%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS078+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 : 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 08:47:13 AM UTC 2026
% Result : Unsatisfiable 1.89s 2.18s
% Output : Proof 1.96s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(cUnsatisfiable_substitution_1,axiom,
! [A,B] :
( ( cUnsatisfiable(A)
& A = B )
=> cUnsatisfiable(B) ),
file('theBenchmark.p',cUnsatisfiable_substitution_1) ).
fof(cowlNothing_substitution_1,axiom,
! [A,B] :
( ( cowlNothing(A)
& A = B )
=> cowlNothing(B) ),
file('theBenchmark.p',cowlNothing_substitution_1) ).
fof(cowlThing_substitution_1,axiom,
! [A,B] :
( ( cowlThing(A)
& A = B )
=> cowlThing(B) ),
file('theBenchmark.p',cowlThing_substitution_1) ).
fof(cp_substitution_1,axiom,
! [A,B] :
( ( cp(A)
& A = B )
=> cp(B) ),
file('theBenchmark.p',cp_substitution_1) ).
fof(cq_substitution_1,axiom,
! [A,B] :
( ( cq(A)
& A = B )
=> cq(B) ),
file('theBenchmark.p',cq_substitution_1) ).
fof(rinvR_substitution_1,axiom,
! [A,B,C] :
( ( rinvR(A,C)
& A = B )
=> rinvR(B,C) ),
file('theBenchmark.p',rinvR_substitution_1) ).
fof(rinvR_substitution_2,axiom,
! [A,B,C] :
( ( rinvR(C,A)
& A = B )
=> rinvR(C,B) ),
file('theBenchmark.p',rinvR_substitution_2) ).
fof(rr_substitution_1,axiom,
! [A,B,C] :
( ( rr(A,C)
& A = B )
=> rr(B,C) ),
file('theBenchmark.p',rr_substitution_1) ).
fof(rr_substitution_2,axiom,
! [A,B,C] :
( ( rr(C,A)
& A = B )
=> rr(C,B) ),
file('theBenchmark.p',rr_substitution_2) ).
fof(rs_substitution_1,axiom,
! [A,B,C] :
( ( rs(A,C)
& A = B )
=> rs(B,C) ),
file('theBenchmark.p',rs_substitution_1) ).
fof(rs_substitution_2,axiom,
! [A,B,C] :
( ( rs(C,A)
& A = B )
=> rs(C,B) ),
file('theBenchmark.p',rs_substitution_2) ).
fof(xsd_integer_substitution_1,axiom,
! [A,B] :
( ( xsd_integer(A)
& A = B )
=> xsd_integer(B) ),
file('theBenchmark.p',xsd_integer_substitution_1) ).
fof(xsd_string_substitution_1,axiom,
! [A,B] :
( ( xsd_string(A)
& A = B )
=> xsd_string(B) ),
file('theBenchmark.p',xsd_string_substitution_1) ).
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] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( ~ cp(Y)
& ~ cq(Y)
& rs(X,Y) )
& ? [Y] :
( ! [Z0,Z1] :
( ( rinvR(Y,Z1)
& rinvR(Y,Z0) )
=> Z0 = Z1 )
& ? [Z] :
( ! [W] :
( rs(Z,W)
=> cp(W) )
& rinvR(Y,Z) )
& rr(X,Y) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
cUnsatisfiable(i2003_11_14_17_19_13721),
file('theBenchmark.p',axiom_4) ).
fof(f_1_1,plain,
! [A,B] :
( cUnsatisfiable(B)
| ~ cUnsatisfiable(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cUnsatisfiable_substitution_1]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( cUnsatisfiable(U_0)
| ~ cUnsatisfiable(U_1)
| U_1 != U_0 ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_0,U_1] :
( cUnsatisfiable(U_0)
| ~ cUnsatisfiable(U_1)
| U_1 != U_0 ),
inference(definitional_conversion,[status(esa)],[f_1_2]) ).
cnf(f_1_4,plain,
( cUnsatisfiable(U_0)
| ~ cUnsatisfiable(U_1)
| U_1 != U_0 ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [A,B] :
( cowlNothing(B)
| ~ cowlNothing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlNothing_substitution_1]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( cowlNothing(U_2)
| ~ cowlNothing(U_3)
| U_3 != U_2 ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_2,U_3] :
( cowlNothing(U_2)
| ~ cowlNothing(U_3)
| U_3 != U_2 ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,plain,
( cowlNothing(U_2)
| ~ cowlNothing(U_3)
| U_3 != U_2 ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [A,B] :
( cowlThing(B)
| ~ cowlThing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlThing_substitution_1]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( cowlThing(U_4)
| ~ cowlThing(U_5)
| U_5 != U_4 ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_5,U_4] :
( cowlThing(U_4)
| ~ cowlThing(U_5)
| U_5 != U_4 ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( cowlThing(U_4)
| ~ cowlThing(U_5)
| U_5 != U_4 ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [A,B] :
( cp(B)
| ~ cp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp_substitution_1]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( cp(U_6)
| ~ cp(U_7)
| U_7 != U_6 ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_6,U_7] :
( cp(U_6)
| ~ cp(U_7)
| U_7 != U_6 ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( cp(U_6)
| ~ cp(U_7)
| U_7 != U_6 ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [A,B] :
( cq(B)
| ~ cq(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cq_substitution_1]) ).
fof(f_5_2,plain,
! [U_9,U_8] :
( cq(U_8)
| ~ cq(U_9)
| U_9 != U_8 ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_9,U_8] :
( cq(U_8)
| ~ cq(U_9)
| U_9 != U_8 ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( cq(U_8)
| ~ cq(U_9)
| U_9 != U_8 ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [A,B,C] :
( rinvR(B,C)
| ~ rinvR(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvR_substitution_1]) ).
fof(f_6_2,plain,
! [U_12,U_11,U_10] :
( rinvR(U_11,U_10)
| ~ rinvR(U_12,U_10)
| U_12 != U_11 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_12,U_10,U_11] :
( rinvR(U_11,U_10)
| ~ rinvR(U_12,U_10)
| U_12 != U_11 ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( rinvR(U_11,U_10)
| ~ rinvR(U_12,U_10)
| U_12 != U_11 ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [A,B,C] :
( rinvR(C,B)
| ~ rinvR(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvR_substitution_2]) ).
fof(f_7_2,plain,
! [U_15,U_14,U_13] :
( rinvR(U_13,U_14)
| ~ rinvR(U_13,U_15)
| U_15 != U_14 ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_15,U_13,U_14] :
( rinvR(U_13,U_14)
| ~ rinvR(U_13,U_15)
| U_15 != U_14 ),
inference(definitional_conversion,[status(esa)],[f_7_2]) ).
cnf(f_7_4,plain,
( rinvR(U_13,U_14)
| ~ rinvR(U_13,U_15)
| U_15 != U_14 ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [A,B,C] :
( rr(B,C)
| ~ rr(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rr_substitution_1]) ).
fof(f_8_2,plain,
! [U_18,U_17,U_16] :
( rr(U_17,U_16)
| ~ rr(U_18,U_16)
| U_18 != U_17 ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_18,U_16,U_17] :
( rr(U_17,U_16)
| ~ rr(U_18,U_16)
| U_18 != U_17 ),
inference(definitional_conversion,[status(esa)],[f_8_2]) ).
cnf(f_8_4,plain,
( rr(U_17,U_16)
| ~ rr(U_18,U_16)
| U_18 != U_17 ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [A,B,C] :
( rr(C,B)
| ~ rr(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rr_substitution_2]) ).
fof(f_9_2,plain,
! [U_21,U_20,U_19] :
( rr(U_19,U_20)
| ~ rr(U_19,U_21)
| U_21 != U_20 ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_19,U_20,U_21] :
( rr(U_19,U_20)
| ~ rr(U_19,U_21)
| U_21 != U_20 ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( rr(U_19,U_20)
| ~ rr(U_19,U_21)
| U_21 != U_20 ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [A,B,C] :
( rs(B,C)
| ~ rs(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rs_substitution_1]) ).
fof(f_10_2,plain,
! [U_24,U_23,U_22] :
( rs(U_23,U_22)
| ~ rs(U_24,U_22)
| U_24 != U_23 ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_22,U_23,U_24] :
( rs(U_23,U_22)
| ~ rs(U_24,U_22)
| U_24 != U_23 ),
inference(definitional_conversion,[status(esa)],[f_10_2]) ).
cnf(f_10_4,plain,
( rs(U_23,U_22)
| ~ rs(U_24,U_22)
| U_24 != U_23 ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [A,B,C] :
( rs(C,B)
| ~ rs(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rs_substitution_2]) ).
fof(f_11_2,plain,
! [U_27,U_26,U_25] :
( rs(U_25,U_26)
| ~ rs(U_25,U_27)
| U_27 != U_26 ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_25,U_26,U_27] :
( rs(U_25,U_26)
| ~ rs(U_25,U_27)
| U_27 != U_26 ),
inference(definitional_conversion,[status(esa)],[f_11_2]) ).
cnf(f_11_4,plain,
( rs(U_25,U_26)
| ~ rs(U_25,U_27)
| U_27 != U_26 ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_12_2,plain,
! [U_29,U_28] :
( xsd_integer(U_28)
| ~ xsd_integer(U_29)
| U_29 != U_28 ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_29,U_28] :
( xsd_integer(U_28)
| ~ xsd_integer(U_29)
| U_29 != U_28 ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( xsd_integer(U_28)
| ~ xsd_integer(U_29)
| U_29 != U_28 ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_13_2,plain,
! [U_31,U_30] :
( xsd_string(U_30)
| ~ xsd_string(U_31)
| U_31 != U_30 ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_31,U_30] :
( xsd_string(U_30)
| ~ xsd_string(U_31)
| U_31 != U_30 ),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
( xsd_string(U_30)
| ~ xsd_string(U_31)
| U_31 != U_30 ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_14_2,plain,
! [U_32] :
( ~ cowlNothing(U_32)
& cowlThing(U_32) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_34] : ~ cowlNothing(U_34)
& ! [U_33] : cowlThing(U_33) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
fof(f_14_4,plain,
( ! [U_34] : ~ cowlNothing(U_34)
& ! [U_33] : cowlThing(U_33) ),
inference(definitional_conversion,[status(esa)],[f_14_3]) ).
cnf(f_14_5,plain,
cowlThing(U_33),
inference(clausify,[status(thm)],[f_14_4]) ).
cnf(f_14_6,plain,
~ cowlNothing(U_34),
inference(clausify,[status(thm)],[f_14_4]) ).
fof(f_15_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_15_2,plain,
! [U_35] :
( ( xsd_string(U_35)
| xsd_integer(U_35) )
& ( ~ xsd_integer(U_35)
| ~ xsd_string(U_35) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_37] :
( xsd_string(U_37)
| xsd_integer(U_37) )
& ! [U_36] :
( ~ xsd_integer(U_36)
| ~ xsd_string(U_36) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
( ! [U_37] :
( xsd_string(U_37)
| xsd_integer(U_37) )
& ! [U_36] :
( ~ xsd_integer(U_36)
| ~ xsd_string(U_36) ) ),
inference(definitional_conversion,[status(esa)],[f_15_3]) ).
cnf(f_15_5,plain,
( ~ xsd_integer(U_36)
| ~ xsd_string(U_36) ),
inference(clausify,[status(thm)],[f_15_4]) ).
cnf(f_15_6,plain,
( xsd_string(U_37)
| xsd_integer(U_37) ),
inference(clausify,[status(thm)],[f_15_4]) ).
fof(f_16_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ! [Y] :
( cp(Y)
| cq(Y)
| ~ rs(X,Y) )
| ! [Y] :
( ? [Z0,Z1] :
( Z0 != Z1
& rinvR(Y,Z1)
& rinvR(Y,Z0) )
| ! [Z] :
( ? [W] :
( ~ cp(W)
& rs(Z,W) )
| ~ rinvR(Y,Z) )
| ~ rr(X,Y) ) )
& ( ( ? [Y] :
( ~ cp(Y)
& ~ cq(Y)
& rs(X,Y) )
& ? [Y] :
( ! [Z0,Z1] :
( Z0 = Z1
| ~ rinvR(Y,Z1)
| ~ rinvR(Y,Z0) )
& ? [Z] :
( ! [W] :
( cp(W)
| ~ rs(Z,W) )
& rinvR(Y,Z) )
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_16_2,plain,
! [U_50] :
( ( cUnsatisfiable(U_50)
| ! [U_49] :
( cp(U_49)
| cq(U_49)
| ~ rs(U_50,U_49) )
| ! [U_48] :
( ? [U_47,U_46] :
( U_47 != U_46
& rinvR(U_48,U_46)
& rinvR(U_48,U_47) )
| ! [U_45] :
( ? [U_44] :
( ~ cp(U_44)
& rs(U_45,U_44) )
| ~ rinvR(U_48,U_45) )
| ~ rr(U_50,U_48) ) )
& ( ( ? [U_43] :
( ~ cp(U_43)
& ~ cq(U_43)
& rs(U_50,U_43) )
& ? [U_42] :
( ! [U_41,U_40] :
( U_41 = U_40
| ~ rinvR(U_42,U_40)
| ~ rinvR(U_42,U_41) )
& ? [U_39] :
( ! [U_38] :
( cp(U_38)
| ~ rs(U_39,U_38) )
& rinvR(U_42,U_39) )
& rr(U_50,U_42) ) )
| ~ cUnsatisfiable(U_50) ) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
( ! [U_52] :
( cUnsatisfiable(U_52)
| ! [U_49] :
( cp(U_49)
| cq(U_49)
| ~ rs(U_52,U_49) )
| ! [U_48] :
( ? [U_47,U_46] :
( U_47 != U_46
& rinvR(U_48,U_46)
& rinvR(U_48,U_47) )
| ! [U_45] :
( ? [U_44] :
( ~ cp(U_44)
& rs(U_45,U_44) )
| ~ rinvR(U_48,U_45) )
| ~ rr(U_52,U_48) ) )
& ! [U_51] :
( ( ? [U_43] :
( ~ cp(U_43)
& ~ cq(U_43)
& rs(U_51,U_43) )
& ? [U_42] :
( ! [U_41,U_40] :
( U_41 = U_40
| ~ rinvR(U_42,U_40)
| ~ rinvR(U_42,U_41) )
& ? [U_39] :
( ! [U_38] :
( cp(U_38)
| ~ rs(U_39,U_38) )
& rinvR(U_42,U_39) )
& rr(U_51,U_42) ) )
| ~ cUnsatisfiable(U_51) ) ),
inference(miniscope,[status(thm)],[f_16_2]) ).
fof(f_16_4,plain,
( ! [U_52] :
( cUnsatisfiable(U_52)
| ! [U_49] :
( cp(U_49)
| cq(U_49)
| ~ rs(U_52,U_49) )
| ! [U_48] :
( ? [U_47,U_46] :
( U_47 != U_46
& rinvR(U_48,U_46)
& rinvR(U_48,U_47) )
| ! [U_45] :
( ? [U_44] :
( ~ cp(U_44)
& rs(U_45,U_44) )
| ~ rinvR(U_48,U_45) )
| ~ rr(U_52,U_48) ) )
& ! [U_51] :
( ( ? [U_43] :
( ~ cp(U_43)
& ~ cq(U_43)
& rs(U_51,U_43) )
& ! [U_41,U_40] :
( U_41 = U_40
| ~ rinvR(sK1(U_51),U_40)
| ~ rinvR(sK1(U_51),U_41) )
& ? [U_39] :
( ! [U_38] :
( cp(U_38)
| ~ rs(U_39,U_38) )
& rinvR(sK1(U_51),U_39) )
& rr(U_51,sK1(U_51)) )
| ~ cUnsatisfiable(U_51) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_42,sK1(U_51))],[f_16_3]) ).
fof(f_16_5,plain,
( ! [U_52] :
( cUnsatisfiable(U_52)
| ! [U_49] :
( cp(U_49)
| cq(U_49)
| ~ rs(U_52,U_49) )
| ! [U_48] :
( ? [U_47,U_46] :
( U_47 != U_46
& rinvR(U_48,U_46)
& rinvR(U_48,U_47) )
| ! [U_45] :
( ? [U_44] :
( ~ cp(U_44)
& rs(U_45,U_44) )
| ~ rinvR(U_48,U_45) )
| ~ rr(U_52,U_48) ) )
& ! [U_51] :
( ( ? [U_43] :
( ~ cp(U_43)
& ~ cq(U_43)
& rs(U_51,U_43) )
& ! [U_41,U_40] :
( U_41 = U_40
| ~ rinvR(sK1(U_51),U_40)
| ~ rinvR(sK1(U_51),U_41) )
& ! [U_38] :
( cp(U_38)
| ~ rs(sK2(U_51),U_38) )
& rinvR(sK1(U_51),sK2(U_51))
& rr(U_51,sK1(U_51)) )
| ~ cUnsatisfiable(U_51) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_39,sK2(U_51))],[f_16_4]) ).
fof(f_16_6,plain,
( ! [U_52] :
( cUnsatisfiable(U_52)
| ! [U_49] :
( cp(U_49)
| cq(U_49)
| ~ rs(U_52,U_49) )
| ! [U_48] :
( ? [U_47,U_46] :
( U_47 != U_46
& rinvR(U_48,U_46)
& rinvR(U_48,U_47) )
| ! [U_45] :
( ? [U_44] :
( ~ cp(U_44)
& rs(U_45,U_44) )
| ~ rinvR(U_48,U_45) )
| ~ rr(U_52,U_48) ) )
& ! [U_51] :
( ( ~ cp(sK3(U_51))
& ~ cq(sK3(U_51))
& rs(U_51,sK3(U_51))
& ! [U_41,U_40] :
( U_41 = U_40
| ~ rinvR(sK1(U_51),U_40)
| ~ rinvR(sK1(U_51),U_41) )
& ! [U_38] :
( cp(U_38)
| ~ rs(sK2(U_51),U_38) )
& rinvR(sK1(U_51),sK2(U_51))
& rr(U_51,sK1(U_51)) )
| ~ cUnsatisfiable(U_51) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_43,sK3(U_51))],[f_16_5]) ).
fof(f_16_7,plain,
( ! [U_52] :
( cUnsatisfiable(U_52)
| ! [U_49] :
( cp(U_49)
| cq(U_49)
| ~ rs(U_52,U_49) )
| ! [U_48] :
( ? [U_47,U_46] :
( U_47 != U_46
& rinvR(U_48,U_46)
& rinvR(U_48,U_47) )
| ! [U_45] :
( ( ~ cp(sK4(U_52,U_48,U_45))
& rs(U_45,sK4(U_52,U_48,U_45)) )
| ~ rinvR(U_48,U_45) )
| ~ rr(U_52,U_48) ) )
& ! [U_51] :
( ( ~ cp(sK3(U_51))
& ~ cq(sK3(U_51))
& rs(U_51,sK3(U_51))
& ! [U_41,U_40] :
( U_41 = U_40
| ~ rinvR(sK1(U_51),U_40)
| ~ rinvR(sK1(U_51),U_41) )
& ! [U_38] :
( cp(U_38)
| ~ rs(sK2(U_51),U_38) )
& rinvR(sK1(U_51),sK2(U_51))
& rr(U_51,sK1(U_51)) )
| ~ cUnsatisfiable(U_51) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_44,sK4(U_52,U_48,U_45))],[f_16_6]) ).
fof(f_16_8,plain,
( ! [U_52] :
( cUnsatisfiable(U_52)
| ! [U_49] :
( cp(U_49)
| cq(U_49)
| ~ rs(U_52,U_49) )
| ! [U_48] :
( ? [U_46] :
( sK5(U_52,U_48) != U_46
& rinvR(U_48,U_46)
& rinvR(U_48,sK5(U_52,U_48)) )
| ! [U_45] :
( ( ~ cp(sK4(U_52,U_48,U_45))
& rs(U_45,sK4(U_52,U_48,U_45)) )
| ~ rinvR(U_48,U_45) )
| ~ rr(U_52,U_48) ) )
& ! [U_51] :
( ( ~ cp(sK3(U_51))
& ~ cq(sK3(U_51))
& rs(U_51,sK3(U_51))
& ! [U_41,U_40] :
( U_41 = U_40
| ~ rinvR(sK1(U_51),U_40)
| ~ rinvR(sK1(U_51),U_41) )
& ! [U_38] :
( cp(U_38)
| ~ rs(sK2(U_51),U_38) )
& rinvR(sK1(U_51),sK2(U_51))
& rr(U_51,sK1(U_51)) )
| ~ cUnsatisfiable(U_51) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_47,sK5(U_52,U_48))],[f_16_7]) ).
fof(f_16_9,plain,
( ! [U_52] :
( cUnsatisfiable(U_52)
| ! [U_49] :
( cp(U_49)
| cq(U_49)
| ~ rs(U_52,U_49) )
| ! [U_48] :
( ( sK5(U_52,U_48) != sK6(U_52,U_48)
& rinvR(U_48,sK6(U_52,U_48))
& rinvR(U_48,sK5(U_52,U_48)) )
| ! [U_45] :
( ( ~ cp(sK4(U_52,U_48,U_45))
& rs(U_45,sK4(U_52,U_48,U_45)) )
| ~ rinvR(U_48,U_45) )
| ~ rr(U_52,U_48) ) )
& ! [U_51] :
( ( ~ cp(sK3(U_51))
& ~ cq(sK3(U_51))
& rs(U_51,sK3(U_51))
& ! [U_41,U_40] :
( U_41 = U_40
| ~ rinvR(sK1(U_51),U_40)
| ~ rinvR(sK1(U_51),U_41) )
& ! [U_38] :
( cp(U_38)
| ~ rs(sK2(U_51),U_38) )
& rinvR(sK1(U_51),sK2(U_51))
& rr(U_51,sK1(U_51)) )
| ~ cUnsatisfiable(U_51) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_46,sK6(U_52,U_48))],[f_16_8]) ).
fof(f_16_10,plain,
( ! [U_52,U_48] :
( sK5(U_52,U_48) != sK6(U_52,U_48)
| ~ sP2(U_52,U_48) )
& ! [U_52,U_48] :
( rinvR(U_48,sK6(U_52,U_48))
| ~ sP2(U_52,U_48) )
& ! [U_52,U_48] :
( rinvR(U_48,sK5(U_52,U_48))
| ~ sP2(U_52,U_48) )
& ! [U_52,U_45,U_48] :
( ~ cp(sK4(U_52,U_48,U_45))
| ~ sP1(U_52,U_45,U_48) )
& ! [U_52,U_45,U_48] :
( rs(U_45,sK4(U_52,U_48,U_45))
| ~ sP1(U_52,U_45,U_48) )
& ! [U_40,U_51,U_41,U_38] :
( ~ cp(sK3(U_51))
| ~ sP0(U_40,U_51,U_41,U_38) )
& ! [U_40,U_51,U_41,U_38] :
( ~ cq(sK3(U_51))
| ~ sP0(U_40,U_51,U_41,U_38) )
& ! [U_40,U_51,U_41,U_38] :
( rs(U_51,sK3(U_51))
| ~ sP0(U_40,U_51,U_41,U_38) )
& ! [U_40,U_51,U_41,U_38] :
( U_41 = U_40
| ~ rinvR(sK1(U_51),U_40)
| ~ rinvR(sK1(U_51),U_41)
| ~ sP0(U_40,U_51,U_41,U_38) )
& ! [U_40,U_51,U_41,U_38] :
( cp(U_38)
| ~ rs(sK2(U_51),U_38)
| ~ sP0(U_40,U_51,U_41,U_38) )
& ! [U_40,U_51,U_41,U_38] :
( rinvR(sK1(U_51),sK2(U_51))
| ~ sP0(U_40,U_51,U_41,U_38) )
& ! [U_40,U_51,U_41,U_38] :
( rr(U_51,sK1(U_51))
| ~ sP0(U_40,U_51,U_41,U_38) )
& ! [U_52,U_45,U_48,U_49] :
( cUnsatisfiable(U_52)
| cp(U_49)
| cq(U_49)
| ~ rs(U_52,U_49)
| sP2(U_52,U_48)
| sP1(U_52,U_45,U_48)
| ~ rinvR(U_48,U_45)
| ~ rr(U_52,U_48) )
& ! [U_40,U_51,U_41,U_38] :
( sP0(U_40,U_51,U_41,U_38)
| ~ cUnsatisfiable(U_51) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2])],[f_16_9]) ).
cnf(f_16_11,plain,
( sP0(U_40,U_51,U_41,U_38)
| ~ cUnsatisfiable(U_51) ),
inference(clausify,[status(thm)],[f_16_10]) ).
cnf(f_16_12,plain,
( cUnsatisfiable(U_52)
| cp(U_49)
| cq(U_49)
| ~ rs(U_52,U_49)
| sP2(U_52,U_48)
| sP1(U_52,U_45,U_48)
| ~ rinvR(U_48,U_45)
| ~ rr(U_52,U_48) ),
inference(clausify,[status(thm)],[f_16_10]) ).
cnf(f_16_13,plain,
( rr(U_51,sK1(U_51))
| ~ sP0(U_40,U_51,U_41,U_38) ),
inference(clausify,[status(thm)],[f_16_10]) ).
cnf(f_16_14,plain,
( rinvR(sK1(U_51),sK2(U_51))
| ~ sP0(U_40,U_51,U_41,U_38) ),
inference(clausify,[status(thm)],[f_16_10]) ).
cnf(f_16_15,plain,
( cp(U_38)
| ~ rs(sK2(U_51),U_38)
| ~ sP0(U_40,U_51,U_41,U_38) ),
inference(clausify,[status(thm)],[f_16_10]) ).
cnf(f_16_16,plain,
( U_41 = U_40
| ~ rinvR(sK1(U_51),U_40)
| ~ rinvR(sK1(U_51),U_41)
| ~ sP0(U_40,U_51,U_41,U_38) ),
inference(clausify,[status(thm)],[f_16_10]) ).
cnf(f_16_17,plain,
( rs(U_51,sK3(U_51))
| ~ sP0(U_40,U_51,U_41,U_38) ),
inference(clausify,[status(thm)],[f_16_10]) ).
cnf(f_16_18,plain,
( ~ cq(sK3(U_51))
| ~ sP0(U_40,U_51,U_41,U_38) ),
inference(clausify,[status(thm)],[f_16_10]) ).
cnf(f_16_19,plain,
( ~ cp(sK3(U_51))
| ~ sP0(U_40,U_51,U_41,U_38) ),
inference(clausify,[status(thm)],[f_16_10]) ).
cnf(f_16_20,plain,
( rs(U_45,sK4(U_52,U_48,U_45))
| ~ sP1(U_52,U_45,U_48) ),
inference(clausify,[status(thm)],[f_16_10]) ).
cnf(f_16_21,plain,
( ~ cp(sK4(U_52,U_48,U_45))
| ~ sP1(U_52,U_45,U_48) ),
inference(clausify,[status(thm)],[f_16_10]) ).
cnf(f_16_22,plain,
( rinvR(U_48,sK5(U_52,U_48))
| ~ sP2(U_52,U_48) ),
inference(clausify,[status(thm)],[f_16_10]) ).
cnf(f_16_23,plain,
( rinvR(U_48,sK6(U_52,U_48))
| ~ sP2(U_52,U_48) ),
inference(clausify,[status(thm)],[f_16_10]) ).
cnf(f_16_24,plain,
( sK5(U_52,U_48) != sK6(U_52,U_48)
| ~ sP2(U_52,U_48) ),
inference(clausify,[status(thm)],[f_16_10]) ).
fof(f_17_1,plain,
! [X,Y] :
( ( rinvR(X,Y)
| ~ rr(Y,X) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_17_2,plain,
! [U_54,U_53] :
( ( rinvR(U_54,U_53)
| ~ rr(U_53,U_54) )
& ( rr(U_53,U_54)
| ~ rinvR(U_54,U_53) ) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( ! [U_58,U_56] :
( rinvR(U_58,U_56)
| ~ rr(U_56,U_58) )
& ! [U_57,U_55] :
( rr(U_55,U_57)
| ~ rinvR(U_57,U_55) ) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
fof(f_17_4,plain,
( ! [U_56,U_58] :
( rinvR(U_58,U_56)
| ~ rr(U_56,U_58) )
& ! [U_57,U_55] :
( rr(U_55,U_57)
| ~ rinvR(U_57,U_55) ) ),
inference(definitional_conversion,[status(esa)],[f_17_3]) ).
cnf(f_17_5,plain,
( rr(U_55,U_57)
| ~ rinvR(U_57,U_55) ),
inference(clausify,[status(thm)],[f_17_4]) ).
cnf(f_17_6,plain,
( rinvR(U_58,U_56)
| ~ rr(U_56,U_58) ),
inference(clausify,[status(thm)],[f_17_4]) ).
fof(f_18_1,plain,
cUnsatisfiable(i2003_11_14_17_19_13721),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_18_2,plain,
cUnsatisfiable(i2003_11_14_17_19_13721),
inference(definitional_conversion,[status(esa)],[f_18_1]) ).
cnf(f_18_3,plain,
cUnsatisfiable(i2003_11_14_17_19_13721),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( sK1(Eq_x_0) = sK1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( sK2(Eq_x_0) = sK2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( sK3(Eq_x_0) = sK3(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( sK4(Eq_x_0,Eq_x_1,Eq_x_2) = sK4(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( sK5(Eq_x_0,Eq_x_1) = sK5(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( sK6(Eq_x_0,Eq_x_1) = sK6(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( cUnsatisfiable(Eq_y_0)
| ~ cUnsatisfiable(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( cp(Eq_y_0)
| ~ cp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( cq(Eq_y_0)
| ~ cq(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( rinvR(Eq_y_0,Eq_y_1)
| ~ rinvR(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( rr(Eq_y_0,Eq_y_1)
| ~ rr(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( rs(Eq_y_0,Eq_y_1)
| ~ rs(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_19,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_20,axiom,
( sP0(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP0(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_21,axiom,
( sP1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_22,axiom,
( sP2(Eq_y_0,Eq_y_1)
| ~ sP2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS078+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_UNS_RFO_SEQ 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
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 12:11:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 1.89/2.18 % SZS status Unsatisfiable for theBenchmark
% 1.89/2.18 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------