%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS086+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 08:47:14 AM UTC 2026
% Result : Unsatisfiable 0.31s 0.62s
% Output : Proof 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 65 ( 23 unt; 0 def)
% Number of atoms : 213 ( 12 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 248 ( 100 ~; 92 |; 51 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 108 ( 1 sgn 80 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cp1_substitution_1,axiom,
! [A,B] :
( ( cp1(A)
& A = B )
=> cp1(B) ),
file('theBenchmark.p',cp1_substitution_1) ).
fof(axiom_0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('theBenchmark.p',axiom_0) ).
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( cp1(Y)
& ? [Z] :
( ? [W] :
( ~ cp1(W)
& rf(Z,W) )
& rinvF(Y,Z) )
& rf(X,Y) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y1)
& rf(X,Y0) )
=> Y0 = Y1 ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_19_42328),
file('theBenchmark.p',axiom_7) ).
fof(f_4_1,plain,
! [A,B] :
( cp1(B)
| ~ cp1(A)
| A != B ),
inference(fof_nnf,[status(thm)],[cp1_substitution_1]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( cp1(U_6)
| ~ cp1(U_7)
| U_7 != U_6 ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_6,U_7] :
( cp1(U_6)
| ~ cp1(U_7)
| U_7 != U_6 ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( cp1(U_6)
| ~ cp1(U_7)
| U_7 != U_6 ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_15_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_15_2,plain,
! [U_36] :
( ~ cowlNothing(U_36)
& cowlThing(U_36) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_38] : ~ cowlNothing(U_38)
& ! [U_37] : cowlThing(U_37) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
( ! [U_38] : ~ cowlNothing(U_38)
& ! [U_37] : cowlThing(U_37) ),
inference(definitional_conversion,[status(esa)],[f_15_3]) ).
cnf(f_15_5,plain,
cowlThing(U_37),
inference(clausify,[status(thm)],[f_15_4]) ).
fof(f_17_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ! [Y] :
( ~ cp1(Y)
| ! [Z] :
( ! [W] :
( cp1(W)
| ~ rf(Z,W) )
| ~ rinvF(Y,Z) )
| ~ rf(X,Y) ) )
& ( ? [Y] :
( cp1(Y)
& ? [Z] :
( ? [W] :
( ~ cp1(W)
& rf(Z,W) )
& rinvF(Y,Z) )
& rf(X,Y) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_17_2,plain,
! [U_48] :
( ( cUnsatisfiable(U_48)
| ! [U_47] :
( ~ cp1(U_47)
| ! [U_46] :
( ! [U_45] :
( cp1(U_45)
| ~ rf(U_46,U_45) )
| ~ rinvF(U_47,U_46) )
| ~ rf(U_48,U_47) ) )
& ( ? [U_44] :
( cp1(U_44)
& ? [U_43] :
( ? [U_42] :
( ~ cp1(U_42)
& rf(U_43,U_42) )
& rinvF(U_44,U_43) )
& rf(U_48,U_44) )
| ~ cUnsatisfiable(U_48) ) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( ! [U_50] :
( cUnsatisfiable(U_50)
| ! [U_47] :
( ~ cp1(U_47)
| ! [U_46] :
( ! [U_45] :
( cp1(U_45)
| ~ rf(U_46,U_45) )
| ~ rinvF(U_47,U_46) )
| ~ rf(U_50,U_47) ) )
& ! [U_49] :
( ? [U_44] :
( cp1(U_44)
& ? [U_43] :
( ? [U_42] :
( ~ cp1(U_42)
& rf(U_43,U_42) )
& rinvF(U_44,U_43) )
& rf(U_49,U_44) )
| ~ cUnsatisfiable(U_49) ) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
fof(f_17_4,plain,
( ! [U_50] :
( cUnsatisfiable(U_50)
| ! [U_47] :
( ~ cp1(U_47)
| ! [U_46] :
( ! [U_45] :
( cp1(U_45)
| ~ rf(U_46,U_45) )
| ~ rinvF(U_47,U_46) )
| ~ rf(U_50,U_47) ) )
& ! [U_49] :
( ( cp1(sK1(U_49))
& ? [U_43] :
( ? [U_42] :
( ~ cp1(U_42)
& rf(U_43,U_42) )
& rinvF(sK1(U_49),U_43) )
& rf(U_49,sK1(U_49)) )
| ~ cUnsatisfiable(U_49) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_44,sK1(U_49))],[f_17_3]) ).
fof(f_17_5,plain,
( ! [U_50] :
( cUnsatisfiable(U_50)
| ! [U_47] :
( ~ cp1(U_47)
| ! [U_46] :
( ! [U_45] :
( cp1(U_45)
| ~ rf(U_46,U_45) )
| ~ rinvF(U_47,U_46) )
| ~ rf(U_50,U_47) ) )
& ! [U_49] :
( ( cp1(sK1(U_49))
& ? [U_42] :
( ~ cp1(U_42)
& rf(sK2(U_49),U_42) )
& rinvF(sK1(U_49),sK2(U_49))
& rf(U_49,sK1(U_49)) )
| ~ cUnsatisfiable(U_49) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_43,sK2(U_49))],[f_17_4]) ).
fof(f_17_6,plain,
( ! [U_50] :
( cUnsatisfiable(U_50)
| ! [U_47] :
( ~ cp1(U_47)
| ! [U_46] :
( ! [U_45] :
( cp1(U_45)
| ~ rf(U_46,U_45) )
| ~ rinvF(U_47,U_46) )
| ~ rf(U_50,U_47) ) )
& ! [U_49] :
( ( cp1(sK1(U_49))
& ~ cp1(sK3(U_49))
& rf(sK2(U_49),sK3(U_49))
& rinvF(sK1(U_49),sK2(U_49))
& rf(U_49,sK1(U_49)) )
| ~ cUnsatisfiable(U_49) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_42,sK3(U_49))],[f_17_5]) ).
fof(f_17_7,plain,
( ! [U_49] :
( cp1(sK1(U_49))
| ~ sP0(U_49) )
& ! [U_49] :
( ~ cp1(sK3(U_49))
| ~ sP0(U_49) )
& ! [U_49] :
( rf(sK2(U_49),sK3(U_49))
| ~ sP0(U_49) )
& ! [U_49] :
( rinvF(sK1(U_49),sK2(U_49))
| ~ sP0(U_49) )
& ! [U_49] :
( rf(U_49,sK1(U_49))
| ~ sP0(U_49) )
& ! [U_45,U_46,U_47,U_50] :
( cUnsatisfiable(U_50)
| ~ cp1(U_47)
| cp1(U_45)
| ~ rf(U_46,U_45)
| ~ rinvF(U_47,U_46)
| ~ rf(U_50,U_47) )
& ! [U_49] :
( sP0(U_49)
| ~ cUnsatisfiable(U_49) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_17_6]) ).
cnf(f_17_8,plain,
( sP0(U_49)
| ~ cUnsatisfiable(U_49) ),
inference(clausify,[status(thm)],[f_17_7]) ).
cnf(f_17_11,plain,
( rinvF(sK1(U_49),sK2(U_49))
| ~ sP0(U_49) ),
inference(clausify,[status(thm)],[f_17_7]) ).
cnf(f_17_12,plain,
( rf(sK2(U_49),sK3(U_49))
| ~ sP0(U_49) ),
inference(clausify,[status(thm)],[f_17_7]) ).
cnf(f_17_13,plain,
( ~ cp1(sK3(U_49))
| ~ sP0(U_49) ),
inference(clausify,[status(thm)],[f_17_7]) ).
cnf(f_17_14,plain,
( cp1(sK1(U_49))
| ~ sP0(U_49) ),
inference(clausify,[status(thm)],[f_17_7]) ).
fof(f_18_1,plain,
! [X] :
( ! [Y0,Y1] :
( Y0 = Y1
| ~ rf(X,Y1)
| ~ rf(X,Y0) )
| ~ cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_18_2,plain,
! [U_53] :
( ! [U_52,U_51] :
( U_52 = U_51
| ~ rf(U_53,U_51)
| ~ rf(U_53,U_52) )
| ~ cowlThing(U_53) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_53,U_52,U_51] :
( U_52 = U_51
| ~ rf(U_53,U_51)
| ~ rf(U_53,U_52)
| ~ cowlThing(U_53) ),
inference(definitional_conversion,[status(esa)],[f_18_2]) ).
cnf(f_18_4,plain,
( U_52 = U_51
| ~ rf(U_53,U_51)
| ~ rf(U_53,U_52)
| ~ cowlThing(U_53) ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
! [X,Y] :
( ( rinvF(X,Y)
| ~ rf(Y,X) )
& ( rf(Y,X)
| ~ rinvF(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_19_2,plain,
! [U_55,U_54] :
( ( rinvF(U_55,U_54)
| ~ rf(U_54,U_55) )
& ( rf(U_54,U_55)
| ~ rinvF(U_55,U_54) ) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
( ! [U_59,U_57] :
( rinvF(U_59,U_57)
| ~ rf(U_57,U_59) )
& ! [U_58,U_56] :
( rf(U_56,U_58)
| ~ rinvF(U_58,U_56) ) ),
inference(miniscope,[status(thm)],[f_19_2]) ).
fof(f_19_4,plain,
( ! [U_59,U_57] :
( rinvF(U_59,U_57)
| ~ rf(U_57,U_59) )
& ! [U_56,U_58] :
( rf(U_56,U_58)
| ~ rinvF(U_58,U_56) ) ),
inference(definitional_conversion,[status(esa)],[f_19_3]) ).
cnf(f_19_5,plain,
( rf(U_56,U_58)
| ~ rinvF(U_58,U_56) ),
inference(clausify,[status(thm)],[f_19_4]) ).
fof(f_22_1,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_22_2,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(definitional_conversion,[status(esa)],[f_22_1]) ).
cnf(f_22_3,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(clausify,[status(thm)],[f_22_2]) ).
cnf(t1,plain,
( ~ cp1(sK3(i2003_11_14_17_19_42328))
| ~ sP0(i2003_11_14_17_19_42328) ),
inference(start,[status(thm),parent(0:0)],[f_17_13]) ).
cnf(t2,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_42328)
| sP0(i2003_11_14_17_19_42328) ),
inference(extension,[status(thm),parent(t1:1)],[f_17_8]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(extension,[status(thm),parent(t2:2)],[f_22_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(l1,lemma,
sP0(i2003_11_14_17_19_42328),
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t6,plain,
( ~ cp1(sK1(i2003_11_14_17_19_42328))
| sK1(i2003_11_14_17_19_42328) != sK3(i2003_11_14_17_19_42328)
| cp1(sK3(i2003_11_14_17_19_42328)) ),
inference(extension,[status(thm),parent(t1:2)],[f_4_4]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).
cnf(t8,plain,
( ~ rf(sK2(i2003_11_14_17_19_42328),sK1(i2003_11_14_17_19_42328))
| ~ rf(sK2(i2003_11_14_17_19_42328),sK3(i2003_11_14_17_19_42328))
| ~ cowlThing(sK2(i2003_11_14_17_19_42328))
| sK1(i2003_11_14_17_19_42328) = sK3(i2003_11_14_17_19_42328) ),
inference(extension,[status(thm),parent(t6:2)],[f_18_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
cowlThing(sK2(i2003_11_14_17_19_42328)),
inference(extension,[status(thm),parent(t8:2)],[f_15_5]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ sP0(i2003_11_14_17_19_42328)
| rf(sK2(i2003_11_14_17_19_42328),sK3(i2003_11_14_17_19_42328)) ),
inference(extension,[status(thm),parent(t8:3)],[f_17_12]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
sP0(i2003_11_14_17_19_42328),
inference(lemma_extension,[status(thm),parent(t12:2)],[l1:1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ rinvF(sK1(i2003_11_14_17_19_42328),sK2(i2003_11_14_17_19_42328))
| rf(sK2(i2003_11_14_17_19_42328),sK1(i2003_11_14_17_19_42328)) ),
inference(extension,[status(thm),parent(t8:4)],[f_19_5]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:4]) ).
cnf(t18,plain,
( ~ sP0(i2003_11_14_17_19_42328)
| rinvF(sK1(i2003_11_14_17_19_42328),sK2(i2003_11_14_17_19_42328)) ),
inference(extension,[status(thm),parent(t16:2)],[f_17_11]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
sP0(i2003_11_14_17_19_42328),
inference(lemma_extension,[status(thm),parent(t18:2)],[l1:1]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ sP0(i2003_11_14_17_19_42328)
| cp1(sK1(i2003_11_14_17_19_42328)) ),
inference(extension,[status(thm),parent(t6:3)],[f_17_14]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t6:3]) ).
cnf(t24,plain,
sP0(i2003_11_14_17_19_42328),
inference(lemma_extension,[status(thm),parent(t22:2)],[l1:1]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS086+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
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 12:11:48 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.31/0.62 % SZS status Unsatisfiable for theBenchmark
% 0.31/0.62 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------