%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : RNG061+2 : 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 : 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 08:55:03 AM UTC 2026
% Result : Theorem 36.26s 36.55s
% Output : Proof 36.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 105 ( 52 unt; 0 def)
% Number of atoms : 234 ( 55 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 220 ( 91 ~; 93 |; 29 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 82 ( 1 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSumSc,axiom,
! [W0,W1] :
( ( aScalar0(W1)
& aScalar0(W0) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('theBenchmark.p',mSumSc) ).
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(mArith,axiom,
! [W0,W1,W2] :
( ( aScalar0(W2)
& aScalar0(W1)
& aScalar0(W0) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
& sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
& sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
& sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ),
file('theBenchmark.p',mArith) ).
fof(mLEASm,axiom,
! [W0,W1] :
( ( aScalar0(W1)
& aScalar0(W0) )
=> ( ( sdtlseqdt0(W1,W0)
& sdtlseqdt0(W0,W1) )
=> W0 = W1 ) ),
file('theBenchmark.p',mLEASm) ).
fof(mLETot,axiom,
! [W0,W1] :
( ( aScalar0(W1)
& aScalar0(W0) )
=> ( sdtlseqdt0(W1,W0)
| sdtlseqdt0(W0,W1) ) ),
file('theBenchmark.p',mLETot) ).
fof(m__1892,hypothesis,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('theBenchmark.p',m__1892) ).
fof(m__1930,hypothesis,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('theBenchmark.p',m__1930) ).
fof(m__1949,hypothesis,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('theBenchmark.p',m__1949) ).
fof(m__2180,hypothesis,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('theBenchmark.p',m__2180) ).
fof(m__,conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
file('theBenchmark.p',m__) ).
fof(f_10_1,plain,
! [W0,W1] :
( aScalar0(sdtpldt0(W0,W1))
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(fof_nnf,[status(thm)],[mSumSc]) ).
fof(f_10_2,plain,
! [U_11,U_10] :
( aScalar0(sdtpldt0(U_11,U_10))
| ~ aScalar0(U_10)
| ~ aScalar0(U_11) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_10,U_11] :
( aScalar0(sdtpldt0(U_11,U_10))
| ~ aScalar0(U_10)
| ~ aScalar0(U_11) ),
inference(definitional_conversion,[status(esa)],[f_10_2]) ).
cnf(f_10_4,plain,
( aScalar0(sdtpldt0(U_11,U_10))
| ~ aScalar0(U_10)
| ~ aScalar0(U_11) ),
inference(clausify,[status(thm)],[f_10_3]) ).
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]) ).
fof(f_11_3,plain,
! [U_13,U_12] :
( aScalar0(sdtasdt0(U_13,U_12))
| ~ aScalar0(U_12)
| ~ aScalar0(U_13) ),
inference(definitional_conversion,[status(esa)],[f_11_2]) ).
cnf(f_11_4,plain,
( aScalar0(sdtasdt0(U_13,U_12))
| ~ aScalar0(U_12)
| ~ aScalar0(U_13) ),
inference(clausify,[status(thm)],[f_11_3]) ).
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]) ).
fof(f_12_3,plain,
! [U_14] :
( aScalar0(smndt0(U_14))
| ~ aScalar0(U_14) ),
inference(definitional_conversion,[status(esa)],[f_12_2]) ).
cnf(f_12_4,plain,
( aScalar0(smndt0(U_14))
| ~ aScalar0(U_14) ),
inference(clausify,[status(thm)],[f_12_3]) ).
fof(f_14_1,plain,
! [W0,W1,W2] :
( ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
& sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
& sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
& sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) )
| ~ aScalar0(W2)
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(fof_nnf,[status(thm)],[mArith]) ).
fof(f_14_2,plain,
! [U_18,U_17,U_16] :
( ( sdtasdt0(U_18,U_17) = sdtasdt0(U_17,U_18)
& sdtasdt0(sdtasdt0(U_18,U_17),U_16) = sdtasdt0(U_18,sdtasdt0(U_17,U_16))
& sdtpldt0(U_18,U_17) = sdtpldt0(U_17,U_18)
& sdtpldt0(sdtpldt0(U_18,U_17),U_16) = sdtpldt0(U_18,sdtpldt0(U_17,U_16)) )
| ~ aScalar0(U_16)
| ~ aScalar0(U_17)
| ~ aScalar0(U_18) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_17,U_16,U_18] :
( sdtasdt0(U_18,U_17) = sdtasdt0(U_17,U_18)
| ~ sP3(U_17,U_16,U_18) )
& ! [U_17,U_16,U_18] :
( sdtasdt0(sdtasdt0(U_18,U_17),U_16) = sdtasdt0(U_18,sdtasdt0(U_17,U_16))
| ~ sP3(U_17,U_16,U_18) )
& ! [U_17,U_16,U_18] :
( sdtpldt0(U_18,U_17) = sdtpldt0(U_17,U_18)
| ~ sP3(U_17,U_16,U_18) )
& ! [U_17,U_16,U_18] :
( sdtpldt0(sdtpldt0(U_18,U_17),U_16) = sdtpldt0(U_18,sdtpldt0(U_17,U_16))
| ~ sP3(U_17,U_16,U_18) )
& ! [U_17,U_16,U_18] :
( sP3(U_17,U_16,U_18)
| ~ aScalar0(U_16)
| ~ aScalar0(U_17)
| ~ aScalar0(U_18) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3])],[f_14_2]) ).
cnf(f_14_4,plain,
( sP3(U_17,U_16,U_18)
| ~ aScalar0(U_16)
| ~ aScalar0(U_17)
| ~ aScalar0(U_18) ),
inference(clausify,[status(thm)],[f_14_3]) ).
cnf(f_14_6,plain,
( sdtpldt0(U_18,U_17) = sdtpldt0(U_17,U_18)
| ~ sP3(U_17,U_16,U_18) ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_21_1,plain,
! [W0,W1] :
( W0 = W1
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(fof_nnf,[status(thm)],[mLEASm]) ).
fof(f_21_2,plain,
! [U_34,U_33] :
( U_34 = U_33
| ~ sdtlseqdt0(U_33,U_34)
| ~ sdtlseqdt0(U_34,U_33)
| ~ aScalar0(U_33)
| ~ aScalar0(U_34) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_33,U_34] :
( U_34 = U_33
| ~ sdtlseqdt0(U_33,U_34)
| ~ sdtlseqdt0(U_34,U_33)
| ~ aScalar0(U_33)
| ~ aScalar0(U_34) ),
inference(definitional_conversion,[status(esa)],[f_21_2]) ).
cnf(f_21_4,plain,
( U_34 = U_33
| ~ sdtlseqdt0(U_33,U_34)
| ~ sdtlseqdt0(U_34,U_33)
| ~ aScalar0(U_33)
| ~ aScalar0(U_34) ),
inference(clausify,[status(thm)],[f_21_3]) ).
fof(f_25_1,plain,
! [W0,W1] :
( sdtlseqdt0(W1,W0)
| sdtlseqdt0(W0,W1)
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(fof_nnf,[status(thm)],[mLETot]) ).
fof(f_25_2,plain,
! [U_47,U_46] :
( sdtlseqdt0(U_46,U_47)
| sdtlseqdt0(U_47,U_46)
| ~ aScalar0(U_46)
| ~ aScalar0(U_47) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
! [U_47,U_46] :
( sdtlseqdt0(U_46,U_47)
| sdtlseqdt0(U_47,U_46)
| ~ aScalar0(U_46)
| ~ aScalar0(U_47) ),
inference(definitional_conversion,[status(esa)],[f_25_2]) ).
cnf(f_25_4,plain,
( sdtlseqdt0(U_46,U_47)
| sdtlseqdt0(U_47,U_46)
| ~ aScalar0(U_46)
| ~ aScalar0(U_47) ),
inference(clausify,[status(thm)],[f_25_3]) ).
fof(f_52_1,plain,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
inference(fof_nnf,[status(thm)],[m__1892]) ).
fof(f_52_2,plain,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
inference(definitional_conversion,[status(esa)],[f_52_1]) ).
cnf(f_52_3,plain,
aScalar0(xR),
inference(clausify,[status(thm)],[f_52_2]) ).
fof(f_54_1,plain,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
inference(fof_nnf,[status(thm)],[m__1930]) ).
fof(f_54_2,plain,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
inference(definitional_conversion,[status(esa)],[f_54_1]) ).
cnf(f_54_3,plain,
aScalar0(xS),
inference(clausify,[status(thm)],[f_54_2]) ).
fof(f_55_1,plain,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
inference(fof_nnf,[status(thm)],[m__1949]) ).
fof(f_55_2,plain,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
inference(definitional_conversion,[status(esa)],[f_55_1]) ).
cnf(f_55_3,plain,
aScalar0(xN),
inference(clausify,[status(thm)],[f_55_2]) ).
fof(f_59_1,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(fof_nnf,[status(thm)],[m__2180]) ).
fof(f_59_2,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(definitional_conversion,[status(esa)],[f_59_1]) ).
cnf(f_59_3,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(clausify,[status(thm)],[f_59_2]) ).
fof(f_60_1,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
inference(negate,[status(cth)],[m__]) ).
fof(f_60_2,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
inference(definitional_conversion,[status(esa)],[f_60_1]) ).
cnf(f_60_3,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
inference(clausify,[status(thm)],[f_60_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_5,axiom,
( sdtpldt0(Eq_x_0,Eq_x_1) = sdtpldt0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(t1,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
inference(start,[status(thm),parent(0:0)],[f_60_3]) ).
cnf(t2,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)))
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)))
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) ),
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,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(extension,[status(thm),parent(t2:2)],[f_59_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)) != sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))
| sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)) != sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))
| sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) ),
inference(extension,[status(thm),parent(t2:3)],[equality_5]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)) = sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)) ),
inference(extension,[status(thm),parent(t6:2)],[f_21_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xR,xR))
| aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))) ),
inference(extension,[status(thm),parent(t8:2)],[f_10_4]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| aScalar0(sdtasdt0(xR,xR)) ),
inference(extension,[status(thm),parent(t10:2)],[f_11_4]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
aScalar0(xR),
inference(extension,[status(thm),parent(t12:2)],[f_52_3]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(l7,lemma,
aScalar0(xR),
inference(lemma,[status(cth),parent(t12:2),below(t10:2)],[t12:2]) ).
cnf(t16,plain,
aScalar0(xR),
inference(lemma_extension,[status(thm),parent(t12:3)],[l7:1]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
( ~ aScalar0(xN)
| aScalar0(smndt0(xN)) ),
inference(extension,[status(thm),parent(t10:3)],[f_12_4]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t10:3]) ).
cnf(t20,plain,
aScalar0(xN),
inference(extension,[status(thm),parent(t18:2)],[f_55_3]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(l5,lemma,
aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))),
inference(lemma,[status(cth),parent(t8:2),below(t6:2)],[t8:2]) ).
cnf(t22,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)))
| sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))) ),
inference(extension,[status(thm),parent(t8:3)],[f_25_4]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t8:3]) ).
cnf(t24,plain,
aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))),
inference(lemma_extension,[status(thm),parent(t22:2)],[l5:1]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
$false,
inference(reduction,[status(thm),parent(t22:3)],[t22:3,t8:3]) ).
cnf(t27,plain,
aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))),
inference(lemma_extension,[status(thm),parent(t22:4)],[l5:1]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t22:4]) ).
cnf(l10,lemma,
sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))),
inference(lemma,[status(cth),parent(t8:3),below(t6:2)],[t8:3]) ).
cnf(t29,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))),
inference(lemma_extension,[status(thm),parent(t8:4)],[l10:1]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t8:4]) ).
cnf(t31,plain,
aScalar0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))),
inference(lemma_extension,[status(thm),parent(t8:5)],[l5:1]) ).
cnf(t32,plain,
$false,
inference(connection,[status(thm),parent(t31:1)],[t31:1,t8:5]) ).
cnf(t33,plain,
( ~ sP3(sdtasdt0(xS,xS),xN,smndt0(xN))
| sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)) = sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)) ),
inference(extension,[status(thm),parent(t6:3)],[f_14_6]) ).
cnf(t34,plain,
$false,
inference(connection,[status(thm),parent(t33:1)],[t33:1,t6:3]) ).
cnf(t35,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(xN)
| ~ aScalar0(smndt0(xN))
| sP3(sdtasdt0(xS,xS),xN,smndt0(xN)) ),
inference(extension,[status(thm),parent(t33:2)],[f_14_4]) ).
cnf(t36,plain,
$false,
inference(connection,[status(thm),parent(t35:1)],[t35:1,t33:2]) ).
cnf(t37,plain,
( ~ aScalar0(xN)
| aScalar0(smndt0(xN)) ),
inference(extension,[status(thm),parent(t35:2)],[f_12_4]) ).
cnf(t38,plain,
$false,
inference(connection,[status(thm),parent(t37:1)],[t37:1,t35:2]) ).
cnf(t39,plain,
aScalar0(xN),
inference(extension,[status(thm),parent(t37:2)],[f_55_3]) ).
cnf(t40,plain,
$false,
inference(connection,[status(thm),parent(t39:1)],[t39:1,t37:2]) ).
cnf(t41,plain,
aScalar0(xN),
inference(extension,[status(thm),parent(t35:3)],[f_55_3]) ).
cnf(t42,plain,
$false,
inference(connection,[status(thm),parent(t41:1)],[t41:1,t35:3]) ).
cnf(t43,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xS)
| aScalar0(sdtasdt0(xS,xS)) ),
inference(extension,[status(thm),parent(t35:4)],[f_11_4]) ).
cnf(t44,plain,
$false,
inference(connection,[status(thm),parent(t43:1)],[t43:1,t35:4]) ).
cnf(t45,plain,
aScalar0(xS),
inference(extension,[status(thm),parent(t43:2)],[f_54_3]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t43:2]) ).
cnf(l18,lemma,
aScalar0(xS),
inference(lemma,[status(cth),parent(t43:2),below(t35:4)],[t43:2]) ).
cnf(t47,plain,
aScalar0(xS),
inference(lemma_extension,[status(thm),parent(t43:3)],[l18:1]) ).
cnf(t48,plain,
$false,
inference(connection,[status(thm),parent(t47:1)],[t47:1,t43:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG061+2 : 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
% 0.09/0.35 % Computer : n017.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
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat Sep 19 20:42:13 UTC 2026
% 0.13/0.36 % CPUTime :
% 36.26/36.55 % SZS status Theorem for theBenchmark
% 36.26/36.55 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------