%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS129+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 : n002.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 0.13s 5.45s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 68 ( 23 unt; 0 def)
% Number of atoms : 202 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 232 ( 98 ~; 86 |; 43 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 61 ( 2 sgn 35 !; 18 ?)
% 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_3,axiom,
! [X] :
( cEuroMP(X)
<=> ? [Y] :
( cowlThing(Y)
& risEuroMPFrom(X,Y) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_5,axiom,
! [X,Y] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_13,axiom,
rhasEuroMP(iUK,iKinnock),
file('theBenchmark.p',axiom_13) ).
fof(the_axiom,conjecture,
( cEuroMP(iKinnock)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('theBenchmark.p',the_axiom) ).
fof(f_13_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_13_2,plain,
! [U_28] :
( ~ cowlNothing(U_28)
& cowlThing(U_28) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_30] : ~ cowlNothing(U_30)
& ! [U_29] : cowlThing(U_29) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
cowlThing(U_29),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_5,plain,
~ cowlNothing(U_30),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_14_2,plain,
! [U_31] :
( ( xsd_string(U_31)
| xsd_integer(U_31) )
& ( ~ xsd_integer(U_31)
| ~ xsd_string(U_31) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_33] :
( xsd_string(U_33)
| xsd_integer(U_33) )
& ! [U_32] :
( ~ xsd_integer(U_32)
| ~ xsd_string(U_32) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
cnf(f_14_4,plain,
( ~ xsd_integer(U_32)
| ~ xsd_string(U_32) ),
inference(clausify,[status(thm)],[f_14_3]) ).
cnf(f_14_5,plain,
( xsd_string(U_33)
| xsd_integer(U_33) ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_16_1,plain,
! [X] :
( ( cEuroMP(X)
| ! [Y] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) )
& ( ? [Y] :
( cowlThing(Y)
& risEuroMPFrom(X,Y) )
| ~ cEuroMP(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_16_2,plain,
! [U_39] :
( ( cEuroMP(U_39)
| ! [U_38] :
( ~ cowlThing(U_38)
| ~ risEuroMPFrom(U_39,U_38) ) )
& ( ? [U_37] :
( cowlThing(U_37)
& risEuroMPFrom(U_39,U_37) )
| ~ cEuroMP(U_39) ) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
( ! [U_41] :
( cEuroMP(U_41)
| ! [U_38] :
( ~ cowlThing(U_38)
| ~ risEuroMPFrom(U_41,U_38) ) )
& ! [U_40] :
( ? [U_37] :
( cowlThing(U_37)
& risEuroMPFrom(U_40,U_37) )
| ~ cEuroMP(U_40) ) ),
inference(miniscope,[status(thm)],[f_16_2]) ).
fof(f_16_4,plain,
( ! [U_41] :
( cEuroMP(U_41)
| ! [U_38] :
( ~ cowlThing(U_38)
| ~ risEuroMPFrom(U_41,U_38) ) )
& ! [U_40] :
( ( cowlThing(sK1(U_40))
& risEuroMPFrom(U_40,sK1(U_40)) )
| ~ cEuroMP(U_40) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_37,sK1(U_40))],[f_16_3]) ).
cnf(f_16_7,plain,
( cEuroMP(U_41)
| ~ cowlThing(U_38)
| ~ risEuroMPFrom(U_41,U_38) ),
inference(clausify,[status(thm)],[f_16_4]) ).
fof(f_18_1,plain,
! [X,Y] :
( ( risEuroMPFrom(X,Y)
| ~ rhasEuroMP(Y,X) )
& ( rhasEuroMP(Y,X)
| ~ risEuroMPFrom(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_18_2,plain,
! [U_45,U_44] :
( ( risEuroMPFrom(U_45,U_44)
| ~ rhasEuroMP(U_44,U_45) )
& ( rhasEuroMP(U_44,U_45)
| ~ risEuroMPFrom(U_45,U_44) ) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
( ! [U_49,U_47] :
( risEuroMPFrom(U_49,U_47)
| ~ rhasEuroMP(U_47,U_49) )
& ! [U_48,U_46] :
( rhasEuroMP(U_46,U_48)
| ~ risEuroMPFrom(U_48,U_46) ) ),
inference(miniscope,[status(thm)],[f_18_2]) ).
cnf(f_18_5,plain,
( risEuroMPFrom(U_49,U_47)
| ~ rhasEuroMP(U_47,U_49) ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_26_1,plain,
rhasEuroMP(iUK,iKinnock),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
cnf(f_26_2,plain,
rhasEuroMP(iUK,iKinnock),
inference(clausify,[status(thm)],[f_26_1]) ).
fof(f_27_1,negated_conjecture,
~ ( cEuroMP(iKinnock)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_27_2,negated_conjecture,
( ~ cEuroMP(iKinnock)
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_27_1]) ).
fof(f_27_3,negated_conjecture,
( ~ cEuroMP(iKinnock)
| ? [U_51] :
( ( ~ xsd_string(U_51)
& ~ xsd_integer(U_51) )
| ( xsd_integer(U_51)
& xsd_string(U_51) ) )
| ? [U_50] :
( cowlNothing(U_50)
| ~ cowlThing(U_50) ) ),
inference(variable_rename,[status(thm)],[f_27_2]) ).
fof(f_27_4,negated_conjecture,
( ~ cEuroMP(iKinnock)
| ? [U_55] :
( ~ xsd_string(U_55)
& ~ xsd_integer(U_55) )
| ? [U_54] :
( xsd_integer(U_54)
& xsd_string(U_54) )
| ? [U_53] : cowlNothing(U_53)
| ? [U_52] : ~ cowlThing(U_52) ),
inference(miniscope,[status(thm)],[f_27_3]) ).
fof(f_27_5,negated_conjecture,
( ~ cEuroMP(iKinnock)
| ? [U_55] :
( ~ xsd_string(U_55)
& ~ xsd_integer(U_55) )
| ? [U_54] :
( xsd_integer(U_54)
& xsd_string(U_54) )
| ? [U_53] : cowlNothing(U_53)
| ~ cowlThing(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_52,sK2)],[f_27_4]) ).
fof(f_27_6,negated_conjecture,
( ~ cEuroMP(iKinnock)
| ? [U_55] :
( ~ xsd_string(U_55)
& ~ xsd_integer(U_55) )
| ? [U_54] :
( xsd_integer(U_54)
& xsd_string(U_54) )
| cowlNothing(sK3)
| ~ cowlThing(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_53,sK3)],[f_27_5]) ).
fof(f_27_7,negated_conjecture,
( ~ cEuroMP(iKinnock)
| ? [U_55] :
( ~ xsd_string(U_55)
& ~ xsd_integer(U_55) )
| ( xsd_integer(sK4)
& xsd_string(sK4) )
| cowlNothing(sK3)
| ~ cowlThing(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_54,sK4)],[f_27_6]) ).
fof(f_27_8,negated_conjecture,
( ~ cEuroMP(iKinnock)
| ( ~ xsd_string(sK5)
& ~ xsd_integer(sK5) )
| ( xsd_integer(sK4)
& xsd_string(sK4) )
| cowlNothing(sK3)
| ~ cowlThing(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_55,sK5)],[f_27_7]) ).
fof(f_27_9,negated_conjecture,
( ( ~ xsd_string(sK5)
| ~ sP1 )
& ( ~ xsd_integer(sK5)
| ~ sP1 )
& ( xsd_integer(sK4)
| ~ sP0 )
& ( xsd_string(sK4)
| ~ sP0 )
& ( ~ cEuroMP(iKinnock)
| sP1
| sP0
| cowlNothing(sK3)
| ~ cowlThing(sK2) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_27_8]) ).
cnf(f_27_10,negated_conjecture,
( ~ cEuroMP(iKinnock)
| sP1
| sP0
| cowlNothing(sK3)
| ~ cowlThing(sK2) ),
inference(clausify,[status(thm)],[f_27_9]) ).
cnf(f_27_11,negated_conjecture,
( xsd_string(sK4)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_27_9]) ).
cnf(f_27_12,negated_conjecture,
( xsd_integer(sK4)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_27_9]) ).
cnf(f_27_13,negated_conjecture,
( ~ xsd_integer(sK5)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_27_9]) ).
cnf(f_27_14,negated_conjecture,
( ~ xsd_string(sK5)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_27_9]) ).
cnf(t1,plain,
~ cowlNothing(sK3),
inference(start,[status(thm),parent(0:0)],[f_13_5]) ).
cnf(t2,plain,
( ~ cEuroMP(iKinnock)
| sP0
| sP1
| ~ cowlThing(sK2)
| cowlNothing(sK3) ),
inference(extension,[status(thm),parent(t1:1)],[f_27_10]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
cowlThing(sK2),
inference(extension,[status(thm),parent(t2:2)],[f_13_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ xsd_string(sK5)
| ~ sP1 ),
inference(extension,[status(thm),parent(t2:3)],[f_27_14]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( xsd_integer(sK5)
| xsd_string(sK5) ),
inference(extension,[status(thm),parent(t6:2)],[f_14_5]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ sP1
| ~ xsd_integer(sK5) ),
inference(extension,[status(thm),parent(t8:2)],[f_27_13]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
$false,
inference(reduction,[status(thm),parent(t10:2)],[t10:2,t2:3]) ).
cnf(t13,plain,
( xsd_integer(sK4)
| ~ sP0 ),
inference(extension,[status(thm),parent(t2:4)],[f_27_12]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t2:4]) ).
cnf(t15,plain,
( ~ xsd_string(sK4)
| ~ xsd_integer(sK4) ),
inference(extension,[status(thm),parent(t13:2)],[f_14_4]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t13:2]) ).
cnf(t17,plain,
( ~ sP0
| xsd_string(sK4) ),
inference(extension,[status(thm),parent(t15:2)],[f_27_11]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t15:2]) ).
cnf(t19,plain,
$false,
inference(reduction,[status(thm),parent(t17:2)],[t17:2,t2:4]) ).
cnf(t20,plain,
( ~ cowlThing(iUK)
| ~ risEuroMPFrom(iKinnock,iUK)
| cEuroMP(iKinnock) ),
inference(extension,[status(thm),parent(t2:5)],[f_16_7]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t2:5]) ).
cnf(t22,plain,
( ~ rhasEuroMP(iUK,iKinnock)
| risEuroMPFrom(iKinnock,iUK) ),
inference(extension,[status(thm),parent(t20:2)],[f_18_5]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
rhasEuroMP(iUK,iKinnock),
inference(extension,[status(thm),parent(t22:2)],[f_26_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
cowlThing(iUK),
inference(extension,[status(thm),parent(t20:3)],[f_13_4]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t20:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS129+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n002.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 19 12:18:23 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.13/5.45 % SZS status Theorem for theBenchmark
% 0.13/5.45 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------