%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS063+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 : n010.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 08:47:11 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.53s
% Output : Proof 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 16 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 95 ( 41 ~; 31 |; 21 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 46 ( 1 sgn 37 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('theBenchmark.p',axiom_0) ).
fof(axiom_3,axiom,
! [X] :
( cEuroMP(X)
<=> ? [Y] :
( cowlThing(Y)
& risEuroMPFrom(X,Y) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_5,axiom,
! [X,Y] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_10,axiom,
~ cEuroMP(iKinnock),
file('theBenchmark.p',axiom_10) ).
fof(axiom_14,axiom,
rhasEuroMP(iUK,iKinnock),
file('theBenchmark.p',axiom_14) ).
fof(f_13_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_13_2,plain,
! [U_28] :
( ~ cowlNothing(U_28)
& cowlThing(U_28) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_30] : ~ cowlNothing(U_30)
& ! [U_29] : cowlThing(U_29) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
fof(f_13_4,plain,
( ! [U_30] : ~ cowlNothing(U_30)
& ! [U_29] : cowlThing(U_29) ),
inference(definitional_conversion,[status(esa)],[f_13_3]) ).
cnf(f_13_5,plain,
cowlThing(U_29),
inference(clausify,[status(thm)],[f_13_4]) ).
fof(f_16_1,plain,
! [X] :
( ( cEuroMP(X)
| ! [Y] :
( ~ cowlThing(Y)
| ~ risEuroMPFrom(X,Y) ) )
& ( ? [Y] :
( cowlThing(Y)
& risEuroMPFrom(X,Y) )
| ~ cEuroMP(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_16_2,plain,
! [U_39] :
( ( cEuroMP(U_39)
| ! [U_38] :
( ~ cowlThing(U_38)
| ~ risEuroMPFrom(U_39,U_38) ) )
& ( ? [U_37] :
( cowlThing(U_37)
& risEuroMPFrom(U_39,U_37) )
| ~ cEuroMP(U_39) ) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
( ! [U_41] :
( cEuroMP(U_41)
| ! [U_38] :
( ~ cowlThing(U_38)
| ~ risEuroMPFrom(U_41,U_38) ) )
& ! [U_40] :
( ? [U_37] :
( cowlThing(U_37)
& risEuroMPFrom(U_40,U_37) )
| ~ cEuroMP(U_40) ) ),
inference(miniscope,[status(thm)],[f_16_2]) ).
fof(f_16_4,plain,
( ! [U_41] :
( cEuroMP(U_41)
| ! [U_38] :
( ~ cowlThing(U_38)
| ~ risEuroMPFrom(U_41,U_38) ) )
& ! [U_40] :
( ( cowlThing(sK1(U_40))
& risEuroMPFrom(U_40,sK1(U_40)) )
| ~ cEuroMP(U_40) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_37,sK1(U_40))],[f_16_3]) ).
fof(f_16_5,plain,
( ! [U_40] :
( cowlThing(sK1(U_40))
| ~ sP1(U_40) )
& ! [U_40] :
( risEuroMPFrom(U_40,sK1(U_40))
| ~ sP1(U_40) )
& ! [U_38,U_41] :
( cEuroMP(U_41)
| ~ cowlThing(U_38)
| ~ risEuroMPFrom(U_41,U_38) )
& ! [U_40] :
( sP1(U_40)
| ~ cEuroMP(U_40) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_16_4]) ).
cnf(f_16_7,plain,
( cEuroMP(U_41)
| ~ cowlThing(U_38)
| ~ risEuroMPFrom(U_41,U_38) ),
inference(clausify,[status(thm)],[f_16_5]) ).
fof(f_18_1,plain,
! [X,Y] :
( ( risEuroMPFrom(X,Y)
| ~ rhasEuroMP(Y,X) )
& ( rhasEuroMP(Y,X)
| ~ risEuroMPFrom(X,Y) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_18_2,plain,
! [U_45,U_44] :
( ( risEuroMPFrom(U_45,U_44)
| ~ rhasEuroMP(U_44,U_45) )
& ( rhasEuroMP(U_44,U_45)
| ~ risEuroMPFrom(U_45,U_44) ) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
( ! [U_49,U_47] :
( risEuroMPFrom(U_49,U_47)
| ~ rhasEuroMP(U_47,U_49) )
& ! [U_48,U_46] :
( rhasEuroMP(U_46,U_48)
| ~ risEuroMPFrom(U_48,U_46) ) ),
inference(miniscope,[status(thm)],[f_18_2]) ).
fof(f_18_4,plain,
( ! [U_47,U_49] :
( risEuroMPFrom(U_49,U_47)
| ~ rhasEuroMP(U_47,U_49) )
& ! [U_46,U_48] :
( rhasEuroMP(U_46,U_48)
| ~ risEuroMPFrom(U_48,U_46) ) ),
inference(definitional_conversion,[status(esa)],[f_18_3]) ).
cnf(f_18_6,plain,
( risEuroMPFrom(U_49,U_47)
| ~ rhasEuroMP(U_47,U_49) ),
inference(clausify,[status(thm)],[f_18_4]) ).
fof(f_23_1,plain,
~ cEuroMP(iKinnock),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_23_2,plain,
~ cEuroMP(iKinnock),
inference(definitional_conversion,[status(esa)],[f_23_1]) ).
cnf(f_23_3,plain,
~ cEuroMP(iKinnock),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_27_1,plain,
rhasEuroMP(iUK,iKinnock),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
fof(f_27_2,plain,
rhasEuroMP(iUK,iKinnock),
inference(definitional_conversion,[status(esa)],[f_27_1]) ).
cnf(f_27_3,plain,
rhasEuroMP(iUK,iKinnock),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(t1,plain,
~ cEuroMP(iKinnock),
inference(start,[status(thm),parent(0:0)],[f_23_3]) ).
cnf(t2,plain,
( ~ cowlThing(iUK)
| ~ risEuroMPFrom(iKinnock,iUK)
| cEuroMP(iKinnock) ),
inference(extension,[status(thm),parent(t1:1)],[f_16_7]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ rhasEuroMP(iUK,iKinnock)
| risEuroMPFrom(iKinnock,iUK) ),
inference(extension,[status(thm),parent(t2:2)],[f_18_6]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
rhasEuroMP(iUK,iKinnock),
inference(extension,[status(thm),parent(t4:2)],[f_27_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
cowlThing(iUK),
inference(extension,[status(thm),parent(t2:3)],[f_13_5]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS063+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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 19 12:12:08 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.25/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.53 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------