%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS104+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 : n009.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 08:47:17 AM UTC 2026
% Result : Unsatisfiable 0.89s 1.19s
% Output : Proof 0.89s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ~ ? [Y] : ra_Px5(X,Y) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cUnsatisfiablexcomp(X)
<=> ( ca_Cx6(X)
& ca_Cx8(X)
& ca_Cx7(X) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cUnsatisfiablexcomp(X)
<=> ? [Y0] : ra_Px5(X,Y0) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( ca(X)
=> ca_Cx1(X) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cb(X)
<=> ? [Y0] : ra_Px3(X,Y0) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( cb(X)
=> ccxcomp(X) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( cbxcomp(X)
<=> ~ ? [Y] : ra_Px3(X,Y) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( cc(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X] :
( ccxcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X] :
( ca_Cx1(X)
<=> ( ccxcomp(X)
& cbxcomp(X) ) ),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X] :
( ca_Cx1(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
! [X] :
( ca_Cx1xcomp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_13) ).
fof(axiom_14,axiom,
! [X] :
( ca_Cx6(X)
<=> ~ ? [Y] : ra_Px6(X,Y) ),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
! [X] :
( ca_Cx6xcomp(X)
<=> ( cb(X)
& ca(X) ) ),
file('theBenchmark.p',axiom_15) ).
fof(axiom_16,axiom,
! [X] :
( ca_Cx6xcomp(X)
<=> ? [Y0] : ra_Px6(X,Y0) ),
file('theBenchmark.p',axiom_16) ).
fof(axiom_17,axiom,
! [X] :
( ca_Cx7(X)
<=> ? [Y0] : ra_Px7(X,Y0) ),
file('theBenchmark.p',axiom_17) ).
fof(axiom_18,axiom,
! [X] :
( ca_Cx7xcomp(X)
<=> ( ca(X)
& cc(X) ) ),
file('theBenchmark.p',axiom_18) ).
fof(axiom_19,axiom,
! [X] :
( ca_Cx7xcomp(X)
<=> ~ ? [Y] : ra_Px7(X,Y) ),
file('theBenchmark.p',axiom_19) ).
fof(axiom_20,axiom,
! [X] :
( ca_Cx8(X)
<=> ~ ? [Y] : ra_Px8(X,Y) ),
file('theBenchmark.p',axiom_20) ).
fof(axiom_21,axiom,
! [X] :
( ca_Cx8xcomp(X)
<=> ? [Y0] : ra_Px8(X,Y0) ),
file('theBenchmark.p',axiom_21) ).
fof(axiom_22,axiom,
! [X] :
( ca_Cx8xcomp(X)
<=> ( cb(X)
& cc(X) ) ),
file('theBenchmark.p',axiom_22) ).
fof(axiom_23,axiom,
cUnsatisfiable(i2003_11_14_17_20_50869),
file('theBenchmark.p',axiom_23) ).
fof(f_1_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_1_2,plain,
! [U_0] :
( ~ cowlNothing(U_0)
& cowlThing(U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_2] : ~ cowlNothing(U_2)
& ! [U_1] : cowlThing(U_1) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
fof(f_1_4,plain,
( ! [U_2] : ~ cowlNothing(U_2)
& ! [U_1] : cowlThing(U_1) ),
inference(definitional_conversion,[status(esa)],[f_1_3]) ).
cnf(f_1_5,plain,
cowlThing(U_1),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_6,plain,
~ cowlNothing(U_2),
inference(clausify,[status(thm)],[f_1_4]) ).
fof(f_2_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_2_2,plain,
! [U_3] :
( ( xsd_string(U_3)
| xsd_integer(U_3) )
& ( ~ xsd_integer(U_3)
| ~ xsd_string(U_3) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_5] :
( xsd_string(U_5)
| xsd_integer(U_5) )
& ! [U_4] :
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
fof(f_2_4,plain,
( ! [U_5] :
( xsd_string(U_5)
| xsd_integer(U_5) )
& ! [U_4] :
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ) ),
inference(definitional_conversion,[status(esa)],[f_2_3]) ).
cnf(f_2_5,plain,
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_6,plain,
( xsd_string(U_5)
| xsd_integer(U_5) ),
inference(clausify,[status(thm)],[f_2_4]) ).
fof(f_3_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ? [Y] : ra_Px5(X,Y) )
& ( ! [Y] : ~ ra_Px5(X,Y)
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_8] :
( ( cUnsatisfiable(U_8)
| ? [U_7] : ra_Px5(U_8,U_7) )
& ( ! [U_6] : ~ ra_Px5(U_8,U_6)
| ~ cUnsatisfiable(U_8) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_10] :
( cUnsatisfiable(U_10)
| ? [U_7] : ra_Px5(U_10,U_7) )
& ! [U_9] :
( ! [U_6] : ~ ra_Px5(U_9,U_6)
| ~ cUnsatisfiable(U_9) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
( ! [U_10] :
( cUnsatisfiable(U_10)
| ra_Px5(U_10,sK1(U_10)) )
& ! [U_9] :
( ! [U_6] : ~ ra_Px5(U_9,U_6)
| ~ cUnsatisfiable(U_9) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_7,sK1(U_10))],[f_3_3]) ).
fof(f_3_5,plain,
( ! [U_10] :
( cUnsatisfiable(U_10)
| ra_Px5(U_10,sK1(U_10)) )
& ! [U_6,U_9] :
( ~ ra_Px5(U_9,U_6)
| ~ cUnsatisfiable(U_9) ) ),
inference(definitional_conversion,[status(esa)],[f_3_4]) ).
cnf(f_3_6,plain,
( ~ ra_Px5(U_9,U_6)
| ~ cUnsatisfiable(U_9) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_7,plain,
( cUnsatisfiable(U_10)
| ra_Px5(U_10,sK1(U_10)) ),
inference(clausify,[status(thm)],[f_3_5]) ).
fof(f_4_1,plain,
! [X] :
( ( cUnsatisfiablexcomp(X)
| ~ ca_Cx6(X)
| ~ ca_Cx8(X)
| ~ ca_Cx7(X) )
& ( ( ca_Cx6(X)
& ca_Cx8(X)
& ca_Cx7(X) )
| ~ cUnsatisfiablexcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_4_2,plain,
! [U_11] :
( ( cUnsatisfiablexcomp(U_11)
| ~ ca_Cx6(U_11)
| ~ ca_Cx8(U_11)
| ~ ca_Cx7(U_11) )
& ( ( ca_Cx6(U_11)
& ca_Cx8(U_11)
& ca_Cx7(U_11) )
| ~ cUnsatisfiablexcomp(U_11) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_13] :
( cUnsatisfiablexcomp(U_13)
| ~ ca_Cx6(U_13)
| ~ ca_Cx8(U_13)
| ~ ca_Cx7(U_13) )
& ! [U_12] :
( ( ca_Cx6(U_12)
& ca_Cx8(U_12)
& ca_Cx7(U_12) )
| ~ cUnsatisfiablexcomp(U_12) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ! [U_12] :
( ca_Cx6(U_12)
| ~ sP0(U_12) )
& ! [U_12] :
( ca_Cx8(U_12)
| ~ sP0(U_12) )
& ! [U_12] :
( ca_Cx7(U_12)
| ~ sP0(U_12) )
& ! [U_13] :
( cUnsatisfiablexcomp(U_13)
| ~ ca_Cx6(U_13)
| ~ ca_Cx8(U_13)
| ~ ca_Cx7(U_13) )
& ! [U_12] :
( sP0(U_12)
| ~ cUnsatisfiablexcomp(U_12) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_4_3]) ).
cnf(f_4_5,plain,
( sP0(U_12)
| ~ cUnsatisfiablexcomp(U_12) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_6,plain,
( cUnsatisfiablexcomp(U_13)
| ~ ca_Cx6(U_13)
| ~ ca_Cx8(U_13)
| ~ ca_Cx7(U_13) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_7,plain,
( ca_Cx7(U_12)
| ~ sP0(U_12) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_8,plain,
( ca_Cx8(U_12)
| ~ sP0(U_12) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_9,plain,
( ca_Cx6(U_12)
| ~ sP0(U_12) ),
inference(clausify,[status(thm)],[f_4_4]) ).
fof(f_5_1,plain,
! [X] :
( ( cUnsatisfiablexcomp(X)
| ! [Y0] : ~ ra_Px5(X,Y0) )
& ( ? [Y0] : ra_Px5(X,Y0)
| ~ cUnsatisfiablexcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_16] :
( ( cUnsatisfiablexcomp(U_16)
| ! [U_15] : ~ ra_Px5(U_16,U_15) )
& ( ? [U_14] : ra_Px5(U_16,U_14)
| ~ cUnsatisfiablexcomp(U_16) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_18] :
( cUnsatisfiablexcomp(U_18)
| ! [U_15] : ~ ra_Px5(U_18,U_15) )
& ! [U_17] :
( ? [U_14] : ra_Px5(U_17,U_14)
| ~ cUnsatisfiablexcomp(U_17) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_18] :
( cUnsatisfiablexcomp(U_18)
| ! [U_15] : ~ ra_Px5(U_18,U_15) )
& ! [U_17] :
( ra_Px5(U_17,sK2(U_17))
| ~ cUnsatisfiablexcomp(U_17) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_14,sK2(U_17))],[f_5_3]) ).
fof(f_5_5,plain,
( ! [U_18,U_15] :
( cUnsatisfiablexcomp(U_18)
| ~ ra_Px5(U_18,U_15) )
& ! [U_17] :
( ra_Px5(U_17,sK2(U_17))
| ~ cUnsatisfiablexcomp(U_17) ) ),
inference(definitional_conversion,[status(esa)],[f_5_4]) ).
cnf(f_5_6,plain,
( ra_Px5(U_17,sK2(U_17))
| ~ cUnsatisfiablexcomp(U_17) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_7,plain,
( cUnsatisfiablexcomp(U_18)
| ~ ra_Px5(U_18,U_15) ),
inference(clausify,[status(thm)],[f_5_5]) ).
fof(f_6_1,plain,
! [X] :
( ca_Cx1(X)
| ~ ca(X) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
! [U_19] :
( ca_Cx1(U_19)
| ~ ca(U_19) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_19] :
( ca_Cx1(U_19)
| ~ ca(U_19) ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( ca_Cx1(U_19)
| ~ ca(U_19) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [X] :
( ( cb(X)
| ! [Y0] : ~ ra_Px3(X,Y0) )
& ( ? [Y0] : ra_Px3(X,Y0)
| ~ cb(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_7_2,plain,
! [U_22] :
( ( cb(U_22)
| ! [U_21] : ~ ra_Px3(U_22,U_21) )
& ( ? [U_20] : ra_Px3(U_22,U_20)
| ~ cb(U_22) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_24] :
( cb(U_24)
| ! [U_21] : ~ ra_Px3(U_24,U_21) )
& ! [U_23] :
( ? [U_20] : ra_Px3(U_23,U_20)
| ~ cb(U_23) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
fof(f_7_4,plain,
( ! [U_24] :
( cb(U_24)
| ! [U_21] : ~ ra_Px3(U_24,U_21) )
& ! [U_23] :
( ra_Px3(U_23,sK3(U_23))
| ~ cb(U_23) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_20,sK3(U_23))],[f_7_3]) ).
fof(f_7_5,plain,
( ! [U_21,U_24] :
( cb(U_24)
| ~ ra_Px3(U_24,U_21) )
& ! [U_23] :
( ra_Px3(U_23,sK3(U_23))
| ~ cb(U_23) ) ),
inference(definitional_conversion,[status(esa)],[f_7_4]) ).
cnf(f_7_6,plain,
( ra_Px3(U_23,sK3(U_23))
| ~ cb(U_23) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_7,plain,
( cb(U_24)
| ~ ra_Px3(U_24,U_21) ),
inference(clausify,[status(thm)],[f_7_5]) ).
fof(f_8_1,plain,
! [X] :
( ccxcomp(X)
| ~ cb(X) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_8_2,plain,
! [U_25] :
( ccxcomp(U_25)
| ~ cb(U_25) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_25] :
( ccxcomp(U_25)
| ~ cb(U_25) ),
inference(definitional_conversion,[status(esa)],[f_8_2]) ).
cnf(f_8_4,plain,
( ccxcomp(U_25)
| ~ cb(U_25) ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [X] :
( ( cbxcomp(X)
| ? [Y] : ra_Px3(X,Y) )
& ( ! [Y] : ~ ra_Px3(X,Y)
| ~ cbxcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_9_2,plain,
! [U_28] :
( ( cbxcomp(U_28)
| ? [U_27] : ra_Px3(U_28,U_27) )
& ( ! [U_26] : ~ ra_Px3(U_28,U_26)
| ~ cbxcomp(U_28) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_30] :
( cbxcomp(U_30)
| ? [U_27] : ra_Px3(U_30,U_27) )
& ! [U_29] :
( ! [U_26] : ~ ra_Px3(U_29,U_26)
| ~ cbxcomp(U_29) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
fof(f_9_4,plain,
( ! [U_30] :
( cbxcomp(U_30)
| ra_Px3(U_30,sK4(U_30)) )
& ! [U_29] :
( ! [U_26] : ~ ra_Px3(U_29,U_26)
| ~ cbxcomp(U_29) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_27,sK4(U_30))],[f_9_3]) ).
fof(f_9_5,plain,
( ! [U_30] :
( cbxcomp(U_30)
| ra_Px3(U_30,sK4(U_30)) )
& ! [U_26,U_29] :
( ~ ra_Px3(U_29,U_26)
| ~ cbxcomp(U_29) ) ),
inference(definitional_conversion,[status(esa)],[f_9_4]) ).
cnf(f_9_6,plain,
( ~ ra_Px3(U_29,U_26)
| ~ cbxcomp(U_29) ),
inference(clausify,[status(thm)],[f_9_5]) ).
cnf(f_9_7,plain,
( cbxcomp(U_30)
| ra_Px3(U_30,sK4(U_30)) ),
inference(clausify,[status(thm)],[f_9_5]) ).
fof(f_10_1,plain,
! [X] :
( ( cc(X)
| ! [Y0] : ~ ra_Px2(X,Y0) )
& ( ? [Y0] : ra_Px2(X,Y0)
| ~ cc(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_10_2,plain,
! [U_33] :
( ( cc(U_33)
| ! [U_32] : ~ ra_Px2(U_33,U_32) )
& ( ? [U_31] : ra_Px2(U_33,U_31)
| ~ cc(U_33) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_35] :
( cc(U_35)
| ! [U_32] : ~ ra_Px2(U_35,U_32) )
& ! [U_34] :
( ? [U_31] : ra_Px2(U_34,U_31)
| ~ cc(U_34) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
fof(f_10_4,plain,
( ! [U_35] :
( cc(U_35)
| ! [U_32] : ~ ra_Px2(U_35,U_32) )
& ! [U_34] :
( ra_Px2(U_34,sK5(U_34))
| ~ cc(U_34) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_31,sK5(U_34))],[f_10_3]) ).
fof(f_10_5,plain,
( ! [U_32,U_35] :
( cc(U_35)
| ~ ra_Px2(U_35,U_32) )
& ! [U_34] :
( ra_Px2(U_34,sK5(U_34))
| ~ cc(U_34) ) ),
inference(definitional_conversion,[status(esa)],[f_10_4]) ).
cnf(f_10_6,plain,
( ra_Px2(U_34,sK5(U_34))
| ~ cc(U_34) ),
inference(clausify,[status(thm)],[f_10_5]) ).
cnf(f_10_7,plain,
( cc(U_35)
| ~ ra_Px2(U_35,U_32) ),
inference(clausify,[status(thm)],[f_10_5]) ).
fof(f_11_1,plain,
! [X] :
( ( ccxcomp(X)
| ? [Y] : ra_Px2(X,Y) )
& ( ! [Y] : ~ ra_Px2(X,Y)
| ~ ccxcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_11_2,plain,
! [U_38] :
( ( ccxcomp(U_38)
| ? [U_37] : ra_Px2(U_38,U_37) )
& ( ! [U_36] : ~ ra_Px2(U_38,U_36)
| ~ ccxcomp(U_38) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_40] :
( ccxcomp(U_40)
| ? [U_37] : ra_Px2(U_40,U_37) )
& ! [U_39] :
( ! [U_36] : ~ ra_Px2(U_39,U_36)
| ~ ccxcomp(U_39) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
fof(f_11_4,plain,
( ! [U_40] :
( ccxcomp(U_40)
| ra_Px2(U_40,sK6(U_40)) )
& ! [U_39] :
( ! [U_36] : ~ ra_Px2(U_39,U_36)
| ~ ccxcomp(U_39) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_37,sK6(U_40))],[f_11_3]) ).
fof(f_11_5,plain,
( ! [U_40] :
( ccxcomp(U_40)
| ra_Px2(U_40,sK6(U_40)) )
& ! [U_39,U_36] :
( ~ ra_Px2(U_39,U_36)
| ~ ccxcomp(U_39) ) ),
inference(definitional_conversion,[status(esa)],[f_11_4]) ).
cnf(f_11_6,plain,
( ~ ra_Px2(U_39,U_36)
| ~ ccxcomp(U_39) ),
inference(clausify,[status(thm)],[f_11_5]) ).
cnf(f_11_7,plain,
( ccxcomp(U_40)
| ra_Px2(U_40,sK6(U_40)) ),
inference(clausify,[status(thm)],[f_11_5]) ).
fof(f_12_1,plain,
! [X] :
( ( ca_Cx1(X)
| ~ ccxcomp(X)
| ~ cbxcomp(X) )
& ( ( ccxcomp(X)
& cbxcomp(X) )
| ~ ca_Cx1(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_12_2,plain,
! [U_41] :
( ( ca_Cx1(U_41)
| ~ ccxcomp(U_41)
| ~ cbxcomp(U_41) )
& ( ( ccxcomp(U_41)
& cbxcomp(U_41) )
| ~ ca_Cx1(U_41) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_43] :
( ca_Cx1(U_43)
| ~ ccxcomp(U_43)
| ~ cbxcomp(U_43) )
& ! [U_42] :
( ( ccxcomp(U_42)
& cbxcomp(U_42) )
| ~ ca_Cx1(U_42) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
fof(f_12_4,plain,
( ! [U_42] :
( ccxcomp(U_42)
| ~ sP1(U_42) )
& ! [U_42] :
( cbxcomp(U_42)
| ~ sP1(U_42) )
& ! [U_43] :
( ca_Cx1(U_43)
| ~ ccxcomp(U_43)
| ~ cbxcomp(U_43) )
& ! [U_42] :
( sP1(U_42)
| ~ ca_Cx1(U_42) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_12_3]) ).
cnf(f_12_5,plain,
( sP1(U_42)
| ~ ca_Cx1(U_42) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_6,plain,
( ca_Cx1(U_43)
| ~ ccxcomp(U_43)
| ~ cbxcomp(U_43) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_7,plain,
( cbxcomp(U_42)
| ~ sP1(U_42) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_8,plain,
( ccxcomp(U_42)
| ~ sP1(U_42) ),
inference(clausify,[status(thm)],[f_12_4]) ).
fof(f_13_1,plain,
! [X] :
( ( ca_Cx1(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ ca_Cx1(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
fof(f_13_2,plain,
! [U_46] :
( ( ca_Cx1(U_46)
| ! [U_45] : ~ ra_Px1(U_46,U_45) )
& ( ? [U_44] : ra_Px1(U_46,U_44)
| ~ ca_Cx1(U_46) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_48] :
( ca_Cx1(U_48)
| ! [U_45] : ~ ra_Px1(U_48,U_45) )
& ! [U_47] :
( ? [U_44] : ra_Px1(U_47,U_44)
| ~ ca_Cx1(U_47) ) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
fof(f_13_4,plain,
( ! [U_48] :
( ca_Cx1(U_48)
| ! [U_45] : ~ ra_Px1(U_48,U_45) )
& ! [U_47] :
( ra_Px1(U_47,sK7(U_47))
| ~ ca_Cx1(U_47) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_44,sK7(U_47))],[f_13_3]) ).
fof(f_13_5,plain,
( ! [U_45,U_48] :
( ca_Cx1(U_48)
| ~ ra_Px1(U_48,U_45) )
& ! [U_47] :
( ra_Px1(U_47,sK7(U_47))
| ~ ca_Cx1(U_47) ) ),
inference(definitional_conversion,[status(esa)],[f_13_4]) ).
cnf(f_13_6,plain,
( ra_Px1(U_47,sK7(U_47))
| ~ ca_Cx1(U_47) ),
inference(clausify,[status(thm)],[f_13_5]) ).
cnf(f_13_7,plain,
( ca_Cx1(U_48)
| ~ ra_Px1(U_48,U_45) ),
inference(clausify,[status(thm)],[f_13_5]) ).
fof(f_14_1,plain,
! [X] :
( ( ca_Cx1xcomp(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ ca_Cx1xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
fof(f_14_2,plain,
! [U_51] :
( ( ca_Cx1xcomp(U_51)
| ? [U_50] : ra_Px1(U_51,U_50) )
& ( ! [U_49] : ~ ra_Px1(U_51,U_49)
| ~ ca_Cx1xcomp(U_51) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_53] :
( ca_Cx1xcomp(U_53)
| ? [U_50] : ra_Px1(U_53,U_50) )
& ! [U_52] :
( ! [U_49] : ~ ra_Px1(U_52,U_49)
| ~ ca_Cx1xcomp(U_52) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
fof(f_14_4,plain,
( ! [U_53] :
( ca_Cx1xcomp(U_53)
| ra_Px1(U_53,sK8(U_53)) )
& ! [U_52] :
( ! [U_49] : ~ ra_Px1(U_52,U_49)
| ~ ca_Cx1xcomp(U_52) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_50,sK8(U_53))],[f_14_3]) ).
fof(f_14_5,plain,
( ! [U_53] :
( ca_Cx1xcomp(U_53)
| ra_Px1(U_53,sK8(U_53)) )
& ! [U_49,U_52] :
( ~ ra_Px1(U_52,U_49)
| ~ ca_Cx1xcomp(U_52) ) ),
inference(definitional_conversion,[status(esa)],[f_14_4]) ).
cnf(f_14_6,plain,
( ~ ra_Px1(U_52,U_49)
| ~ ca_Cx1xcomp(U_52) ),
inference(clausify,[status(thm)],[f_14_5]) ).
cnf(f_14_7,plain,
( ca_Cx1xcomp(U_53)
| ra_Px1(U_53,sK8(U_53)) ),
inference(clausify,[status(thm)],[f_14_5]) ).
fof(f_15_1,plain,
! [X] :
( ( ca_Cx6(X)
| ? [Y] : ra_Px6(X,Y) )
& ( ! [Y] : ~ ra_Px6(X,Y)
| ~ ca_Cx6(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
fof(f_15_2,plain,
! [U_56] :
( ( ca_Cx6(U_56)
| ? [U_55] : ra_Px6(U_56,U_55) )
& ( ! [U_54] : ~ ra_Px6(U_56,U_54)
| ~ ca_Cx6(U_56) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_58] :
( ca_Cx6(U_58)
| ? [U_55] : ra_Px6(U_58,U_55) )
& ! [U_57] :
( ! [U_54] : ~ ra_Px6(U_57,U_54)
| ~ ca_Cx6(U_57) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
( ! [U_58] :
( ca_Cx6(U_58)
| ra_Px6(U_58,sK9(U_58)) )
& ! [U_57] :
( ! [U_54] : ~ ra_Px6(U_57,U_54)
| ~ ca_Cx6(U_57) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_55,sK9(U_58))],[f_15_3]) ).
fof(f_15_5,plain,
( ! [U_58] :
( ca_Cx6(U_58)
| ra_Px6(U_58,sK9(U_58)) )
& ! [U_57,U_54] :
( ~ ra_Px6(U_57,U_54)
| ~ ca_Cx6(U_57) ) ),
inference(definitional_conversion,[status(esa)],[f_15_4]) ).
cnf(f_15_6,plain,
( ~ ra_Px6(U_57,U_54)
| ~ ca_Cx6(U_57) ),
inference(clausify,[status(thm)],[f_15_5]) ).
cnf(f_15_7,plain,
( ca_Cx6(U_58)
| ra_Px6(U_58,sK9(U_58)) ),
inference(clausify,[status(thm)],[f_15_5]) ).
fof(f_16_1,plain,
! [X] :
( ( ca_Cx6xcomp(X)
| ~ cb(X)
| ~ ca(X) )
& ( ( cb(X)
& ca(X) )
| ~ ca_Cx6xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_15]) ).
fof(f_16_2,plain,
! [U_59] :
( ( ca_Cx6xcomp(U_59)
| ~ cb(U_59)
| ~ ca(U_59) )
& ( ( cb(U_59)
& ca(U_59) )
| ~ ca_Cx6xcomp(U_59) ) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
( ! [U_61] :
( ca_Cx6xcomp(U_61)
| ~ cb(U_61)
| ~ ca(U_61) )
& ! [U_60] :
( ( cb(U_60)
& ca(U_60) )
| ~ ca_Cx6xcomp(U_60) ) ),
inference(miniscope,[status(thm)],[f_16_2]) ).
fof(f_16_4,plain,
( ! [U_60] :
( cb(U_60)
| ~ sP2(U_60) )
& ! [U_60] :
( ca(U_60)
| ~ sP2(U_60) )
& ! [U_61] :
( ca_Cx6xcomp(U_61)
| ~ cb(U_61)
| ~ ca(U_61) )
& ! [U_60] :
( sP2(U_60)
| ~ ca_Cx6xcomp(U_60) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2])],[f_16_3]) ).
cnf(f_16_5,plain,
( sP2(U_60)
| ~ ca_Cx6xcomp(U_60) ),
inference(clausify,[status(thm)],[f_16_4]) ).
cnf(f_16_6,plain,
( ca_Cx6xcomp(U_61)
| ~ cb(U_61)
| ~ ca(U_61) ),
inference(clausify,[status(thm)],[f_16_4]) ).
cnf(f_16_7,plain,
( ca(U_60)
| ~ sP2(U_60) ),
inference(clausify,[status(thm)],[f_16_4]) ).
cnf(f_16_8,plain,
( cb(U_60)
| ~ sP2(U_60) ),
inference(clausify,[status(thm)],[f_16_4]) ).
fof(f_17_1,plain,
! [X] :
( ( ca_Cx6xcomp(X)
| ! [Y0] : ~ ra_Px6(X,Y0) )
& ( ? [Y0] : ra_Px6(X,Y0)
| ~ ca_Cx6xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_16]) ).
fof(f_17_2,plain,
! [U_64] :
( ( ca_Cx6xcomp(U_64)
| ! [U_63] : ~ ra_Px6(U_64,U_63) )
& ( ? [U_62] : ra_Px6(U_64,U_62)
| ~ ca_Cx6xcomp(U_64) ) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( ! [U_66] :
( ca_Cx6xcomp(U_66)
| ! [U_63] : ~ ra_Px6(U_66,U_63) )
& ! [U_65] :
( ? [U_62] : ra_Px6(U_65,U_62)
| ~ ca_Cx6xcomp(U_65) ) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
fof(f_17_4,plain,
( ! [U_66] :
( ca_Cx6xcomp(U_66)
| ! [U_63] : ~ ra_Px6(U_66,U_63) )
& ! [U_65] :
( ra_Px6(U_65,sK10(U_65))
| ~ ca_Cx6xcomp(U_65) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_62,sK10(U_65))],[f_17_3]) ).
fof(f_17_5,plain,
( ! [U_63,U_66] :
( ca_Cx6xcomp(U_66)
| ~ ra_Px6(U_66,U_63) )
& ! [U_65] :
( ra_Px6(U_65,sK10(U_65))
| ~ ca_Cx6xcomp(U_65) ) ),
inference(definitional_conversion,[status(esa)],[f_17_4]) ).
cnf(f_17_6,plain,
( ra_Px6(U_65,sK10(U_65))
| ~ ca_Cx6xcomp(U_65) ),
inference(clausify,[status(thm)],[f_17_5]) ).
cnf(f_17_7,plain,
( ca_Cx6xcomp(U_66)
| ~ ra_Px6(U_66,U_63) ),
inference(clausify,[status(thm)],[f_17_5]) ).
fof(f_18_1,plain,
! [X] :
( ( ca_Cx7(X)
| ! [Y0] : ~ ra_Px7(X,Y0) )
& ( ? [Y0] : ra_Px7(X,Y0)
| ~ ca_Cx7(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_17]) ).
fof(f_18_2,plain,
! [U_69] :
( ( ca_Cx7(U_69)
| ! [U_68] : ~ ra_Px7(U_69,U_68) )
& ( ? [U_67] : ra_Px7(U_69,U_67)
| ~ ca_Cx7(U_69) ) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
( ! [U_71] :
( ca_Cx7(U_71)
| ! [U_68] : ~ ra_Px7(U_71,U_68) )
& ! [U_70] :
( ? [U_67] : ra_Px7(U_70,U_67)
| ~ ca_Cx7(U_70) ) ),
inference(miniscope,[status(thm)],[f_18_2]) ).
fof(f_18_4,plain,
( ! [U_71] :
( ca_Cx7(U_71)
| ! [U_68] : ~ ra_Px7(U_71,U_68) )
& ! [U_70] :
( ra_Px7(U_70,sK11(U_70))
| ~ ca_Cx7(U_70) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_67,sK11(U_70))],[f_18_3]) ).
fof(f_18_5,plain,
( ! [U_68,U_71] :
( ca_Cx7(U_71)
| ~ ra_Px7(U_71,U_68) )
& ! [U_70] :
( ra_Px7(U_70,sK11(U_70))
| ~ ca_Cx7(U_70) ) ),
inference(definitional_conversion,[status(esa)],[f_18_4]) ).
cnf(f_18_6,plain,
( ra_Px7(U_70,sK11(U_70))
| ~ ca_Cx7(U_70) ),
inference(clausify,[status(thm)],[f_18_5]) ).
cnf(f_18_7,plain,
( ca_Cx7(U_71)
| ~ ra_Px7(U_71,U_68) ),
inference(clausify,[status(thm)],[f_18_5]) ).
fof(f_19_1,plain,
! [X] :
( ( ca_Cx7xcomp(X)
| ~ ca(X)
| ~ cc(X) )
& ( ( ca(X)
& cc(X) )
| ~ ca_Cx7xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_18]) ).
fof(f_19_2,plain,
! [U_72] :
( ( ca_Cx7xcomp(U_72)
| ~ ca(U_72)
| ~ cc(U_72) )
& ( ( ca(U_72)
& cc(U_72) )
| ~ ca_Cx7xcomp(U_72) ) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
( ! [U_74] :
( ca_Cx7xcomp(U_74)
| ~ ca(U_74)
| ~ cc(U_74) )
& ! [U_73] :
( ( ca(U_73)
& cc(U_73) )
| ~ ca_Cx7xcomp(U_73) ) ),
inference(miniscope,[status(thm)],[f_19_2]) ).
fof(f_19_4,plain,
( ! [U_73] :
( ca(U_73)
| ~ sP3(U_73) )
& ! [U_73] :
( cc(U_73)
| ~ sP3(U_73) )
& ! [U_74] :
( ca_Cx7xcomp(U_74)
| ~ ca(U_74)
| ~ cc(U_74) )
& ! [U_73] :
( sP3(U_73)
| ~ ca_Cx7xcomp(U_73) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3])],[f_19_3]) ).
cnf(f_19_5,plain,
( sP3(U_73)
| ~ ca_Cx7xcomp(U_73) ),
inference(clausify,[status(thm)],[f_19_4]) ).
cnf(f_19_6,plain,
( ca_Cx7xcomp(U_74)
| ~ ca(U_74)
| ~ cc(U_74) ),
inference(clausify,[status(thm)],[f_19_4]) ).
cnf(f_19_7,plain,
( cc(U_73)
| ~ sP3(U_73) ),
inference(clausify,[status(thm)],[f_19_4]) ).
cnf(f_19_8,plain,
( ca(U_73)
| ~ sP3(U_73) ),
inference(clausify,[status(thm)],[f_19_4]) ).
fof(f_20_1,plain,
! [X] :
( ( ca_Cx7xcomp(X)
| ? [Y] : ra_Px7(X,Y) )
& ( ! [Y] : ~ ra_Px7(X,Y)
| ~ ca_Cx7xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_19]) ).
fof(f_20_2,plain,
! [U_77] :
( ( ca_Cx7xcomp(U_77)
| ? [U_76] : ra_Px7(U_77,U_76) )
& ( ! [U_75] : ~ ra_Px7(U_77,U_75)
| ~ ca_Cx7xcomp(U_77) ) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
( ! [U_79] :
( ca_Cx7xcomp(U_79)
| ? [U_76] : ra_Px7(U_79,U_76) )
& ! [U_78] :
( ! [U_75] : ~ ra_Px7(U_78,U_75)
| ~ ca_Cx7xcomp(U_78) ) ),
inference(miniscope,[status(thm)],[f_20_2]) ).
fof(f_20_4,plain,
( ! [U_79] :
( ca_Cx7xcomp(U_79)
| ra_Px7(U_79,sK12(U_79)) )
& ! [U_78] :
( ! [U_75] : ~ ra_Px7(U_78,U_75)
| ~ ca_Cx7xcomp(U_78) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_76,sK12(U_79))],[f_20_3]) ).
fof(f_20_5,plain,
( ! [U_79] :
( ca_Cx7xcomp(U_79)
| ra_Px7(U_79,sK12(U_79)) )
& ! [U_75,U_78] :
( ~ ra_Px7(U_78,U_75)
| ~ ca_Cx7xcomp(U_78) ) ),
inference(definitional_conversion,[status(esa)],[f_20_4]) ).
cnf(f_20_6,plain,
( ~ ra_Px7(U_78,U_75)
| ~ ca_Cx7xcomp(U_78) ),
inference(clausify,[status(thm)],[f_20_5]) ).
cnf(f_20_7,plain,
( ca_Cx7xcomp(U_79)
| ra_Px7(U_79,sK12(U_79)) ),
inference(clausify,[status(thm)],[f_20_5]) ).
fof(f_21_1,plain,
! [X] :
( ( ca_Cx8(X)
| ? [Y] : ra_Px8(X,Y) )
& ( ! [Y] : ~ ra_Px8(X,Y)
| ~ ca_Cx8(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_20]) ).
fof(f_21_2,plain,
! [U_82] :
( ( ca_Cx8(U_82)
| ? [U_81] : ra_Px8(U_82,U_81) )
& ( ! [U_80] : ~ ra_Px8(U_82,U_80)
| ~ ca_Cx8(U_82) ) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
( ! [U_84] :
( ca_Cx8(U_84)
| ? [U_81] : ra_Px8(U_84,U_81) )
& ! [U_83] :
( ! [U_80] : ~ ra_Px8(U_83,U_80)
| ~ ca_Cx8(U_83) ) ),
inference(miniscope,[status(thm)],[f_21_2]) ).
fof(f_21_4,plain,
( ! [U_84] :
( ca_Cx8(U_84)
| ra_Px8(U_84,sK13(U_84)) )
& ! [U_83] :
( ! [U_80] : ~ ra_Px8(U_83,U_80)
| ~ ca_Cx8(U_83) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_81,sK13(U_84))],[f_21_3]) ).
fof(f_21_5,plain,
( ! [U_84] :
( ca_Cx8(U_84)
| ra_Px8(U_84,sK13(U_84)) )
& ! [U_80,U_83] :
( ~ ra_Px8(U_83,U_80)
| ~ ca_Cx8(U_83) ) ),
inference(definitional_conversion,[status(esa)],[f_21_4]) ).
cnf(f_21_6,plain,
( ~ ra_Px8(U_83,U_80)
| ~ ca_Cx8(U_83) ),
inference(clausify,[status(thm)],[f_21_5]) ).
cnf(f_21_7,plain,
( ca_Cx8(U_84)
| ra_Px8(U_84,sK13(U_84)) ),
inference(clausify,[status(thm)],[f_21_5]) ).
fof(f_22_1,plain,
! [X] :
( ( ca_Cx8xcomp(X)
| ! [Y0] : ~ ra_Px8(X,Y0) )
& ( ? [Y0] : ra_Px8(X,Y0)
| ~ ca_Cx8xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_21]) ).
fof(f_22_2,plain,
! [U_87] :
( ( ca_Cx8xcomp(U_87)
| ! [U_86] : ~ ra_Px8(U_87,U_86) )
& ( ? [U_85] : ra_Px8(U_87,U_85)
| ~ ca_Cx8xcomp(U_87) ) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
( ! [U_89] :
( ca_Cx8xcomp(U_89)
| ! [U_86] : ~ ra_Px8(U_89,U_86) )
& ! [U_88] :
( ? [U_85] : ra_Px8(U_88,U_85)
| ~ ca_Cx8xcomp(U_88) ) ),
inference(miniscope,[status(thm)],[f_22_2]) ).
fof(f_22_4,plain,
( ! [U_89] :
( ca_Cx8xcomp(U_89)
| ! [U_86] : ~ ra_Px8(U_89,U_86) )
& ! [U_88] :
( ra_Px8(U_88,sK14(U_88))
| ~ ca_Cx8xcomp(U_88) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_85,sK14(U_88))],[f_22_3]) ).
fof(f_22_5,plain,
( ! [U_86,U_89] :
( ca_Cx8xcomp(U_89)
| ~ ra_Px8(U_89,U_86) )
& ! [U_88] :
( ra_Px8(U_88,sK14(U_88))
| ~ ca_Cx8xcomp(U_88) ) ),
inference(definitional_conversion,[status(esa)],[f_22_4]) ).
cnf(f_22_6,plain,
( ra_Px8(U_88,sK14(U_88))
| ~ ca_Cx8xcomp(U_88) ),
inference(clausify,[status(thm)],[f_22_5]) ).
cnf(f_22_7,plain,
( ca_Cx8xcomp(U_89)
| ~ ra_Px8(U_89,U_86) ),
inference(clausify,[status(thm)],[f_22_5]) ).
fof(f_23_1,plain,
! [X] :
( ( ca_Cx8xcomp(X)
| ~ cb(X)
| ~ cc(X) )
& ( ( cb(X)
& cc(X) )
| ~ ca_Cx8xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_22]) ).
fof(f_23_2,plain,
! [U_90] :
( ( ca_Cx8xcomp(U_90)
| ~ cb(U_90)
| ~ cc(U_90) )
& ( ( cb(U_90)
& cc(U_90) )
| ~ ca_Cx8xcomp(U_90) ) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
( ! [U_92] :
( ca_Cx8xcomp(U_92)
| ~ cb(U_92)
| ~ cc(U_92) )
& ! [U_91] :
( ( cb(U_91)
& cc(U_91) )
| ~ ca_Cx8xcomp(U_91) ) ),
inference(miniscope,[status(thm)],[f_23_2]) ).
fof(f_23_4,plain,
( ! [U_91] :
( cb(U_91)
| ~ sP4(U_91) )
& ! [U_91] :
( cc(U_91)
| ~ sP4(U_91) )
& ! [U_92] :
( ca_Cx8xcomp(U_92)
| ~ cb(U_92)
| ~ cc(U_92) )
& ! [U_91] :
( sP4(U_91)
| ~ ca_Cx8xcomp(U_91) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP4])],[f_23_3]) ).
cnf(f_23_5,plain,
( sP4(U_91)
| ~ ca_Cx8xcomp(U_91) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_6,plain,
( ca_Cx8xcomp(U_92)
| ~ cb(U_92)
| ~ cc(U_92) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_7,plain,
( cc(U_91)
| ~ sP4(U_91) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_8,plain,
( cb(U_91)
| ~ sP4(U_91) ),
inference(clausify,[status(thm)],[f_23_4]) ).
fof(f_24_1,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(fof_nnf,[status(thm)],[axiom_23]) ).
fof(f_24_2,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(definitional_conversion,[status(esa)],[f_24_1]) ).
cnf(f_24_3,plain,
cUnsatisfiable(i2003_11_14_17_20_50869),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS104+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_UNS_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 12:12:57 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.89/1.19 % SZS status Unsatisfiable for theBenchmark
% 0.89/1.19 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------