%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS123+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 : n012.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 08:47:19 AM UTC 2026
% Result : Unsatisfiable 0.02s 0.31s
% Output : Proof 0.02s
% 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] :
( cUnsatisfiable(X)
<=> ( cd(X)
& cc(X) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cc(X)
=> cdxcomp(X) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cc1(X)
=> cd1xcomp(X) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cc1(X)
=> cd1(X) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cd(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( cdxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( cd1(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( cd1xcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X] :
( ce3(X)
=> cc(X) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X] :
( cf(X)
=> cd(X) ),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
cUnsatisfiable(i2003_11_14_17_22_02803),
file('theBenchmark.p',axiom_12) ).
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]) ).
fof(f_1_4,plain,
( ! [U_2] : ~ cowlNothing(U_2)
& ! [U_1] : cowlThing(U_1) ),
inference(definitional_conversion,[status(esa)],[f_1_3]) ).
cnf(f_1_5,plain,
cowlThing(U_1),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_6,plain,
~ cowlNothing(U_2),
inference(clausify,[status(thm)],[f_1_4]) ).
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]) ).
fof(f_2_4,plain,
( ! [U_5] :
( xsd_string(U_5)
| xsd_integer(U_5) )
& ! [U_4] :
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ) ),
inference(definitional_conversion,[status(esa)],[f_2_3]) ).
cnf(f_2_5,plain,
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_6,plain,
( xsd_string(U_5)
| xsd_integer(U_5) ),
inference(clausify,[status(thm)],[f_2_4]) ).
fof(f_3_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ~ cd(X)
| ~ cc(X) )
& ( ( cd(X)
& cc(X) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_6] :
( ( cUnsatisfiable(U_6)
| ~ cd(U_6)
| ~ cc(U_6) )
& ( ( cd(U_6)
& cc(U_6) )
| ~ cUnsatisfiable(U_6) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_8] :
( cUnsatisfiable(U_8)
| ~ cd(U_8)
| ~ cc(U_8) )
& ! [U_7] :
( ( cd(U_7)
& cc(U_7) )
| ~ cUnsatisfiable(U_7) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
( ! [U_7] :
( cd(U_7)
| ~ sP0(U_7) )
& ! [U_7] :
( cc(U_7)
| ~ sP0(U_7) )
& ! [U_8] :
( cUnsatisfiable(U_8)
| ~ cd(U_8)
| ~ cc(U_8) )
& ! [U_7] :
( sP0(U_7)
| ~ cUnsatisfiable(U_7) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_3_3]) ).
cnf(f_3_5,plain,
( sP0(U_7)
| ~ cUnsatisfiable(U_7) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_6,plain,
( cUnsatisfiable(U_8)
| ~ cd(U_8)
| ~ cc(U_8) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_7,plain,
( cc(U_7)
| ~ sP0(U_7) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_8,plain,
( cd(U_7)
| ~ sP0(U_7) ),
inference(clausify,[status(thm)],[f_3_4]) ).
fof(f_4_1,plain,
! [X] :
( cdxcomp(X)
| ~ cc(X) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_4_2,plain,
! [U_9] :
( cdxcomp(U_9)
| ~ cc(U_9) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_9] :
( cdxcomp(U_9)
| ~ cc(U_9) ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( cdxcomp(U_9)
| ~ cc(U_9) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [X] :
( cd1xcomp(X)
| ~ cc1(X) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_10] :
( cd1xcomp(U_10)
| ~ cc1(U_10) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
! [U_10] :
( cd1xcomp(U_10)
| ~ cc1(U_10) ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( cd1xcomp(U_10)
| ~ cc1(U_10) ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [X] :
( cd1(X)
| ~ cc1(X) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
! [U_11] :
( cd1(U_11)
| ~ cc1(U_11) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_11] :
( cd1(U_11)
| ~ cc1(U_11) ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( cd1(U_11)
| ~ cc1(U_11) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [X] :
( ( cd(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cd(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_7_2,plain,
! [U_14] :
( ( cd(U_14)
| ? [U_13] : ra_Px1(U_14,U_13) )
& ( ! [U_12] : ~ ra_Px1(U_14,U_12)
| ~ cd(U_14) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_16] :
( cd(U_16)
| ? [U_13] : ra_Px1(U_16,U_13) )
& ! [U_15] :
( ! [U_12] : ~ ra_Px1(U_15,U_12)
| ~ cd(U_15) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
fof(f_7_4,plain,
( ! [U_16] :
( cd(U_16)
| ra_Px1(U_16,sK1(U_16)) )
& ! [U_15] :
( ! [U_12] : ~ ra_Px1(U_15,U_12)
| ~ cd(U_15) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_13,sK1(U_16))],[f_7_3]) ).
fof(f_7_5,plain,
( ! [U_16] :
( cd(U_16)
| ra_Px1(U_16,sK1(U_16)) )
& ! [U_15,U_12] :
( ~ ra_Px1(U_15,U_12)
| ~ cd(U_15) ) ),
inference(definitional_conversion,[status(esa)],[f_7_4]) ).
cnf(f_7_6,plain,
( ~ ra_Px1(U_15,U_12)
| ~ cd(U_15) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_7,plain,
( cd(U_16)
| ra_Px1(U_16,sK1(U_16)) ),
inference(clausify,[status(thm)],[f_7_5]) ).
fof(f_8_1,plain,
! [X] :
( ( cdxcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cdxcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_8_2,plain,
! [U_19] :
( ( cdxcomp(U_19)
| ! [U_18] : ~ ra_Px1(U_19,U_18) )
& ( ? [U_17] : ra_Px1(U_19,U_17)
| ~ cdxcomp(U_19) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_21] :
( cdxcomp(U_21)
| ! [U_18] : ~ ra_Px1(U_21,U_18) )
& ! [U_20] :
( ? [U_17] : ra_Px1(U_20,U_17)
| ~ cdxcomp(U_20) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_21] :
( cdxcomp(U_21)
| ! [U_18] : ~ ra_Px1(U_21,U_18) )
& ! [U_20] :
( ra_Px1(U_20,sK2(U_20))
| ~ cdxcomp(U_20) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_17,sK2(U_20))],[f_8_3]) ).
fof(f_8_5,plain,
( ! [U_18,U_21] :
( cdxcomp(U_21)
| ~ ra_Px1(U_21,U_18) )
& ! [U_20] :
( ra_Px1(U_20,sK2(U_20))
| ~ cdxcomp(U_20) ) ),
inference(definitional_conversion,[status(esa)],[f_8_4]) ).
cnf(f_8_6,plain,
( ra_Px1(U_20,sK2(U_20))
| ~ cdxcomp(U_20) ),
inference(clausify,[status(thm)],[f_8_5]) ).
cnf(f_8_7,plain,
( cdxcomp(U_21)
| ~ ra_Px1(U_21,U_18) ),
inference(clausify,[status(thm)],[f_8_5]) ).
fof(f_9_1,plain,
! [X] :
( ( cd1(X)
| ! [Y0] : ~ ra_Px2(X,Y0) )
& ( ? [Y0] : ra_Px2(X,Y0)
| ~ cd1(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_9_2,plain,
! [U_24] :
( ( cd1(U_24)
| ! [U_23] : ~ ra_Px2(U_24,U_23) )
& ( ? [U_22] : ra_Px2(U_24,U_22)
| ~ cd1(U_24) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_26] :
( cd1(U_26)
| ! [U_23] : ~ ra_Px2(U_26,U_23) )
& ! [U_25] :
( ? [U_22] : ra_Px2(U_25,U_22)
| ~ cd1(U_25) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
fof(f_9_4,plain,
( ! [U_26] :
( cd1(U_26)
| ! [U_23] : ~ ra_Px2(U_26,U_23) )
& ! [U_25] :
( ra_Px2(U_25,sK3(U_25))
| ~ cd1(U_25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_22,sK3(U_25))],[f_9_3]) ).
fof(f_9_5,plain,
( ! [U_23,U_26] :
( cd1(U_26)
| ~ ra_Px2(U_26,U_23) )
& ! [U_25] :
( ra_Px2(U_25,sK3(U_25))
| ~ cd1(U_25) ) ),
inference(definitional_conversion,[status(esa)],[f_9_4]) ).
cnf(f_9_6,plain,
( ra_Px2(U_25,sK3(U_25))
| ~ cd1(U_25) ),
inference(clausify,[status(thm)],[f_9_5]) ).
cnf(f_9_7,plain,
( cd1(U_26)
| ~ ra_Px2(U_26,U_23) ),
inference(clausify,[status(thm)],[f_9_5]) ).
fof(f_10_1,plain,
! [X] :
( ( cd1xcomp(X)
| ? [Y] : ra_Px2(X,Y) )
& ( ! [Y] : ~ ra_Px2(X,Y)
| ~ cd1xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_10_2,plain,
! [U_29] :
( ( cd1xcomp(U_29)
| ? [U_28] : ra_Px2(U_29,U_28) )
& ( ! [U_27] : ~ ra_Px2(U_29,U_27)
| ~ cd1xcomp(U_29) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_31] :
( cd1xcomp(U_31)
| ? [U_28] : ra_Px2(U_31,U_28) )
& ! [U_30] :
( ! [U_27] : ~ ra_Px2(U_30,U_27)
| ~ cd1xcomp(U_30) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
fof(f_10_4,plain,
( ! [U_31] :
( cd1xcomp(U_31)
| ra_Px2(U_31,sK4(U_31)) )
& ! [U_30] :
( ! [U_27] : ~ ra_Px2(U_30,U_27)
| ~ cd1xcomp(U_30) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_28,sK4(U_31))],[f_10_3]) ).
fof(f_10_5,plain,
( ! [U_31] :
( cd1xcomp(U_31)
| ra_Px2(U_31,sK4(U_31)) )
& ! [U_30,U_27] :
( ~ ra_Px2(U_30,U_27)
| ~ cd1xcomp(U_30) ) ),
inference(definitional_conversion,[status(esa)],[f_10_4]) ).
cnf(f_10_6,plain,
( ~ ra_Px2(U_30,U_27)
| ~ cd1xcomp(U_30) ),
inference(clausify,[status(thm)],[f_10_5]) ).
cnf(f_10_7,plain,
( cd1xcomp(U_31)
| ra_Px2(U_31,sK4(U_31)) ),
inference(clausify,[status(thm)],[f_10_5]) ).
fof(f_11_1,plain,
! [X] :
( cc(X)
| ~ ce3(X) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_11_2,plain,
! [U_32] :
( cc(U_32)
| ~ ce3(U_32) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
! [U_32] :
( cc(U_32)
| ~ ce3(U_32) ),
inference(definitional_conversion,[status(esa)],[f_11_2]) ).
cnf(f_11_4,plain,
( cc(U_32)
| ~ ce3(U_32) ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [X] :
( cd(X)
| ~ cf(X) ),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_12_2,plain,
! [U_33] :
( cd(U_33)
| ~ cf(U_33) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_33] :
( cd(U_33)
| ~ cf(U_33) ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( cd(U_33)
| ~ cf(U_33) ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_13_1,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
fof(f_13_2,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
inference(definitional_conversion,[status(esa)],[f_13_1]) ).
cnf(f_13_3,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS123+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.01 This is a FOF_UNS_RFO_NEQ problem
% 0.00/0.02 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Sat Sep 19 12:12:43 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.02/0.31 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------