%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUN067+1 : TPTP v9.3.1. Released v7.3.0.
% 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 : n008.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 08:53:48 AM UTC 2026
% Result : Theorem 0.15s 5.45s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 17 unt; 0 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 141 ( 55 ~; 40 |; 46 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% Number of variables : 104 ( 6 sgn 52 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_8,axiom,
! [X26,X27] :
( ( r1(X27)
& r1(X26) )
| ( ~ r1(X27)
& ~ r1(X26) )
| ~ id(X26,X27) ),
file('NUM009+0.ax',axiom_8) ).
fof(axiom_9,axiom,
! [X28,X29,X30,X31] :
( ( r2(X30,X31)
& r2(X28,X29) )
| ( ~ r2(X30,X31)
& ~ r2(X28,X29) )
| ~ id(X29,X31)
| ~ id(X28,X30) ),
file('NUM009+0.ax',axiom_9) ).
fof(axiom_2a,axiom,
! [X2,X9] :
? [Y2] :
( ? [Y6] :
( r4(X2,X9,Y6)
& r3(Y6,X2,Y2) )
& ? [Y3] :
( ? [Y14] :
( r4(X2,Y14,Y3)
& r2(X9,Y14) )
& id(Y3,Y2) ) ),
file('NUM009+0.ax',axiom_2a) ).
fof(axiom_7a,axiom,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( ~ r1(Y20)
| ~ id(Y20,Y10) ) ),
file('NUM009+0.ax',axiom_7a) ).
fof(nonzerosexistid,conjecture,
? [Y1] :
! [Y2] :
( ~ r1(Y2)
| ~ id(Y1,Y2) ),
file('theBenchmark.p',nonzerosexistid) ).
fof(f_8_1,plain,
! [X26,X27] :
( ( r1(X27)
& r1(X26) )
| ( ~ r1(X27)
& ~ r1(X26) )
| ~ id(X26,X27) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_8_2,plain,
! [U_20,U_19] :
( ( r1(U_19)
& r1(U_20) )
| ( ~ r1(U_19)
& ~ r1(U_20) )
| ~ id(U_20,U_19) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_5,plain,
( r1(U_20)
| ~ r1(U_19)
| ~ id(U_20,U_19) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [X28,X29,X30,X31] :
( ( r2(X30,X31)
& r2(X28,X29) )
| ( ~ r2(X30,X31)
& ~ r2(X28,X29) )
| ~ id(X29,X31)
| ~ id(X28,X30) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_9_2,plain,
! [U_24,U_23,U_22,U_21] :
( ( r2(U_22,U_21)
& r2(U_24,U_23) )
| ( ~ r2(U_22,U_21)
& ~ r2(U_24,U_23) )
| ~ id(U_23,U_21)
| ~ id(U_24,U_22) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_24,U_23,U_22] :
( ! [U_21] :
( ( r2(U_22,U_21)
& r2(U_24,U_23) )
| ( ~ r2(U_22,U_21)
& ~ r2(U_24,U_23) )
| ~ id(U_23,U_21) )
| ~ id(U_24,U_22) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
cnf(f_9_5,plain,
( r2(U_22,U_21)
| ~ r2(U_24,U_23)
| ~ id(U_23,U_21)
| ~ id(U_24,U_22) ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_13_1,plain,
! [X2,X9] :
? [Y2] :
( ? [Y6] :
( r4(X2,X9,Y6)
& r3(Y6,X2,Y2) )
& ? [Y3] :
( ? [Y14] :
( r4(X2,Y14,Y3)
& r2(X9,Y14) )
& id(Y3,Y2) ) ),
inference(fof_nnf,[status(thm)],[axiom_2a]) ).
fof(f_13_2,plain,
! [U_48,U_47] :
? [U_46] :
( ? [U_45] :
( r4(U_48,U_47,U_45)
& r3(U_45,U_48,U_46) )
& ? [U_44] :
( ? [U_43] :
( r4(U_48,U_43,U_44)
& r2(U_47,U_43) )
& id(U_44,U_46) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_48,U_47] :
( ? [U_45] :
( r4(U_48,U_47,U_45)
& r3(U_45,U_48,sK9(U_48,U_47)) )
& ? [U_44] :
( ? [U_43] :
( r4(U_48,U_43,U_44)
& r2(U_47,U_43) )
& id(U_44,sK9(U_48,U_47)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_46,sK9(U_48,U_47))],[f_13_2]) ).
fof(f_13_4,plain,
! [U_48,U_47] :
( ? [U_45] :
( r4(U_48,U_47,U_45)
& r3(U_45,U_48,sK9(U_48,U_47)) )
& ? [U_43] :
( r4(U_48,U_43,sK10(U_48,U_47))
& r2(U_47,U_43) )
& id(sK10(U_48,U_47),sK9(U_48,U_47)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_44,sK10(U_48,U_47))],[f_13_3]) ).
fof(f_13_5,plain,
! [U_48,U_47] :
( ? [U_45] :
( r4(U_48,U_47,U_45)
& r3(U_45,U_48,sK9(U_48,U_47)) )
& r4(U_48,sK11(U_48,U_47),sK10(U_48,U_47))
& r2(U_47,sK11(U_48,U_47))
& id(sK10(U_48,U_47),sK9(U_48,U_47)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_43,sK11(U_48,U_47))],[f_13_4]) ).
fof(f_13_6,plain,
! [U_48,U_47] :
( r4(U_48,U_47,sK12(U_48,U_47))
& r3(sK12(U_48,U_47),U_48,sK9(U_48,U_47))
& r4(U_48,sK11(U_48,U_47),sK10(U_48,U_47))
& r2(U_47,sK11(U_48,U_47))
& id(sK10(U_48,U_47),sK9(U_48,U_47)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_45,sK12(U_48,U_47))],[f_13_5]) ).
cnf(f_13_8,plain,
r2(U_47,sK11(U_48,U_47)),
inference(clausify,[status(thm)],[f_13_6]) ).
fof(f_18_1,plain,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( ~ r1(Y20)
| ~ id(Y20,Y10) ) ),
inference(fof_nnf,[status(thm)],[axiom_7a]) ).
fof(f_18_2,plain,
! [U_66,U_65] :
( ~ r2(U_66,U_65)
| ! [U_64] :
( ~ r1(U_64)
| ~ id(U_64,U_65) ) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
( ~ r2(U_66,U_65)
| ~ r1(U_64)
| ~ id(U_64,U_65) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,negated_conjecture,
~ ? [Y1] :
! [Y2] :
( ~ r1(Y2)
| ~ id(Y1,Y2) ),
inference(negate,[status(cth)],[nonzerosexistid]) ).
fof(f_19_2,negated_conjecture,
! [Y1] :
? [Y2] :
( r1(Y2)
& id(Y1,Y2) ),
inference(fof_nnf,[status(thm)],[f_19_1]) ).
fof(f_19_3,negated_conjecture,
! [U_68] :
? [U_67] :
( r1(U_67)
& id(U_68,U_67) ),
inference(variable_rename,[status(thm)],[f_19_2]) ).
fof(f_19_4,negated_conjecture,
! [U_68] :
( r1(sK21(U_68))
& id(U_68,sK21(U_68)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_67,sK21(U_68))],[f_19_3]) ).
fof(f_19_5,negated_conjecture,
( ! [U_68] : r1(sK21(U_68))
& ! [U_68] : id(U_68,sK21(U_68)) ),
inference(definitional_conversion,[status(esa)],[f_19_4]) ).
cnf(f_19_6,negated_conjecture,
id(U_68,sK21(U_68)),
inference(clausify,[status(thm)],[f_19_5]) ).
cnf(f_19_7,negated_conjecture,
r1(sK21(U_68)),
inference(clausify,[status(thm)],[f_19_5]) ).
cnf(t1,plain,
( ~ r1(sK11(U_579,U_578))
| ~ r2(sK21(U_578),sK21(sK11(U_579,U_578)))
| ~ id(sK11(U_579,U_578),sK21(sK11(U_579,U_578))) ),
inference(start,[status(thm),parent(0:0)],[f_18_3]) ).
cnf(t2,plain,
id(sK11(U_579,U_578),sK21(sK11(U_579,U_578))),
inference(extension,[status(thm),parent(t1:1)],[f_19_6]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ id(sK11(U_579,U_578),sK21(sK11(U_579,U_578)))
| ~ r2(U_578,sK11(U_579,U_578))
| ~ id(U_578,sK21(U_578))
| r2(sK21(U_578),sK21(sK11(U_579,U_578))) ),
inference(extension,[status(thm),parent(t1:2)],[f_9_5]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
id(U_578,sK21(U_578)),
inference(extension,[status(thm),parent(t4:2)],[f_19_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
r2(U_578,sK11(U_579,U_578)),
inference(extension,[status(thm),parent(t4:3)],[f_13_8]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
id(sK11(U_579,U_578),sK21(sK11(U_579,U_578))),
inference(extension,[status(thm),parent(t4:4)],[f_19_6]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:4]) ).
cnf(t12,plain,
( ~ r1(sK21(sK11(U_579,U_578)))
| ~ id(sK11(U_579,U_578),sK21(sK11(U_579,U_578)))
| r1(sK11(U_579,U_578)) ),
inference(extension,[status(thm),parent(t1:3)],[f_8_5]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t1:3]) ).
cnf(t14,plain,
id(sK11(U_579,U_578),sK21(sK11(U_579,U_578))),
inference(extension,[status(thm),parent(t12:2)],[f_19_6]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
r1(sK21(sK11(U_579,U_578))),
inference(extension,[status(thm),parent(t12:3)],[f_19_7]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN067+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 This is a FOF_THM_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
% 0.10/5.37 % Computer : n008.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sat Sep 19 19:30:32 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.15/5.45 % SZS status Theorem for theBenchmark
% 0.15/5.45 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------