%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : RNG079+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 : n002.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 08:55:07 AM UTC 2026
% Result : Theorem 256.97s 262.31s
% Output : Proof 256.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 61 ( 38 unt; 0 def)
% Number of atoms : 106 ( 28 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 77 ( 32 ~; 29 |; 15 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDistr2,axiom,
! [W0,W1,W2,W3] :
( ( aScalar0(W3)
& aScalar0(W2)
& aScalar0(W1)
& aScalar0(W0) )
=> sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ),
file('theBenchmark.p',mDistr2) ).
fof(m__1783,hypothesis,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('theBenchmark.p',m__1783) ).
fof(m__1800,hypothesis,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('theBenchmark.p',m__1800) ).
fof(m__1820,hypothesis,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('theBenchmark.p',m__1820) ).
fof(m__1837,hypothesis,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('theBenchmark.p',m__1837) ).
fof(m__1854,hypothesis,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('theBenchmark.p',m__1854) ).
fof(m__1873,hypothesis,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('theBenchmark.p',m__1873) ).
fof(m__2905,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
file('theBenchmark.p',m__2905) ).
fof(m__,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('theBenchmark.p',m__) ).
fof(f_16_1,plain,
! [W0,W1,W2,W3] :
( sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3)))
| ~ aScalar0(W3)
| ~ aScalar0(W2)
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(fof_nnf,[status(thm)],[mDistr2]) ).
fof(f_16_2,plain,
! [U_25,U_24,U_23,U_22] :
( sdtasdt0(sdtpldt0(U_25,U_24),sdtpldt0(U_23,U_22)) = sdtpldt0(sdtpldt0(sdtasdt0(U_25,U_23),sdtasdt0(U_25,U_22)),sdtpldt0(sdtasdt0(U_24,U_23),sdtasdt0(U_24,U_22)))
| ~ aScalar0(U_22)
| ~ aScalar0(U_23)
| ~ aScalar0(U_24)
| ~ aScalar0(U_25) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( sdtasdt0(sdtpldt0(U_25,U_24),sdtpldt0(U_23,U_22)) = sdtpldt0(sdtpldt0(sdtasdt0(U_25,U_23),sdtasdt0(U_25,U_22)),sdtpldt0(sdtasdt0(U_24,U_23),sdtasdt0(U_24,U_22)))
| ~ aScalar0(U_22)
| ~ aScalar0(U_23)
| ~ aScalar0(U_24)
| ~ aScalar0(U_25) ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_46_1,plain,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
inference(fof_nnf,[status(thm)],[m__1783]) ).
cnf(f_46_2,plain,
aScalar0(xC),
inference(clausify,[status(thm)],[f_46_1]) ).
fof(f_47_1,plain,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
inference(fof_nnf,[status(thm)],[m__1800]) ).
cnf(f_47_2,plain,
aScalar0(xD),
inference(clausify,[status(thm)],[f_47_1]) ).
fof(f_48_1,plain,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
inference(fof_nnf,[status(thm)],[m__1820]) ).
cnf(f_48_2,plain,
aScalar0(xE),
inference(clausify,[status(thm)],[f_48_1]) ).
fof(f_49_1,plain,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
inference(fof_nnf,[status(thm)],[m__1837]) ).
cnf(f_49_2,plain,
aScalar0(xF),
inference(clausify,[status(thm)],[f_49_1]) ).
fof(f_50_1,plain,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
inference(fof_nnf,[status(thm)],[m__1854]) ).
cnf(f_50_2,plain,
aScalar0(xG),
inference(clausify,[status(thm)],[f_50_1]) ).
fof(f_51_1,plain,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
inference(fof_nnf,[status(thm)],[m__1873]) ).
cnf(f_51_2,plain,
aScalar0(xH),
inference(clausify,[status(thm)],[f_51_1]) ).
fof(f_60_1,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(fof_nnf,[status(thm)],[m__2905]) ).
cnf(f_60_2,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(clausify,[status(thm)],[f_60_1]) ).
fof(f_61_1,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(negate,[status(cth)],[m__]) ).
cnf(f_61_2,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(clausify,[status(thm)],[f_61_1]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_17,axiom,
( sdtlseqdt0(Eq_y_0,Eq_y_1)
| ~ sdtlseqdt0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(t1,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(start,[status(thm),parent(0:0)],[f_61_2]) ).
cnf(t2,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))))
| sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))) != sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))
| sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH))
| sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(extension,[status(thm),parent(t1:1)],[equality_17]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) != sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH)))
| sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) ),
inference(extension,[status(thm),parent(t2:2)],[equality_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ aScalar0(xE)
| sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) ),
inference(extension,[status(thm),parent(t4:2)],[f_16_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
aScalar0(xE),
inference(extension,[status(thm),parent(t6:2)],[f_48_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(l4,lemma,
aScalar0(xE),
inference(lemma,[status(cth),parent(t6:2),below(t4:2)],[t6:2]) ).
cnf(t10,plain,
aScalar0(xE),
inference(lemma_extension,[status(thm),parent(t6:3)],[l4:1]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
aScalar0(xH),
inference(extension,[status(thm),parent(t6:4)],[f_51_2]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).
cnf(l5,lemma,
aScalar0(xH),
inference(lemma,[status(cth),parent(t6:4),below(t4:2)],[t6:4]) ).
cnf(t14,plain,
aScalar0(xH),
inference(lemma_extension,[status(thm),parent(t6:5)],[l5:1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:5]) ).
cnf(t16,plain,
( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) != sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))
| sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))) = sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) ),
inference(extension,[status(thm),parent(t2:3)],[equality_2]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:3]) ).
cnf(t18,plain,
( ~ aScalar0(xG)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ aScalar0(xC)
| sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) = sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))) ),
inference(extension,[status(thm),parent(t16:2)],[f_16_3]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
aScalar0(xC),
inference(extension,[status(thm),parent(t18:2)],[f_46_2]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
aScalar0(xD),
inference(extension,[status(thm),parent(t18:3)],[f_47_2]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,plain,
aScalar0(xF),
inference(extension,[status(thm),parent(t18:4)],[f_49_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t18:4]) ).
cnf(t26,plain,
aScalar0(xG),
inference(extension,[status(thm),parent(t18:5)],[f_50_2]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t18:5]) ).
cnf(t28,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(extension,[status(thm),parent(t2:4)],[f_60_2]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG079+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
% 0.10/5.38 % Computer : n002.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sat Sep 19 20:53:22 UTC 2026
% 0.10/5.38 % CPUTime :
% 256.97/262.31 % SZS status Theorem for theBenchmark
% 256.97/262.31 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------