%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : RNG046+1 : TPTP v9.3.1. Released v4.0.0.
% 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 : n003.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 08:55:00 AM UTC 2026
% Result : Theorem 9.89s 10.14s
% Output : Proof 9.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 56 ( 27 unt; 0 def)
% Number of atoms : 124 ( 54 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 108 ( 40 ~; 36 |; 28 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mMulSc,axiom,
! [W0,W1] :
( ( aScalar0(W1)
& aScalar0(W0) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('theBenchmark.p',mMulSc) ).
fof(mNegSc,axiom,
! [W0] :
( aScalar0(W0)
=> aScalar0(smndt0(W0)) ),
file('theBenchmark.p',mNegSc) ).
fof(mScZero,axiom,
! [W0] :
( aScalar0(W0)
=> ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(W0)) = W0
& sdtpldt0(smndt0(W0),W0) = sz0z00
& sdtpldt0(W0,smndt0(W0)) = sz0z00
& sdtasdt0(sz0z00,W0) = sz0z00
& sdtasdt0(W0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,W0) = W0
& sdtpldt0(W0,sz0z00) = W0 ) ),
file('theBenchmark.p',mScZero) ).
fof(mMNeg,axiom,
! [W0,W1] :
( ( aScalar0(W1)
& aScalar0(W0) )
=> ( sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1))
& sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1)) ) ),
file('theBenchmark.p',mMNeg) ).
fof(m__799,hypothesis,
( aScalar0(xy)
& aScalar0(xx) ),
file('theBenchmark.p',m__799) ).
fof(m__,conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy),
file('theBenchmark.p',m__) ).
fof(f_11_1,plain,
! [W0,W1] :
( aScalar0(sdtasdt0(W0,W1))
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(fof_nnf,[status(thm)],[mMulSc]) ).
fof(f_11_2,plain,
! [U_13,U_12] :
( aScalar0(sdtasdt0(U_13,U_12))
| ~ aScalar0(U_12)
| ~ aScalar0(U_13) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( aScalar0(sdtasdt0(U_13,U_12))
| ~ aScalar0(U_12)
| ~ aScalar0(U_13) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
! [W0] :
( aScalar0(smndt0(W0))
| ~ aScalar0(W0) ),
inference(fof_nnf,[status(thm)],[mNegSc]) ).
fof(f_12_2,plain,
! [U_14] :
( aScalar0(smndt0(U_14))
| ~ aScalar0(U_14) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( aScalar0(smndt0(U_14))
| ~ aScalar0(U_14) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [W0] :
( ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(W0)) = W0
& sdtpldt0(smndt0(W0),W0) = sz0z00
& sdtpldt0(W0,smndt0(W0)) = sz0z00
& sdtasdt0(sz0z00,W0) = sz0z00
& sdtasdt0(W0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,W0) = W0
& sdtpldt0(W0,sz0z00) = W0 )
| ~ aScalar0(W0) ),
inference(fof_nnf,[status(thm)],[mScZero]) ).
fof(f_13_2,plain,
! [U_15] :
( ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(U_15)) = U_15
& sdtpldt0(smndt0(U_15),U_15) = sz0z00
& sdtpldt0(U_15,smndt0(U_15)) = sz0z00
& sdtasdt0(sz0z00,U_15) = sz0z00
& sdtasdt0(U_15,sz0z00) = sz0z00
& sdtpldt0(sz0z00,U_15) = U_15
& sdtpldt0(U_15,sz0z00) = U_15 )
| ~ aScalar0(U_15) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_9,plain,
( smndt0(smndt0(U_15)) = U_15
| ~ aScalar0(U_15) ),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_17_1,plain,
! [W0,W1] :
( ( sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1))
& sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1)) )
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(fof_nnf,[status(thm)],[mMNeg]) ).
fof(f_17_2,plain,
! [U_27,U_26] :
( ( sdtasdt0(smndt0(U_27),U_26) = smndt0(sdtasdt0(U_27,U_26))
& sdtasdt0(U_27,smndt0(U_26)) = smndt0(sdtasdt0(U_27,U_26)) )
| ~ aScalar0(U_26)
| ~ aScalar0(U_27) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( sdtasdt0(U_27,smndt0(U_26)) = smndt0(sdtasdt0(U_27,U_26))
| ~ aScalar0(U_26)
| ~ aScalar0(U_27) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_4,plain,
( sdtasdt0(smndt0(U_27),U_26) = smndt0(sdtasdt0(U_27,U_26))
| ~ aScalar0(U_26)
| ~ aScalar0(U_27) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
( aScalar0(xy)
& aScalar0(xx) ),
inference(fof_nnf,[status(thm)],[m__799]) ).
cnf(f_18_2,plain,
aScalar0(xx),
inference(clausify,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
aScalar0(xy),
inference(clausify,[status(thm)],[f_18_1]) ).
fof(f_19_1,negated_conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(negate,[status(cth)],[m__]) ).
fof(f_19_2,negated_conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(definitional_conversion,[status(esa)],[f_19_1]) ).
cnf(f_19_3,negated_conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(clausify,[status(thm)],[f_19_2]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_7,axiom,
( smndt0(Eq_x_0) = smndt0(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(t1,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(start,[status(thm),parent(0:0)],[f_19_3]) ).
cnf(t2,plain,
( smndt0(sdtasdt0(xx,smndt0(xy))) != sdtasdt0(xx,xy)
| sdtasdt0(smndt0(xx),smndt0(xy)) != smndt0(sdtasdt0(xx,smndt0(xy)))
| sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy) ),
inference(extension,[status(thm),parent(t1:1)],[equality_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ aScalar0(smndt0(xy))
| ~ aScalar0(xx)
| sdtasdt0(smndt0(xx),smndt0(xy)) = smndt0(sdtasdt0(xx,smndt0(xy))) ),
inference(extension,[status(thm),parent(t2:2)],[f_17_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
aScalar0(xx),
inference(extension,[status(thm),parent(t4:2)],[f_18_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ aScalar0(xy)
| aScalar0(smndt0(xy)) ),
inference(extension,[status(thm),parent(t4:3)],[f_12_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
aScalar0(xy),
inference(extension,[status(thm),parent(t8:2)],[f_18_3]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( smndt0(smndt0(sdtasdt0(xx,xy))) != sdtasdt0(xx,xy)
| smndt0(sdtasdt0(xx,smndt0(xy))) != smndt0(smndt0(sdtasdt0(xx,xy)))
| smndt0(sdtasdt0(xx,smndt0(xy))) = sdtasdt0(xx,xy) ),
inference(extension,[status(thm),parent(t2:3)],[equality_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:3]) ).
cnf(t14,plain,
( sdtasdt0(xx,smndt0(xy)) != smndt0(sdtasdt0(xx,xy))
| smndt0(sdtasdt0(xx,smndt0(xy))) = smndt0(smndt0(sdtasdt0(xx,xy))) ),
inference(extension,[status(thm),parent(t12:2)],[equality_7]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ aScalar0(xy)
| ~ aScalar0(xx)
| sdtasdt0(xx,smndt0(xy)) = smndt0(sdtasdt0(xx,xy)) ),
inference(extension,[status(thm),parent(t14:2)],[f_17_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
aScalar0(xx),
inference(extension,[status(thm),parent(t16:2)],[f_18_2]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
aScalar0(xy),
inference(extension,[status(thm),parent(t16:3)],[f_18_3]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
cnf(t22,plain,
( ~ aScalar0(sdtasdt0(xx,xy))
| smndt0(smndt0(sdtasdt0(xx,xy))) = sdtasdt0(xx,xy) ),
inference(extension,[status(thm),parent(t12:3)],[f_13_9]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t12:3]) ).
cnf(t24,plain,
( ~ aScalar0(xy)
| ~ aScalar0(xx)
| aScalar0(sdtasdt0(xx,xy)) ),
inference(extension,[status(thm),parent(t22:2)],[f_11_3]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
aScalar0(xx),
inference(extension,[status(thm),parent(t24:2)],[f_18_2]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
aScalar0(xy),
inference(extension,[status(thm),parent(t24:3)],[f_18_3]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t24:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG046+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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 19 20:46:44 UTC 2026
% 0.12/0.36 % CPUTime :
% 9.89/10.14 % SZS status Theorem for theBenchmark
% 9.89/10.14 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------