%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS096+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 08:47:15 AM UTC 2026
% Result : Unsatisfiable 0.15s 20.71s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 62 ( 25 unt; 0 def)
% Number of atoms : 237 ( 25 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 288 ( 113 ~; 107 |; 64 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 136 ( 26 sgn 79 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cd_substitution_1,axiom,
! [A,B] :
( ( cd(A)
& A = B )
=> cd(B) ),
file('theBenchmark.p',cd_substitution_1) ).
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y0,Y1] :
( ( rr(X,Y1)
& rr(X,Y0) )
=> Y0 = Y1 )
& ? [Y] :
( cd(Y)
& rr(X,Y) )
& ? [Y] :
( cc(Y)
& rr(X,Y) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cc(X)
=> ~ cd(X) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
cUnsatisfiable(i2003_11_14_17_20_18265),
file('theBenchmark.p',axiom_4) ).
fof(f_3_1,plain,
! [A,B] :
( cd(B)
| ~ cd(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cd_substitution_1]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( cd(U_4)
| ~ cd(U_5)
| U_5 != U_4 ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_4,U_5] :
( cd(U_4)
| ~ cd(U_5)
| U_5 != U_4 ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( cd(U_4)
| ~ cd(U_5)
| U_5 != U_4 ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_12_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ? [Y0,Y1] :
( Y0 != Y1
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cd(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cc(Y)
| ~ rr(X,Y) ) )
& ( ( ! [Y0,Y1] :
( Y0 = Y1
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cd(Y)
& rr(X,Y) )
& ? [Y] :
( cc(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_12_2,plain,
! [U_34] :
( ( cUnsatisfiable(U_34)
| ? [U_33,U_32] :
( U_33 != U_32
& rr(U_34,U_32)
& rr(U_34,U_33) )
| ! [U_31] :
( ~ cd(U_31)
| ~ rr(U_34,U_31) )
| ! [U_30] :
( ~ cc(U_30)
| ~ rr(U_34,U_30) ) )
& ( ( ! [U_29,U_28] :
( U_29 = U_28
| ~ rr(U_34,U_28)
| ~ rr(U_34,U_29) )
& ? [U_27] :
( cd(U_27)
& rr(U_34,U_27) )
& ? [U_26] :
( cc(U_26)
& rr(U_34,U_26) ) )
| ~ cUnsatisfiable(U_34) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_36] :
( cUnsatisfiable(U_36)
| ? [U_33,U_32] :
( U_33 != U_32
& rr(U_36,U_32)
& rr(U_36,U_33) )
| ! [U_31] :
( ~ cd(U_31)
| ~ rr(U_36,U_31) )
| ! [U_30] :
( ~ cc(U_30)
| ~ rr(U_36,U_30) ) )
& ! [U_35] :
( ( ! [U_29,U_28] :
( U_29 = U_28
| ~ rr(U_35,U_28)
| ~ rr(U_35,U_29) )
& ? [U_27] :
( cd(U_27)
& rr(U_35,U_27) )
& ? [U_26] :
( cc(U_26)
& rr(U_35,U_26) ) )
| ~ cUnsatisfiable(U_35) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
fof(f_12_4,plain,
( ! [U_36] :
( cUnsatisfiable(U_36)
| ? [U_33,U_32] :
( U_33 != U_32
& rr(U_36,U_32)
& rr(U_36,U_33) )
| ! [U_31] :
( ~ cd(U_31)
| ~ rr(U_36,U_31) )
| ! [U_30] :
( ~ cc(U_30)
| ~ rr(U_36,U_30) ) )
& ! [U_35] :
( ( ! [U_29,U_28] :
( U_29 = U_28
| ~ rr(U_35,U_28)
| ~ rr(U_35,U_29) )
& ? [U_27] :
( cd(U_27)
& rr(U_35,U_27) )
& cc(sK1(U_35))
& rr(U_35,sK1(U_35)) )
| ~ cUnsatisfiable(U_35) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_26,sK1(U_35))],[f_12_3]) ).
fof(f_12_5,plain,
( ! [U_36] :
( cUnsatisfiable(U_36)
| ? [U_33,U_32] :
( U_33 != U_32
& rr(U_36,U_32)
& rr(U_36,U_33) )
| ! [U_31] :
( ~ cd(U_31)
| ~ rr(U_36,U_31) )
| ! [U_30] :
( ~ cc(U_30)
| ~ rr(U_36,U_30) ) )
& ! [U_35] :
( ( ! [U_29,U_28] :
( U_29 = U_28
| ~ rr(U_35,U_28)
| ~ rr(U_35,U_29) )
& cd(sK2(U_35))
& rr(U_35,sK2(U_35))
& cc(sK1(U_35))
& rr(U_35,sK1(U_35)) )
| ~ cUnsatisfiable(U_35) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_27,sK2(U_35))],[f_12_4]) ).
fof(f_12_6,plain,
( ! [U_36] :
( cUnsatisfiable(U_36)
| ? [U_32] :
( sK3(U_36) != U_32
& rr(U_36,U_32)
& rr(U_36,sK3(U_36)) )
| ! [U_31] :
( ~ cd(U_31)
| ~ rr(U_36,U_31) )
| ! [U_30] :
( ~ cc(U_30)
| ~ rr(U_36,U_30) ) )
& ! [U_35] :
( ( ! [U_29,U_28] :
( U_29 = U_28
| ~ rr(U_35,U_28)
| ~ rr(U_35,U_29) )
& cd(sK2(U_35))
& rr(U_35,sK2(U_35))
& cc(sK1(U_35))
& rr(U_35,sK1(U_35)) )
| ~ cUnsatisfiable(U_35) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_33,sK3(U_36))],[f_12_5]) ).
fof(f_12_7,plain,
( ! [U_36] :
( cUnsatisfiable(U_36)
| ( sK3(U_36) != sK4(U_36)
& rr(U_36,sK4(U_36))
& rr(U_36,sK3(U_36)) )
| ! [U_31] :
( ~ cd(U_31)
| ~ rr(U_36,U_31) )
| ! [U_30] :
( ~ cc(U_30)
| ~ rr(U_36,U_30) ) )
& ! [U_35] :
( ( ! [U_29,U_28] :
( U_29 = U_28
| ~ rr(U_35,U_28)
| ~ rr(U_35,U_29) )
& cd(sK2(U_35))
& rr(U_35,sK2(U_35))
& cc(sK1(U_35))
& rr(U_35,sK1(U_35)) )
| ~ cUnsatisfiable(U_35) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_32,sK4(U_36))],[f_12_6]) ).
fof(f_12_8,plain,
( ! [U_36] :
( sK3(U_36) != sK4(U_36)
| ~ sP1(U_36) )
& ! [U_36] :
( rr(U_36,sK4(U_36))
| ~ sP1(U_36) )
& ! [U_36] :
( rr(U_36,sK3(U_36))
| ~ sP1(U_36) )
& ! [U_28,U_29,U_35] :
( U_29 = U_28
| ~ rr(U_35,U_28)
| ~ rr(U_35,U_29)
| ~ sP0(U_28,U_29,U_35) )
& ! [U_28,U_29,U_35] :
( cd(sK2(U_35))
| ~ sP0(U_28,U_29,U_35) )
& ! [U_28,U_29,U_35] :
( rr(U_35,sK2(U_35))
| ~ sP0(U_28,U_29,U_35) )
& ! [U_28,U_29,U_35] :
( cc(sK1(U_35))
| ~ sP0(U_28,U_29,U_35) )
& ! [U_28,U_29,U_35] :
( rr(U_35,sK1(U_35))
| ~ sP0(U_28,U_29,U_35) )
& ! [U_30,U_31,U_36] :
( cUnsatisfiable(U_36)
| sP1(U_36)
| ~ cd(U_31)
| ~ rr(U_36,U_31)
| ~ cc(U_30)
| ~ rr(U_36,U_30) )
& ! [U_28,U_29,U_35] :
( sP0(U_28,U_29,U_35)
| ~ cUnsatisfiable(U_35) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_12_7]) ).
cnf(f_12_9,plain,
( sP0(U_28,U_29,U_35)
| ~ cUnsatisfiable(U_35) ),
inference(clausify,[status(thm)],[f_12_8]) ).
cnf(f_12_11,plain,
( rr(U_35,sK1(U_35))
| ~ sP0(U_28,U_29,U_35) ),
inference(clausify,[status(thm)],[f_12_8]) ).
cnf(f_12_12,plain,
( cc(sK1(U_35))
| ~ sP0(U_28,U_29,U_35) ),
inference(clausify,[status(thm)],[f_12_8]) ).
cnf(f_12_13,plain,
( rr(U_35,sK2(U_35))
| ~ sP0(U_28,U_29,U_35) ),
inference(clausify,[status(thm)],[f_12_8]) ).
cnf(f_12_14,plain,
( cd(sK2(U_35))
| ~ sP0(U_28,U_29,U_35) ),
inference(clausify,[status(thm)],[f_12_8]) ).
cnf(f_12_15,plain,
( U_29 = U_28
| ~ rr(U_35,U_28)
| ~ rr(U_35,U_29)
| ~ sP0(U_28,U_29,U_35) ),
inference(clausify,[status(thm)],[f_12_8]) ).
fof(f_13_1,plain,
! [X] :
( ~ cd(X)
| ~ cc(X) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_13_2,plain,
! [U_37] :
( ~ cd(U_37)
| ~ cc(U_37) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_37] :
( ~ cd(U_37)
| ~ cc(U_37) ),
inference(definitional_conversion,[status(esa)],[f_13_2]) ).
cnf(f_13_4,plain,
( ~ cd(U_37)
| ~ cc(U_37) ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_14_2,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(definitional_conversion,[status(esa)],[f_14_1]) ).
cnf(f_14_3,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(t1,plain,
( ~ cd(sK1(i2003_11_14_17_20_18265))
| ~ cc(sK1(i2003_11_14_17_20_18265)) ),
inference(start,[status(thm),parent(0:0)],[f_13_4]) ).
cnf(t2,plain,
( ~ sP0(U_491,U_492,i2003_11_14_17_20_18265)
| cc(sK1(i2003_11_14_17_20_18265)) ),
inference(extension,[status(thm),parent(t1:1)],[f_12_12]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_18265)
| sP0(U_491,U_492,i2003_11_14_17_20_18265) ),
inference(extension,[status(thm),parent(t2:2)],[f_12_9]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(extension,[status(thm),parent(t4:2)],[f_14_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ cd(sK2(i2003_11_14_17_20_18265))
| sK2(i2003_11_14_17_20_18265) != sK1(i2003_11_14_17_20_18265)
| cd(sK1(i2003_11_14_17_20_18265)) ),
inference(extension,[status(thm),parent(t1:2)],[f_3_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:2]) ).
cnf(t10,plain,
( ~ rr(i2003_11_14_17_20_18265,sK2(i2003_11_14_17_20_18265))
| ~ rr(i2003_11_14_17_20_18265,sK1(i2003_11_14_17_20_18265))
| ~ sP0(sK1(i2003_11_14_17_20_18265),sK2(i2003_11_14_17_20_18265),i2003_11_14_17_20_18265)
| sK2(i2003_11_14_17_20_18265) = sK1(i2003_11_14_17_20_18265) ),
inference(extension,[status(thm),parent(t8:2)],[f_12_15]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_18265)
| sP0(sK1(i2003_11_14_17_20_18265),sK2(i2003_11_14_17_20_18265),i2003_11_14_17_20_18265) ),
inference(extension,[status(thm),parent(t10:2)],[f_12_9]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(extension,[status(thm),parent(t12:2)],[f_14_3]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ sP0(U_505,U_506,i2003_11_14_17_20_18265)
| rr(i2003_11_14_17_20_18265,sK1(i2003_11_14_17_20_18265)) ),
inference(extension,[status(thm),parent(t10:3)],[f_12_11]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t10:3]) ).
cnf(t18,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_18265)
| sP0(U_505,U_506,i2003_11_14_17_20_18265) ),
inference(extension,[status(thm),parent(t16:2)],[f_12_9]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(extension,[status(thm),parent(t18:2)],[f_14_3]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ sP0(U_511,U_512,i2003_11_14_17_20_18265)
| rr(i2003_11_14_17_20_18265,sK2(i2003_11_14_17_20_18265)) ),
inference(extension,[status(thm),parent(t10:4)],[f_12_13]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t10:4]) ).
cnf(t24,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_18265)
| sP0(U_511,U_512,i2003_11_14_17_20_18265) ),
inference(extension,[status(thm),parent(t22:2)],[f_12_9]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(extension,[status(thm),parent(t24:2)],[f_14_3]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
( ~ sP0(U_517,U_518,i2003_11_14_17_20_18265)
| cd(sK2(i2003_11_14_17_20_18265)) ),
inference(extension,[status(thm),parent(t8:3)],[f_12_14]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t8:3]) ).
cnf(t30,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_18265)
| sP0(U_517,U_518,i2003_11_14_17_20_18265) ),
inference(extension,[status(thm),parent(t28:2)],[f_12_9]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
cUnsatisfiable(i2003_11_14_17_20_18265),
inference(extension,[status(thm),parent(t30:2)],[f_14_3]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS096+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_UNS_RFO_SEQ 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
% 0.10/20.40 % Computer : n004.cluster.edu
% 0.10/20.40 % Model : x86_64 x86_64
% 0.10/20.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/20.40 % Memory : 8046.5625MB
% 0.10/20.40 % OS : Linux 6.8.0-71-generic
% 0.10/20.40 % CPULimit : 300
% 0.10/20.40 % WCLimit : 300
% 0.10/20.40 % DateTime : Sat Sep 19 12:12:25 UTC 2026
% 0.10/20.40 % CPUTime :
% 0.15/20.71 % SZS status Unsatisfiable for theBenchmark
% 0.15/20.71 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------