%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS178+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 : n008.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 08:47:27 AM UTC 2026
% Result : Theorem 0.09s 0.41s
% Output : Proof 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(mighta,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) )
<=> mighta(S1,S2) ),
file('KRS001+1.ax',mighta) ).
fof(isa,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> status(Ax,C,S2) )
<=> isa(S1,S2) ),
file('KRS001+1.ax',isa) ).
fof(nota,axiom,
! [S1,S2] :
( ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) )
<=> nota(S1,S2) ),
file('KRS001+1.ax',nota) ).
fof(nevera,axiom,
! [S1,S2] :
( ! [Ax,C] :
( status(Ax,C,S1)
=> ~ status(Ax,C,S2) )
<=> nevera(S1,S2) ),
file('KRS001+1.ax',nevera) ).
fof(xora,axiom,
! [S1,S2] :
( ! [Ax,C] :
( ( status(Ax,C,S2)
& ~ status(Ax,C,S1) )
| ( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) )
<=> xora(S1,S2) ),
file('KRS001+1.ax',xora) ).
fof(completeness,axiom,
! [I,F] :
( ( model(I,not(F))
& ~ model(I,F) )
| ( ~ model(I,not(F))
& model(I,F) ) ),
file('KRS001+1.ax',completeness) ).
fof(not,axiom,
! [I,F] :
( model(I,F)
<=> ~ model(I,not(F)) ),
file('KRS001+1.ax',not) ).
fof(tautology,axiom,
? [F] :
! [I] : model(I,F),
file('KRS001+1.ax',tautology) ).
fof(satisfiable,axiom,
? [F] :
( ? [I2] : ~ model(I2,F)
& ? [I1] : model(I1,F) ),
file('KRS001+1.ax',satisfiable) ).
fof(contradiction,axiom,
? [F] :
! [I] : ~ model(I,F),
file('KRS001+1.ax',contradiction) ).
fof(sat_non_taut_pair,axiom,
? [Ax,C] :
( ? [I2] :
( ~ model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] :
( model(I1,C)
& model(I1,Ax) ) ),
file('KRS001+1.ax',sat_non_taut_pair) ).
fof(mixed_pair,axiom,
? [Ax,C] :
( ? [I4] : ~ model(I4,C)
& ? [I3] :
( model(I3,C)
& ~ model(I3,Ax) )
& ! [I2] :
( model(I2,Ax)
=> model(I2,C) )
& ? [I1] : model(I1,Ax) ),
file('KRS001+1.ax',mixed_pair) ).
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(isa_reflexive,conjecture,
! [S1] : isa(S1,S1),
file('theBenchmark.p',isa_reflexive) ).
fof(f_1_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_1_2,plain,
! [U_5,U_4] :
( ( ? [U_3,U_2] :
( status(U_3,U_2,U_4)
& status(U_3,U_2,U_5) )
| ~ mighta(U_5,U_4) )
& ( mighta(U_5,U_4)
| ! [U_1,U_0] :
( ~ status(U_1,U_0,U_4)
| ~ status(U_1,U_0,U_5) ) ) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_9,U_7] :
( ? [U_3,U_2] :
( status(U_3,U_2,U_7)
& status(U_3,U_2,U_9) )
| ~ mighta(U_9,U_7) )
& ! [U_8,U_6] :
( mighta(U_8,U_6)
| ! [U_1,U_0] :
( ~ status(U_1,U_0,U_6)
| ~ status(U_1,U_0,U_8) ) ) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
fof(f_1_4,plain,
( ! [U_9,U_7] :
( ? [U_2] :
( status(sK1(U_9,U_7),U_2,U_7)
& status(sK1(U_9,U_7),U_2,U_9) )
| ~ mighta(U_9,U_7) )
& ! [U_8,U_6] :
( mighta(U_8,U_6)
| ! [U_1,U_0] :
( ~ status(U_1,U_0,U_6)
| ~ status(U_1,U_0,U_8) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_3,sK1(U_9,U_7))],[f_1_3]) ).
fof(f_1_5,plain,
( ! [U_9,U_7] :
( ( status(sK1(U_9,U_7),sK2(U_9,U_7),U_7)
& status(sK1(U_9,U_7),sK2(U_9,U_7),U_9) )
| ~ mighta(U_9,U_7) )
& ! [U_8,U_6] :
( mighta(U_8,U_6)
| ! [U_1,U_0] :
( ~ status(U_1,U_0,U_6)
| ~ status(U_1,U_0,U_8) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_2,sK2(U_9,U_7))],[f_1_4]) ).
cnf(f_1_6,plain,
( mighta(U_8,U_6)
| ~ status(U_1,U_0,U_6)
| ~ status(U_1,U_0,U_8) ),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_7,plain,
( status(sK1(U_9,U_7),sK2(U_9,U_7),U_9)
| ~ mighta(U_9,U_7) ),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_8,plain,
( status(sK1(U_9,U_7),sK2(U_9,U_7),U_7)
| ~ mighta(U_9,U_7) ),
inference(clausify,[status(thm)],[f_1_5]) ).
fof(f_2_1,plain,
! [S1,S2] :
( ( ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) )
| ~ isa(S1,S2) )
& ( isa(S1,S2)
| ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) ) ),
inference(fof_nnf,[status(thm)],[isa]) ).
fof(f_2_2,plain,
! [U_15,U_14] :
( ( ! [U_13,U_12] :
( status(U_13,U_12,U_14)
| ~ status(U_13,U_12,U_15) )
| ~ isa(U_15,U_14) )
& ( isa(U_15,U_14)
| ? [U_11,U_10] :
( ~ status(U_11,U_10,U_14)
& status(U_11,U_10,U_15) ) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_19,U_17] :
( ! [U_13,U_12] :
( status(U_13,U_12,U_17)
| ~ status(U_13,U_12,U_19) )
| ~ isa(U_19,U_17) )
& ! [U_18,U_16] :
( isa(U_18,U_16)
| ? [U_11,U_10] :
( ~ status(U_11,U_10,U_16)
& status(U_11,U_10,U_18) ) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
fof(f_2_4,plain,
( ! [U_19,U_17] :
( ! [U_13,U_12] :
( status(U_13,U_12,U_17)
| ~ status(U_13,U_12,U_19) )
| ~ isa(U_19,U_17) )
& ! [U_18,U_16] :
( isa(U_18,U_16)
| ? [U_10] :
( ~ status(sK3(U_18,U_16),U_10,U_16)
& status(sK3(U_18,U_16),U_10,U_18) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_11,sK3(U_18,U_16))],[f_2_3]) ).
fof(f_2_5,plain,
( ! [U_19,U_17] :
( ! [U_13,U_12] :
( status(U_13,U_12,U_17)
| ~ status(U_13,U_12,U_19) )
| ~ isa(U_19,U_17) )
& ! [U_18,U_16] :
( isa(U_18,U_16)
| ( ~ status(sK3(U_18,U_16),sK4(U_18,U_16),U_16)
& status(sK3(U_18,U_16),sK4(U_18,U_16),U_18) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_10,sK4(U_18,U_16))],[f_2_4]) ).
cnf(f_2_6,plain,
( status(sK3(U_18,U_16),sK4(U_18,U_16),U_18)
| isa(U_18,U_16) ),
inference(clausify,[status(thm)],[f_2_5]) ).
cnf(f_2_7,plain,
( ~ status(sK3(U_18,U_16),sK4(U_18,U_16),U_16)
| isa(U_18,U_16) ),
inference(clausify,[status(thm)],[f_2_5]) ).
cnf(f_2_8,plain,
( status(U_13,U_12,U_17)
| ~ status(U_13,U_12,U_19)
| ~ isa(U_19,U_17) ),
inference(clausify,[status(thm)],[f_2_5]) ).
fof(f_3_1,plain,
! [S1,S2] :
( ( ? [Ax,C] :
( ~ status(Ax,C,S2)
& status(Ax,C,S1) )
| ~ nota(S1,S2) )
& ( nota(S1,S2)
| ! [Ax,C] :
( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(fof_nnf,[status(thm)],[nota]) ).
fof(f_3_2,plain,
! [U_25,U_24] :
( ( ? [U_23,U_22] :
( ~ status(U_23,U_22,U_24)
& status(U_23,U_22,U_25) )
| ~ nota(U_25,U_24) )
& ( nota(U_25,U_24)
| ! [U_21,U_20] :
( status(U_21,U_20,U_24)
| ~ status(U_21,U_20,U_25) ) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_29,U_27] :
( ? [U_23,U_22] :
( ~ status(U_23,U_22,U_27)
& status(U_23,U_22,U_29) )
| ~ nota(U_29,U_27) )
& ! [U_28,U_26] :
( nota(U_28,U_26)
| ! [U_21,U_20] :
( status(U_21,U_20,U_26)
| ~ status(U_21,U_20,U_28) ) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
( ! [U_29,U_27] :
( ? [U_22] :
( ~ status(sK5(U_29,U_27),U_22,U_27)
& status(sK5(U_29,U_27),U_22,U_29) )
| ~ nota(U_29,U_27) )
& ! [U_28,U_26] :
( nota(U_28,U_26)
| ! [U_21,U_20] :
( status(U_21,U_20,U_26)
| ~ status(U_21,U_20,U_28) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_23,sK5(U_29,U_27))],[f_3_3]) ).
fof(f_3_5,plain,
( ! [U_29,U_27] :
( ( ~ status(sK5(U_29,U_27),sK6(U_29,U_27),U_27)
& status(sK5(U_29,U_27),sK6(U_29,U_27),U_29) )
| ~ nota(U_29,U_27) )
& ! [U_28,U_26] :
( nota(U_28,U_26)
| ! [U_21,U_20] :
( status(U_21,U_20,U_26)
| ~ status(U_21,U_20,U_28) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_22,sK6(U_29,U_27))],[f_3_4]) ).
cnf(f_3_6,plain,
( nota(U_28,U_26)
| status(U_21,U_20,U_26)
| ~ status(U_21,U_20,U_28) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_7,plain,
( status(sK5(U_29,U_27),sK6(U_29,U_27),U_29)
| ~ nota(U_29,U_27) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_8,plain,
( ~ status(sK5(U_29,U_27),sK6(U_29,U_27),U_27)
| ~ nota(U_29,U_27) ),
inference(clausify,[status(thm)],[f_3_5]) ).
fof(f_4_1,plain,
! [S1,S2] :
( ( ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) )
| ~ nevera(S1,S2) )
& ( nevera(S1,S2)
| ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) ) ) ),
inference(fof_nnf,[status(thm)],[nevera]) ).
fof(f_4_2,plain,
! [U_35,U_34] :
( ( ! [U_33,U_32] :
( ~ status(U_33,U_32,U_34)
| ~ status(U_33,U_32,U_35) )
| ~ nevera(U_35,U_34) )
& ( nevera(U_35,U_34)
| ? [U_31,U_30] :
( status(U_31,U_30,U_34)
& status(U_31,U_30,U_35) ) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_39,U_37] :
( ! [U_33,U_32] :
( ~ status(U_33,U_32,U_37)
| ~ status(U_33,U_32,U_39) )
| ~ nevera(U_39,U_37) )
& ! [U_38,U_36] :
( nevera(U_38,U_36)
| ? [U_31,U_30] :
( status(U_31,U_30,U_36)
& status(U_31,U_30,U_38) ) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ! [U_39,U_37] :
( ! [U_33,U_32] :
( ~ status(U_33,U_32,U_37)
| ~ status(U_33,U_32,U_39) )
| ~ nevera(U_39,U_37) )
& ! [U_38,U_36] :
( nevera(U_38,U_36)
| ? [U_30] :
( status(sK7(U_38,U_36),U_30,U_36)
& status(sK7(U_38,U_36),U_30,U_38) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_31,sK7(U_38,U_36))],[f_4_3]) ).
fof(f_4_5,plain,
( ! [U_39,U_37] :
( ! [U_33,U_32] :
( ~ status(U_33,U_32,U_37)
| ~ status(U_33,U_32,U_39) )
| ~ nevera(U_39,U_37) )
& ! [U_38,U_36] :
( nevera(U_38,U_36)
| ( status(sK7(U_38,U_36),sK8(U_38,U_36),U_36)
& status(sK7(U_38,U_36),sK8(U_38,U_36),U_38) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_30,sK8(U_38,U_36))],[f_4_4]) ).
cnf(f_4_6,plain,
( status(sK7(U_38,U_36),sK8(U_38,U_36),U_38)
| nevera(U_38,U_36) ),
inference(clausify,[status(thm)],[f_4_5]) ).
cnf(f_4_7,plain,
( status(sK7(U_38,U_36),sK8(U_38,U_36),U_36)
| nevera(U_38,U_36) ),
inference(clausify,[status(thm)],[f_4_5]) ).
cnf(f_4_8,plain,
( ~ status(U_33,U_32,U_37)
| ~ status(U_33,U_32,U_39)
| ~ nevera(U_39,U_37) ),
inference(clausify,[status(thm)],[f_4_5]) ).
fof(f_5_1,plain,
! [S1,S2] :
( ( ! [Ax,C] :
( ( status(Ax,C,S2)
& ~ status(Ax,C,S1) )
| ( ~ status(Ax,C,S2)
& status(Ax,C,S1) ) )
| ~ xora(S1,S2) )
& ( xora(S1,S2)
| ? [Ax,C] :
( ( ~ status(Ax,C,S2)
| status(Ax,C,S1) )
& ( status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ) ),
inference(fof_nnf,[status(thm)],[xora]) ).
fof(f_5_2,plain,
! [U_45,U_44] :
( ( ! [U_43,U_42] :
( ( status(U_43,U_42,U_44)
& ~ status(U_43,U_42,U_45) )
| ( ~ status(U_43,U_42,U_44)
& status(U_43,U_42,U_45) ) )
| ~ xora(U_45,U_44) )
& ( xora(U_45,U_44)
| ? [U_41,U_40] :
( ( ~ status(U_41,U_40,U_44)
| status(U_41,U_40,U_45) )
& ( status(U_41,U_40,U_44)
| ~ status(U_41,U_40,U_45) ) ) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_49,U_47] :
( ! [U_43,U_42] :
( ( status(U_43,U_42,U_47)
& ~ status(U_43,U_42,U_49) )
| ( ~ status(U_43,U_42,U_47)
& status(U_43,U_42,U_49) ) )
| ~ xora(U_49,U_47) )
& ! [U_48,U_46] :
( xora(U_48,U_46)
| ? [U_41,U_40] :
( ( ~ status(U_41,U_40,U_46)
| status(U_41,U_40,U_48) )
& ( status(U_41,U_40,U_46)
| ~ status(U_41,U_40,U_48) ) ) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_49,U_47] :
( ! [U_43,U_42] :
( ( status(U_43,U_42,U_47)
& ~ status(U_43,U_42,U_49) )
| ( ~ status(U_43,U_42,U_47)
& status(U_43,U_42,U_49) ) )
| ~ xora(U_49,U_47) )
& ! [U_48,U_46] :
( xora(U_48,U_46)
| ? [U_40] :
( ( ~ status(sK9(U_48,U_46),U_40,U_46)
| status(sK9(U_48,U_46),U_40,U_48) )
& ( status(sK9(U_48,U_46),U_40,U_46)
| ~ status(sK9(U_48,U_46),U_40,U_48) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_41,sK9(U_48,U_46))],[f_5_3]) ).
fof(f_5_5,plain,
( ! [U_49,U_47] :
( ! [U_43,U_42] :
( ( status(U_43,U_42,U_47)
& ~ status(U_43,U_42,U_49) )
| ( ~ status(U_43,U_42,U_47)
& status(U_43,U_42,U_49) ) )
| ~ xora(U_49,U_47) )
& ! [U_48,U_46] :
( xora(U_48,U_46)
| ( ( ~ status(sK9(U_48,U_46),sK10(U_48,U_46),U_46)
| status(sK9(U_48,U_46),sK10(U_48,U_46),U_48) )
& ( status(sK9(U_48,U_46),sK10(U_48,U_46),U_46)
| ~ status(sK9(U_48,U_46),sK10(U_48,U_46),U_48) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_40,sK10(U_48,U_46))],[f_5_4]) ).
cnf(f_5_6,plain,
( status(sK9(U_48,U_46),sK10(U_48,U_46),U_46)
| ~ status(sK9(U_48,U_46),sK10(U_48,U_46),U_48)
| xora(U_48,U_46) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_7,plain,
( ~ status(sK9(U_48,U_46),sK10(U_48,U_46),U_46)
| status(sK9(U_48,U_46),sK10(U_48,U_46),U_48)
| xora(U_48,U_46) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_8,plain,
( ~ status(U_43,U_42,U_49)
| status(U_43,U_42,U_49)
| ~ xora(U_49,U_47) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_9,plain,
( status(U_43,U_42,U_47)
| status(U_43,U_42,U_49)
| ~ xora(U_49,U_47) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_10,plain,
( ~ status(U_43,U_42,U_49)
| ~ status(U_43,U_42,U_47)
| ~ xora(U_49,U_47) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_11,plain,
( status(U_43,U_42,U_47)
| ~ status(U_43,U_42,U_47)
| ~ xora(U_49,U_47) ),
inference(clausify,[status(thm)],[f_5_5]) ).
fof(f_6_1,plain,
! [I,F] :
( ( model(I,not(F))
& ~ model(I,F) )
| ( ~ model(I,not(F))
& model(I,F) ) ),
inference(fof_nnf,[status(thm)],[completeness]) ).
fof(f_6_2,plain,
! [U_51,U_50] :
( ( model(U_51,not(U_50))
& ~ model(U_51,U_50) )
| ( ~ model(U_51,not(U_50))
& model(U_51,U_50) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( ~ model(U_51,U_50)
| model(U_51,U_50) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_4,plain,
( model(U_51,not(U_50))
| model(U_51,U_50) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_5,plain,
( ~ model(U_51,U_50)
| ~ model(U_51,not(U_50)) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_6,plain,
( model(U_51,not(U_50))
| ~ model(U_51,not(U_50)) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_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_7_2,plain,
! [U_53,U_52] :
( ( model(U_53,U_52)
| model(U_53,not(U_52)) )
& ( ~ model(U_53,not(U_52))
| ~ model(U_53,U_52) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_57,U_55] :
( model(U_57,U_55)
| model(U_57,not(U_55)) )
& ! [U_56,U_54] :
( ~ model(U_56,not(U_54))
| ~ model(U_56,U_54) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( ~ model(U_56,not(U_54))
| ~ model(U_56,U_54) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_5,plain,
( model(U_57,U_55)
| model(U_57,not(U_55)) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
? [F] :
! [I] : model(I,F),
inference(fof_nnf,[status(thm)],[tautology]) ).
fof(f_8_2,plain,
? [U_59] :
! [U_58] : model(U_58,U_59),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_58] : model(U_58,sK11),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_59,sK11)],[f_8_2]) ).
cnf(f_8_4,plain,
model(U_58,sK11),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
? [F] :
( ? [I2] : ~ model(I2,F)
& ? [I1] : model(I1,F) ),
inference(fof_nnf,[status(thm)],[satisfiable]) ).
fof(f_9_2,plain,
? [U_62] :
( ? [U_61] : ~ model(U_61,U_62)
& ? [U_60] : model(U_60,U_62) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ? [U_61] : ~ model(U_61,sK12)
& ? [U_60] : model(U_60,sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_62,sK12)],[f_9_2]) ).
fof(f_9_4,plain,
( ? [U_61] : ~ model(U_61,sK12)
& model(sK13,sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_60,sK13)],[f_9_3]) ).
fof(f_9_5,plain,
( ~ model(sK14,sK12)
& model(sK13,sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_61,sK14)],[f_9_4]) ).
cnf(f_9_6,plain,
model(sK13,sK12),
inference(clausify,[status(thm)],[f_9_5]) ).
cnf(f_9_7,plain,
~ model(sK14,sK12),
inference(clausify,[status(thm)],[f_9_5]) ).
fof(f_10_1,plain,
? [F] :
! [I] : ~ model(I,F),
inference(fof_nnf,[status(thm)],[contradiction]) ).
fof(f_10_2,plain,
? [U_64] :
! [U_63] : ~ model(U_63,U_64),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_63] : ~ model(U_63,sK15),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_64,sK15)],[f_10_2]) ).
cnf(f_10_4,plain,
~ model(U_63,sK15),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
? [Ax,C] :
( ? [I2] :
( ~ model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] :
( model(I1,C)
& model(I1,Ax) ) ),
inference(fof_nnf,[status(thm)],[sat_non_taut_pair]) ).
fof(f_11_2,plain,
? [U_68,U_67] :
( ? [U_66] :
( ~ model(U_66,U_67)
| ~ model(U_66,U_68) )
& ? [U_65] :
( model(U_65,U_67)
& model(U_65,U_68) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
? [U_68,U_67] :
( ( ? [U_70] : ~ model(U_70,U_67)
| ? [U_69] : ~ model(U_69,U_68) )
& ? [U_65] :
( model(U_65,U_67)
& model(U_65,U_68) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
fof(f_11_4,plain,
? [U_67] :
( ( ? [U_70] : ~ model(U_70,U_67)
| ? [U_69] : ~ model(U_69,sK16) )
& ? [U_65] :
( model(U_65,U_67)
& model(U_65,sK16) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_68,sK16)],[f_11_3]) ).
fof(f_11_5,plain,
( ( ? [U_70] : ~ model(U_70,sK17)
| ? [U_69] : ~ model(U_69,sK16) )
& ? [U_65] :
( model(U_65,sK17)
& model(U_65,sK16) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_67,sK17)],[f_11_4]) ).
fof(f_11_6,plain,
( ( ? [U_70] : ~ model(U_70,sK17)
| ? [U_69] : ~ model(U_69,sK16) )
& model(sK18,sK17)
& model(sK18,sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_65,sK18)],[f_11_5]) ).
fof(f_11_7,plain,
( ( ? [U_70] : ~ model(U_70,sK17)
| ~ model(sK19,sK16) )
& model(sK18,sK17)
& model(sK18,sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_69,sK19)],[f_11_6]) ).
fof(f_11_8,plain,
( ( ~ model(sK20,sK17)
| ~ model(sK19,sK16) )
& model(sK18,sK17)
& model(sK18,sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_70,sK20)],[f_11_7]) ).
cnf(f_11_9,plain,
model(sK18,sK16),
inference(clausify,[status(thm)],[f_11_8]) ).
cnf(f_11_10,plain,
model(sK18,sK17),
inference(clausify,[status(thm)],[f_11_8]) ).
cnf(f_11_11,plain,
( ~ model(sK20,sK17)
| ~ model(sK19,sK16) ),
inference(clausify,[status(thm)],[f_11_8]) ).
fof(f_12_1,plain,
? [Ax,C] :
( ? [I4] : ~ model(I4,C)
& ? [I3] :
( model(I3,C)
& ~ model(I3,Ax) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) ),
inference(fof_nnf,[status(thm)],[mixed_pair]) ).
fof(f_12_2,plain,
? [U_76,U_75] :
( ? [U_74] : ~ model(U_74,U_75)
& ? [U_73] :
( model(U_73,U_75)
& ~ model(U_73,U_76) )
& ! [U_72] :
( model(U_72,U_75)
| ~ model(U_72,U_76) )
& ? [U_71] : model(U_71,U_76) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
? [U_76] :
( ? [U_75] :
( ? [U_74] : ~ model(U_74,U_75)
& ? [U_73] :
( model(U_73,U_75)
& ~ model(U_73,U_76) )
& ! [U_72] :
( model(U_72,U_75)
| ~ model(U_72,U_76) ) )
& ? [U_71] : model(U_71,U_76) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
fof(f_12_4,plain,
( ? [U_75] :
( ? [U_74] : ~ model(U_74,U_75)
& ? [U_73] :
( model(U_73,U_75)
& ~ model(U_73,sK21) )
& ! [U_72] :
( model(U_72,U_75)
| ~ model(U_72,sK21) ) )
& ? [U_71] : model(U_71,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_76,sK21)],[f_12_3]) ).
fof(f_12_5,plain,
( ? [U_75] :
( ? [U_74] : ~ model(U_74,U_75)
& ? [U_73] :
( model(U_73,U_75)
& ~ model(U_73,sK21) )
& ! [U_72] :
( model(U_72,U_75)
| ~ model(U_72,sK21) ) )
& model(sK22,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_71,sK22)],[f_12_4]) ).
fof(f_12_6,plain,
( ? [U_74] : ~ model(U_74,sK23)
& ? [U_73] :
( model(U_73,sK23)
& ~ model(U_73,sK21) )
& ! [U_72] :
( model(U_72,sK23)
| ~ model(U_72,sK21) )
& model(sK22,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_75,sK23)],[f_12_5]) ).
fof(f_12_7,plain,
( ? [U_74] : ~ model(U_74,sK23)
& model(sK24,sK23)
& ~ model(sK24,sK21)
& ! [U_72] :
( model(U_72,sK23)
| ~ model(U_72,sK21) )
& model(sK22,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_73,sK24)],[f_12_6]) ).
fof(f_12_8,plain,
( ~ model(sK25,sK23)
& model(sK24,sK23)
& ~ model(sK24,sK21)
& ! [U_72] :
( model(U_72,sK23)
| ~ model(U_72,sK21) )
& model(sK22,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_74,sK25)],[f_12_7]) ).
cnf(f_12_9,plain,
model(sK22,sK21),
inference(clausify,[status(thm)],[f_12_8]) ).
cnf(f_12_10,plain,
( model(U_72,sK23)
| ~ model(U_72,sK21) ),
inference(clausify,[status(thm)],[f_12_8]) ).
cnf(f_12_11,plain,
~ model(sK24,sK21),
inference(clausify,[status(thm)],[f_12_8]) ).
cnf(f_12_12,plain,
model(sK24,sK23),
inference(clausify,[status(thm)],[f_12_8]) ).
cnf(f_12_13,plain,
~ model(sK25,sK23),
inference(clausify,[status(thm)],[f_12_8]) ).
fof(f_13_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_13_2,plain,
? [U_80,U_79,U_78] :
( ? [U_77] : model(U_77,U_78)
& ~ model(U_80,U_78)
& model(U_80,U_79) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
? [U_80] :
( ? [U_79] : model(U_80,U_79)
& ? [U_78] :
( ? [U_77] : model(U_77,U_78)
& ~ model(U_80,U_78) ) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
fof(f_13_4,plain,
( ? [U_79] : model(sK26,U_79)
& ? [U_78] :
( ? [U_77] : model(U_77,U_78)
& ~ model(sK26,U_78) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_80,sK26)],[f_13_3]) ).
fof(f_13_5,plain,
( ? [U_79] : model(sK26,U_79)
& ? [U_77] : model(U_77,sK27)
& ~ model(sK26,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_78,sK27)],[f_13_4]) ).
fof(f_13_6,plain,
( ? [U_79] : model(sK26,U_79)
& model(sK28,sK27)
& ~ model(sK26,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_77,sK28)],[f_13_5]) ).
fof(f_13_7,plain,
( model(sK26,sK29)
& model(sK28,sK27)
& ~ model(sK26,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_79,sK29)],[f_13_6]) ).
cnf(f_13_8,plain,
~ model(sK26,sK27),
inference(clausify,[status(thm)],[f_13_7]) ).
cnf(f_13_9,plain,
model(sK28,sK27),
inference(clausify,[status(thm)],[f_13_7]) ).
cnf(f_13_10,plain,
model(sK26,sK29),
inference(clausify,[status(thm)],[f_13_7]) ).
fof(f_14_1,negated_conjecture,
~ ! [S1] : isa(S1,S1),
inference(negate,[status(cth)],[isa_reflexive]) ).
fof(f_14_2,negated_conjecture,
? [S1] : ~ isa(S1,S1),
inference(fof_nnf,[status(thm)],[f_14_1]) ).
fof(f_14_3,negated_conjecture,
? [U_81] : ~ isa(U_81,U_81),
inference(variable_rename,[status(thm)],[f_14_2]) ).
fof(f_14_4,negated_conjecture,
~ isa(sK30,sK30),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_81,sK30)],[f_14_3]) ).
fof(f_14_5,negated_conjecture,
~ isa(sK30,sK30),
inference(definitional_conversion,[status(esa)],[f_14_4]) ).
cnf(f_14_6,negated_conjecture,
~ isa(sK30,sK30),
inference(clausify,[status(thm)],[f_14_5]) ).
cnf(f_5_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_5_8]) ).
cnf(f_5_11_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_5_11]) ).
cnf(f_6_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_6_3]) ).
cnf(f_6_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_6_6]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS178+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 19 12:17:23 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.41 % SZS status Theorem for theBenchmark
% 0.09/0.41 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------