%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS132+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:47:20 AM UTC 2026
% Result : Theorem 0.45s 0.76s
% Output : Proof 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 184 ( 58 unt; 0 def)
% Number of atoms : 579 ( 0 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 659 ( 264 ~; 253 |; 125 &)
% ( 12 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-1 aty)
% Number of variables : 179 ( 3 sgn 99 !; 52 ?)
% 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] :
( cA(X)
<=> ? [Y] :
( cowlThing(Y)
& rq(X,Y) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cAorB(X)
<=> ? [Y] :
( cowlThing(Y)
& rs(X,Y) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cB(X)
<=> ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cNothing(X)
=> ? [Y0] : rp(X,Y0) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cNothing(X)
=> ~ ? [Y] : rp(X,Y) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( cnotA(X)
<=> ! [Y] :
( rq(X,Y)
=> cNothing(Y) ) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( cnotAorB(X)
<=> ! [Y] :
( rs(X,Y)
=> cNothing(Y) ) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( cnotAorB(X)
<=> ( cnotA(X)
& cnotB(X) ) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X] :
( cnotB(X)
<=> ! [Y] :
( rr(X,Y)
=> cNothing(Y) ) ),
file('theBenchmark.p',axiom_10) ).
fof(the_axiom,conjecture,
( ! [X] :
( cAorB(X)
<=> ( cA(X)
| cB(X) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('theBenchmark.p',the_axiom) ).
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]) ).
cnf(f_1_4,plain,
cowlThing(U_1),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,plain,
~ cowlNothing(U_2),
inference(clausify,[status(thm)],[f_1_3]) ).
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]) ).
cnf(f_2_4,plain,
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_5,plain,
( xsd_string(U_5)
| xsd_integer(U_5) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [X] :
( ( cA(X)
| ! [Y] :
( ~ cowlThing(Y)
| ~ rq(X,Y) ) )
& ( ? [Y] :
( cowlThing(Y)
& rq(X,Y) )
| ~ cA(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_8] :
( ( cA(U_8)
| ! [U_7] :
( ~ cowlThing(U_7)
| ~ rq(U_8,U_7) ) )
& ( ? [U_6] :
( cowlThing(U_6)
& rq(U_8,U_6) )
| ~ cA(U_8) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_10] :
( cA(U_10)
| ! [U_7] :
( ~ cowlThing(U_7)
| ~ rq(U_10,U_7) ) )
& ! [U_9] :
( ? [U_6] :
( cowlThing(U_6)
& rq(U_9,U_6) )
| ~ cA(U_9) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
( ! [U_10] :
( cA(U_10)
| ! [U_7] :
( ~ cowlThing(U_7)
| ~ rq(U_10,U_7) ) )
& ! [U_9] :
( ( cowlThing(sK1(U_9))
& rq(U_9,sK1(U_9)) )
| ~ cA(U_9) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_6,sK1(U_9))],[f_3_3]) ).
cnf(f_3_5,plain,
( rq(U_9,sK1(U_9))
| ~ cA(U_9) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_7,plain,
( cA(U_10)
| ~ cowlThing(U_7)
| ~ rq(U_10,U_7) ),
inference(clausify,[status(thm)],[f_3_4]) ).
fof(f_4_1,plain,
! [X] :
( ( cAorB(X)
| ! [Y] :
( ~ cowlThing(Y)
| ~ rs(X,Y) ) )
& ( ? [Y] :
( cowlThing(Y)
& rs(X,Y) )
| ~ cAorB(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_4_2,plain,
! [U_13] :
( ( cAorB(U_13)
| ! [U_12] :
( ~ cowlThing(U_12)
| ~ rs(U_13,U_12) ) )
& ( ? [U_11] :
( cowlThing(U_11)
& rs(U_13,U_11) )
| ~ cAorB(U_13) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_15] :
( cAorB(U_15)
| ! [U_12] :
( ~ cowlThing(U_12)
| ~ rs(U_15,U_12) ) )
& ! [U_14] :
( ? [U_11] :
( cowlThing(U_11)
& rs(U_14,U_11) )
| ~ cAorB(U_14) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ! [U_15] :
( cAorB(U_15)
| ! [U_12] :
( ~ cowlThing(U_12)
| ~ rs(U_15,U_12) ) )
& ! [U_14] :
( ( cowlThing(sK2(U_14))
& rs(U_14,sK2(U_14)) )
| ~ cAorB(U_14) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_11,sK2(U_14))],[f_4_3]) ).
cnf(f_4_5,plain,
( rs(U_14,sK2(U_14))
| ~ cAorB(U_14) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_7,plain,
( cAorB(U_15)
| ~ cowlThing(U_12)
| ~ rs(U_15,U_12) ),
inference(clausify,[status(thm)],[f_4_4]) ).
fof(f_5_1,plain,
! [X] :
( ( cB(X)
| ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) ) )
& ( ? [Y] :
( cowlThing(Y)
& rr(X,Y) )
| ~ cB(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_18] :
( ( cB(U_18)
| ! [U_17] :
( ~ cowlThing(U_17)
| ~ rr(U_18,U_17) ) )
& ( ? [U_16] :
( cowlThing(U_16)
& rr(U_18,U_16) )
| ~ cB(U_18) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_20] :
( cB(U_20)
| ! [U_17] :
( ~ cowlThing(U_17)
| ~ rr(U_20,U_17) ) )
& ! [U_19] :
( ? [U_16] :
( cowlThing(U_16)
& rr(U_19,U_16) )
| ~ cB(U_19) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_20] :
( cB(U_20)
| ! [U_17] :
( ~ cowlThing(U_17)
| ~ rr(U_20,U_17) ) )
& ! [U_19] :
( ( cowlThing(sK3(U_19))
& rr(U_19,sK3(U_19)) )
| ~ cB(U_19) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_16,sK3(U_19))],[f_5_3]) ).
cnf(f_5_5,plain,
( rr(U_19,sK3(U_19))
| ~ cB(U_19) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_7,plain,
( cB(U_20)
| ~ cowlThing(U_17)
| ~ rr(U_20,U_17) ),
inference(clausify,[status(thm)],[f_5_4]) ).
fof(f_6_1,plain,
! [X] :
( ? [Y0] : rp(X,Y0)
| ~ cNothing(X) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
! [U_22] :
( ? [U_21] : rp(U_22,U_21)
| ~ cNothing(U_22) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_22] :
( rp(U_22,sK4(U_22))
| ~ cNothing(U_22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_21,sK4(U_22))],[f_6_2]) ).
cnf(f_6_4,plain,
( rp(U_22,sK4(U_22))
| ~ cNothing(U_22) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [X] :
( ! [Y] : ~ rp(X,Y)
| ~ cNothing(X) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_7_2,plain,
! [U_24] :
( ! [U_23] : ~ rp(U_24,U_23)
| ~ cNothing(U_24) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( ~ rp(U_24,U_23)
| ~ cNothing(U_24) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [X] :
( ( cnotA(X)
| ? [Y] :
( ~ cNothing(Y)
& rq(X,Y) ) )
& ( ! [Y] :
( cNothing(Y)
| ~ rq(X,Y) )
| ~ cnotA(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_8_2,plain,
! [U_27] :
( ( cnotA(U_27)
| ? [U_26] :
( ~ cNothing(U_26)
& rq(U_27,U_26) ) )
& ( ! [U_25] :
( cNothing(U_25)
| ~ rq(U_27,U_25) )
| ~ cnotA(U_27) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_29] :
( cnotA(U_29)
| ? [U_26] :
( ~ cNothing(U_26)
& rq(U_29,U_26) ) )
& ! [U_28] :
( ! [U_25] :
( cNothing(U_25)
| ~ rq(U_28,U_25) )
| ~ cnotA(U_28) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_29] :
( cnotA(U_29)
| ( ~ cNothing(sK5(U_29))
& rq(U_29,sK5(U_29)) ) )
& ! [U_28] :
( ! [U_25] :
( cNothing(U_25)
| ~ rq(U_28,U_25) )
| ~ cnotA(U_28) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_26,sK5(U_29))],[f_8_3]) ).
cnf(f_8_5,plain,
( cNothing(U_25)
| ~ rq(U_28,U_25)
| ~ cnotA(U_28) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_6,plain,
( rq(U_29,sK5(U_29))
| cnotA(U_29) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_9_1,plain,
! [X] :
( ( cnotAorB(X)
| ? [Y] :
( ~ cNothing(Y)
& rs(X,Y) ) )
& ( ! [Y] :
( cNothing(Y)
| ~ rs(X,Y) )
| ~ cnotAorB(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_9_2,plain,
! [U_32] :
( ( cnotAorB(U_32)
| ? [U_31] :
( ~ cNothing(U_31)
& rs(U_32,U_31) ) )
& ( ! [U_30] :
( cNothing(U_30)
| ~ rs(U_32,U_30) )
| ~ cnotAorB(U_32) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_34] :
( cnotAorB(U_34)
| ? [U_31] :
( ~ cNothing(U_31)
& rs(U_34,U_31) ) )
& ! [U_33] :
( ! [U_30] :
( cNothing(U_30)
| ~ rs(U_33,U_30) )
| ~ cnotAorB(U_33) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
fof(f_9_4,plain,
( ! [U_34] :
( cnotAorB(U_34)
| ( ~ cNothing(sK6(U_34))
& rs(U_34,sK6(U_34)) ) )
& ! [U_33] :
( ! [U_30] :
( cNothing(U_30)
| ~ rs(U_33,U_30) )
| ~ cnotAorB(U_33) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_31,sK6(U_34))],[f_9_3]) ).
cnf(f_9_5,plain,
( cNothing(U_30)
| ~ rs(U_33,U_30)
| ~ cnotAorB(U_33) ),
inference(clausify,[status(thm)],[f_9_4]) ).
cnf(f_9_6,plain,
( rs(U_34,sK6(U_34))
| cnotAorB(U_34) ),
inference(clausify,[status(thm)],[f_9_4]) ).
fof(f_10_1,plain,
! [X] :
( ( cnotAorB(X)
| ~ cnotA(X)
| ~ cnotB(X) )
& ( ( cnotA(X)
& cnotB(X) )
| ~ cnotAorB(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_10_2,plain,
! [U_35] :
( ( cnotAorB(U_35)
| ~ cnotA(U_35)
| ~ cnotB(U_35) )
& ( ( cnotA(U_35)
& cnotB(U_35) )
| ~ cnotAorB(U_35) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_37] :
( cnotAorB(U_37)
| ~ cnotA(U_37)
| ~ cnotB(U_37) )
& ! [U_36] :
( ( cnotA(U_36)
& cnotB(U_36) )
| ~ cnotAorB(U_36) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( cnotB(U_36)
| ~ cnotAorB(U_36) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_5,plain,
( cnotA(U_36)
| ~ cnotAorB(U_36) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_6,plain,
( cnotAorB(U_37)
| ~ cnotA(U_37)
| ~ cnotB(U_37) ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [X] :
( ( cnotB(X)
| ? [Y] :
( ~ cNothing(Y)
& rr(X,Y) ) )
& ( ! [Y] :
( cNothing(Y)
| ~ rr(X,Y) )
| ~ cnotB(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_11_2,plain,
! [U_40] :
( ( cnotB(U_40)
| ? [U_39] :
( ~ cNothing(U_39)
& rr(U_40,U_39) ) )
& ( ! [U_38] :
( cNothing(U_38)
| ~ rr(U_40,U_38) )
| ~ cnotB(U_40) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_42] :
( cnotB(U_42)
| ? [U_39] :
( ~ cNothing(U_39)
& rr(U_42,U_39) ) )
& ! [U_41] :
( ! [U_38] :
( cNothing(U_38)
| ~ rr(U_41,U_38) )
| ~ cnotB(U_41) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
fof(f_11_4,plain,
( ! [U_42] :
( cnotB(U_42)
| ( ~ cNothing(sK7(U_42))
& rr(U_42,sK7(U_42)) ) )
& ! [U_41] :
( ! [U_38] :
( cNothing(U_38)
| ~ rr(U_41,U_38) )
| ~ cnotB(U_41) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_39,sK7(U_42))],[f_11_3]) ).
cnf(f_11_5,plain,
( cNothing(U_38)
| ~ rr(U_41,U_38)
| ~ cnotB(U_41) ),
inference(clausify,[status(thm)],[f_11_4]) ).
cnf(f_11_6,plain,
( rr(U_42,sK7(U_42))
| cnotB(U_42) ),
inference(clausify,[status(thm)],[f_11_4]) ).
fof(f_12_1,negated_conjecture,
~ ( ! [X] :
( cAorB(X)
<=> ( cA(X)
| cB(X) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_12_2,negated_conjecture,
( ? [X] :
( ( ~ cAorB(X)
& ( cA(X)
| cB(X) ) )
| ( ~ cA(X)
& ~ cB(X)
& cAorB(X) ) )
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_12_1]) ).
fof(f_12_3,negated_conjecture,
( ? [U_45] :
( ( ~ cAorB(U_45)
& ( cA(U_45)
| cB(U_45) ) )
| ( ~ cA(U_45)
& ~ cB(U_45)
& cAorB(U_45) ) )
| ? [U_44] :
( ( ~ xsd_string(U_44)
& ~ xsd_integer(U_44) )
| ( xsd_integer(U_44)
& xsd_string(U_44) ) )
| ? [U_43] :
( cowlNothing(U_43)
| ~ cowlThing(U_43) ) ),
inference(variable_rename,[status(thm)],[f_12_2]) ).
fof(f_12_4,negated_conjecture,
( ? [U_51] :
( ~ cAorB(U_51)
& ( cA(U_51)
| cB(U_51) ) )
| ? [U_50] :
( ~ cA(U_50)
& ~ cB(U_50)
& cAorB(U_50) )
| ? [U_49] :
( ~ xsd_string(U_49)
& ~ xsd_integer(U_49) )
| ? [U_48] :
( xsd_integer(U_48)
& xsd_string(U_48) )
| ? [U_47] : cowlNothing(U_47)
| ? [U_46] : ~ cowlThing(U_46) ),
inference(miniscope,[status(thm)],[f_12_3]) ).
fof(f_12_5,negated_conjecture,
( ? [U_51] :
( ~ cAorB(U_51)
& ( cA(U_51)
| cB(U_51) ) )
| ? [U_50] :
( ~ cA(U_50)
& ~ cB(U_50)
& cAorB(U_50) )
| ? [U_49] :
( ~ xsd_string(U_49)
& ~ xsd_integer(U_49) )
| ? [U_48] :
( xsd_integer(U_48)
& xsd_string(U_48) )
| ? [U_47] : cowlNothing(U_47)
| ~ cowlThing(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_46,sK8)],[f_12_4]) ).
fof(f_12_6,negated_conjecture,
( ? [U_51] :
( ~ cAorB(U_51)
& ( cA(U_51)
| cB(U_51) ) )
| ? [U_50] :
( ~ cA(U_50)
& ~ cB(U_50)
& cAorB(U_50) )
| ? [U_49] :
( ~ xsd_string(U_49)
& ~ xsd_integer(U_49) )
| ? [U_48] :
( xsd_integer(U_48)
& xsd_string(U_48) )
| cowlNothing(sK9)
| ~ cowlThing(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_47,sK9)],[f_12_5]) ).
fof(f_12_7,negated_conjecture,
( ? [U_51] :
( ~ cAorB(U_51)
& ( cA(U_51)
| cB(U_51) ) )
| ? [U_50] :
( ~ cA(U_50)
& ~ cB(U_50)
& cAorB(U_50) )
| ? [U_49] :
( ~ xsd_string(U_49)
& ~ xsd_integer(U_49) )
| ( xsd_integer(sK10)
& xsd_string(sK10) )
| cowlNothing(sK9)
| ~ cowlThing(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_48,sK10)],[f_12_6]) ).
fof(f_12_8,negated_conjecture,
( ? [U_51] :
( ~ cAorB(U_51)
& ( cA(U_51)
| cB(U_51) ) )
| ? [U_50] :
( ~ cA(U_50)
& ~ cB(U_50)
& cAorB(U_50) )
| ( ~ xsd_string(sK11)
& ~ xsd_integer(sK11) )
| ( xsd_integer(sK10)
& xsd_string(sK10) )
| cowlNothing(sK9)
| ~ cowlThing(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_49,sK11)],[f_12_7]) ).
fof(f_12_9,negated_conjecture,
( ? [U_51] :
( ~ cAorB(U_51)
& ( cA(U_51)
| cB(U_51) ) )
| ( ~ cA(sK12)
& ~ cB(sK12)
& cAorB(sK12) )
| ( ~ xsd_string(sK11)
& ~ xsd_integer(sK11) )
| ( xsd_integer(sK10)
& xsd_string(sK10) )
| cowlNothing(sK9)
| ~ cowlThing(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_50,sK12)],[f_12_8]) ).
fof(f_12_10,negated_conjecture,
( ( ~ cAorB(sK13)
& ( cA(sK13)
| cB(sK13) ) )
| ( ~ cA(sK12)
& ~ cB(sK12)
& cAorB(sK12) )
| ( ~ xsd_string(sK11)
& ~ xsd_integer(sK11) )
| ( xsd_integer(sK10)
& xsd_string(sK10) )
| cowlNothing(sK9)
| ~ cowlThing(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_51,sK13)],[f_12_9]) ).
fof(f_12_11,negated_conjecture,
( ( ~ cAorB(sK13)
| ~ sP3 )
& ( cA(sK13)
| cB(sK13)
| ~ sP3 )
& ( ~ cA(sK12)
| ~ sP2 )
& ( ~ cB(sK12)
| ~ sP2 )
& ( cAorB(sK12)
| ~ sP2 )
& ( ~ xsd_string(sK11)
| ~ sP1 )
& ( ~ xsd_integer(sK11)
| ~ sP1 )
& ( xsd_integer(sK10)
| ~ sP0 )
& ( xsd_string(sK10)
| ~ sP0 )
& ( sP3
| sP2
| sP1
| sP0
| cowlNothing(sK9)
| ~ cowlThing(sK8) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3])],[f_12_10]) ).
cnf(f_12_12,negated_conjecture,
( sP3
| sP2
| sP1
| sP0
| cowlNothing(sK9)
| ~ cowlThing(sK8) ),
inference(clausify,[status(thm)],[f_12_11]) ).
cnf(f_12_13,negated_conjecture,
( xsd_string(sK10)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_12_11]) ).
cnf(f_12_14,negated_conjecture,
( xsd_integer(sK10)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_12_11]) ).
cnf(f_12_15,negated_conjecture,
( ~ xsd_integer(sK11)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_12_11]) ).
cnf(f_12_16,negated_conjecture,
( ~ xsd_string(sK11)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_12_11]) ).
cnf(f_12_17,negated_conjecture,
( cAorB(sK12)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_12_11]) ).
cnf(f_12_18,negated_conjecture,
( ~ cB(sK12)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_12_11]) ).
cnf(f_12_19,negated_conjecture,
( ~ cA(sK12)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_12_11]) ).
cnf(f_12_20,negated_conjecture,
( cA(sK13)
| cB(sK13)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_12_11]) ).
cnf(f_12_21,negated_conjecture,
( ~ cAorB(sK13)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_12_11]) ).
cnf(t1,plain,
~ cowlNothing(sK9),
inference(start,[status(thm),parent(0:0)],[f_1_5]) ).
cnf(t2,plain,
( sP3
| sP0
| sP1
| sP2
| ~ cowlThing(sK8)
| cowlNothing(sK9) ),
inference(extension,[status(thm),parent(t1:1)],[f_12_12]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
cowlThing(sK8),
inference(extension,[status(thm),parent(t2:2)],[f_1_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( cAorB(sK12)
| ~ sP2 ),
inference(extension,[status(thm),parent(t2:3)],[f_12_17]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( rs(sK12,sK2(sK12))
| ~ cAorB(sK12) ),
inference(extension,[status(thm),parent(t6:2)],[f_4_5]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( cNothing(sK2(sK12))
| ~ cnotAorB(sK12)
| ~ rs(sK12,sK2(sK12)) ),
inference(extension,[status(thm),parent(t8:2)],[f_9_5]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ cnotA(sK12)
| ~ cnotB(sK12)
| cnotAorB(sK12) ),
inference(extension,[status(thm),parent(t10:2)],[f_10_6]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( rr(sK12,sK7(sK12))
| cnotB(sK12) ),
inference(extension,[status(thm),parent(t12:2)],[f_11_6]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ cowlThing(sK7(sK12))
| cB(sK12)
| ~ rr(sK12,sK7(sK12)) ),
inference(extension,[status(thm),parent(t14:2)],[f_5_7]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
( ~ sP2
| ~ cB(sK12) ),
inference(extension,[status(thm),parent(t16:2)],[f_12_18]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
$false,
inference(reduction,[status(thm),parent(t18:2)],[t18:2,t2:3]) ).
cnf(t21,plain,
cowlThing(sK7(sK12)),
inference(extension,[status(thm),parent(t16:3)],[f_1_4]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t16:3]) ).
cnf(t23,plain,
( rq(sK12,sK5(sK12))
| cnotA(sK12) ),
inference(extension,[status(thm),parent(t12:3)],[f_8_6]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t12:3]) ).
cnf(t25,plain,
( ~ cowlThing(sK5(sK12))
| cA(sK12)
| ~ rq(sK12,sK5(sK12)) ),
inference(extension,[status(thm),parent(t23:2)],[f_3_7]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t23:2]) ).
cnf(t27,plain,
( ~ sP2
| ~ cA(sK12) ),
inference(extension,[status(thm),parent(t25:2)],[f_12_19]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t25:2]) ).
cnf(t29,plain,
$false,
inference(reduction,[status(thm),parent(t27:2)],[t27:2,t2:3]) ).
cnf(t30,plain,
cowlThing(sK5(sK12)),
inference(extension,[status(thm),parent(t25:3)],[f_1_4]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t25:3]) ).
cnf(t32,plain,
( ~ rp(sK2(sK12),sK4(sK2(sK12)))
| ~ cNothing(sK2(sK12)) ),
inference(extension,[status(thm),parent(t10:3)],[f_7_3]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t10:3]) ).
cnf(t34,plain,
( ~ cNothing(sK2(sK12))
| rp(sK2(sK12),sK4(sK2(sK12))) ),
inference(extension,[status(thm),parent(t32:2)],[f_6_4]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
$false,
inference(reduction,[status(thm),parent(t34:2)],[t34:2,t10:3]) ).
cnf(t37,plain,
( ~ xsd_string(sK11)
| ~ sP1 ),
inference(extension,[status(thm),parent(t2:4)],[f_12_16]) ).
cnf(t38,plain,
$false,
inference(connection,[status(thm),parent(t37:1)],[t37:1,t2:4]) ).
cnf(t39,plain,
( xsd_integer(sK11)
| xsd_string(sK11) ),
inference(extension,[status(thm),parent(t37:2)],[f_2_5]) ).
cnf(t40,plain,
$false,
inference(connection,[status(thm),parent(t39:1)],[t39:1,t37:2]) ).
cnf(t41,plain,
( ~ sP1
| ~ xsd_integer(sK11) ),
inference(extension,[status(thm),parent(t39:2)],[f_12_15]) ).
cnf(t42,plain,
$false,
inference(connection,[status(thm),parent(t41:1)],[t41:1,t39:2]) ).
cnf(t43,plain,
$false,
inference(reduction,[status(thm),parent(t41:2)],[t41:2,t2:4]) ).
cnf(t44,plain,
( xsd_integer(sK10)
| ~ sP0 ),
inference(extension,[status(thm),parent(t2:5)],[f_12_14]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t2:5]) ).
cnf(t46,plain,
( ~ xsd_string(sK10)
| ~ xsd_integer(sK10) ),
inference(extension,[status(thm),parent(t44:2)],[f_2_4]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
( ~ sP0
| xsd_string(sK10) ),
inference(extension,[status(thm),parent(t46:2)],[f_12_13]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
$false,
inference(reduction,[status(thm),parent(t48:2)],[t48:2,t2:5]) ).
cnf(t51,plain,
( cB(sK13)
| cA(sK13)
| ~ sP3 ),
inference(extension,[status(thm),parent(t2:6)],[f_12_20]) ).
cnf(t52,plain,
$false,
inference(connection,[status(thm),parent(t51:1)],[t51:1,t2:6]) ).
cnf(t53,plain,
( rq(sK13,sK1(sK13))
| ~ cA(sK13) ),
inference(extension,[status(thm),parent(t51:2)],[f_3_5]) ).
cnf(t54,plain,
$false,
inference(connection,[status(thm),parent(t53:1)],[t53:1,t51:2]) ).
cnf(t55,plain,
( cNothing(sK1(sK13))
| ~ cnotA(sK13)
| ~ rq(sK13,sK1(sK13)) ),
inference(extension,[status(thm),parent(t53:2)],[f_8_5]) ).
cnf(t56,plain,
$false,
inference(connection,[status(thm),parent(t55:1)],[t55:1,t53:2]) ).
cnf(t57,plain,
( ~ cnotAorB(sK13)
| cnotA(sK13) ),
inference(extension,[status(thm),parent(t55:2)],[f_10_5]) ).
cnf(t58,plain,
$false,
inference(connection,[status(thm),parent(t57:1)],[t57:1,t55:2]) ).
cnf(t59,plain,
( rs(sK13,sK6(sK13))
| cnotAorB(sK13) ),
inference(extension,[status(thm),parent(t57:2)],[f_9_6]) ).
cnf(t60,plain,
$false,
inference(connection,[status(thm),parent(t59:1)],[t59:1,t57:2]) ).
cnf(t61,plain,
( ~ cowlThing(sK6(sK13))
| cAorB(sK13)
| ~ rs(sK13,sK6(sK13)) ),
inference(extension,[status(thm),parent(t59:2)],[f_4_7]) ).
cnf(t62,plain,
$false,
inference(connection,[status(thm),parent(t61:1)],[t61:1,t59:2]) ).
cnf(t63,plain,
( ~ sP3
| ~ cAorB(sK13) ),
inference(extension,[status(thm),parent(t61:2)],[f_12_21]) ).
cnf(t64,plain,
$false,
inference(connection,[status(thm),parent(t63:1)],[t63:1,t61:2]) ).
cnf(t65,plain,
$false,
inference(reduction,[status(thm),parent(t63:2)],[t63:2,t2:6]) ).
cnf(t66,plain,
cowlThing(sK6(sK13)),
inference(extension,[status(thm),parent(t61:3)],[f_1_4]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t61:3]) ).
cnf(t68,plain,
( ~ rp(sK1(sK13),sK4(sK1(sK13)))
| ~ cNothing(sK1(sK13)) ),
inference(extension,[status(thm),parent(t55:3)],[f_7_3]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t55:3]) ).
cnf(t70,plain,
( ~ cNothing(sK1(sK13))
| rp(sK1(sK13),sK4(sK1(sK13))) ),
inference(extension,[status(thm),parent(t68:2)],[f_6_4]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t68:2]) ).
cnf(t72,plain,
$false,
inference(reduction,[status(thm),parent(t70:2)],[t70:2,t55:3]) ).
cnf(t73,plain,
( rr(sK13,sK3(sK13))
| ~ cB(sK13) ),
inference(extension,[status(thm),parent(t51:3)],[f_5_5]) ).
cnf(t74,plain,
$false,
inference(connection,[status(thm),parent(t73:1)],[t73:1,t51:3]) ).
cnf(t75,plain,
( cNothing(sK3(sK13))
| ~ cnotB(sK13)
| ~ rr(sK13,sK3(sK13)) ),
inference(extension,[status(thm),parent(t73:2)],[f_11_5]) ).
cnf(t76,plain,
$false,
inference(connection,[status(thm),parent(t75:1)],[t75:1,t73:2]) ).
cnf(t77,plain,
( ~ cnotAorB(sK13)
| cnotB(sK13) ),
inference(extension,[status(thm),parent(t75:2)],[f_10_4]) ).
cnf(t78,plain,
$false,
inference(connection,[status(thm),parent(t77:1)],[t77:1,t75:2]) ).
cnf(t79,plain,
( rs(sK13,sK6(sK13))
| cnotAorB(sK13) ),
inference(extension,[status(thm),parent(t77:2)],[f_9_6]) ).
cnf(t80,plain,
$false,
inference(connection,[status(thm),parent(t79:1)],[t79:1,t77:2]) ).
cnf(t81,plain,
( ~ cowlThing(sK6(sK13))
| cAorB(sK13)
| ~ rs(sK13,sK6(sK13)) ),
inference(extension,[status(thm),parent(t79:2)],[f_4_7]) ).
cnf(t82,plain,
$false,
inference(connection,[status(thm),parent(t81:1)],[t81:1,t79:2]) ).
cnf(t83,plain,
( ~ sP3
| ~ cAorB(sK13) ),
inference(extension,[status(thm),parent(t81:2)],[f_12_21]) ).
cnf(t84,plain,
$false,
inference(connection,[status(thm),parent(t83:1)],[t83:1,t81:2]) ).
cnf(t85,plain,
$false,
inference(reduction,[status(thm),parent(t83:2)],[t83:2,t2:6]) ).
cnf(t86,plain,
cowlThing(sK6(sK13)),
inference(extension,[status(thm),parent(t81:3)],[f_1_4]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t81:3]) ).
cnf(t88,plain,
( ~ rp(sK3(sK13),sK4(sK3(sK13)))
| ~ cNothing(sK3(sK13)) ),
inference(extension,[status(thm),parent(t75:3)],[f_7_3]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t75:3]) ).
cnf(t90,plain,
( ~ cNothing(sK3(sK13))
| rp(sK3(sK13),sK4(sK3(sK13))) ),
inference(extension,[status(thm),parent(t88:2)],[f_6_4]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t88:2]) ).
cnf(t92,plain,
$false,
inference(reduction,[status(thm),parent(t90:2)],[t90:2,t75:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS132+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 19 12:15:50 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.45/0.76 % SZS status Theorem for theBenchmark
% 0.45/0.76 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------