%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS128+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 : n015.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 08:47:20 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.43s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 72 ( 26 unt; 0 def)
% Number of atoms : 264 ( 0 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 313 ( 121 ~; 118 |; 68 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 145 ( 25 sgn 89 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rr(X,Y)
=> ca_Cx4(Y) )
& ! [Y] :
( rr(X,Y)
=> cd(Y) )
& ? [Y] :
( cexcomp(Y)
& rr(X,Y) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_8,axiom,
! [X] :
( ca_Cx4(X)
<=> ? [Y0] : ra_Px4(X,Y0) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( ca_Cx4xcomp(X)
<=> ~ ? [Y] : ra_Px4(X,Y) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X] :
( ca_Cx4xcomp(X)
<=> ( cexcomp(X)
& cd(X) ) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_22_31584),
file('theBenchmark.p',axiom_11) ).
fof(f_3_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ? [Y] :
( ~ ca_Cx4(Y)
& rr(X,Y) )
| ? [Y] :
( ~ cd(Y)
& rr(X,Y) )
| ! [Y] :
( ~ cexcomp(Y)
| ~ rr(X,Y) ) )
& ( ( ! [Y] :
( ca_Cx4(Y)
| ~ rr(X,Y) )
& ! [Y] :
( cd(Y)
| ~ rr(X,Y) )
& ? [Y] :
( cexcomp(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_12] :
( ( cUnsatisfiable(U_12)
| ? [U_11] :
( ~ ca_Cx4(U_11)
& rr(U_12,U_11) )
| ? [U_10] :
( ~ cd(U_10)
& rr(U_12,U_10) )
| ! [U_9] :
( ~ cexcomp(U_9)
| ~ rr(U_12,U_9) ) )
& ( ( ! [U_8] :
( ca_Cx4(U_8)
| ~ rr(U_12,U_8) )
& ! [U_7] :
( cd(U_7)
| ~ rr(U_12,U_7) )
& ? [U_6] :
( cexcomp(U_6)
& rr(U_12,U_6) ) )
| ~ cUnsatisfiable(U_12) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_14] :
( cUnsatisfiable(U_14)
| ? [U_11] :
( ~ ca_Cx4(U_11)
& rr(U_14,U_11) )
| ? [U_10] :
( ~ cd(U_10)
& rr(U_14,U_10) )
| ! [U_9] :
( ~ cexcomp(U_9)
| ~ rr(U_14,U_9) ) )
& ! [U_13] :
( ( ! [U_8] :
( ca_Cx4(U_8)
| ~ rr(U_13,U_8) )
& ! [U_7] :
( cd(U_7)
| ~ rr(U_13,U_7) )
& ? [U_6] :
( cexcomp(U_6)
& rr(U_13,U_6) ) )
| ~ cUnsatisfiable(U_13) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
( ! [U_14] :
( cUnsatisfiable(U_14)
| ? [U_11] :
( ~ ca_Cx4(U_11)
& rr(U_14,U_11) )
| ? [U_10] :
( ~ cd(U_10)
& rr(U_14,U_10) )
| ! [U_9] :
( ~ cexcomp(U_9)
| ~ rr(U_14,U_9) ) )
& ! [U_13] :
( ( ! [U_8] :
( ca_Cx4(U_8)
| ~ rr(U_13,U_8) )
& ! [U_7] :
( cd(U_7)
| ~ rr(U_13,U_7) )
& cexcomp(sK1(U_13))
& rr(U_13,sK1(U_13)) )
| ~ cUnsatisfiable(U_13) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_6,sK1(U_13))],[f_3_3]) ).
fof(f_3_5,plain,
( ! [U_14] :
( cUnsatisfiable(U_14)
| ? [U_11] :
( ~ ca_Cx4(U_11)
& rr(U_14,U_11) )
| ( ~ cd(sK2(U_14))
& rr(U_14,sK2(U_14)) )
| ! [U_9] :
( ~ cexcomp(U_9)
| ~ rr(U_14,U_9) ) )
& ! [U_13] :
( ( ! [U_8] :
( ca_Cx4(U_8)
| ~ rr(U_13,U_8) )
& ! [U_7] :
( cd(U_7)
| ~ rr(U_13,U_7) )
& cexcomp(sK1(U_13))
& rr(U_13,sK1(U_13)) )
| ~ cUnsatisfiable(U_13) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_10,sK2(U_14))],[f_3_4]) ).
fof(f_3_6,plain,
( ! [U_14] :
( cUnsatisfiable(U_14)
| ( ~ ca_Cx4(sK3(U_14))
& rr(U_14,sK3(U_14)) )
| ( ~ cd(sK2(U_14))
& rr(U_14,sK2(U_14)) )
| ! [U_9] :
( ~ cexcomp(U_9)
| ~ rr(U_14,U_9) ) )
& ! [U_13] :
( ( ! [U_8] :
( ca_Cx4(U_8)
| ~ rr(U_13,U_8) )
& ! [U_7] :
( cd(U_7)
| ~ rr(U_13,U_7) )
& cexcomp(sK1(U_13))
& rr(U_13,sK1(U_13)) )
| ~ cUnsatisfiable(U_13) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_11,sK3(U_14))],[f_3_5]) ).
fof(f_3_7,plain,
( ! [U_14] :
( ~ ca_Cx4(sK3(U_14))
| ~ sP2(U_14) )
& ! [U_14] :
( rr(U_14,sK3(U_14))
| ~ sP2(U_14) )
& ! [U_14] :
( ~ cd(sK2(U_14))
| ~ sP1(U_14) )
& ! [U_14] :
( rr(U_14,sK2(U_14))
| ~ sP1(U_14) )
& ! [U_7,U_8,U_13] :
( ca_Cx4(U_8)
| ~ rr(U_13,U_8)
| ~ sP0(U_7,U_8,U_13) )
& ! [U_7,U_8,U_13] :
( cd(U_7)
| ~ rr(U_13,U_7)
| ~ sP0(U_7,U_8,U_13) )
& ! [U_7,U_8,U_13] :
( cexcomp(sK1(U_13))
| ~ sP0(U_7,U_8,U_13) )
& ! [U_7,U_8,U_13] :
( rr(U_13,sK1(U_13))
| ~ sP0(U_7,U_8,U_13) )
& ! [U_9,U_14] :
( cUnsatisfiable(U_14)
| sP2(U_14)
| sP1(U_14)
| ~ cexcomp(U_9)
| ~ rr(U_14,U_9) )
& ! [U_7,U_8,U_13] :
( sP0(U_7,U_8,U_13)
| ~ cUnsatisfiable(U_13) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2])],[f_3_6]) ).
cnf(f_3_8,plain,
( sP0(U_7,U_8,U_13)
| ~ cUnsatisfiable(U_13) ),
inference(clausify,[status(thm)],[f_3_7]) ).
cnf(f_3_10,plain,
( rr(U_13,sK1(U_13))
| ~ sP0(U_7,U_8,U_13) ),
inference(clausify,[status(thm)],[f_3_7]) ).
cnf(f_3_11,plain,
( cexcomp(sK1(U_13))
| ~ sP0(U_7,U_8,U_13) ),
inference(clausify,[status(thm)],[f_3_7]) ).
cnf(f_3_12,plain,
( cd(U_7)
| ~ rr(U_13,U_7)
| ~ sP0(U_7,U_8,U_13) ),
inference(clausify,[status(thm)],[f_3_7]) ).
cnf(f_3_13,plain,
( ca_Cx4(U_8)
| ~ rr(U_13,U_8)
| ~ sP0(U_7,U_8,U_13) ),
inference(clausify,[status(thm)],[f_3_7]) ).
fof(f_9_1,plain,
! [X] :
( ( ca_Cx4(X)
| ! [Y0] : ~ ra_Px4(X,Y0) )
& ( ? [Y0] : ra_Px4(X,Y0)
| ~ ca_Cx4(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_9_2,plain,
! [U_38] :
( ( ca_Cx4(U_38)
| ! [U_37] : ~ ra_Px4(U_38,U_37) )
& ( ? [U_36] : ra_Px4(U_38,U_36)
| ~ ca_Cx4(U_38) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_40] :
( ca_Cx4(U_40)
| ! [U_37] : ~ ra_Px4(U_40,U_37) )
& ! [U_39] :
( ? [U_36] : ra_Px4(U_39,U_36)
| ~ ca_Cx4(U_39) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
fof(f_9_4,plain,
( ! [U_40] :
( ca_Cx4(U_40)
| ! [U_37] : ~ ra_Px4(U_40,U_37) )
& ! [U_39] :
( ra_Px4(U_39,sK8(U_39))
| ~ ca_Cx4(U_39) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_36,sK8(U_39))],[f_9_3]) ).
fof(f_9_5,plain,
( ! [U_37,U_40] :
( ca_Cx4(U_40)
| ~ ra_Px4(U_40,U_37) )
& ! [U_39] :
( ra_Px4(U_39,sK8(U_39))
| ~ ca_Cx4(U_39) ) ),
inference(definitional_conversion,[status(esa)],[f_9_4]) ).
cnf(f_9_6,plain,
( ra_Px4(U_39,sK8(U_39))
| ~ ca_Cx4(U_39) ),
inference(clausify,[status(thm)],[f_9_5]) ).
fof(f_10_1,plain,
! [X] :
( ( ca_Cx4xcomp(X)
| ? [Y] : ra_Px4(X,Y) )
& ( ! [Y] : ~ ra_Px4(X,Y)
| ~ ca_Cx4xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_10_2,plain,
! [U_43] :
( ( ca_Cx4xcomp(U_43)
| ? [U_42] : ra_Px4(U_43,U_42) )
& ( ! [U_41] : ~ ra_Px4(U_43,U_41)
| ~ ca_Cx4xcomp(U_43) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_45] :
( ca_Cx4xcomp(U_45)
| ? [U_42] : ra_Px4(U_45,U_42) )
& ! [U_44] :
( ! [U_41] : ~ ra_Px4(U_44,U_41)
| ~ ca_Cx4xcomp(U_44) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
fof(f_10_4,plain,
( ! [U_45] :
( ca_Cx4xcomp(U_45)
| ra_Px4(U_45,sK9(U_45)) )
& ! [U_44] :
( ! [U_41] : ~ ra_Px4(U_44,U_41)
| ~ ca_Cx4xcomp(U_44) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_42,sK9(U_45))],[f_10_3]) ).
fof(f_10_5,plain,
( ! [U_45] :
( ca_Cx4xcomp(U_45)
| ra_Px4(U_45,sK9(U_45)) )
& ! [U_41,U_44] :
( ~ ra_Px4(U_44,U_41)
| ~ ca_Cx4xcomp(U_44) ) ),
inference(definitional_conversion,[status(esa)],[f_10_4]) ).
cnf(f_10_6,plain,
( ~ ra_Px4(U_44,U_41)
| ~ ca_Cx4xcomp(U_44) ),
inference(clausify,[status(thm)],[f_10_5]) ).
fof(f_11_1,plain,
! [X] :
( ( ca_Cx4xcomp(X)
| ~ cexcomp(X)
| ~ cd(X) )
& ( ( cexcomp(X)
& cd(X) )
| ~ ca_Cx4xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_11_2,plain,
! [U_46] :
( ( ca_Cx4xcomp(U_46)
| ~ cexcomp(U_46)
| ~ cd(U_46) )
& ( ( cexcomp(U_46)
& cd(U_46) )
| ~ ca_Cx4xcomp(U_46) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_48] :
( ca_Cx4xcomp(U_48)
| ~ cexcomp(U_48)
| ~ cd(U_48) )
& ! [U_47] :
( ( cexcomp(U_47)
& cd(U_47) )
| ~ ca_Cx4xcomp(U_47) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
fof(f_11_4,plain,
( ! [U_47] :
( cexcomp(U_47)
| ~ sP3(U_47) )
& ! [U_47] :
( cd(U_47)
| ~ sP3(U_47) )
& ! [U_48] :
( ca_Cx4xcomp(U_48)
| ~ cexcomp(U_48)
| ~ cd(U_48) )
& ! [U_47] :
( sP3(U_47)
| ~ ca_Cx4xcomp(U_47) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3])],[f_11_3]) ).
cnf(f_11_6,plain,
( ca_Cx4xcomp(U_48)
| ~ cexcomp(U_48)
| ~ cd(U_48) ),
inference(clausify,[status(thm)],[f_11_4]) ).
fof(f_12_1,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_12_2,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(definitional_conversion,[status(esa)],[f_12_1]) ).
cnf(f_12_3,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(t1,plain,
( ~ ra_Px4(sK1(i2003_11_14_17_22_31584),sK8(sK1(i2003_11_14_17_22_31584)))
| ~ ca_Cx4xcomp(sK1(i2003_11_14_17_22_31584)) ),
inference(start,[status(thm),parent(0:0)],[f_10_6]) ).
cnf(t2,plain,
( ~ cexcomp(sK1(i2003_11_14_17_22_31584))
| ~ cd(sK1(i2003_11_14_17_22_31584))
| ca_Cx4xcomp(sK1(i2003_11_14_17_22_31584)) ),
inference(extension,[status(thm),parent(t1:1)],[f_11_6]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ rr(i2003_11_14_17_22_31584,sK1(i2003_11_14_17_22_31584))
| ~ sP0(sK1(i2003_11_14_17_22_31584),U_300,i2003_11_14_17_22_31584)
| cd(sK1(i2003_11_14_17_22_31584)) ),
inference(extension,[status(thm),parent(t2:2)],[f_3_12]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| sP0(sK1(i2003_11_14_17_22_31584),U_300,i2003_11_14_17_22_31584) ),
inference(extension,[status(thm),parent(t4:2)],[f_3_8]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(extension,[status(thm),parent(t6:2)],[f_12_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ sP0(U_305,U_306,i2003_11_14_17_22_31584)
| rr(i2003_11_14_17_22_31584,sK1(i2003_11_14_17_22_31584)) ),
inference(extension,[status(thm),parent(t4:3)],[f_3_10]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:3]) ).
cnf(t12,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| sP0(U_305,U_306,i2003_11_14_17_22_31584) ),
inference(extension,[status(thm),parent(t10:2)],[f_3_8]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(extension,[status(thm),parent(t12:2)],[f_12_3]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ sP0(U_311,U_312,i2003_11_14_17_22_31584)
| cexcomp(sK1(i2003_11_14_17_22_31584)) ),
inference(extension,[status(thm),parent(t2:3)],[f_3_11]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:3]) ).
cnf(t18,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| sP0(U_311,U_312,i2003_11_14_17_22_31584) ),
inference(extension,[status(thm),parent(t16:2)],[f_3_8]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(extension,[status(thm),parent(t18:2)],[f_12_3]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ ca_Cx4(sK1(i2003_11_14_17_22_31584))
| ra_Px4(sK1(i2003_11_14_17_22_31584),sK8(sK1(i2003_11_14_17_22_31584))) ),
inference(extension,[status(thm),parent(t1:2)],[f_9_6]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t1:2]) ).
cnf(t24,plain,
( ~ rr(i2003_11_14_17_22_31584,sK1(i2003_11_14_17_22_31584))
| ~ sP0(U_318,sK1(i2003_11_14_17_22_31584),i2003_11_14_17_22_31584)
| ca_Cx4(sK1(i2003_11_14_17_22_31584)) ),
inference(extension,[status(thm),parent(t22:2)],[f_3_13]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| sP0(U_318,sK1(i2003_11_14_17_22_31584),i2003_11_14_17_22_31584) ),
inference(extension,[status(thm),parent(t24:2)],[f_3_8]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(extension,[status(thm),parent(t26:2)],[f_12_3]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( ~ sP0(U_324,U_325,i2003_11_14_17_22_31584)
| rr(i2003_11_14_17_22_31584,sK1(i2003_11_14_17_22_31584)) ),
inference(extension,[status(thm),parent(t24:3)],[f_3_10]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t24:3]) ).
cnf(t32,plain,
( ~ cUnsatisfiable(i2003_11_14_17_22_31584)
| sP0(U_324,U_325,i2003_11_14_17_22_31584) ),
inference(extension,[status(thm),parent(t30:2)],[f_3_8]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(extension,[status(thm),parent(t32:2)],[f_12_3]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS128+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_UNS_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
% 0.09/0.36 % Computer : n015.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 12:18:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.43 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------