%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS074+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 : n017.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 08:47:13 AM UTC 2026
% Result : Unsatisfiable 6.46s 11.75s
% Output : Proof 6.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 33 ( 15 unt; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 189 ( 71 ~; 68 |; 48 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 73 ( 7 sgn 47 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rs(X,Y)
=> ~ cp(Y) )
& ? [Y] :
( ? [Z] :
( cp(Z)
& rinvS(Y,Z) )
& cp(Y)
& rs(X,Y) ) ) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_9,axiom,
cUnsatisfiable(i2003_11_14_17_18_59896),
file('theBenchmark.p',axiom_9) ).
fof(f_21_1,plain,
! [X] :
( ( cUnsatisfiable(X)
| ? [Y] :
( cp(Y)
& rs(X,Y) )
| ! [Y] :
( ! [Z] :
( ~ cp(Z)
| ~ rinvS(Y,Z) )
| ~ cp(Y)
| ~ rs(X,Y) ) )
& ( ( ! [Y] :
( ~ cp(Y)
| ~ rs(X,Y) )
& ? [Y] :
( ? [Z] :
( cp(Z)
& rinvS(Y,Z) )
& cp(Y)
& rs(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_21_2,plain,
! [U_60] :
( ( cUnsatisfiable(U_60)
| ? [U_59] :
( cp(U_59)
& rs(U_60,U_59) )
| ! [U_58] :
( ! [U_57] :
( ~ cp(U_57)
| ~ rinvS(U_58,U_57) )
| ~ cp(U_58)
| ~ rs(U_60,U_58) ) )
& ( ( ! [U_56] :
( ~ cp(U_56)
| ~ rs(U_60,U_56) )
& ? [U_55] :
( ? [U_54] :
( cp(U_54)
& rinvS(U_55,U_54) )
& cp(U_55)
& rs(U_60,U_55) ) )
| ~ cUnsatisfiable(U_60) ) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
( ! [U_62] :
( cUnsatisfiable(U_62)
| ? [U_59] :
( cp(U_59)
& rs(U_62,U_59) )
| ! [U_58] :
( ! [U_57] :
( ~ cp(U_57)
| ~ rinvS(U_58,U_57) )
| ~ cp(U_58)
| ~ rs(U_62,U_58) ) )
& ! [U_61] :
( ( ! [U_56] :
( ~ cp(U_56)
| ~ rs(U_61,U_56) )
& ? [U_55] :
( ? [U_54] :
( cp(U_54)
& rinvS(U_55,U_54) )
& cp(U_55)
& rs(U_61,U_55) ) )
| ~ cUnsatisfiable(U_61) ) ),
inference(miniscope,[status(thm)],[f_21_2]) ).
fof(f_21_4,plain,
( ! [U_62] :
( cUnsatisfiable(U_62)
| ? [U_59] :
( cp(U_59)
& rs(U_62,U_59) )
| ! [U_58] :
( ! [U_57] :
( ~ cp(U_57)
| ~ rinvS(U_58,U_57) )
| ~ cp(U_58)
| ~ rs(U_62,U_58) ) )
& ! [U_61] :
( ( ! [U_56] :
( ~ cp(U_56)
| ~ rs(U_61,U_56) )
& ? [U_54] :
( cp(U_54)
& rinvS(sK1(U_61),U_54) )
& cp(sK1(U_61))
& rs(U_61,sK1(U_61)) )
| ~ cUnsatisfiable(U_61) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_55,sK1(U_61))],[f_21_3]) ).
fof(f_21_5,plain,
( ! [U_62] :
( cUnsatisfiable(U_62)
| ? [U_59] :
( cp(U_59)
& rs(U_62,U_59) )
| ! [U_58] :
( ! [U_57] :
( ~ cp(U_57)
| ~ rinvS(U_58,U_57) )
| ~ cp(U_58)
| ~ rs(U_62,U_58) ) )
& ! [U_61] :
( ( ! [U_56] :
( ~ cp(U_56)
| ~ rs(U_61,U_56) )
& cp(sK2(U_61))
& rinvS(sK1(U_61),sK2(U_61))
& cp(sK1(U_61))
& rs(U_61,sK1(U_61)) )
| ~ cUnsatisfiable(U_61) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_54,sK2(U_61))],[f_21_4]) ).
fof(f_21_6,plain,
( ! [U_62] :
( cUnsatisfiable(U_62)
| ( cp(sK3(U_62))
& rs(U_62,sK3(U_62)) )
| ! [U_58] :
( ! [U_57] :
( ~ cp(U_57)
| ~ rinvS(U_58,U_57) )
| ~ cp(U_58)
| ~ rs(U_62,U_58) ) )
& ! [U_61] :
( ( ! [U_56] :
( ~ cp(U_56)
| ~ rs(U_61,U_56) )
& cp(sK2(U_61))
& rinvS(sK1(U_61),sK2(U_61))
& cp(sK1(U_61))
& rs(U_61,sK1(U_61)) )
| ~ cUnsatisfiable(U_61) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_59,sK3(U_62))],[f_21_5]) ).
fof(f_21_7,plain,
( ! [U_62] :
( cp(sK3(U_62))
| ~ sP1(U_62) )
& ! [U_62] :
( rs(U_62,sK3(U_62))
| ~ sP1(U_62) )
& ! [U_56,U_61] :
( ~ cp(U_56)
| ~ rs(U_61,U_56)
| ~ sP0(U_56,U_61) )
& ! [U_56,U_61] :
( cp(sK2(U_61))
| ~ sP0(U_56,U_61) )
& ! [U_56,U_61] :
( rinvS(sK1(U_61),sK2(U_61))
| ~ sP0(U_56,U_61) )
& ! [U_56,U_61] :
( cp(sK1(U_61))
| ~ sP0(U_56,U_61) )
& ! [U_56,U_61] :
( rs(U_61,sK1(U_61))
| ~ sP0(U_56,U_61) )
& ! [U_58,U_57,U_62] :
( cUnsatisfiable(U_62)
| sP1(U_62)
| ~ cp(U_57)
| ~ rinvS(U_58,U_57)
| ~ cp(U_58)
| ~ rs(U_62,U_58) )
& ! [U_56,U_61] :
( sP0(U_56,U_61)
| ~ cUnsatisfiable(U_61) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_21_6]) ).
cnf(f_21_8,plain,
( sP0(U_56,U_61)
| ~ cUnsatisfiable(U_61) ),
inference(clausify,[status(thm)],[f_21_7]) ).
cnf(f_21_10,plain,
( rs(U_61,sK1(U_61))
| ~ sP0(U_56,U_61) ),
inference(clausify,[status(thm)],[f_21_7]) ).
cnf(f_21_11,plain,
( cp(sK1(U_61))
| ~ sP0(U_56,U_61) ),
inference(clausify,[status(thm)],[f_21_7]) ).
cnf(f_21_14,plain,
( ~ cp(U_56)
| ~ rs(U_61,U_56)
| ~ sP0(U_56,U_61) ),
inference(clausify,[status(thm)],[f_21_7]) ).
fof(f_28_1,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_28_2,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(definitional_conversion,[status(esa)],[f_28_1]) ).
cnf(f_28_3,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(t1,plain,
( ~ rs(i2003_11_14_17_18_59896,sK1(i2003_11_14_17_18_59896))
| ~ cp(sK1(i2003_11_14_17_18_59896))
| ~ sP0(sK1(i2003_11_14_17_18_59896),i2003_11_14_17_18_59896) ),
inference(start,[status(thm),parent(0:0)],[f_21_14]) ).
cnf(t2,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| sP0(sK1(i2003_11_14_17_18_59896),i2003_11_14_17_18_59896) ),
inference(extension,[status(thm),parent(t1:1)],[f_21_8]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(extension,[status(thm),parent(t2:2)],[f_28_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ sP0(U_851,i2003_11_14_17_18_59896)
| cp(sK1(i2003_11_14_17_18_59896)) ),
inference(extension,[status(thm),parent(t1:2)],[f_21_11]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).
cnf(t8,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| sP0(U_851,i2003_11_14_17_18_59896) ),
inference(extension,[status(thm),parent(t6:2)],[f_21_8]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(extension,[status(thm),parent(t8:2)],[f_28_3]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ sP0(U_855,i2003_11_14_17_18_59896)
| rs(i2003_11_14_17_18_59896,sK1(i2003_11_14_17_18_59896)) ),
inference(extension,[status(thm),parent(t1:3)],[f_21_10]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t1:3]) ).
cnf(t14,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| sP0(U_855,i2003_11_14_17_18_59896) ),
inference(extension,[status(thm),parent(t12:2)],[f_21_8]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(extension,[status(thm),parent(t14:2)],[f_28_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS074+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 This is a FOF_UNS_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n017.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sat Sep 19 12:06:46 UTC 2026
% 0.08/5.36 % CPUTime :
% 6.46/11.75 % SZS status Unsatisfiable for theBenchmark
% 6.46/11.75 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------