('theBenchmark.p',axiom_119) ).
fof(axiom_120,axiom,
cowlThing(iV8471),
file('theBenchmark.p',axiom_120) ).
fof(axiom_122,axiom,
cC2xcomp(iV8472),
file('theBenchmark.p',axiom_122) ).
fof(axiom_123,axiom,
cowlThing(iV8472),
file('theBenchmark.p',axiom_123) ).
fof(axiom_124,axiom,
rR1(iV8472,iV8476),
file('theBenchmark.p',axiom_124) ).
fof(axiom_127,axiom,
cC32xcomp(iV8474),
file('theBenchmark.p',axiom_127) ).
fof(axiom_132,axiom,
cC2(iV8476),
file('theBenchmark.p',axiom_132) ).
fof(the_axiom,conjecture,
( cowlThing(iV8472)
& cC60(iV8472)
& cC58(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC48(iV8467)
& cowlThing(iV8467)
& cC10(iV8467)
& cC34(iV8467)
& cC14(iV8467)
& cC62(iV8467)
& cC82(iV8467)
& cC8(iV8467)
& cC4(iV8467)
& cC20(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_6_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_5]) ).
fof(f_6_2,plain,
! [U_21] :
( ( cC14(U_21)
| ! [U_20] :
( ~ cTOP(U_20)
| ~ rR1(U_21,U_20) ) )
& ( ? [U_19] :
( cTOP(U_19)
& rR1(U_21,U_19) )
| ~ cC14(U_21) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_23] :
( cC14(U_23)
| ! [U_20] :
( ~ cTOP(U_20)
| ~ rR1(U_23,U_20) ) )
& ! [U_22] :
( ? [U_19] :
( cTOP(U_19)
& rR1(U_22,U_19) )
| ~ cC14(U_22) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
( ! [U_23] :
( cC14(U_23)
| ! [U_20] :
( ~ cTOP(U_20)
| ~ rR1(U_23,U_20) ) )
& ! [U_22] :
( ( cTOP(sK3(U_22))
& rR1(U_22,sK3(U_22)) )
| ~ cC14(U_22) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_19,sK3(U_22))],[f_6_3]) ).
cnf(f_6_7,plain,
( cC14(U_23)
| ~ cTOP(U_20)
| ~ rR1(U_23,U_20) ),
inference(clausify,[status(thm)],[f_6_4]) ).
fof(f_14_1,plain,
! [X] :
( ( cC20(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC20(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
fof(f_14_2,plain,
! [U_59] :
( ( cC20(U_59)
| ! [U_58] :
( ~ cC2xcomp(U_58)
| ~ rR1(U_59,U_58) ) )
& ( ? [U_57] :
( cC2xcomp(U_57)
& rR1(U_59,U_57) )
| ~ cC20(U_59) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_61] :
( cC20(U_61)
| ! [U_58] :
( ~ cC2xcomp(U_58)
| ~ rR1(U_61,U_58) ) )
& ! [U_60] :
( ? [U_57] :
( cC2xcomp(U_57)
& rR1(U_60,U_57) )
| ~ cC20(U_60) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
fof(f_14_4,plain,
( ! [U_61] :
( cC20(U_61)
| ! [U_58] :
( ~ cC2xcomp(U_58)
| ~ rR1(U_61,U_58) ) )
& ! [U_60] :
( ( cC2xcomp(sK10(U_60))
& rR1(U_60,sK10(U_60)) )
| ~ cC20(U_60) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_57,sK10(U_60))],[f_14_3]) ).
cnf(f_14_7,plain,
( cC20(U_61)
| ~ cC2xcomp(U_58)
| ~ rR1(U_61,U_58) ),
inference(clausify,[status(thm)],[f_14_4]) ).
fof(f_30_1,plain,
! [X] :
( ( cC34(X)
| ! [Y] :
( ~ cC32xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC32xcomp(Y)
& rR1(X,Y) )
| ~ cC34(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_29]) ).
fof(f_30_2,plain,
! [U_135] :
( ( cC34(U_135)
| ! [U_134] :
( ~ cC32xcomp(U_134)
| ~ rR1(U_135,U_134) ) )
& ( ? [U_133] :
( cC32xcomp(U_133)
& rR1(U_135,U_133) )
| ~ cC34(U_135) ) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
( ! [U_137] :
( cC34(U_137)
| ! [U_134] :
( ~ cC32xcomp(U_134)
| ~ rR1(U_137,U_134) ) )
& ! [U_136] :
( ? [U_133] :
( cC32xcomp(U_133)
& rR1(U_136,U_133) )
| ~ cC34(U_136) ) ),
inference(miniscope,[status(thm)],[f_30_2]) ).
fof(f_30_4,plain,
( ! [U_137] :
( cC34(U_137)
| ! [U_134] :
( ~ cC32xcomp(U_134)
| ~ rR1(U_137,U_134) ) )
& ! [U_136] :
( ( cC32xcomp(sK24(U_136))
& rR1(U_136,sK24(U_136)) )
| ~ cC34(U_136) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_133,sK24(U_136))],[f_30_3]) ).
cnf(f_30_7,plain,
( cC34(U_137)
| ~ cC32xcomp(U_134)
| ~ rR1(U_137,U_134) ),
inference(clausify,[status(thm)],[f_30_4]) ).
fof(f_36_1,plain,
! [X] :
( ( cC4(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC4(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_35]) ).
fof(f_36_2,plain,
! [U_165] :
( ( cC4(U_165)
| ! [U_164] :
( ~ cC2xcomp(U_164)
| ~ rR1(U_165,U_164) ) )
& ( ? [U_163] :
( cC2xcomp(U_163)
& rR1(U_165,U_163) )
| ~ cC4(U_165) ) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
( ! [U_167] :
( cC4(U_167)
| ! [U_164] :
( ~ cC2xcomp(U_164)
| ~ rR1(U_167,U_164) ) )
& ! [U_166] :
( ? [U_163] :
( cC2xcomp(U_163)
& rR1(U_166,U_163) )
| ~ cC4(U_166) ) ),
inference(miniscope,[status(thm)],[f_36_2]) ).
fof(f_36_4,plain,
( ! [U_167] :
( cC4(U_167)
| ! [U_164] :
( ~ cC2xcomp(U_164)
| ~ rR1(U_167,U_164) ) )
& ! [U_166] :
( ( cC2xcomp(sK30(U_166))
& rR1(U_166,sK30(U_166)) )
| ~ cC4(U_166) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_163,sK30(U_166))],[f_36_3]) ).
cnf(f_36_7,plain,
( cC4(U_167)
| ~ cC2xcomp(U_164)
| ~ rR1(U_167,U_164) ),
inference(clausify,[status(thm)],[f_36_4]) ).
fof(f_45_1,plain,
! [X] :
( ( cC48(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC48(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_44]) ).
fof(f_45_2,plain,
! [U_206] :
( ( cC48(U_206)
| ! [U_205] :
( ~ cC2xcomp(U_205)
| ~ rR1(U_206,U_205) ) )
& ( ? [U_204] :
( cC2xcomp(U_204)
& rR1(U_206,U_204) )
| ~ cC48(U_206) ) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
fof(f_45_3,plain,
( ! [U_208] :
( cC48(U_208)
| ! [U_205] :
( ~ cC2xcomp(U_205)
| ~ rR1(U_208,U_205) ) )
& ! [U_207] :
( ? [U_204] :
( cC2xcomp(U_204)
& rR1(U_207,U_204) )
| ~ cC48(U_207) ) ),
inference(miniscope,[status(thm)],[f_45_2]) ).
fof(f_45_4,plain,
( ! [U_208] :
( cC48(U_208)
| ! [U_205] :
( ~ cC2xcomp(U_205)
| ~ rR1(U_208,U_205) ) )
& ! [U_207] :
( ( cC2xcomp(sK37(U_207))
& rR1(U_207,sK37(U_207)) )
| ~ cC48(U_207) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(U_204,sK37(U_207))],[f_45_3]) ).
cnf(f_45_7,plain,
( cC48(U_208)
| ~ cC2xcomp(U_205)
| ~ rR1(U_208,U_205) ),
inference(clausify,[status(thm)],[f_45_4]) ).
fof(f_58_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_57]) ).
fof(f_58_2,plain,
! [U_267] :
( ( cC58(U_267)
| ! [U_266] :
( ~ cC2(U_266)
| ~ rR1(U_267,U_266) ) )
& ( ? [U_265] :
( cC2(U_265)
& rR1(U_267,U_265) )
| ~ cC58(U_267) ) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
fof(f_58_3,plain,
( ! [U_269] :
( cC58(U_269)
| ! [U_266] :
( ~ cC2(U_266)
| ~ rR1(U_269,U_266) ) )
& ! [U_268] :
( ? [U_265] :
( cC2(U_265)
& rR1(U_268,U_265) )
| ~ cC58(U_268) ) ),
inference(miniscope,[status(thm)],[f_58_2]) ).
fof(f_58_4,plain,
( ! [U_269] :
( cC58(U_269)
| ! [U_266] :
( ~ cC2(U_266)
| ~ rR1(U_269,U_266) ) )
& ! [U_268] :
( ( cC2(sK48(U_268))
& rR1(U_268,sK48(U_268)) )
| ~ cC58(U_268) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48]),skolemize(U_265,sK48(U_268))],[f_58_3]) ).
cnf(f_58_7,plain,
( cC58(U_269)
| ~ cC2(U_266)
| ~ rR1(U_269,U_266) ),
inference(clausify,[status(thm)],[f_58_4]) ).
fof(f_62_1,plain,
! [X] :
( ( cC60(X)
| ~ cC58(X)
| ~ cC2xcomp(X) )
& ( ( cC58(X)
& cC2xcomp(X) )
| ~ cC60(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_61]) ).
fof(f_62_2,plain,
! [U_285] :
( ( cC60(U_285)
| ~ cC58(U_285)
| ~ cC2xcomp(U_285) )
& ( ( cC58(U_285)
& cC2xcomp(U_285) )
| ~ cC60(U_285) ) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
fof(f_62_3,plain,
( ! [U_287] :
( cC60(U_287)
| ~ cC58(U_287)
| ~ cC2xcomp(U_287) )
& ! [U_286] :
( ( cC58(U_286)
& cC2xcomp(U_286) )
| ~ cC60(U_286) ) ),
inference(miniscope,[status(thm)],[f_62_2]) ).
cnf(f_62_5,plain,
( cC58(U_286)
| ~ cC60(U_286) ),
inference(clausify,[status(thm)],[f_62_3]) ).
cnf(f_62_6,plain,
( cC60(U_287)
| ~ cC58(U_287)
| ~ cC2xcomp(U_287) ),
inference(clausify,[status(thm)],[f_62_3]) ).
fof(f_63_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_62]) ).
fof(f_63_2,plain,
! [U_290] :
( ( cC62(U_290)
| ! [U_289] :
( ~ cC60(U_289)
| ~ rR1(U_290,U_289) ) )
& ( ? [U_288] :
( cC60(U_288)
& rR1(U_290,U_288) )
| ~ cC62(U_290) ) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
( ! [U_292] :
( cC62(U_292)
| ! [U_289] :
( ~ cC60(U_289)
| ~ rR1(U_292,U_289) ) )
& ! [U_291] :
( ? [U_288] :
( cC60(U_288)
& rR1(U_291,U_288) )
| ~ cC62(U_291) ) ),
inference(miniscope,[status(thm)],[f_63_2]) ).
fof(f_63_4,plain,
( ! [U_292] :
( cC62(U_292)
| ! [U_289] :
( ~ cC60(U_289)
| ~ rR1(U_292,U_289) ) )
& ! [U_291] :
( ( cC60(sK52(U_291))
& rR1(U_291,sK52(U_291)) )
| ~ cC62(U_291) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(U_288,sK52(U_291))],[f_63_3]) ).
cnf(f_63_7,plain,
( cC62(U_292)
| ~ cC60(U_289)
| ~ rR1(U_292,U_289) ),
inference(clausify,[status(thm)],[f_63_4]) ).
fof(f_80_1,plain,
! [X] :
( ( cC8(X)
| ! [Y] :
( ~ cC6xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC6xcomp(Y)
& rR1(X,Y) )
| ~ cC8(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_79]) ).
fof(f_80_2,plain,
! [U_369] :
( ( cC8(U_369)
| ! [U_368] :
( ~ cC6xcomp(U_368)
| ~ rR1(U_369,U_368) ) )
& ( ? [U_367] :
( cC6xcomp(U_367)
& rR1(U_369,U_367) )
| ~ cC8(U_369) ) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
fof(f_80_3,plain,
( ! [U_371] :
( cC8(U_371)
| ! [U_368] :
( ~ cC6xcomp(U_368)
| ~ rR1(U_371,U_368) ) )
& ! [U_370] :
( ? [U_367] :
( cC6xcomp(U_367)
& rR1(U_370,U_367) )
| ~ cC8(U_370) ) ),
inference(miniscope,[status(thm)],[f_80_2]) ).
fof(f_80_4,plain,
( ! [U_371] :
( cC8(U_371)
| ! [U_368] :
( ~ cC6xcomp(U_368)
| ~ rR1(U_371,U_368) ) )
& ! [U_370] :
( ( cC6xcomp(sK66(U_370))
& rR1(U_370,sK66(U_370)) )
| ~ cC8(U_370) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66]),skolemize(U_367,sK66(U_370))],[f_80_3]) ).
cnf(f_80_7,plain,
( cC8(U_371)
| ~ cC6xcomp(U_368)
| ~ rR1(U_371,U_368) ),
inference(clausify,[status(thm)],[f_80_4]) ).
fof(f_81_1,plain,
! [X] :
( ( cC80(X)
| ~ cC2xcomp(X)
| ~ cC78xcomp(X) )
& ( ( cC2xcomp(X)
& cC78xcomp(X) )
| ~ cC80(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_80]) ).
fof(f_81_2,plain,
! [U_372] :
( ( cC80(U_372)
| ~ cC2xcomp(U_372)
| ~ cC78xcomp(U_372) )
& ( ( cC2xcomp(U_372)
& cC78xcomp(U_372) )
| ~ cC80(U_372) ) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
fof(f_81_3,plain,
( ! [U_374] :
( cC80(U_374)
| ~ cC2xcomp(U_374)
| ~ cC78xcomp(U_374) )
& ! [U_373] :
( ( cC2xcomp(U_373)
& cC78xcomp(U_373) )
| ~ cC80(U_373) ) ),
inference(miniscope,[status(thm)],[f_81_2]) ).
cnf(f_81_6,plain,
( cC80(U_374)
| ~ cC2xcomp(U_374)
| ~ cC78xcomp(U_374) ),
inference(clausify,[status(thm)],[f_81_3]) ).
fof(f_83_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_82]) ).
fof(f_83_2,plain,
! [U_382] :
( ( cC82(U_382)
| ! [U_381] :
( ~ cC80(U_381)
| ~ rR1(U_382,U_381) ) )
& ( ? [U_380] :
( cC80(U_380)
& rR1(U_382,U_380) )
| ~ cC82(U_382) ) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
fof(f_83_3,plain,
( ! [U_384] :
( cC82(U_384)
| ! [U_381] :
( ~ cC80(U_381)
| ~ rR1(U_384,U_381) ) )
& ! [U_383] :
( ? [U_380] :
( cC80(U_380)
& rR1(U_383,U_380) )
| ~ cC82(U_383) ) ),
inference(miniscope,[status(thm)],[f_83_2]) ).
fof(f_83_4,plain,
( ! [U_384] :
( cC82(U_384)
| ! [U_381] :
( ~ cC80(U_381)
| ~ rR1(U_384,U_381) ) )
& ! [U_383] :
( ( cC80(sK68(U_383))
& rR1(U_383,sK68(U_383)) )
| ~ cC82(U_383) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(U_380,sK68(U_383))],[f_83_3]) ).
cnf(f_83_7,plain,
( cC82(U_384)
| ~ cC80(U_381)
| ~ rR1(U_384,U_381) ),
inference(clausify,[status(thm)],[f_83_4]) ).
fof(f_103_1,plain,
cowlThing(iV8467),
inference(fof_nnf,[status(thm)],[axiom_102]) ).
cnf(f_103_2,plain,
cowlThing(iV8467),
inference(clausify,[status(thm)],[f_103_1]) ).
fof(f_104_1,plain,
rR1(iV8467,iV8471),
inference(fof_nnf,[status(thm)],[axiom_103]) ).
cnf(f_104_2,plain,
rR1(iV8467,iV8471),
inference(clausify,[status(thm)],[f_104_1]) ).
fof(f_105_1,plain,
rR1(iV8467,iV8470),
inference(fof_nnf,[status(thm)],[axiom_104]) ).
cnf(f_105_2,plain,
rR1(iV8467,iV8470),
inference(clausify,[status(thm)],[f_105_1]) ).
fof(f_106_1,plain,
rR1(iV8467,iV8469),
inference(fof_nnf,[status(thm)],[axiom_105]) ).
cnf(f_106_2,plain,
rR1(iV8467,iV8469),
inference(clausify,[status(thm)],[f_106_1]) ).
fof(f_107_1,plain,
rR1(iV8467,iV8474),
inference(fof_nnf,[status(thm)],[axiom_106]) ).
cnf(f_107_2,plain,
rR1(iV8467,iV8474),
inference(clausify,[status(thm)],[f_107_1]) ).
fof(f_111_1,plain,
rR1(iV8467,iV8472),
inference(fof_nnf,[status(thm)],[axiom_110]) ).
cnf(f_111_2,plain,
rR1(iV8467,iV8472),
inference(clausify,[status(thm)],[f_111_1]) ).
fof(f_114_1,plain,
cC6xcomp(iV8469),
inference(fof_nnf,[status(thm)],[axiom_113]) ).
cnf(f_114_2,plain,
cC6xcomp(iV8469),
inference(clausify,[status(thm)],[f_114_1]) ).
fof(f_117_1,plain,
cTOP(iV8470),
inference(fof_nnf,[status(thm)],[axiom_116]) ).
cnf(f_117_2,plain,
cTOP(iV8470),
inference(clausify,[status(thm)],[f_117_1]) ).
fof(f_119_1,plain,
cC78xcomp(iV8471),
inference(fof_nnf,[status(thm)],[axiom_118]) ).
cnf(f_119_2,plain,
cC78xcomp(iV8471),
inference(clausify,[status(thm)],[f_119_1]) ).
fof(f_120_1,plain,
cC2xcomp(iV8471),
inference(fof_nnf,[status(thm)],[axiom_119]) ).
cnf(f_120_2,plain,
cC2xcomp(iV8471),
inference(clausify,[status(thm)],[f_120_1]) ).
fof(f_121_1,plain,
cowlThing(iV8471),
inference(fof_nnf,[status(thm)],[axiom_120]) ).
cnf(f_121_2,plain,
cowlThing(iV8471),
inference(clausify,[status(thm)],[f_121_1]) ).
fof(f_123_1,plain,
cC2xcomp(iV8472),
inference(fof_nnf,[status(thm)],[axiom_122]) ).
cnf(f_123_2,plain,
cC2xcomp(iV8472),
inference(clausify,[status(thm)],[f_123_1]) ).
fof(f_124_1,plain,
cowlThing(iV8472),
inference(fof_nnf,[status(thm)],[axiom_123]) ).
cnf(f_124_2,plain,
cowlThing(iV8472),
inference(clausify,[status(thm)],[f_124_1]) ).
fof(f_125_1,plain,
rR1(iV8472,iV8476),
inference(fof_nnf,[status(thm)],[axiom_124]) ).
cnf(f_125_2,plain,
rR1(iV8472,iV8476),
inference(clausify,[status(thm)],[f_125_1]) ).
fof(f_128_1,plain,
cC32xcomp(iV8474),
inference(fof_nnf,[status(thm)],[axiom_127]) ).
cnf(f_128_2,plain,
cC32xcomp(iV8474),
inference(clausify,[status(thm)],[f_128_1]) ).
fof(f_133_1,plain,
cC2(iV8476),
inference(fof_nnf,[status(thm)],[axiom_132]) ).
cnf(f_133_2,plain,
cC2(iV8476),
inference(clausify,[status(thm)],[f_133_1]) ).
fof(f_135_1,negated_conjecture,
~ ( cowlThing(iV8472)
& cC60(iV8472)
& cC58(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC48(iV8467)
& cowlThing(iV8467)
& cC10(iV8467)
& cC34(iV8467)
& cC14(iV8467)
& cC62(iV8467)
& cC82(iV8467)
& cC8(iV8467)
& cC4(iV8467)
& cC20(iV8467)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_135_2,negated_conjecture,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(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_135_1]) ).
fof(f_135_3,negated_conjecture,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| ? [U_453] :
( ( ~ xsd_string(U_453)
& ~ xsd_integer(U_453) )
| ( xsd_integer(U_453)
& xsd_string(U_453) ) )
| ? [U_452] :
( cowlNothing(U_452)
| ~ cowlThing(U_452) ) ),
inference(variable_rename,[status(thm)],[f_135_2]) ).
fof(f_135_4,negated_conjecture,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| ? [U_457] :
( ~ xsd_string(U_457)
& ~ xsd_integer(U_457) )
| ? [U_456] :
( xsd_integer(U_456)
& xsd_string(U_456) )
| ? [U_455] : cowlNothing(U_455)
| ? [U_454] : ~ cowlThing(U_454) ),
inference(miniscope,[status(thm)],[f_135_3]) ).
fof(f_135_5,negated_conjecture,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| ? [U_457] :
( ~ xsd_string(U_457)
& ~ xsd_integer(U_457) )
| ? [U_456] :
( xsd_integer(U_456)
& xsd_string(U_456) )
| ? [U_455] : cowlNothing(U_455)
| ~ cowlThing(sK80) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80]),skolemize(U_454,sK80)],[f_135_4]) ).
fof(f_135_6,negated_conjecture,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| ? [U_457] :
( ~ xsd_string(U_457)
& ~ xsd_integer(U_457) )
| ? [U_456] :
( xsd_integer(U_456)
& xsd_string(U_456) )
| cowlNothing(sK81)
| ~ cowlThing(sK80) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK81]),skolemize(U_455,sK81)],[f_135_5]) ).
fof(f_135_7,negated_conjecture,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| ? [U_457] :
( ~ xsd_string(U_457)
& ~ xsd_integer(U_457) )
| ( xsd_integer(sK82)
& xsd_string(sK82) )
| cowlNothing(sK81)
| ~ cowlThing(sK80) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(U_456,sK82)],[f_135_6]) ).
fof(f_135_8,negated_conjecture,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| ( ~ xsd_string(sK83)
& ~ xsd_integer(sK83) )
| ( xsd_integer(sK82)
& xsd_string(sK82) )
| cowlNothing(sK81)
| ~ cowlThing(sK80) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83]),skolemize(U_457,sK83)],[f_135_7]) ).
fof(f_135_9,negated_conjecture,
( ( ~ xsd_string(sK83)
| ~ sP1 )
& ( ~ xsd_integer(sK83)
| ~ sP1 )
& ( xsd_integer(sK82)
| ~ sP0 )
& ( xsd_string(sK82)
| ~ sP0 )
& ( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| sP1
| sP0
| cowlNothing(sK81)
| ~ cowlThing(sK80) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_135_8]) ).
cnf(f_135_10,negated_conjecture,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| sP1
| sP0
| cowlNothing(sK81)
| ~ cowlThing(sK80) ),
inference(clausify,[status(thm)],[f_135_9]) ).
cnf(f_135_11,negated_conjecture,
( xsd_string(sK82)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_135_9]) ).
cnf(f_135_12,negated_conjecture,
( xsd_integer(sK82)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_135_9]) ).
cnf(f_135_13,negated_conjecture,
( ~ xsd_integer(sK83)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_135_9]) ).
cnf(f_135_14,negated_conjecture,
( ~ xsd_string(sK83)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_135_9]) ).
cnf(t1,plain,
( ~ xsd_integer(sK83)
| ~ sP1 ),
inference(start,[status(thm),parent(0:0)],[f_135_13]) ).
cnf(t2,plain,
( cowlNothing(sK81)
| sP0
| ~ cowlThing(iV8472)
| ~ cC20(iV8467)
| ~ cC4(iV8467)
| ~ cC8(iV8467)
| ~ cC82(iV8467)
| ~ cC62(iV8467)
| ~ cC14(iV8467)
| ~ cC34(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing(iV8467)
| ~ cC48(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cowlThing(sK80)
| sP1 ),
inference(extension,[status(thm),parent(t1:1)],[f_135_10]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
cowlThing(sK80),
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,
( ~ cC58(iV8472)
| ~ cC2xcomp(iV8472)
| cC60(iV8472) ),
inference(extension,[status(thm),parent(t2:3)],[f_62_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
cC2xcomp(iV8472),
inference(extension,[status(thm),parent(t6:2)],[f_123_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ cC2(iV8476)
| ~ rR1(iV8472,iV8476)
| cC58(iV8472) ),
inference(extension,[status(thm),parent(t6:3)],[f_58_7]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
rR1(iV8472,iV8476),
inference(extension,[status(thm),parent(t10:2)],[f_125_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_133_2]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(l3,lemma,
cC60(iV8472),
inference(lemma,[status(cth),parent(t2:3),below(t1:1)],[t2:3]) ).
cnf(t16,plain,
( ~ cC60(iV8472)
| cC58(iV8472) ),
inference(extension,[status(thm),parent(t2:4)],[f_62_5]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:4]) ).
cnf(t18,plain,
cC60(iV8472),
inference(lemma_extension,[status(thm),parent(t16:2)],[l3:1]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( ~ cC2xcomp(iV8471)
| ~ cC78xcomp(iV8471)
| cC80(iV8471) ),
inference(extension,[status(thm),parent(t2:5)],[f_81_6]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t2:5]) ).
cnf(t22,plain,
cC78xcomp(iV8471),
inference(extension,[status(thm),parent(t20:2)],[f_119_2]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
cC2xcomp(iV8471),
inference(extension,[status(thm),parent(t20:3)],[f_120_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(l9,lemma,
cC80(iV8471),
inference(lemma,[status(cth),parent(t2:5),below(t1:1)],[t2:5]) ).
cnf(t26,plain,
cowlThing(iV8471),
inference(extension,[status(thm),parent(t2:6)],[f_121_2]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t2:6]) ).
cnf(t28,plain,
( ~ cC2xcomp(iV8472)
| ~ rR1(iV8467,iV8472)
| cC48(iV8467) ),
inference(extension,[status(thm),parent(t2:7)],[f_45_7]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t2:7]) ).
cnf(t30,plain,
rR1(iV8467,iV8472),
inference(extension,[status(thm),parent(t28:2)],[f_111_2]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
cC2xcomp(iV8472),
inference(extension,[status(thm),parent(t28:3)],[f_123_2]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t28:3]) ).
cnf(t34,plain,
cowlThing(iV8467),
inference(extension,[status(thm),parent(t2:8)],[f_103_2]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t2:8]) ).
cnf(t36,plain,
( ~ cC8(iV8467)
| ~ cC4(iV8467)
| cC10(iV8467) ),
inference(extension,[status(thm),parent(t2:9)],[f_3_6]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t2:9]) ).
cnf(t38,plain,
( ~ cC2xcomp(iV8472)
| ~ rR1(iV8467,iV8472)
| cC4(iV8467) ),
inference(extension,[status(thm),parent(t36:2)],[f_36_7]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
rR1(iV8467,iV8472),
inference(extension,[status(thm),parent(t38:2)],[f_111_2]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
cC2xcomp(iV8472),
inference(extension,[status(thm),parent(t38:3)],[f_123_2]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t38:3]) ).
cnf(t44,plain,
( ~ cC6xcomp(iV8469)
| ~ rR1(iV8467,iV8469)
| cC8(iV8467) ),
inference(extension,[status(thm),parent(t36:3)],[f_80_7]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t36:3]) ).
cnf(t46,plain,
rR1(iV8467,iV8469),
inference(extension,[status(thm),parent(t44:2)],[f_106_2]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
cC6xcomp(iV8469),
inference(extension,[status(thm),parent(t44:3)],[f_114_2]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t44:3]) ).
cnf(t50,plain,
( ~ cC32xcomp(iV8474)
| ~ rR1(iV8467,iV8474)
| cC34(iV8467) ),
inference(extension,[status(thm),parent(t2:10)],[f_30_7]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t2:10]) ).
cnf(t52,plain,
rR1(iV8467,iV8474),
inference(extension,[status(thm),parent(t50:2)],[f_107_2]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
cC32xcomp(iV8474),
inference(extension,[status(thm),parent(t50:3)],[f_128_2]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t50:3]) ).
cnf(t56,plain,
( ~ cTOP(iV8470)
| ~ rR1(iV8467,iV8470)
| cC14(iV8467) ),
inference(extension,[status(thm),parent(t2:11)],[f_6_7]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t2:11]) ).
cnf(t58,plain,
rR1(iV8467,iV8470),
inference(extension,[status(thm),parent(t56:2)],[f_105_2]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t56:2]) ).
cnf(t60,plain,
cTOP(iV8470),
inference(extension,[status(thm),parent(t56:3)],[f_117_2]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t56:3]) ).
cnf(t62,plain,
( ~ cC60(iV8472)
| ~ rR1(iV8467,iV8472)
| cC62(iV8467) ),
inference(extension,[status(thm),parent(t2:12)],[f_63_7]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t2:12]) ).
cnf(t64,plain,
rR1(iV8467,iV8472),
inference(extension,[status(thm),parent(t62:2)],[f_111_2]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
cnf(t66,plain,
cC60(iV8472),
inference(lemma_extension,[status(thm),parent(t62:3)],[l3:1]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t62:3]) ).
cnf(t68,plain,
( ~ cC80(iV8471)
| ~ rR1(iV8467,iV8471)
| cC82(iV8467) ),
inference(extension,[status(thm),parent(t2:13)],[f_83_7]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t2:13]) ).
cnf(t70,plain,
rR1(iV8467,iV8471),
inference(extension,[status(thm),parent(t68:2)],[f_104_2]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t68:2]) ).
cnf(t72,plain,
cC80(iV8471),
inference(lemma_extension,[status(thm),parent(t68:3)],[l9:1]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t68:3]) ).
cnf(t74,plain,
( ~ cC6xcomp(iV8469)
| ~ rR1(iV8467,iV8469)
| cC8(iV8467) ),
inference(extension,[status(thm),parent(t2:14)],[f_80_7]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t2:14]) ).
cnf(t76,plain,
rR1(iV8467,iV8469),
inference(extension,[status(thm),parent(t74:2)],[f_106_2]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t74:2]) ).
cnf(t78,plain,
cC6xcomp(iV8469),
inference(extension,[status(thm),parent(t74:3)],[f_114_2]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t74:3]) ).
cnf(t80,plain,
( ~ cC2xcomp(iV8472)
| ~ rR1(iV8467,iV8472)
| cC4(iV8467) ),
inference(extension,[status(thm),parent(t2:15)],[f_36_7]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t2:15]) ).
cnf(t82,plain,
rR1(iV8467,iV8472),
inference(extension,[status(thm),parent(t80:2)],[f_111_2]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t80:2]) ).
cnf(t84,plain,
cC2xcomp(iV8472),
inference(extension,[status(thm),parent(t80:3)],[f_123_2]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t80:3]) ).
cnf(t86,plain,
( ~ cC2xcomp(iV8472)
| ~ rR1(iV8467,iV8472)
| cC20(iV8467) ),
inference(extension,[status(thm),parent(t2:16)],[f_14_7]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t2:16]) ).
cnf(t88,plain,
rR1(iV8467,iV8472),
inference(extension,[status(thm),parent(t86:2)],[f_111_2]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t86:2]) ).
cnf(t90,plain,
cC2xcomp(iV8472),
inference(extension,[status(thm),parent(t86:3)],[f_123_2]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t86:3]) ).
cnf(t92,plain,
cowlThing(iV8472),
inference(extension,[status(thm),parent(t2:17)],[f_124_2]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t2:17]) ).
cnf(t94,plain,
( xsd_integer(sK82)
| ~ sP0 ),
inference(extension,[status(thm),parent(t2:18)],[f_135_12]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t2:18]) ).
cnf(t96,plain,
( ~ xsd_string(sK82)
| ~ xsd_integer(sK82) ),
inference(extension,[status(thm),parent(t94:2)],[f_2_4]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t94:2]) ).
cnf(t98,plain,
( ~ sP0
| xsd_string(sK82) ),
inference(extension,[status(thm),parent(t96:2)],[f_135_11]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t96:2]) ).
cnf(t100,plain,
$false,
inference(reduction,[status(thm),parent(t98:2)],[t98:2,t2:18]) ).
cnf(t101,plain,
~ cowlNothing(sK81),
inference(extension,[status(thm),parent(t2:19)],[f_1_5]) ).
cnf(t102,plain,
$false,
inference(connection,[status(thm),parent(t101:1)],[t101:1,t2:19]) ).
cnf(l1,lemma,
sP1,
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t103,plain,
( xsd_string(sK83)
| xsd_integer(sK83) ),
inference(extension,[status(thm),parent(t1:2)],[f_2_5]) ).
cnf(t104,plain,
$false,
inference(connection,[status(thm),parent(t103:1)],[t103:1,t1:2]) ).
cnf(t105,plain,
( ~ sP1
| ~ xsd_string(sK83) ),
inference(extension,[status(thm),parent(t103:2)],[f_135_14]) ).
cnf(t106,plain,
$false,
inference(connection,[status(thm),parent(t105:1)],[t105:1,t103:2]) ).
cnf(t107,plain,
sP1,
inference(lemma_extension,[status(thm),parent(t105:2)],[l1:1]) ).
cnf(t108,plain,
$false,
inference(connection,[status(thm),parent(t107:1)],[t107:1,t105:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS155+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 19 12:19:00 UTC 2026
% 0.10/0.35 % CPUTime :
% 120.13/120.45 % SZS status Theorem for theBenchmark
% 120.13/120.45 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------