%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS261+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 08:47:35 AM UTC 2026
% Result : Theorem 206.43s 211.73s
% Output : Proof 206.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 83 ( 25 unt; 0 def)
% Number of atoms : 328 ( 0 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 399 ( 154 ~; 139 |; 100 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 243 ( 2 sgn 165 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('KRS001+0.ax',thm) ).
fof(eth,axiom,
! [Ax,C] :
( ( ! [I3] :
( model(I3,Ax)
<=> model(I3,C) )
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,eth) ),
file('KRS001+0.ax',eth) ).
fof(mighta,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) )
<=> mighta(S1,S2) ),
file('KRS001+1.ax',mighta) ).
fof(not,axiom,
! [I,F] :
( model(I,F)
<=> ~ model(I,not(F)) ),
file('KRS001+1.ax',not) ).
fof(non_thm_spt,axiom,
? [I1,Ax,C] :
( ? [I2] : model(I2,C)
& ~ model(I1,C)
& model(I1,Ax) ),
file('KRS001+1.ax',non_thm_spt) ).
fof(mighta_eth_thm,conjecture,
mighta(eth,thm),
file('theBenchmark.p',mighta_eth_thm) ).
fof(f_5_1,plain,
! [Ax,C] :
( ( ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) )
| ~ status(Ax,C,thm) )
& ( status(Ax,C,thm)
| ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ) ),
inference(fof_nnf,[status(thm)],[thm]) ).
fof(f_5_2,plain,
! [U_45,U_44] :
( ( ! [U_43] :
( model(U_43,U_44)
| ~ model(U_43,U_45) )
| ~ status(U_45,U_44,thm) )
& ( status(U_45,U_44,thm)
| ? [U_42] :
( ~ model(U_42,U_44)
& model(U_42,U_45) ) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_49,U_47] :
( ! [U_43] :
( model(U_43,U_47)
| ~ model(U_43,U_49) )
| ~ status(U_49,U_47,thm) )
& ! [U_48,U_46] :
( status(U_48,U_46,thm)
| ? [U_42] :
( ~ model(U_42,U_46)
& model(U_42,U_48) ) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_49,U_47] :
( ! [U_43] :
( model(U_43,U_47)
| ~ model(U_43,U_49) )
| ~ status(U_49,U_47,thm) )
& ! [U_48,U_46] :
( status(U_48,U_46,thm)
| ( ~ model(sK10(U_48,U_46),U_46)
& model(sK10(U_48,U_46),U_48) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_42,sK10(U_48,U_46))],[f_5_3]) ).
fof(f_5_5,plain,
( ! [U_46,U_48] :
( ~ model(sK10(U_48,U_46),U_46)
| ~ sP6(U_46,U_48) )
& ! [U_46,U_48] :
( model(sK10(U_48,U_46),U_48)
| ~ sP6(U_46,U_48) )
& ! [U_49,U_47,U_43] :
( model(U_43,U_47)
| ~ model(U_43,U_49)
| ~ status(U_49,U_47,thm) )
& ! [U_46,U_48] :
( status(U_48,U_46,thm)
| sP6(U_46,U_48) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP6])],[f_5_4]) ).
cnf(f_5_6,plain,
( status(U_48,U_46,thm)
| sP6(U_46,U_48) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_8,plain,
( model(sK10(U_48,U_46),U_48)
| ~ sP6(U_46,U_48) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_9,plain,
( ~ model(sK10(U_48,U_46),U_46)
| ~ sP6(U_46,U_48) ),
inference(clausify,[status(thm)],[f_5_5]) ).
fof(f_9_1,plain,
! [Ax,C] :
( ( ( ! [I3] :
( ( model(I3,Ax)
| ~ model(I3,C) )
& ( model(I3,C)
| ~ model(I3,Ax) ) )
& ? [I2] : ~ model(I2,Ax)
& ? [I1] : model(I1,Ax) )
| ~ status(Ax,C,eth) )
& ( status(Ax,C,eth)
| ? [I3] :
( ( ~ model(I3,Ax)
& model(I3,C) )
| ( ~ model(I3,C)
& model(I3,Ax) ) )
| ! [I2] : model(I2,Ax)
| ! [I1] : ~ model(I1,Ax) ) ),
inference(fof_nnf,[status(thm)],[eth]) ).
fof(f_9_2,plain,
! [U_93,U_92] :
( ( ( ! [U_91] :
( ( model(U_91,U_93)
| ~ model(U_91,U_92) )
& ( model(U_91,U_92)
| ~ model(U_91,U_93) ) )
& ? [U_90] : ~ model(U_90,U_93)
& ? [U_89] : model(U_89,U_93) )
| ~ status(U_93,U_92,eth) )
& ( status(U_93,U_92,eth)
| ? [U_88] :
( ( ~ model(U_88,U_93)
& model(U_88,U_92) )
| ( ~ model(U_88,U_92)
& model(U_88,U_93) ) )
| ! [U_87] : model(U_87,U_93)
| ! [U_86] : ~ model(U_86,U_93) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_101,U_99] :
( ( ! [U_97] :
( model(U_97,U_101)
| ~ model(U_97,U_99) )
& ! [U_96] :
( model(U_96,U_99)
| ~ model(U_96,U_101) )
& ? [U_90] : ~ model(U_90,U_101)
& ? [U_89] : model(U_89,U_101) )
| ~ status(U_101,U_99,eth) )
& ! [U_100,U_98] :
( status(U_100,U_98,eth)
| ? [U_95] :
( ~ model(U_95,U_100)
& model(U_95,U_98) )
| ? [U_94] :
( ~ model(U_94,U_98)
& model(U_94,U_100) )
| ! [U_87] : model(U_87,U_100)
| ! [U_86] : ~ model(U_86,U_100) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
fof(f_9_4,plain,
( ! [U_101,U_99] :
( ( ! [U_97] :
( model(U_97,U_101)
| ~ model(U_97,U_99) )
& ! [U_96] :
( model(U_96,U_99)
| ~ model(U_96,U_101) )
& ? [U_90] : ~ model(U_90,U_101)
& ? [U_89] : model(U_89,U_101) )
| ~ status(U_101,U_99,eth) )
& ! [U_100,U_98] :
( status(U_100,U_98,eth)
| ? [U_95] :
( ~ model(U_95,U_100)
& model(U_95,U_98) )
| ( ~ model(sK19(U_100,U_98),U_98)
& model(sK19(U_100,U_98),U_100) )
| ! [U_87] : model(U_87,U_100)
| ! [U_86] : ~ model(U_86,U_100) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_94,sK19(U_100,U_98))],[f_9_3]) ).
fof(f_9_5,plain,
( ! [U_101,U_99] :
( ( ! [U_97] :
( model(U_97,U_101)
| ~ model(U_97,U_99) )
& ! [U_96] :
( model(U_96,U_99)
| ~ model(U_96,U_101) )
& ? [U_90] : ~ model(U_90,U_101)
& ? [U_89] : model(U_89,U_101) )
| ~ status(U_101,U_99,eth) )
& ! [U_100,U_98] :
( status(U_100,U_98,eth)
| ( ~ model(sK20(U_100,U_98),U_100)
& model(sK20(U_100,U_98),U_98) )
| ( ~ model(sK19(U_100,U_98),U_98)
& model(sK19(U_100,U_98),U_100) )
| ! [U_87] : model(U_87,U_100)
| ! [U_86] : ~ model(U_86,U_100) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_95,sK20(U_100,U_98))],[f_9_4]) ).
fof(f_9_6,plain,
( ! [U_101,U_99] :
( ( ! [U_97] :
( model(U_97,U_101)
| ~ model(U_97,U_99) )
& ! [U_96] :
( model(U_96,U_99)
| ~ model(U_96,U_101) )
& ? [U_90] : ~ model(U_90,U_101)
& model(sK21(U_101,U_99),U_101) )
| ~ status(U_101,U_99,eth) )
& ! [U_100,U_98] :
( status(U_100,U_98,eth)
| ( ~ model(sK20(U_100,U_98),U_100)
& model(sK20(U_100,U_98),U_98) )
| ( ~ model(sK19(U_100,U_98),U_98)
& model(sK19(U_100,U_98),U_100) )
| ! [U_87] : model(U_87,U_100)
| ! [U_86] : ~ model(U_86,U_100) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_89,sK21(U_101,U_99))],[f_9_5]) ).
fof(f_9_7,plain,
( ! [U_101,U_99] :
( ( ! [U_97] :
( model(U_97,U_101)
| ~ model(U_97,U_99) )
& ! [U_96] :
( model(U_96,U_99)
| ~ model(U_96,U_101) )
& ~ model(sK22(U_101,U_99),U_101)
& model(sK21(U_101,U_99),U_101) )
| ~ status(U_101,U_99,eth) )
& ! [U_100,U_98] :
( status(U_100,U_98,eth)
| ( ~ model(sK20(U_100,U_98),U_100)
& model(sK20(U_100,U_98),U_98) )
| ( ~ model(sK19(U_100,U_98),U_98)
& model(sK19(U_100,U_98),U_100) )
| ! [U_87] : model(U_87,U_100)
| ! [U_86] : ~ model(U_86,U_100) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_90,sK22(U_101,U_99))],[f_9_6]) ).
fof(f_9_8,plain,
( ! [U_96,U_99,U_97,U_101] :
( model(U_97,U_101)
| ~ model(U_97,U_99)
| ~ sP15(U_96,U_99,U_97,U_101) )
& ! [U_96,U_99,U_97,U_101] :
( model(U_96,U_99)
| ~ model(U_96,U_101)
| ~ sP15(U_96,U_99,U_97,U_101) )
& ! [U_96,U_99,U_97,U_101] :
( ~ model(sK22(U_101,U_99),U_101)
| ~ sP15(U_96,U_99,U_97,U_101) )
& ! [U_96,U_99,U_97,U_101] :
( model(sK21(U_101,U_99),U_101)
| ~ sP15(U_96,U_99,U_97,U_101) )
& ! [U_98,U_100] :
( ~ model(sK20(U_100,U_98),U_100)
| ~ sP14(U_98,U_100) )
& ! [U_98,U_100] :
( model(sK20(U_100,U_98),U_98)
| ~ sP14(U_98,U_100) )
& ! [U_98,U_100] :
( ~ model(sK19(U_100,U_98),U_98)
| ~ sP13(U_98,U_100) )
& ! [U_98,U_100] :
( model(sK19(U_100,U_98),U_100)
| ~ sP13(U_98,U_100) )
& ! [U_96,U_99,U_97,U_101] :
( sP15(U_96,U_99,U_97,U_101)
| ~ status(U_101,U_99,eth) )
& ! [U_87,U_98,U_86,U_100] :
( status(U_100,U_98,eth)
| sP14(U_98,U_100)
| sP13(U_98,U_100)
| model(U_87,U_100)
| ~ model(U_86,U_100) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP13,sP14,sP15])],[f_9_7]) ).
cnf(f_9_9,plain,
( status(U_100,U_98,eth)
| sP14(U_98,U_100)
| sP13(U_98,U_100)
| model(U_87,U_100)
| ~ model(U_86,U_100) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_11,plain,
( model(sK19(U_100,U_98),U_100)
| ~ sP13(U_98,U_100) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_12,plain,
( ~ model(sK19(U_100,U_98),U_98)
| ~ sP13(U_98,U_100) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_13,plain,
( model(sK20(U_100,U_98),U_98)
| ~ sP14(U_98,U_100) ),
inference(clausify,[status(thm)],[f_9_8]) ).
cnf(f_9_14,plain,
( ~ model(sK20(U_100,U_98),U_100)
| ~ sP14(U_98,U_100) ),
inference(clausify,[status(thm)],[f_9_8]) ).
fof(f_20_1,plain,
! [S1,S2] :
( ( ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) )
| ~ mighta(S1,S2) )
& ( mighta(S1,S2)
| ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(fof_nnf,[status(thm)],[mighta]) ).
fof(f_20_2,plain,
! [U_213,U_212] :
( ( ? [U_211,U_210] :
( status(U_211,U_210,U_212)
& status(U_211,U_210,U_213) )
| ~ mighta(U_213,U_212) )
& ( mighta(U_213,U_212)
| ! [U_209,U_208] :
( ~ status(U_209,U_208,U_212)
| ~ status(U_209,U_208,U_213) ) ) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
( ! [U_217,U_215] :
( ? [U_211,U_210] :
( status(U_211,U_210,U_215)
& status(U_211,U_210,U_217) )
| ~ mighta(U_217,U_215) )
& ! [U_216,U_214] :
( mighta(U_216,U_214)
| ! [U_209,U_208] :
( ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ) ) ),
inference(miniscope,[status(thm)],[f_20_2]) ).
fof(f_20_4,plain,
( ! [U_217,U_215] :
( ? [U_210] :
( status(sK45(U_217,U_215),U_210,U_215)
& status(sK45(U_217,U_215),U_210,U_217) )
| ~ mighta(U_217,U_215) )
& ! [U_216,U_214] :
( mighta(U_216,U_214)
| ! [U_209,U_208] :
( ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(U_211,sK45(U_217,U_215))],[f_20_3]) ).
fof(f_20_5,plain,
( ! [U_217,U_215] :
( ( status(sK45(U_217,U_215),sK46(U_217,U_215),U_215)
& status(sK45(U_217,U_215),sK46(U_217,U_215),U_217) )
| ~ mighta(U_217,U_215) )
& ! [U_216,U_214] :
( mighta(U_216,U_214)
| ! [U_209,U_208] :
( ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(U_210,sK46(U_217,U_215))],[f_20_4]) ).
fof(f_20_6,plain,
( ! [U_215,U_217] :
( status(sK45(U_217,U_215),sK46(U_217,U_215),U_215)
| ~ sP26(U_215,U_217) )
& ! [U_215,U_217] :
( status(sK45(U_217,U_215),sK46(U_217,U_215),U_217)
| ~ sP26(U_215,U_217) )
& ! [U_215,U_217] :
( sP26(U_215,U_217)
| ~ mighta(U_217,U_215) )
& ! [U_214,U_208,U_209,U_216] :
( mighta(U_216,U_214)
| ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP26])],[f_20_5]) ).
cnf(f_20_7,plain,
( mighta(U_216,U_214)
| ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ),
inference(clausify,[status(thm)],[f_20_6]) ).
fof(f_26_1,plain,
! [I,F] :
( ( model(I,F)
| model(I,not(F)) )
& ( ~ model(I,not(F))
| ~ model(I,F) ) ),
inference(fof_nnf,[status(thm)],[not]) ).
fof(f_26_2,plain,
! [U_261,U_260] :
( ( model(U_261,U_260)
| model(U_261,not(U_260)) )
& ( ~ model(U_261,not(U_260))
| ~ model(U_261,U_260) ) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
( ! [U_265,U_263] :
( model(U_265,U_263)
| model(U_265,not(U_263)) )
& ! [U_264,U_262] :
( ~ model(U_264,not(U_262))
| ~ model(U_264,U_262) ) ),
inference(miniscope,[status(thm)],[f_26_2]) ).
fof(f_26_4,plain,
( ! [U_265,U_263] :
( model(U_265,U_263)
| model(U_265,not(U_263)) )
& ! [U_262,U_264] :
( ~ model(U_264,not(U_262))
| ~ model(U_264,U_262) ) ),
inference(definitional_conversion,[status(esa)],[f_26_3]) ).
cnf(f_26_5,plain,
( ~ model(U_264,not(U_262))
| ~ model(U_264,U_262) ),
inference(clausify,[status(thm)],[f_26_4]) ).
cnf(f_26_6,plain,
( model(U_265,U_263)
| model(U_265,not(U_263)) ),
inference(clausify,[status(thm)],[f_26_4]) ).
fof(f_32_1,plain,
? [I1,Ax,C] :
( ? [I2] : model(I2,C)
& ~ model(I1,C)
& model(I1,Ax) ),
inference(fof_nnf,[status(thm)],[non_thm_spt]) ).
fof(f_32_2,plain,
? [U_288,U_287,U_286] :
( ? [U_285] : model(U_285,U_286)
& ~ model(U_288,U_286)
& model(U_288,U_287) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
? [U_288] :
( ? [U_287] : model(U_288,U_287)
& ? [U_286] :
( ? [U_285] : model(U_285,U_286)
& ~ model(U_288,U_286) ) ),
inference(miniscope,[status(thm)],[f_32_2]) ).
fof(f_32_4,plain,
( ? [U_287] : model(sK70,U_287)
& ? [U_286] :
( ? [U_285] : model(U_285,U_286)
& ~ model(sK70,U_286) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(U_288,sK70)],[f_32_3]) ).
fof(f_32_5,plain,
( ? [U_287] : model(sK70,U_287)
& ? [U_285] : model(U_285,sK71)
& ~ model(sK70,sK71) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71]),skolemize(U_286,sK71)],[f_32_4]) ).
fof(f_32_6,plain,
( ? [U_287] : model(sK70,U_287)
& model(sK72,sK71)
& ~ model(sK70,sK71) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(U_285,sK72)],[f_32_5]) ).
fof(f_32_7,plain,
( model(sK70,sK73)
& model(sK72,sK71)
& ~ model(sK70,sK71) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(U_287,sK73)],[f_32_6]) ).
fof(f_32_8,plain,
( model(sK70,sK73)
& model(sK72,sK71)
& ~ model(sK70,sK71) ),
inference(definitional_conversion,[status(esa)],[f_32_7]) ).
cnf(f_32_9,plain,
~ model(sK70,sK71),
inference(clausify,[status(thm)],[f_32_8]) ).
cnf(f_32_10,plain,
model(sK72,sK71),
inference(clausify,[status(thm)],[f_32_8]) ).
fof(f_33_1,negated_conjecture,
~ mighta(eth,thm),
inference(negate,[status(cth)],[mighta_eth_thm]) ).
fof(f_33_2,negated_conjecture,
~ mighta(eth,thm),
inference(definitional_conversion,[status(esa)],[f_33_1]) ).
cnf(f_33_3,negated_conjecture,
~ mighta(eth,thm),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(t1,plain,
~ mighta(eth,thm),
inference(start,[status(thm),parent(0:0)],[f_33_3]) ).
cnf(t2,plain,
( ~ status(not(sK71),not(sK71),thm)
| ~ status(not(sK71),not(sK71),eth)
| mighta(eth,thm) ),
inference(extension,[status(thm),parent(t1:1)],[f_20_7]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( sP13(not(sK71),not(sK71))
| sP14(not(sK71),not(sK71))
| model(sK72,not(sK71))
| ~ model(sK70,not(sK71))
| status(not(sK71),not(sK71),eth) ),
inference(extension,[status(thm),parent(t2:2)],[f_9_9]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( model(sK70,sK71)
| model(sK70,not(sK71)) ),
inference(extension,[status(thm),parent(t4:2)],[f_26_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
~ model(sK70,sK71),
inference(extension,[status(thm),parent(t6:2)],[f_32_9]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ model(sK72,sK71)
| ~ model(sK72,not(sK71)) ),
inference(extension,[status(thm),parent(t4:3)],[f_26_5]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:3]) ).
cnf(t12,plain,
model(sK72,sK71),
inference(extension,[status(thm),parent(t10:2)],[f_32_10]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ model(sK20(not(sK71),not(sK71)),not(sK71))
| ~ sP14(not(sK71),not(sK71)) ),
inference(extension,[status(thm),parent(t4:4)],[f_9_14]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t4:4]) ).
cnf(t16,plain,
( ~ sP14(not(sK71),not(sK71))
| model(sK20(not(sK71),not(sK71)),not(sK71)) ),
inference(extension,[status(thm),parent(t14:2)],[f_9_13]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
$false,
inference(reduction,[status(thm),parent(t16:2)],[t16:2,t4:4]) ).
cnf(t19,plain,
( model(sK19(not(sK71),not(sK71)),not(sK71))
| ~ sP13(not(sK71),not(sK71)) ),
inference(extension,[status(thm),parent(t4:5)],[f_9_11]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t4:5]) ).
cnf(t21,plain,
( ~ sP13(not(sK71),not(sK71))
| ~ model(sK19(not(sK71),not(sK71)),not(sK71)) ),
inference(extension,[status(thm),parent(t19:2)],[f_9_12]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t19:2]) ).
cnf(t23,plain,
$false,
inference(reduction,[status(thm),parent(t21:2)],[t21:2,t4:5]) ).
cnf(t24,plain,
( sP6(not(sK71),not(sK71))
| status(not(sK71),not(sK71),thm) ),
inference(extension,[status(thm),parent(t2:3)],[f_5_6]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t2:3]) ).
cnf(t26,plain,
( model(sK10(not(sK71),not(sK71)),not(sK71))
| ~ sP6(not(sK71),not(sK71)) ),
inference(extension,[status(thm),parent(t24:2)],[f_5_8]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
( ~ sP6(not(sK71),not(sK71))
| ~ model(sK10(not(sK71),not(sK71)),not(sK71)) ),
inference(extension,[status(thm),parent(t26:2)],[f_5_9]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
$false,
inference(reduction,[status(thm),parent(t28:2)],[t28:2,t24:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS261+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 19 12:21:57 UTC 2026
% 0.09/5.37 % CPUTime :
% 206.43/211.73 % SZS status Theorem for theBenchmark
% 206.43/211.73 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------