%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS116+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 08:47:18 AM UTC 2026
% Result : Unsatisfiable 25.05s 25.35s
% Output : Proof 25.05s
% 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)
=> ca(X) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cUnsatisfiable(X)
=> ? [Y] :
( ca_Ax2(Y)
& rs(X,Y) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( ca(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( caxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cc(X)
<=> ! [Y] :
( rinvR(X,Y)
=> ca_Vx7(Y) ) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( ca_Ax2(X)
<=> ( ! [Y] :
( rp(X,Y)
=> ca_Vx4(Y) )
& ? [Y] :
( cowlThing(Y)
& rp(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rr(X,Y) )
& ! [Y] :
( rr(X,Y)
=> cc(Y) )
& ! [Y] :
( rp(X,Y)
=> ca_Vx5(Y) )
& ! [Y] :
( rp(X,Y)
=> ca_Vx3(Y) ) ) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( ca_Vx4(X)
<=> ? [Y] :
( cowlThing(Y)
& rp(X,Y) ) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X] :
( ca_Vx5(X)
<=> ! [Y] :
( rr(X,Y)
=> cc(Y) ) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X] :
( ca_Vx6(X)
<=> ! [Y] :
( rinvS(X,Y)
=> caxcomp(Y) ) ),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X] :
( ca_Vx7(X)
<=> ! [Y] :
( rinvP(X,Y)
=> ca_Vx6(Y) ) ),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
! [X,Y] :
( rinvP(X,Y)
<=> rp(Y,X) ),
file('theBenchmark.p',axiom_13) ).
fof(axiom_14,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('theBenchmark.p',axiom_15) ).
fof(axiom_16,axiom,
! [X,Y,Z] :
( ( rp(Y,Z)
& rp(X,Y) )
=> rp(X,Z) ),
file('theBenchmark.p',axiom_16) ).
fof(axiom_17,axiom,
cUnsatisfiable(i2003_11_14_17_21_33997),
file('theBenchmark.p',axiom_17) ).
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] :
( ca(X)
| ~ cUnsatisfiable(X) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_6] :
( ca(U_6)
| ~ cUnsatisfiable(U_6) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_6] :
( ca(U_6)
| ~ cUnsatisfiable(U_6) ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( ca(U_6)
| ~ cUnsatisfiable(U_6) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [X] :
( ? [Y] :
( ca_Ax2(Y)
& rs(X,Y) )
| ~ cUnsatisfiable(X) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_4_2,plain,
! [U_8] :
( ? [U_7] :
( ca_Ax2(U_7)
& rs(U_8,U_7) )
| ~ cUnsatisfiable(U_8) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_8] :
( ( ca_Ax2(sK1(U_8))
& rs(U_8,sK1(U_8)) )
| ~ cUnsatisfiable(U_8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_7,sK1(U_8))],[f_4_2]) ).
fof(f_4_4,plain,
( ! [U_8] :
( ca_Ax2(sK1(U_8))
| ~ sP0(U_8) )
& ! [U_8] :
( rs(U_8,sK1(U_8))
| ~ sP0(U_8) )
& ! [U_8] :
( sP0(U_8)
| ~ cUnsatisfiable(U_8) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_4_3]) ).
cnf(f_4_5,plain,
( sP0(U_8)
| ~ cUnsatisfiable(U_8) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_6,plain,
( rs(U_8,sK1(U_8))
| ~ sP0(U_8) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_7,plain,
( ca_Ax2(sK1(U_8))
| ~ sP0(U_8) ),
inference(clausify,[status(thm)],[f_4_4]) ).
fof(f_5_1,plain,
! [X] :
( ( ca(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ ca(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_11] :
( ( ca(U_11)
| ? [U_10] : ra_Px1(U_11,U_10) )
& ( ! [U_9] : ~ ra_Px1(U_11,U_9)
| ~ ca(U_11) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_13] :
( ca(U_13)
| ? [U_10] : ra_Px1(U_13,U_10) )
& ! [U_12] :
( ! [U_9] : ~ ra_Px1(U_12,U_9)
| ~ ca(U_12) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_13] :
( ca(U_13)
| ra_Px1(U_13,sK2(U_13)) )
& ! [U_12] :
( ! [U_9] : ~ ra_Px1(U_12,U_9)
| ~ ca(U_12) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_10,sK2(U_13))],[f_5_3]) ).
fof(f_5_5,plain,
( ! [U_13] :
( ca(U_13)
| ra_Px1(U_13,sK2(U_13)) )
& ! [U_9,U_12] :
( ~ ra_Px1(U_12,U_9)
| ~ ca(U_12) ) ),
inference(definitional_conversion,[status(esa)],[f_5_4]) ).
cnf(f_5_6,plain,
( ~ ra_Px1(U_12,U_9)
| ~ ca(U_12) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_7,plain,
( ca(U_13)
| ra_Px1(U_13,sK2(U_13)) ),
inference(clausify,[status(thm)],[f_5_5]) ).
fof(f_6_1,plain,
! [X] :
( ( caxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ caxcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
! [U_16] :
( ( caxcomp(U_16)
| ! [U_15] : ~ ra_Px1(U_16,U_15) )
& ( ? [U_14] : ra_Px1(U_16,U_14)
| ~ caxcomp(U_16) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_18] :
( caxcomp(U_18)
| ! [U_15] : ~ ra_Px1(U_18,U_15) )
& ! [U_17] :
( ? [U_14] : ra_Px1(U_17,U_14)
| ~ caxcomp(U_17) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
( ! [U_18] :
( caxcomp(U_18)
| ! [U_15] : ~ ra_Px1(U_18,U_15) )
& ! [U_17] :
( ra_Px1(U_17,sK3(U_17))
| ~ caxcomp(U_17) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_14,sK3(U_17))],[f_6_3]) ).
fof(f_6_5,plain,
( ! [U_15,U_18] :
( caxcomp(U_18)
| ~ ra_Px1(U_18,U_15) )
& ! [U_17] :
( ra_Px1(U_17,sK3(U_17))
| ~ caxcomp(U_17) ) ),
inference(definitional_conversion,[status(esa)],[f_6_4]) ).
cnf(f_6_6,plain,
( ra_Px1(U_17,sK3(U_17))
| ~ caxcomp(U_17) ),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_7,plain,
( caxcomp(U_18)
| ~ ra_Px1(U_18,U_15) ),
inference(clausify,[status(thm)],[f_6_5]) ).
fof(f_7_1,plain,
! [X] :
( ( cc(X)
| ? [Y] :
( ~ ca_Vx7(Y)
& rinvR(X,Y) ) )
& ( ! [Y] :
( ca_Vx7(Y)
| ~ rinvR(X,Y) )
| ~ cc(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_7_2,plain,
! [U_21] :
( ( cc(U_21)
| ? [U_20] :
( ~ ca_Vx7(U_20)
& rinvR(U_21,U_20) ) )
& ( ! [U_19] :
( ca_Vx7(U_19)
| ~ rinvR(U_21,U_19) )
| ~ cc(U_21) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_23] :
( cc(U_23)
| ? [U_20] :
( ~ ca_Vx7(U_20)
& rinvR(U_23,U_20) ) )
& ! [U_22] :
( ! [U_19] :
( ca_Vx7(U_19)
| ~ rinvR(U_22,U_19) )
| ~ cc(U_22) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
fof(f_7_4,plain,
( ! [U_23] :
( cc(U_23)
| ( ~ ca_Vx7(sK4(U_23))
& rinvR(U_23,sK4(U_23)) ) )
& ! [U_22] :
( ! [U_19] :
( ca_Vx7(U_19)
| ~ rinvR(U_22,U_19) )
| ~ cc(U_22) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_20,sK4(U_23))],[f_7_3]) ).
fof(f_7_5,plain,
( ! [U_23] :
( ~ ca_Vx7(sK4(U_23))
| ~ sP1(U_23) )
& ! [U_23] :
( rinvR(U_23,sK4(U_23))
| ~ sP1(U_23) )
& ! [U_23] :
( cc(U_23)
| sP1(U_23) )
& ! [U_19,U_22] :
( ca_Vx7(U_19)
| ~ rinvR(U_22,U_19)
| ~ cc(U_22) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_7_4]) ).
cnf(f_7_6,plain,
( ca_Vx7(U_19)
| ~ rinvR(U_22,U_19)
| ~ cc(U_22) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_7,plain,
( cc(U_23)
| sP1(U_23) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_8,plain,
( rinvR(U_23,sK4(U_23))
| ~ sP1(U_23) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_9,plain,
( ~ ca_Vx7(sK4(U_23))
| ~ sP1(U_23) ),
inference(clausify,[status(thm)],[f_7_5]) ).
fof(f_8_1,plain,
! [X] :
( ( ca_Ax2(X)
| ? [Y] :
( ~ ca_Vx4(Y)
& rp(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rp(X,Y) )
| ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| ? [Y] :
( ~ cc(Y)
& rr(X,Y) )
| ? [Y] :
( ~ ca_Vx5(Y)
& rp(X,Y) )
| ? [Y] :
( ~ ca_Vx3(Y)
& rp(X,Y) ) )
& ( ( ! [Y] :
( ca_Vx4(Y)
| ~ rp(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rp(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rr(X,Y) )
& ! [Y] :
( cc(Y)
| ~ rr(X,Y) )
& ! [Y] :
( ca_Vx5(Y)
| ~ rp(X,Y) )
& ! [Y] :
( ca_Vx3(Y)
| ~ rp(X,Y) ) )
| ~ ca_Ax2(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_8_2,plain,
! [U_36] :
( ( ca_Ax2(U_36)
| ? [U_35] :
( ~ ca_Vx4(U_35)
& rp(U_36,U_35) )
| ! [U_34] :
( ~ cowlThing(U_34)
| ~ rp(U_36,U_34) )
| ! [U_33] :
( ~ cowlThing(U_33)
| ~ rr(U_36,U_33) )
| ? [U_32] :
( ~ cc(U_32)
& rr(U_36,U_32) )
| ? [U_31] :
( ~ ca_Vx5(U_31)
& rp(U_36,U_31) )
| ? [U_30] :
( ~ ca_Vx3(U_30)
& rp(U_36,U_30) ) )
& ( ( ! [U_29] :
( ca_Vx4(U_29)
| ~ rp(U_36,U_29) )
& ? [U_28] :
( cowlThing(U_28)
& rp(U_36,U_28) )
& ? [U_27] :
( cowlThing(U_27)
& rr(U_36,U_27) )
& ! [U_26] :
( cc(U_26)
| ~ rr(U_36,U_26) )
& ! [U_25] :
( ca_Vx5(U_25)
| ~ rp(U_36,U_25) )
& ! [U_24] :
( ca_Vx3(U_24)
| ~ rp(U_36,U_24) ) )
| ~ ca_Ax2(U_36) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_38] :
( ca_Ax2(U_38)
| ? [U_35] :
( ~ ca_Vx4(U_35)
& rp(U_38,U_35) )
| ! [U_34] :
( ~ cowlThing(U_34)
| ~ rp(U_38,U_34) )
| ! [U_33] :
( ~ cowlThing(U_33)
| ~ rr(U_38,U_33) )
| ? [U_32] :
( ~ cc(U_32)
& rr(U_38,U_32) )
| ? [U_31] :
( ~ ca_Vx5(U_31)
& rp(U_38,U_31) )
| ? [U_30] :
( ~ ca_Vx3(U_30)
& rp(U_38,U_30) ) )
& ! [U_37] :
( ( ! [U_29] :
( ca_Vx4(U_29)
| ~ rp(U_37,U_29) )
& ? [U_28] :
( cowlThing(U_28)
& rp(U_37,U_28) )
& ? [U_27] :
( cowlThing(U_27)
& rr(U_37,U_27) )
& ! [U_26] :
( cc(U_26)
| ~ rr(U_37,U_26) )
& ! [U_25] :
( ca_Vx5(U_25)
| ~ rp(U_37,U_25) )
& ! [U_24] :
( ca_Vx3(U_24)
| ~ rp(U_37,U_24) ) )
| ~ ca_Ax2(U_37) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_38] :
( ca_Ax2(U_38)
| ? [U_35] :
( ~ ca_Vx4(U_35)
& rp(U_38,U_35) )
| ! [U_34] :
( ~ cowlThing(U_34)
| ~ rp(U_38,U_34) )
| ! [U_33] :
( ~ cowlThing(U_33)
| ~ rr(U_38,U_33) )
| ? [U_32] :
( ~ cc(U_32)
& rr(U_38,U_32) )
| ? [U_31] :
( ~ ca_Vx5(U_31)
& rp(U_38,U_31) )
| ? [U_30] :
( ~ ca_Vx3(U_30)
& rp(U_38,U_30) ) )
& ! [U_37] :
( ( ! [U_29] :
( ca_Vx4(U_29)
| ~ rp(U_37,U_29) )
& ? [U_28] :
( cowlThing(U_28)
& rp(U_37,U_28) )
& cowlThing(sK5(U_37))
& rr(U_37,sK5(U_37))
& ! [U_26] :
( cc(U_26)
| ~ rr(U_37,U_26) )
& ! [U_25] :
( ca_Vx5(U_25)
| ~ rp(U_37,U_25) )
& ! [U_24] :
( ca_Vx3(U_24)
| ~ rp(U_37,U_24) ) )
| ~ ca_Ax2(U_37) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_27,sK5(U_37))],[f_8_3]) ).
fof(f_8_5,plain,
( ! [U_38] :
( ca_Ax2(U_38)
| ? [U_35] :
( ~ ca_Vx4(U_35)
& rp(U_38,U_35) )
| ! [U_34] :
( ~ cowlThing(U_34)
| ~ rp(U_38,U_34) )
| ! [U_33] :
( ~ cowlThing(U_33)
| ~ rr(U_38,U_33) )
| ? [U_32] :
( ~ cc(U_32)
& rr(U_38,U_32) )
| ? [U_31] :
( ~ ca_Vx5(U_31)
& rp(U_38,U_31) )
| ? [U_30] :
( ~ ca_Vx3(U_30)
& rp(U_38,U_30) ) )
& ! [U_37] :
( ( ! [U_29] :
( ca_Vx4(U_29)
| ~ rp(U_37,U_29) )
& cowlThing(sK6(U_37))
& rp(U_37,sK6(U_37))
& cowlThing(sK5(U_37))
& rr(U_37,sK5(U_37))
& ! [U_26] :
( cc(U_26)
| ~ rr(U_37,U_26) )
& ! [U_25] :
( ca_Vx5(U_25)
| ~ rp(U_37,U_25) )
& ! [U_24] :
( ca_Vx3(U_24)
| ~ rp(U_37,U_24) ) )
| ~ ca_Ax2(U_37) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_28,sK6(U_37))],[f_8_4]) ).
fof(f_8_6,plain,
( ! [U_38] :
( ca_Ax2(U_38)
| ? [U_35] :
( ~ ca_Vx4(U_35)
& rp(U_38,U_35) )
| ! [U_34] :
( ~ cowlThing(U_34)
| ~ rp(U_38,U_34) )
| ! [U_33] :
( ~ cowlThing(U_33)
| ~ rr(U_38,U_33) )
| ? [U_32] :
( ~ cc(U_32)
& rr(U_38,U_32) )
| ? [U_31] :
( ~ ca_Vx5(U_31)
& rp(U_38,U_31) )
| ( ~ ca_Vx3(sK7(U_38))
& rp(U_38,sK7(U_38)) ) )
& ! [U_37] :
( ( ! [U_29] :
( ca_Vx4(U_29)
| ~ rp(U_37,U_29) )
& cowlThing(sK6(U_37))
& rp(U_37,sK6(U_37))
& cowlThing(sK5(U_37))
& rr(U_37,sK5(U_37))
& ! [U_26] :
( cc(U_26)
| ~ rr(U_37,U_26) )
& ! [U_25] :
( ca_Vx5(U_25)
| ~ rp(U_37,U_25) )
& ! [U_24] :
( ca_Vx3(U_24)
| ~ rp(U_37,U_24) ) )
| ~ ca_Ax2(U_37) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_30,sK7(U_38))],[f_8_5]) ).
fof(f_8_7,plain,
( ! [U_38] :
( ca_Ax2(U_38)
| ? [U_35] :
( ~ ca_Vx4(U_35)
& rp(U_38,U_35) )
| ! [U_34] :
( ~ cowlThing(U_34)
| ~ rp(U_38,U_34) )
| ! [U_33] :
( ~ cowlThing(U_33)
| ~ rr(U_38,U_33) )
| ? [U_32] :
( ~ cc(U_32)
& rr(U_38,U_32) )
| ( ~ ca_Vx5(sK8(U_38))
& rp(U_38,sK8(U_38)) )
| ( ~ ca_Vx3(sK7(U_38))
& rp(U_38,sK7(U_38)) ) )
& ! [U_37] :
( ( ! [U_29] :
( ca_Vx4(U_29)
| ~ rp(U_37,U_29) )
& cowlThing(sK6(U_37))
& rp(U_37,sK6(U_37))
& cowlThing(sK5(U_37))
& rr(U_37,sK5(U_37))
& ! [U_26] :
( cc(U_26)
| ~ rr(U_37,U_26) )
& ! [U_25] :
( ca_Vx5(U_25)
| ~ rp(U_37,U_25) )
& ! [U_24] :
( ca_Vx3(U_24)
| ~ rp(U_37,U_24) ) )
| ~ ca_Ax2(U_37) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_31,sK8(U_38))],[f_8_6]) ).
fof(f_8_8,plain,
( ! [U_38] :
( ca_Ax2(U_38)
| ? [U_35] :
( ~ ca_Vx4(U_35)
& rp(U_38,U_35) )
| ! [U_34] :
( ~ cowlThing(U_34)
| ~ rp(U_38,U_34) )
| ! [U_33] :
( ~ cowlThing(U_33)
| ~ rr(U_38,U_33) )
| ( ~ cc(sK9(U_38))
& rr(U_38,sK9(U_38)) )
| ( ~ ca_Vx5(sK8(U_38))
& rp(U_38,sK8(U_38)) )
| ( ~ ca_Vx3(sK7(U_38))
& rp(U_38,sK7(U_38)) ) )
& ! [U_37] :
( ( ! [U_29] :
( ca_Vx4(U_29)
| ~ rp(U_37,U_29) )
& cowlThing(sK6(U_37))
& rp(U_37,sK6(U_37))
& cowlThing(sK5(U_37))
& rr(U_37,sK5(U_37))
& ! [U_26] :
( cc(U_26)
| ~ rr(U_37,U_26) )
& ! [U_25] :
( ca_Vx5(U_25)
| ~ rp(U_37,U_25) )
& ! [U_24] :
( ca_Vx3(U_24)
| ~ rp(U_37,U_24) ) )
| ~ ca_Ax2(U_37) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_32,sK9(U_38))],[f_8_7]) ).
fof(f_8_9,plain,
( ! [U_38] :
( ca_Ax2(U_38)
| ( ~ ca_Vx4(sK10(U_38))
& rp(U_38,sK10(U_38)) )
| ! [U_34] :
( ~ cowlThing(U_34)
| ~ rp(U_38,U_34) )
| ! [U_33] :
( ~ cowlThing(U_33)
| ~ rr(U_38,U_33) )
| ( ~ cc(sK9(U_38))
& rr(U_38,sK9(U_38)) )
| ( ~ ca_Vx5(sK8(U_38))
& rp(U_38,sK8(U_38)) )
| ( ~ ca_Vx3(sK7(U_38))
& rp(U_38,sK7(U_38)) ) )
& ! [U_37] :
( ( ! [U_29] :
( ca_Vx4(U_29)
| ~ rp(U_37,U_29) )
& cowlThing(sK6(U_37))
& rp(U_37,sK6(U_37))
& cowlThing(sK5(U_37))
& rr(U_37,sK5(U_37))
& ! [U_26] :
( cc(U_26)
| ~ rr(U_37,U_26) )
& ! [U_25] :
( ca_Vx5(U_25)
| ~ rp(U_37,U_25) )
& ! [U_24] :
( ca_Vx3(U_24)
| ~ rp(U_37,U_24) ) )
| ~ ca_Ax2(U_37) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_35,sK10(U_38))],[f_8_8]) ).
fof(f_8_10,plain,
( ! [U_38] :
( ~ ca_Vx4(sK10(U_38))
| ~ sP6(U_38) )
& ! [U_38] :
( rp(U_38,sK10(U_38))
| ~ sP6(U_38) )
& ! [U_38] :
( ~ cc(sK9(U_38))
| ~ sP5(U_38) )
& ! [U_38] :
( rr(U_38,sK9(U_38))
| ~ sP5(U_38) )
& ! [U_38] :
( ~ ca_Vx5(sK8(U_38))
| ~ sP4(U_38) )
& ! [U_38] :
( rp(U_38,sK8(U_38))
| ~ sP4(U_38) )
& ! [U_38] :
( ~ ca_Vx3(sK7(U_38))
| ~ sP3(U_38) )
& ! [U_38] :
( rp(U_38,sK7(U_38))
| ~ sP3(U_38) )
& ! [U_26,U_37,U_24,U_29,U_25] :
( ca_Vx4(U_29)
| ~ rp(U_37,U_29)
| ~ sP2(U_26,U_37,U_24,U_29,U_25) )
& ! [U_26,U_37,U_24,U_29,U_25] :
( cowlThing(sK6(U_37))
| ~ sP2(U_26,U_37,U_24,U_29,U_25) )
& ! [U_26,U_37,U_24,U_29,U_25] :
( rp(U_37,sK6(U_37))
| ~ sP2(U_26,U_37,U_24,U_29,U_25) )
& ! [U_26,U_37,U_24,U_29,U_25] :
( cowlThing(sK5(U_37))
| ~ sP2(U_26,U_37,U_24,U_29,U_25) )
& ! [U_26,U_37,U_24,U_29,U_25] :
( rr(U_37,sK5(U_37))
| ~ sP2(U_26,U_37,U_24,U_29,U_25) )
& ! [U_26,U_37,U_24,U_29,U_25] :
( cc(U_26)
| ~ rr(U_37,U_26)
| ~ sP2(U_26,U_37,U_24,U_29,U_25) )
& ! [U_26,U_37,U_24,U_29,U_25] :
( ca_Vx5(U_25)
| ~ rp(U_37,U_25)
| ~ sP2(U_26,U_37,U_24,U_29,U_25) )
& ! [U_26,U_37,U_24,U_29,U_25] :
( ca_Vx3(U_24)
| ~ rp(U_37,U_24)
| ~ sP2(U_26,U_37,U_24,U_29,U_25) )
& ! [U_33,U_34,U_38] :
( ca_Ax2(U_38)
| sP6(U_38)
| ~ cowlThing(U_34)
| ~ rp(U_38,U_34)
| ~ cowlThing(U_33)
| ~ rr(U_38,U_33)
| sP5(U_38)
| sP4(U_38)
| sP3(U_38) )
& ! [U_26,U_37,U_24,U_29,U_25] :
( sP2(U_26,U_37,U_24,U_29,U_25)
| ~ ca_Ax2(U_37) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2,sP3,sP4,sP5,sP6])],[f_8_9]) ).
cnf(f_8_11,plain,
( sP2(U_26,U_37,U_24,U_29,U_25)
| ~ ca_Ax2(U_37) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_12,plain,
( ca_Ax2(U_38)
| sP6(U_38)
| ~ cowlThing(U_34)
| ~ rp(U_38,U_34)
| ~ cowlThing(U_33)
| ~ rr(U_38,U_33)
| sP5(U_38)
| sP4(U_38)
| sP3(U_38) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_13,plain,
( ca_Vx3(U_24)
| ~ rp(U_37,U_24)
| ~ sP2(U_26,U_37,U_24,U_29,U_25) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_14,plain,
( ca_Vx5(U_25)
| ~ rp(U_37,U_25)
| ~ sP2(U_26,U_37,U_24,U_29,U_25) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_15,plain,
( cc(U_26)
| ~ rr(U_37,U_26)
| ~ sP2(U_26,U_37,U_24,U_29,U_25) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_16,plain,
( rr(U_37,sK5(U_37))
| ~ sP2(U_26,U_37,U_24,U_29,U_25) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_17,plain,
( cowlThing(sK5(U_37))
| ~ sP2(U_26,U_37,U_24,U_29,U_25) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_18,plain,
( rp(U_37,sK6(U_37))
| ~ sP2(U_26,U_37,U_24,U_29,U_25) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_19,plain,
( cowlThing(sK6(U_37))
| ~ sP2(U_26,U_37,U_24,U_29,U_25) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_20,plain,
( ca_Vx4(U_29)
| ~ rp(U_37,U_29)
| ~ sP2(U_26,U_37,U_24,U_29,U_25) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_21,plain,
( rp(U_38,sK7(U_38))
| ~ sP3(U_38) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_22,plain,
( ~ ca_Vx3(sK7(U_38))
| ~ sP3(U_38) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_23,plain,
( rp(U_38,sK8(U_38))
| ~ sP4(U_38) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_24,plain,
( ~ ca_Vx5(sK8(U_38))
| ~ sP4(U_38) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_25,plain,
( rr(U_38,sK9(U_38))
| ~ sP5(U_38) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_26,plain,
( ~ cc(sK9(U_38))
| ~ sP5(U_38) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_27,plain,
( rp(U_38,sK10(U_38))
| ~ sP6(U_38) ),
inference(clausify,[status(thm)],[f_8_10]) ).
cnf(f_8_28,plain,
( ~ ca_Vx4(sK10(U_38))
| ~ sP6(U_38) ),
inference(clausify,[status(thm)],[f_8_10]) ).
fof(f_9_1,plain,
! [X] :
( ( ca_Vx3(X)
| ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) ) )
& ( ? [Y] :
( cowlThing(Y)
& rr(X,Y) )
| ~ ca_Vx3(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_9_2,plain,
! [U_41] :
( ( ca_Vx3(U_41)
| ! [U_40] :
( ~ cowlThing(U_40)
| ~ rr(U_41,U_40) ) )
& ( ? [U_39] :
( cowlThing(U_39)
& rr(U_41,U_39) )
| ~ ca_Vx3(U_41) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_43] :
( ca_Vx3(U_43)
| ! [U_40] :
( ~ cowlThing(U_40)
| ~ rr(U_43,U_40) ) )
& ! [U_42] :
( ? [U_39] :
( cowlThing(U_39)
& rr(U_42,U_39) )
| ~ ca_Vx3(U_42) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
fof(f_9_4,plain,
( ! [U_43] :
( ca_Vx3(U_43)
| ! [U_40] :
( ~ cowlThing(U_40)
| ~ rr(U_43,U_40) ) )
& ! [U_42] :
( ( cowlThing(sK11(U_42))
& rr(U_42,sK11(U_42)) )
| ~ ca_Vx3(U_42) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_39,sK11(U_42))],[f_9_3]) ).
fof(f_9_5,plain,
( ! [U_42] :
( cowlThing(sK11(U_42))
| ~ sP7(U_42) )
& ! [U_42] :
( rr(U_42,sK11(U_42))
| ~ sP7(U_42) )
& ! [U_43,U_40] :
( ca_Vx3(U_43)
| ~ cowlThing(U_40)
| ~ rr(U_43,U_40) )
& ! [U_42] :
( sP7(U_42)
| ~ ca_Vx3(U_42) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP7])],[f_9_4]) ).
cnf(f_9_6,plain,
( sP7(U_42)
| ~ ca_Vx3(U_42) ),
inference(clausify,[status(thm)],[f_9_5]) ).
cnf(f_9_7,plain,
( ca_Vx3(U_43)
| ~ cowlThing(U_40)
| ~ rr(U_43,U_40) ),
inference(clausify,[status(thm)],[f_9_5]) ).
cnf(f_9_8,plain,
( rr(U_42,sK11(U_42))
| ~ sP7(U_42) ),
inference(clausify,[status(thm)],[f_9_5]) ).
cnf(f_9_9,plain,
( cowlThing(sK11(U_42))
| ~ sP7(U_42) ),
inference(clausify,[status(thm)],[f_9_5]) ).
fof(f_10_1,plain,
! [X] :
( ( ca_Vx4(X)
| ! [Y] :
( ~ cowlThing(Y)
| ~ rp(X,Y) ) )
& ( ? [Y] :
( cowlThing(Y)
& rp(X,Y) )
| ~ ca_Vx4(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_10_2,plain,
! [U_46] :
( ( ca_Vx4(U_46)
| ! [U_45] :
( ~ cowlThing(U_45)
| ~ rp(U_46,U_45) ) )
& ( ? [U_44] :
( cowlThing(U_44)
& rp(U_46,U_44) )
| ~ ca_Vx4(U_46) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_48] :
( ca_Vx4(U_48)
| ! [U_45] :
( ~ cowlThing(U_45)
| ~ rp(U_48,U_45) ) )
& ! [U_47] :
( ? [U_44] :
( cowlThing(U_44)
& rp(U_47,U_44) )
| ~ ca_Vx4(U_47) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
fof(f_10_4,plain,
( ! [U_48] :
( ca_Vx4(U_48)
| ! [U_45] :
( ~ cowlThing(U_45)
| ~ rp(U_48,U_45) ) )
& ! [U_47] :
( ( cowlThing(sK12(U_47))
& rp(U_47,sK12(U_47)) )
| ~ ca_Vx4(U_47) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_44,sK12(U_47))],[f_10_3]) ).
fof(f_10_5,plain,
( ! [U_47] :
( cowlThing(sK12(U_47))
| ~ sP8(U_47) )
& ! [U_47] :
( rp(U_47,sK12(U_47))
| ~ sP8(U_47) )
& ! [U_48,U_45] :
( ca_Vx4(U_48)
| ~ cowlThing(U_45)
| ~ rp(U_48,U_45) )
& ! [U_47] :
( sP8(U_47)
| ~ ca_Vx4(U_47) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP8])],[f_10_4]) ).
cnf(f_10_6,plain,
( sP8(U_47)
| ~ ca_Vx4(U_47) ),
inference(clausify,[status(thm)],[f_10_5]) ).
cnf(f_10_7,plain,
( ca_Vx4(U_48)
| ~ cowlThing(U_45)
| ~ rp(U_48,U_45) ),
inference(clausify,[status(thm)],[f_10_5]) ).
cnf(f_10_8,plain,
( rp(U_47,sK12(U_47))
| ~ sP8(U_47) ),
inference(clausify,[status(thm)],[f_10_5]) ).
cnf(f_10_9,plain,
( cowlThing(sK12(U_47))
| ~ sP8(U_47) ),
inference(clausify,[status(thm)],[f_10_5]) ).
fof(f_11_1,plain,
! [X] :
( ( ca_Vx5(X)
| ? [Y] :
( ~ cc(Y)
& rr(X,Y) ) )
& ( ! [Y] :
( cc(Y)
| ~ rr(X,Y) )
| ~ ca_Vx5(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_11_2,plain,
! [U_51] :
( ( ca_Vx5(U_51)
| ? [U_50] :
( ~ cc(U_50)
& rr(U_51,U_50) ) )
& ( ! [U_49] :
( cc(U_49)
| ~ rr(U_51,U_49) )
| ~ ca_Vx5(U_51) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_53] :
( ca_Vx5(U_53)
| ? [U_50] :
( ~ cc(U_50)
& rr(U_53,U_50) ) )
& ! [U_52] :
( ! [U_49] :
( cc(U_49)
| ~ rr(U_52,U_49) )
| ~ ca_Vx5(U_52) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
fof(f_11_4,plain,
( ! [U_53] :
( ca_Vx5(U_53)
| ( ~ cc(sK13(U_53))
& rr(U_53,sK13(U_53)) ) )
& ! [U_52] :
( ! [U_49] :
( cc(U_49)
| ~ rr(U_52,U_49) )
| ~ ca_Vx5(U_52) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_50,sK13(U_53))],[f_11_3]) ).
fof(f_11_5,plain,
( ! [U_53] :
( ~ cc(sK13(U_53))
| ~ sP9(U_53) )
& ! [U_53] :
( rr(U_53,sK13(U_53))
| ~ sP9(U_53) )
& ! [U_53] :
( ca_Vx5(U_53)
| sP9(U_53) )
& ! [U_52,U_49] :
( cc(U_49)
| ~ rr(U_52,U_49)
| ~ ca_Vx5(U_52) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP9])],[f_11_4]) ).
cnf(f_11_6,plain,
( cc(U_49)
| ~ rr(U_52,U_49)
| ~ ca_Vx5(U_52) ),
inference(clausify,[status(thm)],[f_11_5]) ).
cnf(f_11_7,plain,
( ca_Vx5(U_53)
| sP9(U_53) ),
inference(clausify,[status(thm)],[f_11_5]) ).
cnf(f_11_8,plain,
( rr(U_53,sK13(U_53))
| ~ sP9(U_53) ),
inference(clausify,[status(thm)],[f_11_5]) ).
cnf(f_11_9,plain,
( ~ cc(sK13(U_53))
| ~ sP9(U_53) ),
inference(clausify,[status(thm)],[f_11_5]) ).
fof(f_12_1,plain,
! [X] :
( ( ca_Vx6(X)
| ? [Y] :
( ~ caxcomp(Y)
& rinvS(X,Y) ) )
& ( ! [Y] :
( caxcomp(Y)
| ~ rinvS(X,Y) )
| ~ ca_Vx6(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_12_2,plain,
! [U_56] :
( ( ca_Vx6(U_56)
| ? [U_55] :
( ~ caxcomp(U_55)
& rinvS(U_56,U_55) ) )
& ( ! [U_54] :
( caxcomp(U_54)
| ~ rinvS(U_56,U_54) )
| ~ ca_Vx6(U_56) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_58] :
( ca_Vx6(U_58)
| ? [U_55] :
( ~ caxcomp(U_55)
& rinvS(U_58,U_55) ) )
& ! [U_57] :
( ! [U_54] :
( caxcomp(U_54)
| ~ rinvS(U_57,U_54) )
| ~ ca_Vx6(U_57) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
fof(f_12_4,plain,
( ! [U_58] :
( ca_Vx6(U_58)
| ( ~ caxcomp(sK14(U_58))
& rinvS(U_58,sK14(U_58)) ) )
& ! [U_57] :
( ! [U_54] :
( caxcomp(U_54)
| ~ rinvS(U_57,U_54) )
| ~ ca_Vx6(U_57) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_55,sK14(U_58))],[f_12_3]) ).
fof(f_12_5,plain,
( ! [U_58] :
( ~ caxcomp(sK14(U_58))
| ~ sP10(U_58) )
& ! [U_58] :
( rinvS(U_58,sK14(U_58))
| ~ sP10(U_58) )
& ! [U_58] :
( ca_Vx6(U_58)
| sP10(U_58) )
& ! [U_57,U_54] :
( caxcomp(U_54)
| ~ rinvS(U_57,U_54)
| ~ ca_Vx6(U_57) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP10])],[f_12_4]) ).
cnf(f_12_6,plain,
( caxcomp(U_54)
| ~ rinvS(U_57,U_54)
| ~ ca_Vx6(U_57) ),
inference(clausify,[status(thm)],[f_12_5]) ).
cnf(f_12_7,plain,
( ca_Vx6(U_58)
| sP10(U_58) ),
inference(clausify,[status(thm)],[f_12_5]) ).
cnf(f_12_8,plain,
( rinvS(U_58,sK14(U_58))
| ~ sP10(U_58) ),
inference(clausify,[status(thm)],[f_12_5]) ).
cnf(f_12_9,plain,
( ~ caxcomp(sK14(U_58))
| ~ sP10(U_58) ),
inference(clausify,[status(thm)],[f_12_5]) ).
fof(f_13_1,plain,
! [X] :
( ( ca_Vx7(X)
| ? [Y] :
( ~ ca_Vx6(Y)
& rinvP(X,Y) ) )
& ( ! [Y] :
( ca_Vx6(Y)
| ~ rinvP(X,Y) )
| ~ ca_Vx7(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
fof(f_13_2,plain,
! [U_61] :
( ( ca_Vx7(U_61)
| ? [U_60] :
( ~ ca_Vx6(U_60)
& rinvP(U_61,U_60) ) )
& ( ! [U_59] :
( ca_Vx6(U_59)
| ~ rinvP(U_61,U_59) )
| ~ ca_Vx7(U_61) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_63] :
( ca_Vx7(U_63)
| ? [U_60] :
( ~ ca_Vx6(U_60)
& rinvP(U_63,U_60) ) )
& ! [U_62] :
( ! [U_59] :
( ca_Vx6(U_59)
| ~ rinvP(U_62,U_59) )
| ~ ca_Vx7(U_62) ) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
fof(f_13_4,plain,
( ! [U_63] :
( ca_Vx7(U_63)
| ( ~ ca_Vx6(sK15(U_63))
& rinvP(U_63,sK15(U_63)) ) )
& ! [U_62] :
( ! [U_59] :
( ca_Vx6(U_59)
| ~ rinvP(U_62,U_59) )
| ~ ca_Vx7(U_62) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_60,sK15(U_63))],[f_13_3]) ).
fof(f_13_5,plain,
( ! [U_63] :
( ~ ca_Vx6(sK15(U_63))
| ~ sP11(U_63) )
& ! [U_63] :
( rinvP(U_63,sK15(U_63))
| ~ sP11(U_63) )
& ! [U_63] :
( ca_Vx7(U_63)
| sP11(U_63) )
& ! [U_62,U_59] :
( ca_Vx6(U_59)
| ~ rinvP(U_62,U_59)
| ~ ca_Vx7(U_62) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP11])],[f_13_4]) ).
cnf(f_13_6,plain,
( ca_Vx6(U_59)
| ~ rinvP(U_62,U_59)
| ~ ca_Vx7(U_62) ),
inference(clausify,[status(thm)],[f_13_5]) ).
cnf(f_13_7,plain,
( ca_Vx7(U_63)
| sP11(U_63) ),
inference(clausify,[status(thm)],[f_13_5]) ).
cnf(f_13_8,plain,
( rinvP(U_63,sK15(U_63))
| ~ sP11(U_63) ),
inference(clausify,[status(thm)],[f_13_5]) ).
cnf(f_13_9,plain,
( ~ ca_Vx6(sK15(U_63))
| ~ sP11(U_63) ),
inference(clausify,[status(thm)],[f_13_5]) ).
fof(f_14_1,plain,
! [X,Y] :
( ( rinvP(X,Y)
| ~ rp(Y,X) )
& ( rp(Y,X)
| ~ rinvP(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
fof(f_14_2,plain,
! [U_65,U_64] :
( ( rinvP(U_65,U_64)
| ~ rp(U_64,U_65) )
& ( rp(U_64,U_65)
| ~ rinvP(U_65,U_64) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_69,U_67] :
( rinvP(U_69,U_67)
| ~ rp(U_67,U_69) )
& ! [U_68,U_66] :
( rp(U_66,U_68)
| ~ rinvP(U_68,U_66) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
fof(f_14_4,plain,
( ! [U_69,U_67] :
( rinvP(U_69,U_67)
| ~ rp(U_67,U_69) )
& ! [U_68,U_66] :
( rp(U_66,U_68)
| ~ rinvP(U_68,U_66) ) ),
inference(definitional_conversion,[status(esa)],[f_14_3]) ).
cnf(f_14_5,plain,
( rp(U_66,U_68)
| ~ rinvP(U_68,U_66) ),
inference(clausify,[status(thm)],[f_14_4]) ).
cnf(f_14_6,plain,
( rinvP(U_69,U_67)
| ~ rp(U_67,U_69) ),
inference(clausify,[status(thm)],[f_14_4]) ).
fof(f_15_1,plain,
! [X,Y] :
( ( rinvR(X,Y)
| ~ rr(Y,X) )
& ( rr(Y,X)
| ~ rinvR(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
fof(f_15_2,plain,
! [U_71,U_70] :
( ( rinvR(U_71,U_70)
| ~ rr(U_70,U_71) )
& ( rr(U_70,U_71)
| ~ rinvR(U_71,U_70) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_75,U_73] :
( rinvR(U_75,U_73)
| ~ rr(U_73,U_75) )
& ! [U_74,U_72] :
( rr(U_72,U_74)
| ~ rinvR(U_74,U_72) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
( ! [U_75,U_73] :
( rinvR(U_75,U_73)
| ~ rr(U_73,U_75) )
& ! [U_72,U_74] :
( rr(U_72,U_74)
| ~ rinvR(U_74,U_72) ) ),
inference(definitional_conversion,[status(esa)],[f_15_3]) ).
cnf(f_15_5,plain,
( rr(U_72,U_74)
| ~ rinvR(U_74,U_72) ),
inference(clausify,[status(thm)],[f_15_4]) ).
cnf(f_15_6,plain,
( rinvR(U_75,U_73)
| ~ rr(U_73,U_75) ),
inference(clausify,[status(thm)],[f_15_4]) ).
fof(f_16_1,plain,
! [X,Y] :
( ( rinvS(X,Y)
| ~ rs(Y,X) )
& ( rs(Y,X)
| ~ rinvS(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_15]) ).
fof(f_16_2,plain,
! [U_77,U_76] :
( ( rinvS(U_77,U_76)
| ~ rs(U_76,U_77) )
& ( rs(U_76,U_77)
| ~ rinvS(U_77,U_76) ) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
( ! [U_81,U_79] :
( rinvS(U_81,U_79)
| ~ rs(U_79,U_81) )
& ! [U_80,U_78] :
( rs(U_78,U_80)
| ~ rinvS(U_80,U_78) ) ),
inference(miniscope,[status(thm)],[f_16_2]) ).
fof(f_16_4,plain,
( ! [U_79,U_81] :
( rinvS(U_81,U_79)
| ~ rs(U_79,U_81) )
& ! [U_78,U_80] :
( rs(U_78,U_80)
| ~ rinvS(U_80,U_78) ) ),
inference(definitional_conversion,[status(esa)],[f_16_3]) ).
cnf(f_16_5,plain,
( rs(U_78,U_80)
| ~ rinvS(U_80,U_78) ),
inference(clausify,[status(thm)],[f_16_4]) ).
cnf(f_16_6,plain,
( rinvS(U_81,U_79)
| ~ rs(U_79,U_81) ),
inference(clausify,[status(thm)],[f_16_4]) ).
fof(f_17_1,plain,
! [X,Y,Z] :
( rp(X,Z)
| ~ rp(Y,Z)
| ~ rp(X,Y) ),
inference(fof_nnf,[status(thm)],[axiom_16]) ).
fof(f_17_2,plain,
! [U_84,U_83,U_82] :
( rp(U_84,U_82)
| ~ rp(U_83,U_82)
| ~ rp(U_84,U_83) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_84,U_82,U_83] :
( rp(U_84,U_82)
| ~ rp(U_83,U_82)
| ~ rp(U_84,U_83) ),
inference(definitional_conversion,[status(esa)],[f_17_2]) ).
cnf(f_17_4,plain,
( rp(U_84,U_82)
| ~ rp(U_83,U_82)
| ~ rp(U_84,U_83) ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(fof_nnf,[status(thm)],[axiom_17]) ).
fof(f_18_2,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(definitional_conversion,[status(esa)],[f_18_1]) ).
cnf(f_18_3,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS116+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
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 19 12:13:28 UTC 2026
% 0.09/0.37 % CPUTime :
% 25.05/25.35 % SZS status Unsatisfiable for theBenchmark
% 25.05/25.35 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------