%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS152+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 : n007.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 08:47:23 AM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% 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] :
( cC10(X)
<=> ( cC4(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cC12(X)
<=> ? [Y] :
( cC10(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cC6(X)
<=> ( cC4(X)
& ~ cC2(X) ) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( cC6(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cTEST(X)
<=> ( ~ cC8(X)
& cC12(X) ) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
cTEST(iV21080),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
cowlThing(iV21080),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( rR1(iV21080,X)
=> ~ cC6(X) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
~ cC8(iV21080),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
rR1(iV21080,iV21081),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
~ cC6(iV21081),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
cowlThing(iV21081),
file('theBenchmark.p',axiom_13) ).
fof(axiom_14,axiom,
cC2(iV21081),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
cC4(iV21081),
file('theBenchmark.p',axiom_15) ).
fof(the_axiom,conjecture,
( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [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] :
( ( cC10(X)
| ~ cC4(X)
| ~ cC2(X) )
& ( ( cC4(X)
& cC2(X) )
| ~ cC10(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_6] :
( ( cC10(U_6)
| ~ cC4(U_6)
| ~ cC2(U_6) )
& ( ( cC4(U_6)
& cC2(U_6) )
| ~ cC10(U_6) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_8] :
( cC10(U_8)
| ~ cC4(U_8)
| ~ cC2(U_8) )
& ! [U_7] :
( ( cC4(U_7)
& cC2(U_7) )
| ~ cC10(U_7) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
cnf(f_3_4,plain,
( cC2(U_7)
| ~ cC10(U_7) ),
inference(clausify,[status(thm)],[f_3_3]) ).
cnf(f_3_5,plain,
( cC4(U_7)
| ~ cC10(U_7) ),
inference(clausify,[status(thm)],[f_3_3]) ).
cnf(f_3_6,plain,
( cC10(U_8)
| ~ cC4(U_8)
| ~ cC2(U_8) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [X] :
( ( cC12(X)
| ! [Y] :
( ~ cC10(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC10(Y)
& rR1(X,Y) )
| ~ cC12(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_4_2,plain,
! [U_11] :
( ( cC12(U_11)
| ! [U_10] :
( ~ cC10(U_10)
| ~ rR1(U_11,U_10) ) )
& ( ? [U_9] :
( cC10(U_9)
& rR1(U_11,U_9) )
| ~ cC12(U_11) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_13] :
( cC12(U_13)
| ! [U_10] :
( ~ cC10(U_10)
| ~ rR1(U_13,U_10) ) )
& ! [U_12] :
( ? [U_9] :
( cC10(U_9)
& rR1(U_12,U_9) )
| ~ cC12(U_12) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ! [U_13] :
( cC12(U_13)
| ! [U_10] :
( ~ cC10(U_10)
| ~ rR1(U_13,U_10) ) )
& ! [U_12] :
( ( cC10(sK1(U_12))
& rR1(U_12,sK1(U_12)) )
| ~ cC12(U_12) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_9,sK1(U_12))],[f_4_3]) ).
cnf(f_4_5,plain,
( rR1(U_12,sK1(U_12))
| ~ cC12(U_12) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_6,plain,
( cC10(sK1(U_12))
| ~ cC12(U_12) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_7,plain,
( cC12(U_13)
| ~ cC10(U_10)
| ~ rR1(U_13,U_10) ),
inference(clausify,[status(thm)],[f_4_4]) ).
fof(f_5_1,plain,
! [X] :
( ( cC6(X)
| ~ cC4(X)
| cC2(X) )
& ( ( cC4(X)
& ~ cC2(X) )
| ~ cC6(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_14] :
( ( cC6(U_14)
| ~ cC4(U_14)
| cC2(U_14) )
& ( ( cC4(U_14)
& ~ cC2(U_14) )
| ~ cC6(U_14) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_16] :
( cC6(U_16)
| ~ cC4(U_16)
| cC2(U_16) )
& ! [U_15] :
( ( cC4(U_15)
& ~ cC2(U_15) )
| ~ cC6(U_15) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
cnf(f_5_4,plain,
( ~ cC2(U_15)
| ~ cC6(U_15) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_5,plain,
( cC4(U_15)
| ~ cC6(U_15) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_6,plain,
( cC6(U_16)
| ~ cC4(U_16)
| cC2(U_16) ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [X] :
( ( cC8(X)
| ! [Y] :
( ~ cC6(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC6(Y)
& rR1(X,Y) )
| ~ cC8(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
! [U_19] :
( ( cC8(U_19)
| ! [U_18] :
( ~ cC6(U_18)
| ~ rR1(U_19,U_18) ) )
& ( ? [U_17] :
( cC6(U_17)
& rR1(U_19,U_17) )
| ~ cC8(U_19) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_21] :
( cC8(U_21)
| ! [U_18] :
( ~ cC6(U_18)
| ~ rR1(U_21,U_18) ) )
& ! [U_20] :
( ? [U_17] :
( cC6(U_17)
& rR1(U_20,U_17) )
| ~ cC8(U_20) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
( ! [U_21] :
( cC8(U_21)
| ! [U_18] :
( ~ cC6(U_18)
| ~ rR1(U_21,U_18) ) )
& ! [U_20] :
( ( cC6(sK2(U_20))
& rR1(U_20,sK2(U_20)) )
| ~ cC8(U_20) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_17,sK2(U_20))],[f_6_3]) ).
cnf(f_6_5,plain,
( rR1(U_20,sK2(U_20))
| ~ cC8(U_20) ),
inference(clausify,[status(thm)],[f_6_4]) ).
cnf(f_6_6,plain,
( cC6(sK2(U_20))
| ~ cC8(U_20) ),
inference(clausify,[status(thm)],[f_6_4]) ).
cnf(f_6_7,plain,
( cC8(U_21)
| ~ cC6(U_18)
| ~ rR1(U_21,U_18) ),
inference(clausify,[status(thm)],[f_6_4]) ).
fof(f_7_1,plain,
! [X] :
( ( cTEST(X)
| cC8(X)
| ~ cC12(X) )
& ( ( ~ cC8(X)
& cC12(X) )
| ~ cTEST(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_7_2,plain,
! [U_22] :
( ( cTEST(U_22)
| cC8(U_22)
| ~ cC12(U_22) )
& ( ( ~ cC8(U_22)
& cC12(U_22) )
| ~ cTEST(U_22) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_24] :
( cTEST(U_24)
| cC8(U_24)
| ~ cC12(U_24) )
& ! [U_23] :
( ( ~ cC8(U_23)
& cC12(U_23) )
| ~ cTEST(U_23) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( cC12(U_23)
| ~ cTEST(U_23) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_5,plain,
( ~ cC8(U_23)
| ~ cTEST(U_23) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_6,plain,
( cTEST(U_24)
| cC8(U_24)
| ~ cC12(U_24) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
cTEST(iV21080),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
cnf(f_8_2,plain,
cTEST(iV21080),
inference(clausify,[status(thm)],[f_8_1]) ).
fof(f_9_1,plain,
cowlThing(iV21080),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
cnf(f_9_2,plain,
cowlThing(iV21080),
inference(clausify,[status(thm)],[f_9_1]) ).
fof(f_10_1,plain,
! [X] :
( ~ cC6(X)
| ~ rR1(iV21080,X) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_10_2,plain,
! [U_25] :
( ~ cC6(U_25)
| ~ rR1(iV21080,U_25) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( ~ cC6(U_25)
| ~ rR1(iV21080,U_25) ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
~ cC8(iV21080),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
cnf(f_11_2,plain,
~ cC8(iV21080),
inference(clausify,[status(thm)],[f_11_1]) ).
fof(f_12_1,plain,
rR1(iV21080,iV21081),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
cnf(f_12_2,plain,
rR1(iV21080,iV21081),
inference(clausify,[status(thm)],[f_12_1]) ).
fof(f_13_1,plain,
~ cC6(iV21081),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
cnf(f_13_2,plain,
~ cC6(iV21081),
inference(clausify,[status(thm)],[f_13_1]) ).
fof(f_14_1,plain,
cowlThing(iV21081),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
cnf(f_14_2,plain,
cowlThing(iV21081),
inference(clausify,[status(thm)],[f_14_1]) ).
fof(f_15_1,plain,
cC2(iV21081),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
cnf(f_15_2,plain,
cC2(iV21081),
inference(clausify,[status(thm)],[f_15_1]) ).
fof(f_16_1,plain,
cC4(iV21081),
inference(fof_nnf,[status(thm)],[axiom_15]) ).
cnf(f_16_2,plain,
cC4(iV21081),
inference(clausify,[status(thm)],[f_16_1]) ).
fof(f_17_1,negated_conjecture,
~ ( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_17_2,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_17_1]) ).
fof(f_17_3,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [U_27] :
( ( ~ xsd_string(U_27)
& ~ xsd_integer(U_27) )
| ( xsd_integer(U_27)
& xsd_string(U_27) ) )
| ? [U_26] :
( cowlNothing(U_26)
| ~ cowlThing(U_26) ) ),
inference(variable_rename,[status(thm)],[f_17_2]) ).
fof(f_17_4,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [U_31] :
( ~ xsd_string(U_31)
& ~ xsd_integer(U_31) )
| ? [U_30] :
( xsd_integer(U_30)
& xsd_string(U_30) )
| ? [U_29] : cowlNothing(U_29)
| ? [U_28] : ~ cowlThing(U_28) ),
inference(miniscope,[status(thm)],[f_17_3]) ).
fof(f_17_5,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [U_31] :
( ~ xsd_string(U_31)
& ~ xsd_integer(U_31) )
| ? [U_30] :
( xsd_integer(U_30)
& xsd_string(U_30) )
| ? [U_29] : cowlNothing(U_29)
| ~ cowlThing(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_28,sK3)],[f_17_4]) ).
fof(f_17_6,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [U_31] :
( ~ xsd_string(U_31)
& ~ xsd_integer(U_31) )
| ? [U_30] :
( xsd_integer(U_30)
& xsd_string(U_30) )
| cowlNothing(sK4)
| ~ cowlThing(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_29,sK4)],[f_17_5]) ).
fof(f_17_7,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [U_31] :
( ~ xsd_string(U_31)
& ~ xsd_integer(U_31) )
| ( xsd_integer(sK5)
& xsd_string(sK5) )
| cowlNothing(sK4)
| ~ cowlThing(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_30,sK5)],[f_17_6]) ).
fof(f_17_8,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ( ~ xsd_string(sK6)
& ~ xsd_integer(sK6) )
| ( xsd_integer(sK5)
& xsd_string(sK5) )
| cowlNothing(sK4)
| ~ cowlThing(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_31,sK6)],[f_17_7]) ).
fof(f_17_9,negated_conjecture,
( ( ~ xsd_string(sK6)
| ~ sP1 )
& ( ~ xsd_integer(sK6)
| ~ sP1 )
& ( xsd_integer(sK5)
| ~ sP0 )
& ( xsd_string(sK5)
| ~ sP0 )
& ( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| sP1
| sP0
| cowlNothing(sK4)
| ~ cowlThing(sK3) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_17_8]) ).
cnf(f_17_10,negated_conjecture,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| sP1
| sP0
| cowlNothing(sK4)
| ~ cowlThing(sK3) ),
inference(clausify,[status(thm)],[f_17_9]) ).
cnf(f_17_11,negated_conjecture,
( xsd_string(sK5)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_17_9]) ).
cnf(f_17_12,negated_conjecture,
( xsd_integer(sK5)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_17_9]) ).
cnf(f_17_13,negated_conjecture,
( ~ xsd_integer(sK6)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_17_9]) ).
cnf(f_17_14,negated_conjecture,
( ~ xsd_string(sK6)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_17_9]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS152+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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 19 12:14:19 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------