%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS170+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 : n020.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 0.10s 0.40s
% Output : Proof 0.10s
% 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,Y] :
( rhasLeader(X,Y)
<=> rhasHead(X,Y) ),
file('theBenchmark.p',axiom_2) ).
fof(the_axiom,conjecture,
( ! [X,Y] :
( rhasHead(X,Y)
=> rhasLeader(X,Y) )
& ! [X,Y] :
( rhasLeader(X,Y)
=> rhasHead(X,Y) )
& ! [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,Y] :
( ( rhasLeader(X,Y)
| ~ rhasHead(X,Y) )
& ( rhasHead(X,Y)
| ~ rhasLeader(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_7,U_6] :
( ( rhasLeader(U_7,U_6)
| ~ rhasHead(U_7,U_6) )
& ( rhasHead(U_7,U_6)
| ~ rhasLeader(U_7,U_6) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_11,U_9] :
( rhasLeader(U_11,U_9)
| ~ rhasHead(U_11,U_9) )
& ! [U_10,U_8] :
( rhasHead(U_10,U_8)
| ~ rhasLeader(U_10,U_8) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
cnf(f_3_4,plain,
( rhasHead(U_10,U_8)
| ~ rhasLeader(U_10,U_8) ),
inference(clausify,[status(thm)],[f_3_3]) ).
cnf(f_3_5,plain,
( rhasLeader(U_11,U_9)
| ~ rhasHead(U_11,U_9) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,negated_conjecture,
~ ( ! [X,Y] :
( rhasHead(X,Y)
=> rhasLeader(X,Y) )
& ! [X,Y] :
( rhasLeader(X,Y)
=> rhasHead(X,Y) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_4_2,negated_conjecture,
( ? [X,Y] :
( ~ rhasLeader(X,Y)
& rhasHead(X,Y) )
| ? [X,Y] :
( ~ rhasHead(X,Y)
& rhasLeader(X,Y) )
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_4_1]) ).
fof(f_4_3,negated_conjecture,
( ? [U_17,U_16] :
( ~ rhasLeader(U_17,U_16)
& rhasHead(U_17,U_16) )
| ? [U_15,U_14] :
( ~ rhasHead(U_15,U_14)
& rhasLeader(U_15,U_14) )
| ? [U_13] :
( ( ~ xsd_string(U_13)
& ~ xsd_integer(U_13) )
| ( xsd_integer(U_13)
& xsd_string(U_13) ) )
| ? [U_12] :
( cowlNothing(U_12)
| ~ cowlThing(U_12) ) ),
inference(variable_rename,[status(thm)],[f_4_2]) ).
fof(f_4_4,negated_conjecture,
( ? [U_17,U_16] :
( ~ rhasLeader(U_17,U_16)
& rhasHead(U_17,U_16) )
| ? [U_15,U_14] :
( ~ rhasHead(U_15,U_14)
& rhasLeader(U_15,U_14) )
| ? [U_21] :
( ~ xsd_string(U_21)
& ~ xsd_integer(U_21) )
| ? [U_20] :
( xsd_integer(U_20)
& xsd_string(U_20) )
| ? [U_19] : cowlNothing(U_19)
| ? [U_18] : ~ cowlThing(U_18) ),
inference(miniscope,[status(thm)],[f_4_3]) ).
fof(f_4_5,negated_conjecture,
( ? [U_17,U_16] :
( ~ rhasLeader(U_17,U_16)
& rhasHead(U_17,U_16) )
| ? [U_15,U_14] :
( ~ rhasHead(U_15,U_14)
& rhasLeader(U_15,U_14) )
| ? [U_21] :
( ~ xsd_string(U_21)
& ~ xsd_integer(U_21) )
| ? [U_20] :
( xsd_integer(U_20)
& xsd_string(U_20) )
| ? [U_19] : cowlNothing(U_19)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_18,sK1)],[f_4_4]) ).
fof(f_4_6,negated_conjecture,
( ? [U_17,U_16] :
( ~ rhasLeader(U_17,U_16)
& rhasHead(U_17,U_16) )
| ? [U_15,U_14] :
( ~ rhasHead(U_15,U_14)
& rhasLeader(U_15,U_14) )
| ? [U_21] :
( ~ xsd_string(U_21)
& ~ xsd_integer(U_21) )
| ? [U_20] :
( xsd_integer(U_20)
& xsd_string(U_20) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_19,sK2)],[f_4_5]) ).
fof(f_4_7,negated_conjecture,
( ? [U_17,U_16] :
( ~ rhasLeader(U_17,U_16)
& rhasHead(U_17,U_16) )
| ? [U_15,U_14] :
( ~ rhasHead(U_15,U_14)
& rhasLeader(U_15,U_14) )
| ? [U_21] :
( ~ xsd_string(U_21)
& ~ xsd_integer(U_21) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_20,sK3)],[f_4_6]) ).
fof(f_4_8,negated_conjecture,
( ? [U_17,U_16] :
( ~ rhasLeader(U_17,U_16)
& rhasHead(U_17,U_16) )
| ? [U_15,U_14] :
( ~ rhasHead(U_15,U_14)
& rhasLeader(U_15,U_14) )
| ( ~ 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_21,sK4)],[f_4_7]) ).
fof(f_4_9,negated_conjecture,
( ? [U_17,U_16] :
( ~ rhasLeader(U_17,U_16)
& rhasHead(U_17,U_16) )
| ? [U_14] :
( ~ rhasHead(sK5,U_14)
& rhasLeader(sK5,U_14) )
| ( ~ 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_15,sK5)],[f_4_8]) ).
fof(f_4_10,negated_conjecture,
( ? [U_17,U_16] :
( ~ rhasLeader(U_17,U_16)
& rhasHead(U_17,U_16) )
| ( ~ rhasHead(sK5,sK6)
& rhasLeader(sK5,sK6) )
| ( ~ 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_4_9]) ).
fof(f_4_11,negated_conjecture,
( ? [U_16] :
( ~ rhasLeader(sK7,U_16)
& rhasHead(sK7,U_16) )
| ( ~ rhasHead(sK5,sK6)
& rhasLeader(sK5,sK6) )
| ( ~ xsd_string(sK4)
& ~ xsd_integer(sK4) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_17,sK7)],[f_4_10]) ).
fof(f_4_12,negated_conjecture,
( ( ~ rhasLeader(sK7,sK8)
& rhasHead(sK7,sK8) )
| ( ~ rhasHead(sK5,sK6)
& rhasLeader(sK5,sK6) )
| ( ~ xsd_string(sK4)
& ~ xsd_integer(sK4) )
| ( xsd_integer(sK3)
& xsd_string(sK3) )
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_16,sK8)],[f_4_11]) ).
fof(f_4_13,negated_conjecture,
( ( ~ rhasLeader(sK7,sK8)
| ~ sP3 )
& ( rhasHead(sK7,sK8)
| ~ sP3 )
& ( ~ rhasHead(sK5,sK6)
| ~ sP2 )
& ( rhasLeader(sK5,sK6)
| ~ 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_4_12]) ).
cnf(f_4_14,negated_conjecture,
( sP3
| sP2
| sP1
| sP0
| cowlNothing(sK2)
| ~ cowlThing(sK1) ),
inference(clausify,[status(thm)],[f_4_13]) ).
cnf(f_4_15,negated_conjecture,
( xsd_string(sK3)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_4_13]) ).
cnf(f_4_16,negated_conjecture,
( xsd_integer(sK3)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_4_13]) ).
cnf(f_4_17,negated_conjecture,
( ~ xsd_integer(sK4)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_4_13]) ).
cnf(f_4_18,negated_conjecture,
( ~ xsd_string(sK4)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_4_13]) ).
cnf(f_4_19,negated_conjecture,
( rhasLeader(sK5,sK6)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_4_13]) ).
cnf(f_4_20,negated_conjecture,
( ~ rhasHead(sK5,sK6)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_4_13]) ).
cnf(f_4_21,negated_conjecture,
( rhasHead(sK7,sK8)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_4_13]) ).
cnf(f_4_22,negated_conjecture,
( ~ rhasLeader(sK7,sK8)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_4_13]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS170+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_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
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 19 12:17:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.40 % SZS status Theorem for theBenchmark
% 0.10/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------