%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS114+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n010.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 08:47:18 AM UTC 2026
% Result : Unsatisfiable 228.14s 228.40s
% Output : Proof 228.33s
% 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(ca_Ax3_substitution_1,axiom,
! [A,B] :
( ( ca_Ax3(A)
& A = B )
=> ca_Ax3(B) ),
file('theBenchmark.p',ca_Ax3_substitution_1) ).
fof(ca_Ax4_substitution_1,axiom,
! [A,B] :
( ( ca_Ax4(A)
& A = B )
=> ca_Ax4(B) ),
file('theBenchmark.p',ca_Ax4_substitution_1) ).
fof(ca_Vx5_substitution_1,axiom,
! [A,B] :
( ( ca_Vx5(A)
& A = B )
=> ca_Vx5(B) ),
file('theBenchmark.p',ca_Vx5_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(cpxcomp_substitution_1,axiom,
! [A,B] :
( ( cpxcomp(A)
& A = B )
=> cpxcomp(B) ),
file('theBenchmark.p',cpxcomp_substitution_1) ).
fof(cq_substitution_1,axiom,
! [A,B] :
( ( cq(A)
& A = B )
=> cq(B) ),
file('theBenchmark.p',cq_substitution_1) ).
fof(cqxcomp_substitution_1,axiom,
! [A,B] :
( ( cqxcomp(A)
& A = B )
=> cqxcomp(B) ),
file('theBenchmark.p',cqxcomp_substitution_1) ).
fof(ra_Px1_substitution_1,axiom,
! [A,B,C] :
( ( ra_Px1(A,C)
& A = B )
=> ra_Px1(B,C) ),
file('theBenchmark.p',ra_Px1_substitution_1) ).
fof(ra_Px1_substitution_2,axiom,
! [A,B,C] :
( ( ra_Px1(C,A)
& A = B )
=> ra_Px1(C,B) ),
file('theBenchmark.p',ra_Px1_substitution_2) ).
fof(ra_Px2_substitution_1,axiom,
! [A,B,C] :
( ( ra_Px2(A,C)
& A = B )
=> ra_Px2(B,C) ),
file('theBenchmark.p',ra_Px2_substitution_1) ).
fof(ra_Px2_substitution_2,axiom,
! [A,B,C] :
( ( ra_Px2(C,A)
& A = B )
=> ra_Px2(C,B) ),
file('theBenchmark.p',ra_Px2_substitution_2) ).
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] :
( ca_Ax3(Y)
& rs(X,Y) )
& ? [Y] :
( ca_Ax4(Y)
& rr(X,Y) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cq(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cqxcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( ca_Ax3(X)
<=> ( cpxcomp(X)
& cqxcomp(X) ) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( ca_Ax4(X)
<=> ( ? [Y] :
( ca_Vx5(Y)
& rinvR(X,Y) )
& ! [Y0,Y1] :
( ( rinvR(X,Y1)
& rinvR(X,Y0) )
=> Y0 = Y1 ) ) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( ca_Vx5(X)
<=> ! [Y] :
( rs(X,Y)
=> cp(Y) ) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_21_262),
file('theBenchmark.p',axiom_11) ).
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] :
( ca_Ax3(B)
| ~ ca_Ax3(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ca_Ax3_substitution_1]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( ca_Ax3(U_2)
| ~ ca_Ax3(U_3)
| U_3 != U_2 ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_3,U_2] :
( ca_Ax3(U_2)
| ~ ca_Ax3(U_3)
| U_3 != U_2 ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,plain,
( ca_Ax3(U_2)
| ~ ca_Ax3(U_3)
| U_3 != U_2 ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [A,B] :
( ca_Ax4(B)
| ~ ca_Ax4(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ca_Ax4_substitution_1]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( ca_Ax4(U_4)
| ~ ca_Ax4(U_5)
| U_5 != U_4 ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_5,U_4] :
( ca_Ax4(U_4)
| ~ ca_Ax4(U_5)
| U_5 != U_4 ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( ca_Ax4(U_4)
| ~ ca_Ax4(U_5)
| U_5 != U_4 ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [A,B] :
( ca_Vx5(B)
| ~ ca_Vx5(A)
| A != B ),
inference(fof_nnf,[status(thm)],[ca_Vx5_substitution_1]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( ca_Vx5(U_6)
| ~ ca_Vx5(U_7)
| U_7 != U_6 ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_7,U_6] :
( ca_Vx5(U_6)
| ~ ca_Vx5(U_7)
| U_7 != U_6 ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( ca_Vx5(U_6)
| ~ ca_Vx5(U_7)
| U_7 != U_6 ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [A,B] :
( cowlNothing(B)
| ~ cowlNothing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlNothing_substitution_1]) ).
fof(f_5_2,plain,
! [U_9,U_8] :
( cowlNothing(U_8)
| ~ cowlNothing(U_9)
| U_9 != U_8 ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_9,U_8] :
( cowlNothing(U_8)
| ~ cowlNothing(U_9)
| U_9 != U_8 ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( cowlNothing(U_8)
| ~ cowlNothing(U_9)
| U_9 != U_8 ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [A,B] :
( cowlThing(B)
| ~ cowlThing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlThing_substitution_1]) ).
fof(f_6_2,plain,
! [U_11,U_10] :
( cowlThing(U_10)
| ~ cowlThing(U_11)
| U_11 != U_10 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_10,U_11] :
( cowlThing(U_10)
| ~ cowlThing(U_11)
| U_11 != U_10 ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( cowlThing(U_10)
| ~ cowlThing(U_11)
| U_11 != U_10 ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [A,B] :
( cp(B)
| ~ cp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp_substitution_1]) ).
fof(f_7_2,plain,
! [U_13,U_12] :
( cp(U_12)
| ~ cp(U_13)
| U_13 != U_12 ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_12,U_13] :
( cp(U_12)
| ~ cp(U_13)
| U_13 != U_12 ),
inference(definitional_conversion,[status(esa)],[f_7_2]) ).
cnf(f_7_4,plain,
( cp(U_12)
| ~ cp(U_13)
| U_13 != U_12 ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [A,B] :
( cpxcomp(B)
| ~ cpxcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cpxcomp_substitution_1]) ).
fof(f_8_2,plain,
! [U_15,U_14] :
( cpxcomp(U_14)
| ~ cpxcomp(U_15)
| U_15 != U_14 ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_14,U_15] :
( cpxcomp(U_14)
| ~ cpxcomp(U_15)
| U_15 != U_14 ),
inference(definitional_conversion,[status(esa)],[f_8_2]) ).
cnf(f_8_4,plain,
( cpxcomp(U_14)
| ~ cpxcomp(U_15)
| U_15 != U_14 ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [A,B] :
( cq(B)
| ~ cq(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cq_substitution_1]) ).
fof(f_9_2,plain,
! [U_17,U_16] :
( cq(U_16)
| ~ cq(U_17)
| U_17 != U_16 ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_16,U_17] :
( cq(U_16)
| ~ cq(U_17)
| U_17 != U_16 ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( cq(U_16)
| ~ cq(U_17)
| U_17 != U_16 ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [A,B] :
( cqxcomp(B)
| ~ cqxcomp(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cqxcomp_substitution_1]) ).
fof(f_10_2,plain,
! [U_19,U_18] :
( cqxcomp(U_18)
| ~ cqxcomp(U_19)
| U_19 != U_18 ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_18,U_19] :
( cqxcomp(U_18)
| ~ cqxcomp(U_19)
| U_19 != U_18 ),
inference(definitional_conversion,[status(esa)],[f_10_2]) ).
cnf(f_10_4,plain,
( cqxcomp(U_18)
| ~ cqxcomp(U_19)
| U_19 != U_18 ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [A,B,C] :
( ra_Px1(B,C)
| ~ ra_Px1(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px1_substitution_1]) ).
fof(f_11_2,plain,
! [U_22,U_21,U_20] :
( ra_Px1(U_21,U_20)
| ~ ra_Px1(U_22,U_20)
| U_22 != U_21 ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_20,U_21,U_22] :
( ra_Px1(U_21,U_20)
| ~ ra_Px1(U_22,U_20)
| U_22 != U_21 ),
inference(definitional_conversion,[status(esa)],[f_11_2]) ).
cnf(f_11_4,plain,
( ra_Px1(U_21,U_20)
| ~ ra_Px1(U_22,U_20)
| U_22 != U_21 ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [A,B,C] :
( ra_Px1(C,B)
| ~ ra_Px1(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px1_substitution_2]) ).
fof(f_12_2,plain,
! [U_25,U_24,U_23] :
( ra_Px1(U_23,U_24)
| ~ ra_Px1(U_23,U_25)
| U_25 != U_24 ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_25,U_24,U_23] :
( ra_Px1(U_23,U_24)
| ~ ra_Px1(U_23,U_25)
| U_25 != U_24 ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( ra_Px1(U_23,U_24)
| ~ ra_Px1(U_23,U_25)
| U_25 != U_24 ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
! [A,B,C] :
( ra_Px2(B,C)
| ~ ra_Px2(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px2_substitution_1]) ).
fof(f_13_2,plain,
! [U_28,U_27,U_26] :
( ra_Px2(U_27,U_26)
| ~ ra_Px2(U_28,U_26)
| U_28 != U_27 ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_26,U_27,U_28] :
( ra_Px2(U_27,U_26)
| ~ ra_Px2(U_28,U_26)
| U_28 != U_27 ),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
( ra_Px2(U_27,U_26)
| ~ ra_Px2(U_28,U_26)
| U_28 != U_27 ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [A,B,C] :
( ra_Px2(C,B)
| ~ ra_Px2(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[ra_Px2_substitution_2]) ).
fof(f_14_2,plain,
! [U_31,U_30,U_29] :
( ra_Px2(U_29,U_30)
| ~ ra_Px2(U_29,U_31)
| U_31 != U_30 ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_30,U_29,U_31] :
( ra_Px2(U_29,U_30)
| ~ ra_Px2(U_29,U_31)
| U_31 != U_30 ),
inference(definitional_conversion,[status(esa)],[f_14_2]) ).
cnf(f_14_4,plain,
( ra_Px2(U_29,U_30)
| ~ ra_Px2(U_29,U_31)
| U_31 != U_30 ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [A,B,C] :
( rinvR(B,C)
| ~ rinvR(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvR_substitution_1]) ).
fof(f_15_2,plain,
! [U_34,U_33,U_32] :
( rinvR(U_33,U_32)
| ~ rinvR(U_34,U_32)
| U_34 != U_33 ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
! [U_34,U_32,U_33] :
( rinvR(U_33,U_32)
| ~ rinvR(U_34,U_32)
| U_34 != U_33 ),
inference(definitional_conversion,[status(esa)],[f_15_2]) ).
cnf(f_15_4,plain,
( rinvR(U_33,U_32)
| ~ rinvR(U_34,U_32)
| U_34 != U_33 ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
! [A,B,C] :
( rinvR(C,B)
| ~ rinvR(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rinvR_substitution_2]) ).
fof(f_16_2,plain,
! [U_37,U_36,U_35] :
( rinvR(U_35,U_36)
| ~ rinvR(U_35,U_37)
| U_37 != U_36 ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_37,U_35,U_36] :
( rinvR(U_35,U_36)
| ~ rinvR(U_35,U_37)
| U_37 != U_36 ),
inference(definitional_conversion,[status(esa)],[f_16_2]) ).
cnf(f_16_4,plain,
( rinvR(U_35,U_36)
| ~ rinvR(U_35,U_37)
| U_37 != U_36 ),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
! [A,B,C] :
( rr(B,C)
| ~ rr(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rr_substitution_1]) ).
fof(f_17_2,plain,
! [U_40,U_39,U_38] :
( rr(U_39,U_38)
| ~ rr(U_40,U_38)
| U_40 != U_39 ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_38,U_39,U_40] :
( rr(U_39,U_38)
| ~ rr(U_40,U_38)
| U_40 != U_39 ),
inference(definitional_conversion,[status(esa)],[f_17_2]) ).
cnf(f_17_4,plain,
( rr(U_39,U_38)
| ~ rr(U_40,U_38)
| U_40 != U_39 ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
! [A,B,C] :
( rr(C,B)
| ~ rr(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rr_substitution_2]) ).
fof(f_18_2,plain,
! [U_43,U_42,U_41] :
( rr(U_41,U_42)
| ~ rr(U_41,U_43)
| U_43 != U_42 ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_41,U_42,U_43] :
( rr(U_41,U_42)
| ~ rr(U_41,U_43)
| U_43 != U_42 ),
inference(definitional_conversion,[status(esa)],[f_18_2]) ).
cnf(f_18_4,plain,
( rr(U_41,U_42)
| ~ rr(U_41,U_43)
| U_43 != U_42 ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
! [A,B,C] :
( rs(B,C)
| ~ rs(A,C)
| A != B ),
inference(fof_nnf,[status(thm)],[rs_substitution_1]) ).
fof(f_19_2,plain,
! [U_46,U_45,U_44] :
( rs(U_45,U_44)
| ~ rs(U_46,U_44)
| U_46 != U_45 ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_44,U_45,U_46] :
( rs(U_45,U_44)
| ~ rs(U_46,U_44)
| U_46 != U_45 ),
inference(definitional_conversion,[status(esa)],[f_19_2]) ).
cnf(f_19_4,plain,
( rs(U_45,U_44)
| ~ rs(U_46,U_44)
| U_46 != U_45 ),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_20_1,plain,
! [A,B,C] :
( rs(C,B)
| ~ rs(C,A)
| A != B ),
inference(fof_nnf,[status(thm)],[rs_substitution_2]) ).
fof(f_20_2,plain,
! [U_49,U_48,U_47] :
( rs(U_47,U_48)
| ~ rs(U_47,U_49)
| U_49 != U_48 ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
! [U_47,U_48,U_49] :
( rs(U_47,U_48)
| ~ rs(U_47,U_49)
| U_49 != U_48 ),
inference(definitional_conversion,[status(esa)],[f_20_2]) ).
cnf(f_20_4,plain,
( rs(U_47,U_48)
| ~ rs(U_47,U_49)
| U_49 != U_48 ),
inference(clausify,[status(thm)],[f_20_3]) ).
fof(f_21_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_21_2,plain,
! [U_51,U_50] :
( xsd_integer(U_50)
| ~ xsd_integer(U_51)
| U_51 != U_50 ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_51,U_50] :
( xsd_integer(U_50)
| ~ xsd_integer(U_51)
| U_51 != U_50 ),
inference(definitional_conversion,[status(esa)],[f_21_2]) ).
cnf(f_21_4,plain,
( xsd_integer(U_50)
| ~ xsd_integer(U_51)
| U_51 != U_50 ),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_22_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_22_2,plain,
! [U_53,U_52] :
( xsd_string(U_52)
| ~ xsd_string(U_53)
| U_53 != U_52 ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
! [U_53,U_52] :
( xsd_string(U_52)
| ~ xsd_string(U_53)
| U_53 != U_52 ),
inference(definitional_conversion,[status(esa)],[f_22_2]) ).
cnf(f_22_4,plain,
( xsd_string(U_52)
| ~ xsd_string(U_53)
| U_53 != U_52 ),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_23_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_23_2,plain,
! [U_54] :
( ~ cowlNothing(U_54)
& cowlThing(U_54) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
( ! [U_56] : ~ cowlNothing(U_56)
& ! [U_55] : cowlThing(U_55) ),
inference(miniscope,[status(thm)],[f_23_2]) ).
fof(f_23_4,plain,
( ! [U_56] : ~ cowlNothing(U_56)
& ! [U_55] : cowlThing(U_55) ),
inference(definitional_conversion,[status(esa)],[f_23_3]) ).
cnf(f_23_5,plain,
cowlThing(U_55),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_6,plain,
~ cowlNothing(U_56),
inference(clausify,[status(thm)],[f_23_4]) ).
fof(f_24_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_24_2,plain,
! [U_57] :
( ( xsd_string(U_57)
| xsd_integer(U_57) )
& ( ~ xsd_integer(U_57)
| ~ xsd_string(U_57) ) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
( ! [U_59] :
( xsd_string(U_59)
| xsd_integer(U_59) )
& ! [U_58] :
( ~ xsd_integer(U_58)
| ~ xsd_string(U_58) ) ),
inference(miniscope,[status(thm)],[f_24_2]) ).
fof(f_24_4,plain,
( ! [U_59] :
( xsd_string(U_59)
| xsd_integer(U_59) )
& ! [U_58] :
( ~ xsd_integer(U_58)
| ~ xsd_string(U_58) ) ),
inference(definitional_conversion,[status(esa)],[f_24_3]) ).
cnf(f_24_5,plain,
( ~ xsd_integer(U_58)
| ~ xsd_string(U_58) ),
inference(clausify,[status(thm)],[f_24_4]) ).
cnf(f_24_6,plain,
( xsd_string(U_59)
| xsd_integer(U_59) ),
inference(clausify,[status(thm)],[f_24_4]) ).
fof(f_25_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ! [Y] :
( ~ ca_Ax3(Y)
| ~ rs(X,Y) )
| ! [Y] :
( ~ ca_Ax4(Y)
| ~ rr(X,Y) ) )
& ( ( ? [Y] :
( ca_Ax3(Y)
& rs(X,Y) )
& ? [Y] :
( ca_Ax4(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_25_2,plain,
! [U_64] :
( ( cUnsatisfiable(U_64)
| ! [U_63] :
( ~ ca_Ax3(U_63)
| ~ rs(U_64,U_63) )
| ! [U_62] :
( ~ ca_Ax4(U_62)
| ~ rr(U_64,U_62) ) )
& ( ( ? [U_61] :
( ca_Ax3(U_61)
& rs(U_64,U_61) )
& ? [U_60] :
( ca_Ax4(U_60)
& rr(U_64,U_60) ) )
| ~ cUnsatisfiable(U_64) ) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
( ! [U_66] :
( cUnsatisfiable(U_66)
| ! [U_63] :
( ~ ca_Ax3(U_63)
| ~ rs(U_66,U_63) )
| ! [U_62] :
( ~ ca_Ax4(U_62)
| ~ rr(U_66,U_62) ) )
& ! [U_65] :
( ( ? [U_61] :
( ca_Ax3(U_61)
& rs(U_65,U_61) )
& ? [U_60] :
( ca_Ax4(U_60)
& rr(U_65,U_60) ) )
| ~ cUnsatisfiable(U_65) ) ),
inference(miniscope,[status(thm)],[f_25_2]) ).
fof(f_25_4,plain,
( ! [U_66] :
( cUnsatisfiable(U_66)
| ! [U_63] :
( ~ ca_Ax3(U_63)
| ~ rs(U_66,U_63) )
| ! [U_62] :
( ~ ca_Ax4(U_62)
| ~ rr(U_66,U_62) ) )
& ! [U_65] :
( ( ? [U_61] :
( ca_Ax3(U_61)
& rs(U_65,U_61) )
& ca_Ax4(sK1(U_65))
& rr(U_65,sK1(U_65)) )
| ~ cUnsatisfiable(U_65) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_60,sK1(U_65))],[f_25_3]) ).
fof(f_25_5,plain,
( ! [U_66] :
( cUnsatisfiable(U_66)
| ! [U_63] :
( ~ ca_Ax3(U_63)
| ~ rs(U_66,U_63) )
| ! [U_62] :
( ~ ca_Ax4(U_62)
| ~ rr(U_66,U_62) ) )
& ! [U_65] :
( ( ca_Ax3(sK2(U_65))
& rs(U_65,sK2(U_65))
& ca_Ax4(sK1(U_65))
& rr(U_65,sK1(U_65)) )
| ~ cUnsatisfiable(U_65) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_61,sK2(U_65))],[f_25_4]) ).
fof(f_25_6,plain,
( ! [U_65] :
( ca_Ax3(sK2(U_65))
| ~ sP0(U_65) )
& ! [U_65] :
( rs(U_65,sK2(U_65))
| ~ sP0(U_65) )
& ! [U_65] :
( ca_Ax4(sK1(U_65))
| ~ sP0(U_65) )
& ! [U_65] :
( rr(U_65,sK1(U_65))
| ~ sP0(U_65) )
& ! [U_62,U_63,U_66] :
( cUnsatisfiable(U_66)
| ~ ca_Ax3(U_63)
| ~ rs(U_66,U_63)
| ~ ca_Ax4(U_62)
| ~ rr(U_66,U_62) )
& ! [U_65] :
( sP0(U_65)
| ~ cUnsatisfiable(U_65) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_25_5]) ).
cnf(f_25_7,plain,
( sP0(U_65)
| ~ cUnsatisfiable(U_65) ),
inference(clausify,[status(thm)],[f_25_6]) ).
cnf(f_25_8,plain,
( cUnsatisfiable(U_66)
| ~ ca_Ax3(U_63)
| ~ rs(U_66,U_63)
| ~ ca_Ax4(U_62)
| ~ rr(U_66,U_62) ),
inference(clausify,[status(thm)],[f_25_6]) ).
cnf(f_25_9,plain,
( rr(U_65,sK1(U_65))
| ~ sP0(U_65) ),
inference(clausify,[status(thm)],[f_25_6]) ).
cnf(f_25_10,plain,
( ca_Ax4(sK1(U_65))
| ~ sP0(U_65) ),
inference(clausify,[status(thm)],[f_25_6]) ).
cnf(f_25_11,plain,
( rs(U_65,sK2(U_65))
| ~ sP0(U_65) ),
inference(clausify,[status(thm)],[f_25_6]) ).
cnf(f_25_12,plain,
( ca_Ax3(sK2(U_65))
| ~ sP0(U_65) ),
inference(clausify,[status(thm)],[f_25_6]) ).
fof(f_26_1,plain,
! [X] :
( ( cp(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_26_2,plain,
! [U_69] :
( ( cp(U_69)
| ? [U_68] : ra_Px1(U_69,U_68) )
& ( ! [U_67] : ~ ra_Px1(U_69,U_67)
| ~ cp(U_69) ) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
( ! [U_71] :
( cp(U_71)
| ? [U_68] : ra_Px1(U_71,U_68) )
& ! [U_70] :
( ! [U_67] : ~ ra_Px1(U_70,U_67)
| ~ cp(U_70) ) ),
inference(miniscope,[status(thm)],[f_26_2]) ).
fof(f_26_4,plain,
( ! [U_71] :
( cp(U_71)
| ra_Px1(U_71,sK3(U_71)) )
& ! [U_70] :
( ! [U_67] : ~ ra_Px1(U_70,U_67)
| ~ cp(U_70) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_68,sK3(U_71))],[f_26_3]) ).
fof(f_26_5,plain,
( ! [U_71] :
( cp(U_71)
| ra_Px1(U_71,sK3(U_71)) )
& ! [U_67,U_70] :
( ~ ra_Px1(U_70,U_67)
| ~ cp(U_70) ) ),
inference(definitional_conversion,[status(esa)],[f_26_4]) ).
cnf(f_26_6,plain,
( ~ ra_Px1(U_70,U_67)
| ~ cp(U_70) ),
inference(clausify,[status(thm)],[f_26_5]) ).
cnf(f_26_7,plain,
( cp(U_71)
| ra_Px1(U_71,sK3(U_71)) ),
inference(clausify,[status(thm)],[f_26_5]) ).
fof(f_27_1,plain,
! [X] :
( ( cpxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cpxcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_27_2,plain,
! [U_74] :
( ( cpxcomp(U_74)
| ! [U_73] : ~ ra_Px1(U_74,U_73) )
& ( ? [U_72] : ra_Px1(U_74,U_72)
| ~ cpxcomp(U_74) ) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
( ! [U_76] :
( cpxcomp(U_76)
| ! [U_73] : ~ ra_Px1(U_76,U_73) )
& ! [U_75] :
( ? [U_72] : ra_Px1(U_75,U_72)
| ~ cpxcomp(U_75) ) ),
inference(miniscope,[status(thm)],[f_27_2]) ).
fof(f_27_4,plain,
( ! [U_76] :
( cpxcomp(U_76)
| ! [U_73] : ~ ra_Px1(U_76,U_73) )
& ! [U_75] :
( ra_Px1(U_75,sK4(U_75))
| ~ cpxcomp(U_75) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_72,sK4(U_75))],[f_27_3]) ).
fof(f_27_5,plain,
( ! [U_73,U_76] :
( cpxcomp(U_76)
| ~ ra_Px1(U_76,U_73) )
& ! [U_75] :
( ra_Px1(U_75,sK4(U_75))
| ~ cpxcomp(U_75) ) ),
inference(definitional_conversion,[status(esa)],[f_27_4]) ).
cnf(f_27_6,plain,
( ra_Px1(U_75,sK4(U_75))
| ~ cpxcomp(U_75) ),
inference(clausify,[status(thm)],[f_27_5]) ).
cnf(f_27_7,plain,
( cpxcomp(U_76)
| ~ ra_Px1(U_76,U_73) ),
inference(clausify,[status(thm)],[f_27_5]) ).
fof(f_28_1,plain,
! [X] :
( ( cq(X)
| ! [Y0] : ~ ra_Px2(X,Y0) )
& ( ? [Y0] : ra_Px2(X,Y0)
| ~ cq(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_28_2,plain,
! [U_79] :
( ( cq(U_79)
| ! [U_78] : ~ ra_Px2(U_79,U_78) )
& ( ? [U_77] : ra_Px2(U_79,U_77)
| ~ cq(U_79) ) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
( ! [U_81] :
( cq(U_81)
| ! [U_78] : ~ ra_Px2(U_81,U_78) )
& ! [U_80] :
( ? [U_77] : ra_Px2(U_80,U_77)
| ~ cq(U_80) ) ),
inference(miniscope,[status(thm)],[f_28_2]) ).
fof(f_28_4,plain,
( ! [U_81] :
( cq(U_81)
| ! [U_78] : ~ ra_Px2(U_81,U_78) )
& ! [U_80] :
( ra_Px2(U_80,sK5(U_80))
| ~ cq(U_80) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_77,sK5(U_80))],[f_28_3]) ).
fof(f_28_5,plain,
( ! [U_78,U_81] :
( cq(U_81)
| ~ ra_Px2(U_81,U_78) )
& ! [U_80] :
( ra_Px2(U_80,sK5(U_80))
| ~ cq(U_80) ) ),
inference(definitional_conversion,[status(esa)],[f_28_4]) ).
cnf(f_28_6,plain,
( ra_Px2(U_80,sK5(U_80))
| ~ cq(U_80) ),
inference(clausify,[status(thm)],[f_28_5]) ).
cnf(f_28_7,plain,
( cq(U_81)
| ~ ra_Px2(U_81,U_78) ),
inference(clausify,[status(thm)],[f_28_5]) ).
fof(f_29_1,plain,
! [X] :
( ( cqxcomp(X)
| ? [Y] : ra_Px2(X,Y) )
& ( ! [Y] : ~ ra_Px2(X,Y)
| ~ cqxcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_29_2,plain,
! [U_84] :
( ( cqxcomp(U_84)
| ? [U_83] : ra_Px2(U_84,U_83) )
& ( ! [U_82] : ~ ra_Px2(U_84,U_82)
| ~ cqxcomp(U_84) ) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
( ! [U_86] :
( cqxcomp(U_86)
| ? [U_83] : ra_Px2(U_86,U_83) )
& ! [U_85] :
( ! [U_82] : ~ ra_Px2(U_85,U_82)
| ~ cqxcomp(U_85) ) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
fof(f_29_4,plain,
( ! [U_86] :
( cqxcomp(U_86)
| ra_Px2(U_86,sK6(U_86)) )
& ! [U_85] :
( ! [U_82] : ~ ra_Px2(U_85,U_82)
| ~ cqxcomp(U_85) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_83,sK6(U_86))],[f_29_3]) ).
fof(f_29_5,plain,
( ! [U_86] :
( cqxcomp(U_86)
| ra_Px2(U_86,sK6(U_86)) )
& ! [U_82,U_85] :
( ~ ra_Px2(U_85,U_82)
| ~ cqxcomp(U_85) ) ),
inference(definitional_conversion,[status(esa)],[f_29_4]) ).
cnf(f_29_6,plain,
( ~ ra_Px2(U_85,U_82)
| ~ cqxcomp(U_85) ),
inference(clausify,[status(thm)],[f_29_5]) ).
cnf(f_29_7,plain,
( cqxcomp(U_86)
| ra_Px2(U_86,sK6(U_86)) ),
inference(clausify,[status(thm)],[f_29_5]) ).
fof(f_30_1,plain,
! [X] :
( ( ca_Ax3(X)
| ~ cpxcomp(X)
| ~ cqxcomp(X) )
& ( ( cpxcomp(X)
& cqxcomp(X) )
| ~ ca_Ax3(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_30_2,plain,
! [U_87] :
( ( ca_Ax3(U_87)
| ~ cpxcomp(U_87)
| ~ cqxcomp(U_87) )
& ( ( cpxcomp(U_87)
& cqxcomp(U_87) )
| ~ ca_Ax3(U_87) ) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
( ! [U_89] :
( ca_Ax3(U_89)
| ~ cpxcomp(U_89)
| ~ cqxcomp(U_89) )
& ! [U_88] :
( ( cpxcomp(U_88)
& cqxcomp(U_88) )
| ~ ca_Ax3(U_88) ) ),
inference(miniscope,[status(thm)],[f_30_2]) ).
fof(f_30_4,plain,
( ! [U_88] :
( cpxcomp(U_88)
| ~ sP1(U_88) )
& ! [U_88] :
( cqxcomp(U_88)
| ~ sP1(U_88) )
& ! [U_89] :
( ca_Ax3(U_89)
| ~ cpxcomp(U_89)
| ~ cqxcomp(U_89) )
& ! [U_88] :
( sP1(U_88)
| ~ ca_Ax3(U_88) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_30_3]) ).
cnf(f_30_5,plain,
( sP1(U_88)
| ~ ca_Ax3(U_88) ),
inference(clausify,[status(thm)],[f_30_4]) ).
cnf(f_30_6,plain,
( ca_Ax3(U_89)
| ~ cpxcomp(U_89)
| ~ cqxcomp(U_89) ),
inference(clausify,[status(thm)],[f_30_4]) ).
cnf(f_30_7,plain,
( cqxcomp(U_88)
| ~ sP1(U_88) ),
inference(clausify,[status(thm)],[f_30_4]) ).
cnf(f_30_8,plain,
( cpxcomp(U_88)
| ~ sP1(U_88) ),
inference(clausify,[status(thm)],[f_30_4]) ).
fof(f_31_1,plain,
! [X] :
( ( ca_Ax4(X)
| ! [Y] :
( ~ ca_Vx5(Y)
| ~ rinvR(X,Y) )
| ? [Y0,Y1] :
( Y0 != Y1
& rinvR(X,Y1)
& rinvR(X,Y0) ) )
& ( ( ? [Y] :
( ca_Vx5(Y)
& rinvR(X,Y) )
& ! [Y0,Y1] :
( Y0 = Y1
| ~ rinvR(X,Y1)
| ~ rinvR(X,Y0) ) )
| ~ ca_Ax4(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_31_2,plain,
! [U_96] :
( ( ca_Ax4(U_96)
| ! [U_95] :
( ~ ca_Vx5(U_95)
| ~ rinvR(U_96,U_95) )
| ? [U_94,U_93] :
( U_94 != U_93
& rinvR(U_96,U_93)
& rinvR(U_96,U_94) ) )
& ( ( ? [U_92] :
( ca_Vx5(U_92)
& rinvR(U_96,U_92) )
& ! [U_91,U_90] :
( U_91 = U_90
| ~ rinvR(U_96,U_90)
| ~ rinvR(U_96,U_91) ) )
| ~ ca_Ax4(U_96) ) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
( ! [U_98] :
( ca_Ax4(U_98)
| ! [U_95] :
( ~ ca_Vx5(U_95)
| ~ rinvR(U_98,U_95) )
| ? [U_94,U_93] :
( U_94 != U_93
& rinvR(U_98,U_93)
& rinvR(U_98,U_94) ) )
& ! [U_97] :
( ( ? [U_92] :
( ca_Vx5(U_92)
& rinvR(U_97,U_92) )
& ! [U_91,U_90] :
( U_91 = U_90
| ~ rinvR(U_97,U_90)
| ~ rinvR(U_97,U_91) ) )
| ~ ca_Ax4(U_97) ) ),
inference(miniscope,[status(thm)],[f_31_2]) ).
fof(f_31_4,plain,
( ! [U_98] :
( ca_Ax4(U_98)
| ! [U_95] :
( ~ ca_Vx5(U_95)
| ~ rinvR(U_98,U_95) )
| ? [U_94,U_93] :
( U_94 != U_93
& rinvR(U_98,U_93)
& rinvR(U_98,U_94) ) )
& ! [U_97] :
( ( ca_Vx5(sK7(U_97))
& rinvR(U_97,sK7(U_97))
& ! [U_91,U_90] :
( U_91 = U_90
| ~ rinvR(U_97,U_90)
| ~ rinvR(U_97,U_91) ) )
| ~ ca_Ax4(U_97) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_92,sK7(U_97))],[f_31_3]) ).
fof(f_31_5,plain,
( ! [U_98] :
( ca_Ax4(U_98)
| ! [U_95] :
( ~ ca_Vx5(U_95)
| ~ rinvR(U_98,U_95) )
| ? [U_93] :
( sK8(U_98) != U_93
& rinvR(U_98,U_93)
& rinvR(U_98,sK8(U_98)) ) )
& ! [U_97] :
( ( ca_Vx5(sK7(U_97))
& rinvR(U_97,sK7(U_97))
& ! [U_91,U_90] :
( U_91 = U_90
| ~ rinvR(U_97,U_90)
| ~ rinvR(U_97,U_91) ) )
| ~ ca_Ax4(U_97) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_94,sK8(U_98))],[f_31_4]) ).
fof(f_31_6,plain,
( ! [U_98] :
( ca_Ax4(U_98)
| ! [U_95] :
( ~ ca_Vx5(U_95)
| ~ rinvR(U_98,U_95) )
| ( sK8(U_98) != sK9(U_98)
& rinvR(U_98,sK9(U_98))
& rinvR(U_98,sK8(U_98)) ) )
& ! [U_97] :
( ( ca_Vx5(sK7(U_97))
& rinvR(U_97,sK7(U_97))
& ! [U_91,U_90] :
( U_91 = U_90
| ~ rinvR(U_97,U_90)
| ~ rinvR(U_97,U_91) ) )
| ~ ca_Ax4(U_97) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_93,sK9(U_98))],[f_31_5]) ).
fof(f_31_7,plain,
( ! [U_98] :
( sK8(U_98) != sK9(U_98)
| ~ sP3(U_98) )
& ! [U_98] :
( rinvR(U_98,sK9(U_98))
| ~ sP3(U_98) )
& ! [U_98] :
( rinvR(U_98,sK8(U_98))
| ~ sP3(U_98) )
& ! [U_91,U_90,U_97] :
( ca_Vx5(sK7(U_97))
| ~ sP2(U_91,U_90,U_97) )
& ! [U_91,U_90,U_97] :
( rinvR(U_97,sK7(U_97))
| ~ sP2(U_91,U_90,U_97) )
& ! [U_91,U_90,U_97] :
( U_91 = U_90
| ~ rinvR(U_97,U_90)
| ~ rinvR(U_97,U_91)
| ~ sP2(U_91,U_90,U_97) )
& ! [U_95,U_98] :
( ca_Ax4(U_98)
| ~ ca_Vx5(U_95)
| ~ rinvR(U_98,U_95)
| sP3(U_98) )
& ! [U_91,U_90,U_97] :
( sP2(U_91,U_90,U_97)
| ~ ca_Ax4(U_97) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2,sP3])],[f_31_6]) ).
cnf(f_31_8,plain,
( sP2(U_91,U_90,U_97)
| ~ ca_Ax4(U_97) ),
inference(clausify,[status(thm)],[f_31_7]) ).
cnf(f_31_9,plain,
( ca_Ax4(U_98)
| ~ ca_Vx5(U_95)
| ~ rinvR(U_98,U_95)
| sP3(U_98) ),
inference(clausify,[status(thm)],[f_31_7]) ).
cnf(f_31_10,plain,
( U_91 = U_90
| ~ rinvR(U_97,U_90)
| ~ rinvR(U_97,U_91)
| ~ sP2(U_91,U_90,U_97) ),
inference(clausify,[status(thm)],[f_31_7]) ).
cnf(f_31_11,plain,
( rinvR(U_97,sK7(U_97))
| ~ sP2(U_91,U_90,U_97) ),
inference(clausify,[status(thm)],[f_31_7]) ).
cnf(f_31_12,plain,
( ca_Vx5(sK7(U_97))
| ~ sP2(U_91,U_90,U_97) ),
inference(clausify,[status(thm)],[f_31_7]) ).
cnf(f_31_13,plain,
( rinvR(U_98,sK8(U_98))
| ~ sP3(U_98) ),
inference(clausify,[status(thm)],[f_31_7]) ).
cnf(f_31_14,plain,
( rinvR(U_98,sK9(U_98))
| ~ sP3(U_98) ),
inference(clausify,[status(thm)],[f_31_7]) ).
cnf(f_31_15,plain,
( sK8(U_98) != sK9(U_98)
| ~ sP3(U_98) ),
inference(clausify,[status(thm)],[f_31_7]) ).
fof(f_32_1,plain,
! [X] :
( ( ca_Vx5(X)
| ? [Y] :
( ~ cp(Y)
& rs(X,Y) ) )
& ( ! [Y] :
( cp(Y)
| ~ rs(X,Y) )
| ~ ca_Vx5(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_32_2,plain,
! [U_101] :
( ( ca_Vx5(U_101)
| ? [U_100] :
( ~ cp(U_100)
& rs(U_101,U_100) ) )
& ( ! [U_99] :
( cp(U_99)
| ~ rs(U_101,U_99) )
| ~ ca_Vx5(U_101) ) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
( ! [U_103] :
( ca_Vx5(U_103)
| ? [U_100] :
( ~ cp(U_100)
& rs(U_103,U_100) ) )
& ! [U_102] :
( ! [U_99] :
( cp(U_99)
| ~ rs(U_102,U_99) )
| ~ ca_Vx5(U_102) ) ),
inference(miniscope,[status(thm)],[f_32_2]) ).
fof(f_32_4,plain,
( ! [U_103] :
( ca_Vx5(U_103)
| ( ~ cp(sK10(U_103))
& rs(U_103,sK10(U_103)) ) )
& ! [U_102] :
( ! [U_99] :
( cp(U_99)
| ~ rs(U_102,U_99) )
| ~ ca_Vx5(U_102) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_100,sK10(U_103))],[f_32_3]) ).
fof(f_32_5,plain,
( ! [U_103] :
( ~ cp(sK10(U_103))
| ~ sP4(U_103) )
& ! [U_103] :
( rs(U_103,sK10(U_103))
| ~ sP4(U_103) )
& ! [U_103] :
( ca_Vx5(U_103)
| sP4(U_103) )
& ! [U_102,U_99] :
( cp(U_99)
| ~ rs(U_102,U_99)
| ~ ca_Vx5(U_102) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP4])],[f_32_4]) ).
cnf(f_32_6,plain,
( cp(U_99)
| ~ rs(U_102,U_99)
| ~ ca_Vx5(U_102) ),
inference(clausify,[status(thm)],[f_32_5]) ).
cnf(f_32_7,plain,
( ca_Vx5(U_103)
| sP4(U_103) ),
inference(clausify,[status(thm)],[f_32_5]) ).
cnf(f_32_8,plain,
( rs(U_103,sK10(U_103))
| ~ sP4(U_103) ),
inference(clausify,[status(thm)],[f_32_5]) ).
cnf(f_32_9,plain,
( ~ cp(sK10(U_103))
| ~ sP4(U_103) ),
inference(clausify,[status(thm)],[f_32_5]) ).
fof(f_33_1,plain,
! [X,Y] :
( ( rinvR(X,Y)
| ~ rr(Y,X) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_33_2,plain,
! [U_105,U_104] :
( ( rinvR(U_105,U_104)
| ~ rr(U_104,U_105) )
& ( rr(U_104,U_105)
| ~ rinvR(U_105,U_104) ) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
( ! [U_109,U_107] :
( rinvR(U_109,U_107)
| ~ rr(U_107,U_109) )
& ! [U_108,U_106] :
( rr(U_106,U_108)
| ~ rinvR(U_108,U_106) ) ),
inference(miniscope,[status(thm)],[f_33_2]) ).
fof(f_33_4,plain,
( ! [U_107,U_109] :
( rinvR(U_109,U_107)
| ~ rr(U_107,U_109) )
& ! [U_108,U_106] :
( rr(U_106,U_108)
| ~ rinvR(U_108,U_106) ) ),
inference(definitional_conversion,[status(esa)],[f_33_3]) ).
cnf(f_33_5,plain,
( rr(U_106,U_108)
| ~ rinvR(U_108,U_106) ),
inference(clausify,[status(thm)],[f_33_4]) ).
cnf(f_33_6,plain,
( rinvR(U_109,U_107)
| ~ rr(U_107,U_109) ),
inference(clausify,[status(thm)],[f_33_4]) ).
fof(f_34_1,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_34_2,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(definitional_conversion,[status(esa)],[f_34_1]) ).
cnf(f_34_3,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(clausify,[status(thm)],[f_34_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) = sK4(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( sK5(Eq_x_0) = sK5(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( sK6(Eq_x_0) = sK6(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( sK7(Eq_x_0) = sK7(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( sK8(Eq_x_0) = sK8(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( sK9(Eq_x_0) = sK9(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( sK10(Eq_x_0) = sK10(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( cUnsatisfiable(Eq_y_0)
| ~ cUnsatisfiable(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( ca_Ax3(Eq_y_0)
| ~ ca_Ax3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( ca_Ax4(Eq_y_0)
| ~ ca_Ax4(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( ca_Vx5(Eq_y_0)
| ~ ca_Vx5(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_19,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_20,axiom,
( cp(Eq_y_0)
| ~ cp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_21,axiom,
( cpxcomp(Eq_y_0)
| ~ cpxcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_22,axiom,
( cq(Eq_y_0)
| ~ cq(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_23,axiom,
( cqxcomp(Eq_y_0)
| ~ cqxcomp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_24,axiom,
( ra_Px1(Eq_y_0,Eq_y_1)
| ~ ra_Px1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_25,axiom,
( ra_Px2(Eq_y_0,Eq_y_1)
| ~ ra_Px2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_26,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_27,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_28,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_29,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_30,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_31,axiom,
( sP0(Eq_y_0)
| ~ sP0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_32,axiom,
( sP1(Eq_y_0)
| ~ sP1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_33,axiom,
( sP2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP2(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_34,axiom,
( sP3(Eq_y_0)
| ~ sP3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_35,axiom,
( sP4(Eq_y_0)
| ~ sP4(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS114+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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n010.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 19 12:13:23 UTC 2026
% 0.07/0.35 % CPUTime :
% 228.14/228.40 % SZS status Unsatisfiable for theBenchmark
% 228.14/228.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------