%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM494+1 : TPTP v9.3.1. Released v4.0.0.
% 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 : n011.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 08:52:24 AM UTC 2026
% Result : Theorem 172.95s 173.24s
% Output : Proof 172.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 162 ( 123 unt; 1 def)
% Number of atoms : 310 ( 63 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 272 ( 124 ~; 113 |; 28 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsB,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> aNaturalNumber0(sdtpldt0(W0,W1)) ),
file('theBenchmark.p',mSortsB) ).
fof(mDefDiff,definition,
! [W0,W1] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> ( sdtlseqdt0(W0,W1)
=> ! [W2] :
( W2 = sdtmndt0(W1,W0)
<=> ( sdtpldt0(W0,W2) = W1
& aNaturalNumber0(W2) ) ) ) ),
file('theBenchmark.p',mDefDiff) ).
fof(mMonAdd,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W0) )
=> ( ( sdtlseqdt0(W0,W1)
& W0 != W1 )
=> ! [W2] :
( aNaturalNumber0(W2)
=> ( sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2))
& sdtpldt0(W0,W2) != sdtpldt0(W1,W2)
& sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))
& sdtpldt0(W2,W0) != sdtpldt0(W2,W1) ) ) ) ),
file('theBenchmark.p',mMonAdd) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('theBenchmark.p',m__1837) ).
fof(m__1870,hypothesis,
sdtlseqdt0(xp,xn),
file('theBenchmark.p',m__1870) ).
fof(m__1883,hypothesis,
xr = sdtmndt0(xn,xp),
file('theBenchmark.p',m__1883) ).
fof(m__1894,hypothesis,
( sdtlseqdt0(xr,xn)
& xr != xn ),
file('theBenchmark.p',m__1894) ).
fof(m__,conjecture,
( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp) ),
file('theBenchmark.p',m__) ).
fof(f_4_1,plain,
! [W0,W1] :
( aNaturalNumber0(sdtpldt0(W0,W1))
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(fof_nnf,[status(thm)],[mSortsB]) ).
fof(f_4_2,plain,
! [U_2,U_1] :
( aNaturalNumber0(sdtpldt0(U_2,U_1))
| ~ aNaturalNumber0(U_1)
| ~ aNaturalNumber0(U_2) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( aNaturalNumber0(sdtpldt0(U_2,U_1))
| ~ aNaturalNumber0(U_1)
| ~ aNaturalNumber0(U_2) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_19_1,plain,
! [W0,W1] :
( ! [W2] :
( ( W2 = sdtmndt0(W1,W0)
| sdtpldt0(W0,W2) != W1
| ~ aNaturalNumber0(W2) )
& ( ( sdtpldt0(W0,W2) = W1
& aNaturalNumber0(W2) )
| W2 != sdtmndt0(W1,W0) ) )
| ~ sdtlseqdt0(W0,W1)
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(fof_nnf,[status(thm)],[mDefDiff]) ).
fof(f_19_2,plain,
! [U_37,U_36] :
( ! [U_35] :
( ( U_35 = sdtmndt0(U_36,U_37)
| sdtpldt0(U_37,U_35) != U_36
| ~ aNaturalNumber0(U_35) )
& ( ( sdtpldt0(U_37,U_35) = U_36
& aNaturalNumber0(U_35) )
| U_35 != sdtmndt0(U_36,U_37) ) )
| ~ sdtlseqdt0(U_37,U_36)
| ~ aNaturalNumber0(U_36)
| ~ aNaturalNumber0(U_37) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_37,U_36] :
( ( ! [U_39] :
( U_39 = sdtmndt0(U_36,U_37)
| sdtpldt0(U_37,U_39) != U_36
| ~ aNaturalNumber0(U_39) )
& ! [U_38] :
( ( sdtpldt0(U_37,U_38) = U_36
& aNaturalNumber0(U_38) )
| U_38 != sdtmndt0(U_36,U_37) ) )
| ~ sdtlseqdt0(U_37,U_36)
| ~ aNaturalNumber0(U_36)
| ~ aNaturalNumber0(U_37) ),
inference(miniscope,[status(thm)],[f_19_2]) ).
cnf(f_19_4,plain,
( aNaturalNumber0(U_38)
| U_38 != sdtmndt0(U_36,U_37)
| ~ sdtlseqdt0(U_37,U_36)
| ~ aNaturalNumber0(U_36)
| ~ aNaturalNumber0(U_37) ),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_24_1,plain,
! [W0,W1] :
( ! [W2] :
( ( sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2))
& sdtpldt0(W0,W2) != sdtpldt0(W1,W2)
& sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))
& sdtpldt0(W2,W0) != sdtpldt0(W2,W1) )
| ~ aNaturalNumber0(W2) )
| ~ sdtlseqdt0(W0,W1)
| W0 = W1
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W0) ),
inference(fof_nnf,[status(thm)],[mMonAdd]) ).
fof(f_24_2,plain,
! [U_50,U_49] :
( ! [U_48] :
( ( sdtlseqdt0(sdtpldt0(U_50,U_48),sdtpldt0(U_49,U_48))
& sdtpldt0(U_50,U_48) != sdtpldt0(U_49,U_48)
& sdtlseqdt0(sdtpldt0(U_48,U_50),sdtpldt0(U_48,U_49))
& sdtpldt0(U_48,U_50) != sdtpldt0(U_48,U_49) )
| ~ aNaturalNumber0(U_48) )
| ~ sdtlseqdt0(U_50,U_49)
| U_50 = U_49
| ~ aNaturalNumber0(U_49)
| ~ aNaturalNumber0(U_50) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_5,plain,
( sdtpldt0(U_50,U_48) != sdtpldt0(U_49,U_48)
| ~ aNaturalNumber0(U_48)
| ~ sdtlseqdt0(U_50,U_49)
| U_50 = U_49
| ~ aNaturalNumber0(U_49)
| ~ aNaturalNumber0(U_50) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_6,plain,
( sdtlseqdt0(sdtpldt0(U_50,U_48),sdtpldt0(U_49,U_48))
| ~ aNaturalNumber0(U_48)
| ~ sdtlseqdt0(U_50,U_49)
| U_50 = U_49
| ~ aNaturalNumber0(U_49)
| ~ aNaturalNumber0(U_50) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_39_1,plain,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
inference(fof_nnf,[status(thm)],[m__1837]) ).
cnf(f_39_2,plain,
aNaturalNumber0(xn),
inference(clausify,[status(thm)],[f_39_1]) ).
cnf(f_39_3,plain,
aNaturalNumber0(xm),
inference(clausify,[status(thm)],[f_39_1]) ).
cnf(f_39_4,plain,
aNaturalNumber0(xp),
inference(clausify,[status(thm)],[f_39_1]) ).
fof(f_42_1,plain,
sdtlseqdt0(xp,xn),
inference(fof_nnf,[status(thm)],[m__1870]) ).
cnf(f_42_2,plain,
sdtlseqdt0(xp,xn),
inference(clausify,[status(thm)],[f_42_1]) ).
fof(f_43_1,plain,
xr = sdtmndt0(xn,xp),
inference(fof_nnf,[status(thm)],[m__1883]) ).
cnf(f_43_2,plain,
xr = sdtmndt0(xn,xp),
inference(clausify,[status(thm)],[f_43_1]) ).
fof(f_44_1,plain,
( sdtlseqdt0(xr,xn)
& xr != xn ),
inference(fof_nnf,[status(thm)],[m__1894]) ).
cnf(f_44_2,plain,
xr != xn,
inference(clausify,[status(thm)],[f_44_1]) ).
cnf(f_44_3,plain,
sdtlseqdt0(xr,xn),
inference(clausify,[status(thm)],[f_44_1]) ).
fof(f_46_1,negated_conjecture,
~ ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(negate,[status(cth)],[m__]) ).
fof(f_46_2,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(fof_nnf,[status(thm)],[f_46_1]) ).
cnf(f_46_3,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(clausify,[status(thm)],[f_46_2]) ).
cnf(t1,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(start,[status(thm),parent(0:0)],[f_46_3]) ).
cnf(t2,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| sdtpldt0(xr,xm) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp) ),
inference(extension,[status(thm),parent(t1:1)],[f_24_5]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(extension,[status(thm),parent(t2:2)],[f_4_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xp,xn)
| xr != sdtmndt0(xn,xp)
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(xr) ),
inference(extension,[status(thm),parent(t4:2)],[f_19_4]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
aNaturalNumber0(xp),
inference(extension,[status(thm),parent(t6:2)],[f_39_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
xr = sdtmndt0(xn,xp),
inference(extension,[status(thm),parent(t6:3)],[f_43_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
sdtlseqdt0(xp,xn),
inference(extension,[status(thm),parent(t6:4)],[f_42_2]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).
cnf(t14,plain,
aNaturalNumber0(xn),
inference(extension,[status(thm),parent(t6:5)],[f_39_2]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:5]) ).
cnf(t16,plain,
aNaturalNumber0(xm),
inference(extension,[status(thm),parent(t4:3)],[f_39_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t4:3]) ).
cnf(t18,plain,
aNaturalNumber0(xp),
inference(extension,[status(thm),parent(t2:3)],[f_39_4]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:3]) ).
cnf(t20,plain,
( ~ aNaturalNumber0(xn)
| xr = xn
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm)) ),
inference(extension,[status(thm),parent(t2:4)],[f_24_6]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t2:4]) ).
cnf(t22,plain,
( ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xp,xn)
| xr != sdtmndt0(xn,xp)
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(xr) ),
inference(extension,[status(thm),parent(t20:2)],[f_19_4]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
aNaturalNumber0(xp),
inference(extension,[status(thm),parent(t22:2)],[f_39_4]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
xr = sdtmndt0(xn,xp),
inference(extension,[status(thm),parent(t22:3)],[f_43_2]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t22:3]) ).
cnf(t28,plain,
sdtlseqdt0(xp,xn),
inference(extension,[status(thm),parent(t22:4)],[f_42_2]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t22:4]) ).
cnf(t30,plain,
aNaturalNumber0(xn),
inference(extension,[status(thm),parent(t22:5)],[f_39_2]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t22:5]) ).
cnf(t32,plain,
aNaturalNumber0(xm),
inference(extension,[status(thm),parent(t20:3)],[f_39_3]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t20:3]) ).
cnf(t34,plain,
sdtlseqdt0(xr,xn),
inference(extension,[status(thm),parent(t20:4)],[f_44_3]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t20:4]) ).
cnf(t36,plain,
xr != xn,
inference(extension,[status(thm),parent(t20:5)],[f_44_2]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t20:5]) ).
cnf(t38,plain,
aNaturalNumber0(xn),
inference(extension,[status(thm),parent(t20:6)],[f_39_2]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t20:6]) ).
cnf(t40,plain,
( ~ aNaturalNumber0(xn)
| xr = xn
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| sdtpldt0(xr,xm) != sdtpldt0(xn,xm) ),
inference(extension,[status(thm),parent(t2:5)],[f_24_5]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t2:5]) ).
cnf(t42,plain,
( ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xp,xn)
| xr != sdtmndt0(xn,xp)
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(xr) ),
inference(extension,[status(thm),parent(t40:2)],[f_19_4]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
aNaturalNumber0(xp),
inference(extension,[status(thm),parent(t42:2)],[f_39_4]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
xr = sdtmndt0(xn,xp),
inference(extension,[status(thm),parent(t42:3)],[f_43_2]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t42:3]) ).
cnf(t48,plain,
sdtlseqdt0(xp,xn),
inference(extension,[status(thm),parent(t42:4)],[f_42_2]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t42:4]) ).
cnf(t50,plain,
aNaturalNumber0(xn),
inference(extension,[status(thm),parent(t42:5)],[f_39_2]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t42:5]) ).
cnf(t52,plain,
aNaturalNumber0(xm),
inference(extension,[status(thm),parent(t40:3)],[f_39_3]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t40:3]) ).
cnf(t54,plain,
sdtlseqdt0(xr,xn),
inference(extension,[status(thm),parent(t40:4)],[f_44_3]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t40:4]) ).
cnf(t56,plain,
xr != xn,
inference(extension,[status(thm),parent(t40:5)],[f_44_2]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t40:5]) ).
cnf(t58,plain,
aNaturalNumber0(xn),
inference(extension,[status(thm),parent(t40:6)],[f_39_2]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t40:6]) ).
cnf(t60,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(extension,[status(thm),parent(t2:6)],[f_4_3]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t2:6]) ).
cnf(t62,plain,
aNaturalNumber0(xn),
inference(extension,[status(thm),parent(t60:2)],[f_39_2]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
aNaturalNumber0(xm),
inference(extension,[status(thm),parent(t60:3)],[f_39_3]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t60:3]) ).
cnf(t66,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| sdtpldt0(xr,xm) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(extension,[status(thm),parent(t1:2)],[f_24_6]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t1:2]) ).
cnf(t68,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(extension,[status(thm),parent(t66:2)],[f_4_3]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
( ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xp,xn)
| xr != sdtmndt0(xn,xp)
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(xr) ),
inference(extension,[status(thm),parent(t68:2)],[f_19_4]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t68:2]) ).
cnf(t72,plain,
aNaturalNumber0(xp),
inference(extension,[status(thm),parent(t70:2)],[f_39_4]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t70:2]) ).
cnf(t74,plain,
xr = sdtmndt0(xn,xp),
inference(extension,[status(thm),parent(t70:3)],[f_43_2]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t70:3]) ).
cnf(t76,plain,
sdtlseqdt0(xp,xn),
inference(extension,[status(thm),parent(t70:4)],[f_42_2]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t70:4]) ).
cnf(t78,plain,
aNaturalNumber0(xn),
inference(extension,[status(thm),parent(t70:5)],[f_39_2]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t70:5]) ).
cnf(t80,plain,
aNaturalNumber0(xm),
inference(extension,[status(thm),parent(t68:3)],[f_39_3]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t68:3]) ).
cnf(t82,plain,
aNaturalNumber0(xp),
inference(extension,[status(thm),parent(t66:3)],[f_39_4]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t66:3]) ).
cnf(t84,plain,
( ~ aNaturalNumber0(xn)
| xr = xn
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm)) ),
inference(extension,[status(thm),parent(t66:4)],[f_24_6]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t66:4]) ).
cnf(t86,plain,
( ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xp,xn)
| xr != sdtmndt0(xn,xp)
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(xr) ),
inference(extension,[status(thm),parent(t84:2)],[f_19_4]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t84:2]) ).
cnf(t88,plain,
aNaturalNumber0(xp),
inference(extension,[status(thm),parent(t86:2)],[f_39_4]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t86:2]) ).
cnf(t90,plain,
xr = sdtmndt0(xn,xp),
inference(extension,[status(thm),parent(t86:3)],[f_43_2]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t86:3]) ).
cnf(t92,plain,
sdtlseqdt0(xp,xn),
inference(extension,[status(thm),parent(t86:4)],[f_42_2]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t86:4]) ).
cnf(t94,plain,
aNaturalNumber0(xn),
inference(extension,[status(thm),parent(t86:5)],[f_39_2]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t86:5]) ).
cnf(t96,plain,
aNaturalNumber0(xm),
inference(extension,[status(thm),parent(t84:3)],[f_39_3]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t84:3]) ).
cnf(t98,plain,
sdtlseqdt0(xr,xn),
inference(extension,[status(thm),parent(t84:4)],[f_44_3]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t84:4]) ).
cnf(t100,plain,
xr != xn,
inference(extension,[status(thm),parent(t84:5)],[f_44_2]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t84:5]) ).
cnf(t102,plain,
aNaturalNumber0(xn),
inference(extension,[status(thm),parent(t84:6)],[f_39_2]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t84:6]) ).
cnf(t104,plain,
( ~ aNaturalNumber0(xn)
| xr = xn
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| sdtpldt0(xr,xm) != sdtpldt0(xn,xm) ),
inference(extension,[status(thm),parent(t66:5)],[f_24_5]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t66:5]) ).
cnf(t106,plain,
( ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xp,xn)
| xr != sdtmndt0(xn,xp)
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(xr) ),
inference(extension,[status(thm),parent(t104:2)],[f_19_4]) ).
cnf(t107,plain,
$false,
inference(connection,[status(thm),parent(t106:1)],[t106:1,t104:2]) ).
cnf(t108,plain,
aNaturalNumber0(xp),
inference(extension,[status(thm),parent(t106:2)],[f_39_4]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t106:2]) ).
cnf(t110,plain,
xr = sdtmndt0(xn,xp),
inference(extension,[status(thm),parent(t106:3)],[f_43_2]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t106:3]) ).
cnf(t112,plain,
sdtlseqdt0(xp,xn),
inference(extension,[status(thm),parent(t106:4)],[f_42_2]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t106:4]) ).
cnf(t114,plain,
aNaturalNumber0(xn),
inference(extension,[status(thm),parent(t106:5)],[f_39_2]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t106:5]) ).
cnf(t116,plain,
aNaturalNumber0(xm),
inference(extension,[status(thm),parent(t104:3)],[f_39_3]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t104:3]) ).
cnf(t118,plain,
sdtlseqdt0(xr,xn),
inference(extension,[status(thm),parent(t104:4)],[f_44_3]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t104:4]) ).
cnf(t120,plain,
xr != xn,
inference(extension,[status(thm),parent(t104:5)],[f_44_2]) ).
cnf(t121,plain,
$false,
inference(connection,[status(thm),parent(t120:1)],[t120:1,t104:5]) ).
cnf(t122,plain,
aNaturalNumber0(xn),
inference(extension,[status(thm),parent(t104:6)],[f_39_2]) ).
cnf(t123,plain,
$false,
inference(connection,[status(thm),parent(t122:1)],[t122:1,t104:6]) ).
cnf(t124,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(extension,[status(thm),parent(t66:6)],[f_4_3]) ).
cnf(t125,plain,
$false,
inference(connection,[status(thm),parent(t124:1)],[t124:1,t66:6]) ).
cnf(t126,plain,
aNaturalNumber0(xn),
inference(extension,[status(thm),parent(t124:2)],[f_39_2]) ).
cnf(t127,plain,
$false,
inference(connection,[status(thm),parent(t126:1)],[t126:1,t124:2]) ).
cnf(t128,plain,
aNaturalNumber0(xm),
inference(extension,[status(thm),parent(t124:3)],[f_39_3]) ).
cnf(t129,plain,
$false,
inference(connection,[status(thm),parent(t128:1)],[t128:1,t124:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM494+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 This is a FOF_THM_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
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 19 18:37:09 UTC 2026
% 0.10/0.36 % CPUTime :
% 172.95/173.24 % SZS status Theorem for theBenchmark
% 172.95/173.24 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------