%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS163+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 08:47:25 AM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Proof 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(cA_substitution_1,axiom,
! [A,B] :
( ( cA(A)
& A = B )
=> cA(B) ),
file('theBenchmark.p',cA_substitution_1) ).
fof(cB_substitution_1,axiom,
! [A,B] :
( ( cB(A)
& A = B )
=> cB(B) ),
file('theBenchmark.p',cB_substitution_1) ).
fof(cowlNothing_substitution_1,axiom,
! [A,B] :
( ( cowlNothing(A)
& A = B )
=> cowlNothing(B) ),
file('theBenchmark.p',cowlNothing_substitution_1) ).
fof(cowlThing_substitution_1,axiom,
! [A,B] :
( ( cowlThing(A)
& A = B )
=> cowlThing(B) ),
file('theBenchmark.p',cowlThing_substitution_1) ).
fof(xsd_integer_substitution_1,axiom,
! [A,B] :
( ( xsd_integer(A)
& A = B )
=> xsd_integer(B) ),
file('theBenchmark.p',xsd_integer_substitution_1) ).
fof(xsd_string_substitution_1,axiom,
! [A,B] :
( ( xsd_string(A)
& A = B )
=> xsd_string(B) ),
file('theBenchmark.p',xsd_string_substitution_1) ).
fof(axiom_0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
cA(ia),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
cowlThing(ia),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
cB(ib),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
cowlThing(ib),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
~ ( cA(X)
& cB(X) ),
file('theBenchmark.p',axiom_6) ).
fof(the_axiom,conjecture,
( ia != ib
& cowlThing(ib)
& cowlThing(ia)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('theBenchmark.p',the_axiom) ).
fof(f_1_1,plain,
! [A,B] :
( cA(B)
| ~ cA(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cA_substitution_1]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( cA(U_0)
| ~ cA(U_1)
| U_1 != U_0 ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( cA(U_0)
| ~ cA(U_1)
| U_1 != U_0 ),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [A,B] :
( cB(B)
| ~ cB(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cB_substitution_1]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( cB(U_2)
| ~ cB(U_3)
| U_3 != U_2 ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( cB(U_2)
| ~ cB(U_3)
| U_3 != U_2 ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [A,B] :
( cowlNothing(B)
| ~ cowlNothing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlNothing_substitution_1]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( cowlNothing(U_4)
| ~ cowlNothing(U_5)
| U_5 != U_4 ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( cowlNothing(U_4)
| ~ cowlNothing(U_5)
| U_5 != U_4 ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [A,B] :
( cowlThing(B)
| ~ cowlThing(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cowlThing_substitution_1]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( cowlThing(U_6)
| ~ cowlThing(U_7)
| U_7 != U_6 ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( cowlThing(U_6)
| ~ cowlThing(U_7)
| U_7 != U_6 ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
! [A,B] :
( xsd_integer(B)
| ~ xsd_integer(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).
fof(f_5_2,plain,
! [U_9,U_8] :
( xsd_integer(U_8)
| ~ xsd_integer(U_9)
| U_9 != U_8 ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( xsd_integer(U_8)
| ~ xsd_integer(U_9)
| U_9 != U_8 ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [A,B] :
( xsd_string(B)
| ~ xsd_string(A)
| A != B ),
inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).
fof(f_6_2,plain,
! [U_11,U_10] :
( xsd_string(U_10)
| ~ xsd_string(U_11)
| U_11 != U_10 ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( xsd_string(U_10)
| ~ xsd_string(U_11)
| U_11 != U_10 ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_7_2,plain,
! [U_12] :
( ~ cowlNothing(U_12)
& cowlThing(U_12) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_14] : ~ cowlNothing(U_14)
& ! [U_13] : cowlThing(U_13) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
cowlThing(U_13),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_5,plain,
~ cowlNothing(U_14),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_8_2,plain,
! [U_15] :
( ( xsd_string(U_15)
| xsd_integer(U_15) )
& ( ~ xsd_integer(U_15)
| ~ xsd_string(U_15) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_17] :
( xsd_string(U_17)
| xsd_integer(U_17) )
& ! [U_16] :
( ~ xsd_integer(U_16)
| ~ xsd_string(U_16) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
cnf(f_8_4,plain,
( ~ xsd_integer(U_16)
| ~ xsd_string(U_16) ),
inference(clausify,[status(thm)],[f_8_3]) ).
cnf(f_8_5,plain,
( xsd_string(U_17)
| xsd_integer(U_17) ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
cA(ia),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
cnf(f_9_2,plain,
cA(ia),
inference(clausify,[status(thm)],[f_9_1]) ).
fof(f_10_1,plain,
cowlThing(ia),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
cnf(f_10_2,plain,
cowlThing(ia),
inference(clausify,[status(thm)],[f_10_1]) ).
fof(f_11_1,plain,
cB(ib),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
cnf(f_11_2,plain,
cB(ib),
inference(clausify,[status(thm)],[f_11_1]) ).
fof(f_12_1,plain,
cowlThing(ib),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
cnf(f_12_2,plain,
cowlThing(ib),
inference(clausify,[status(thm)],[f_12_1]) ).
fof(f_13_1,plain,
! [X] :
( ~ cA(X)
| ~ cB(X) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_13_2,plain,
! [U_18] :
( ~ cA(U_18)
| ~ cB(U_18) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
( ~ cA(U_18)
| ~ cB(U_18) ),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_1,negated_conjecture,
~ ( ia != ib
& cowlThing(ib)
& cowlThing(ia)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_14_2,negated_conjecture,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_14_1]) ).
fof(f_14_3,negated_conjecture,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ? [U_20] :
( ( ~ xsd_string(U_20)
& ~ xsd_integer(U_20) )
| ( xsd_integer(U_20)
& xsd_string(U_20) ) )
| ? [U_19] :
( cowlNothing(U_19)
| ~ cowlThing(U_19) ) ),
inference(variable_rename,[status(thm)],[f_14_2]) ).
fof(f_14_4,negated_conjecture,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ? [U_24] :
( ~ xsd_string(U_24)
& ~ xsd_integer(U_24) )
| ? [U_23] :
( xsd_integer(U_23)
& xsd_string(U_23) )
| ? [U_22] : cowlNothing(U_22)
| ? [U_21] : ~ cowlThing(U_21) ),
inference(miniscope,[status(thm)],[f_14_3]) ).
fof(f_14_5,negated_conjecture,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ? [U_24] :
( ~ xsd_string(U_24)
& ~ xsd_integer(U_24) )
| ? [U_23] :
( xsd_integer(U_23)
& xsd_string(U_23) )
| ? [U_22] : cowlNothing(U_22)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_21,sK1)],[f_14_4]) ).
fof(f_14_6,negated_conjecture,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ? [U_24] :
( ~ xsd_string(U_24)
& ~ xsd_integer(U_24) )
| ? [U_23] :
( xsd_integer(U_23)
& xsd_string(U_23) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_22,sK2)],[f_14_5]) ).
fof(f_14_7,negated_conjecture,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ? [U_24] :
( ~ xsd_string(U_24)
& ~ xsd_integer(U_24) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_23,sK3)],[f_14_6]) ).
fof(f_14_8,negated_conjecture,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| ( ~ xsd_string(sK4)
& ~ xsd_integer(sK4) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_24,sK4)],[f_14_7]) ).
fof(f_14_9,negated_conjecture,
( ( ~ xsd_string(sK4)
| ~ sP1 )
& ( ~ xsd_integer(sK4)
| ~ sP1 )
& ( xsd_integer(sK3)
| ~ sP0 )
& ( xsd_string(sK3)
| ~ sP0 )
& ( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| sP1
| sP0
| cowlNothing(sK2)
| ~ cowlThing(sK1) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_14_8]) ).
cnf(f_14_10,negated_conjecture,
( ia = ib
| ~ cowlThing(ib)
| ~ cowlThing(ia)
| sP1
| sP0
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(clausify,[status(thm)],[f_14_9]) ).
cnf(f_14_11,negated_conjecture,
( xsd_string(sK3)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_14_9]) ).
cnf(f_14_12,negated_conjecture,
( xsd_integer(sK3)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_14_9]) ).
cnf(f_14_13,negated_conjecture,
( ~ xsd_integer(sK4)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_14_9]) ).
cnf(f_14_14,negated_conjecture,
( ~ xsd_string(sK4)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_14_9]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( cA(Eq_y_0)
| ~ cA(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_5,axiom,
( cB(Eq_y_0)
| ~ cB(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_6,axiom,
( cowlNothing(Eq_y_0)
| ~ cowlNothing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_7,axiom,
( cowlThing(Eq_y_0)
| ~ cowlThing(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_8,axiom,
( xsd_integer(Eq_y_0)
| ~ xsd_integer(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_9,axiom,
( xsd_string(Eq_y_0)
| ~ xsd_string(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS163+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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 12:17:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.40 % SZS status Theorem for theBenchmark
% 0.09/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------