%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS168+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 08:47:26 AM UTC 2026
% Result : Theorem 0.12s 0.37s
% Output : Proof 0.12s
% 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(the_axiom,conjecture,
( ! [X] :
( ( ~ cA(X)
& ~ cB(X) )
<=> ~ ( cB(X)
| cA(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,negated_conjecture,
~ ( ! [X] :
( ( ~ cA(X)
& ~ cB(X) )
<=> ~ ( cB(X)
| cA(X) ) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_3_2,negated_conjecture,
( ? [X] :
( ( ( cA(X)
| cB(X) )
& ~ cB(X)
& ~ cA(X) )
| ( ( cB(X)
| cA(X) )
& ~ cA(X)
& ~ cB(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_3_1]) ).
fof(f_3_3,negated_conjecture,
( ? [U_8] :
( ( ( cA(U_8)
| cB(U_8) )
& ~ cB(U_8)
& ~ cA(U_8) )
| ( ( cB(U_8)
| cA(U_8) )
& ~ cA(U_8)
& ~ cB(U_8) ) )
| ? [U_7] :
( ( ~ xsd_string(U_7)
& ~ xsd_integer(U_7) )
| ( xsd_integer(U_7)
& xsd_string(U_7) ) )
| ? [U_6] :
( cowlNothing(U_6)
| ~ cowlThing(U_6) ) ),
inference(variable_rename,[status(thm)],[f_3_2]) ).
fof(f_3_4,negated_conjecture,
( ? [U_14] :
( ( cA(U_14)
| cB(U_14) )
& ~ cB(U_14)
& ~ cA(U_14) )
| ? [U_13] :
( ( cB(U_13)
| cA(U_13) )
& ~ cA(U_13)
& ~ cB(U_13) )
| ? [U_12] :
( ~ xsd_string(U_12)
& ~ xsd_integer(U_12) )
| ? [U_11] :
( xsd_integer(U_11)
& xsd_string(U_11) )
| ? [U_10] : cowlNothing(U_10)
| ? [U_9] : ~ cowlThing(U_9) ),
inference(miniscope,[status(thm)],[f_3_3]) ).
fof(f_3_5,negated_conjecture,
( ? [U_14] :
( ( cA(U_14)
| cB(U_14) )
& ~ cB(U_14)
& ~ cA(U_14) )
| ? [U_13] :
( ( cB(U_13)
| cA(U_13) )
& ~ cA(U_13)
& ~ cB(U_13) )
| ? [U_12] :
( ~ xsd_string(U_12)
& ~ xsd_integer(U_12) )
| ? [U_11] :
( xsd_integer(U_11)
& xsd_string(U_11) )
| ? [U_10] : cowlNothing(U_10)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_9,sK1)],[f_3_4]) ).
fof(f_3_6,negated_conjecture,
( ? [U_14] :
( ( cA(U_14)
| cB(U_14) )
& ~ cB(U_14)
& ~ cA(U_14) )
| ? [U_13] :
( ( cB(U_13)
| cA(U_13) )
& ~ cA(U_13)
& ~ cB(U_13) )
| ? [U_12] :
( ~ xsd_string(U_12)
& ~ xsd_integer(U_12) )
| ? [U_11] :
( xsd_integer(U_11)
& xsd_string(U_11) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_10,sK2)],[f_3_5]) ).
fof(f_3_7,negated_conjecture,
( ? [U_14] :
( ( cA(U_14)
| cB(U_14) )
& ~ cB(U_14)
& ~ cA(U_14) )
| ? [U_13] :
( ( cB(U_13)
| cA(U_13) )
& ~ cA(U_13)
& ~ cB(U_13) )
| ? [U_12] :
( ~ xsd_string(U_12)
& ~ xsd_integer(U_12) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_11,sK3)],[f_3_6]) ).
fof(f_3_8,negated_conjecture,
( ? [U_14] :
( ( cA(U_14)
| cB(U_14) )
& ~ cB(U_14)
& ~ cA(U_14) )
| ? [U_13] :
( ( cB(U_13)
| cA(U_13) )
& ~ cA(U_13)
& ~ cB(U_13) )
| ( ~ 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_12,sK4)],[f_3_7]) ).
fof(f_3_9,negated_conjecture,
( ? [U_14] :
( ( cA(U_14)
| cB(U_14) )
& ~ cB(U_14)
& ~ cA(U_14) )
| ( ( cB(sK5)
| cA(sK5) )
& ~ cA(sK5)
& ~ cB(sK5) )
| ( ~ xsd_string(sK4)
& ~ xsd_integer(sK4) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_13,sK5)],[f_3_8]) ).
fof(f_3_10,negated_conjecture,
( ( ( cA(sK6)
| cB(sK6) )
& ~ cB(sK6)
& ~ cA(sK6) )
| ( ( cB(sK5)
| cA(sK5) )
& ~ cA(sK5)
& ~ cB(sK5) )
| ( ~ xsd_string(sK4)
& ~ xsd_integer(sK4) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_14,sK6)],[f_3_9]) ).
fof(f_3_11,negated_conjecture,
( ( cA(sK6)
| cB(sK6)
| ~ sP3 )
& ( ~ cB(sK6)
| ~ sP3 )
& ( ~ cA(sK6)
| ~ sP3 )
& ( cB(sK5)
| cA(sK5)
| ~ sP2 )
& ( ~ cA(sK5)
| ~ sP2 )
& ( ~ cB(sK5)
| ~ sP2 )
& ( ~ xsd_string(sK4)
| ~ sP1 )
& ( ~ xsd_integer(sK4)
| ~ sP1 )
& ( xsd_integer(sK3)
| ~ sP0 )
& ( xsd_string(sK3)
| ~ sP0 )
& ( sP3
| sP2
| sP1
| sP0
| cowlNothing(sK2)
| ~ cowlThing(sK1) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3])],[f_3_10]) ).
cnf(f_3_12,negated_conjecture,
( sP3
| sP2
| sP1
| sP0
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(clausify,[status(thm)],[f_3_11]) ).
cnf(f_3_13,negated_conjecture,
( xsd_string(sK3)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_3_11]) ).
cnf(f_3_14,negated_conjecture,
( xsd_integer(sK3)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_3_11]) ).
cnf(f_3_15,negated_conjecture,
( ~ xsd_integer(sK4)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_3_11]) ).
cnf(f_3_16,negated_conjecture,
( ~ xsd_string(sK4)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_3_11]) ).
cnf(f_3_17,negated_conjecture,
( ~ cB(sK5)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_3_11]) ).
cnf(f_3_18,negated_conjecture,
( ~ cA(sK5)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_3_11]) ).
cnf(f_3_19,negated_conjecture,
( cB(sK5)
| cA(sK5)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_3_11]) ).
cnf(f_3_20,negated_conjecture,
( ~ cA(sK6)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_3_11]) ).
cnf(f_3_21,negated_conjecture,
( ~ cB(sK6)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_3_11]) ).
cnf(f_3_22,negated_conjecture,
( cA(sK6)
| cB(sK6)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_3_11]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS168+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
% 0.08/0.34 % Computer : n004.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 19 12:16:19 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------