TSTP Solution File: RNG046+1 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : RNG046+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Mar 6 09:17:45 EST 2024
% Result : Theorem 2.06s 2.28s
% Output : Proof 2.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG046+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Mar 3 22:27:36 EST 2024
% 0.12/0.33 % CPUTime :
% 2.06/2.28 % SZS status Theorem for theBenchmark
% 2.06/2.28 % SZS output start Proof for theBenchmark
% 2.06/2.28
% 2.06/2.28 % Formula: mNatSort ( axiom ) converted to clauses:
% 2.06/2.28
% 2.06/2.28 % Formula: mZeroNat ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mZeroNat-1, axiom, ( aNaturalNumber0(sz00) )).
% 2.06/2.28
% 2.06/2.28 % Formula: mSuccNat ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mSuccNat-1, axiom, ( ~aNaturalNumber0(_u1) | aNaturalNumber0(szszuzczcdt0(_u1)) )).
% 2.06/2.28 cnf(mSuccNat-2, axiom, ( ~aNaturalNumber0(_u1) | ( szszuzczcdt0(_u1) != sz00) )).
% 2.06/2.28
% 2.06/2.28 % Formula: mNatExtr ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mNatExtr-1, axiom, ( ~aNaturalNumber0(_u3) | ( _u3 = sz00) | aNaturalNumber0(skolem1(_u3)) )).
% 2.06/2.28 cnf(mNatExtr-2, axiom, ( ~aNaturalNumber0(_u3) | ( _u3 = sz00) | ( _u3 = szszuzczcdt0(skolem1(_u3))) )).
% 2.06/2.28
% 2.06/2.28 % Formula: mSuccEqu ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mSuccEqu-1, axiom, ( ~aNaturalNumber0(_u5) | ~aNaturalNumber0(_u4) | ( szszuzczcdt0(_u5) != szszuzczcdt0(_u4)) | ( _u5 = _u4) )).
% 2.06/2.28
% 2.06/2.28 % Formula: mIHOrd ( axiom ) converted to clauses:
% 2.06/2.28
% 2.06/2.28 % Formula: mIH ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mIH-1, axiom, ( ~aNaturalNumber0(_u8) | iLess0(_u8, szszuzczcdt0(_u8)) )).
% 2.06/2.28
% 2.06/2.28 % Formula: mScSort ( axiom ) converted to clauses:
% 2.06/2.28
% 2.06/2.28 % Formula: mSZeroSc ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mSZeroSc-1, axiom, ( aScalar0(sz0z00) )).
% 2.06/2.28
% 2.06/2.28 % Formula: mSumSc ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mSumSc-1, axiom, ( ~aScalar0(_u11) | ~aScalar0(_u10) | aScalar0(sdtpldt0(_u11, _u10)) )).
% 2.06/2.28
% 2.06/2.28 % Formula: mMulSc ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mMulSc-1, axiom, ( ~aScalar0(_u13) | ~aScalar0(_u12) | aScalar0(sdtasdt0(_u13, _u12)) )).
% 2.06/2.28
% 2.06/2.28 % Formula: mNegSc ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mNegSc-1, axiom, ( ~aScalar0(_u14) | aScalar0(smndt0(_u14)) )).
% 2.06/2.28
% 2.06/2.28 % Formula: mScZero ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mScZero-1, axiom, ( ~aScalar0(_u15) | ( sdtpldt0(_u15, sz0z00) = _u15) )).
% 2.06/2.28 cnf(mScZero-2, axiom, ( ~aScalar0(_u15) | ( sdtpldt0(sz0z00, _u15) = _u15) )).
% 2.06/2.28 cnf(mScZero-3, axiom, ( ~aScalar0(_u15) | ( sdtasdt0(_u15, sz0z00) = sz0z00) )).
% 2.06/2.28 cnf(mScZero-4, axiom, ( ~aScalar0(_u15) | ( sdtasdt0(sz0z00, _u15) = sz0z00) )).
% 2.06/2.28 cnf(mScZero-5, axiom, ( ~aScalar0(_u15) | ( sdtpldt0(_u15, smndt0(_u15)) = sz0z00) )).
% 2.06/2.28 cnf(mScZero-6, axiom, ( ~aScalar0(_u15) | ( sdtpldt0(smndt0(_u15), _u15) = sz0z00) )).
% 2.06/2.28 cnf(mScZero-7, axiom, ( ~aScalar0(_u15) | ( smndt0(smndt0(_u15)) = _u15) )).
% 2.06/2.28 cnf(mScZero-8, axiom, ( ~aScalar0(_u15) | ( smndt0(sz0z00) = sz0z00) )).
% 2.06/2.28
% 2.06/2.28 % Formula: mArith ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mArith-1, axiom, ( ~aScalar0(_u18) | ~aScalar0(_u17) | ~aScalar0(_u16) | ( sdtpldt0(sdtpldt0(_u18, _u17), _u16) = sdtpldt0(_u18, sdtpldt0(_u17, _u16))) )).
% 2.06/2.28 cnf(mArith-2, axiom, ( ~aScalar0(_u18) | ~aScalar0(_u17) | ~aScalar0(_u16) | ( sdtpldt0(_u18, _u17) = sdtpldt0(_u17, _u18)) )).
% 2.06/2.28 cnf(mArith-3, axiom, ( ~aScalar0(_u18) | ~aScalar0(_u17) | ~aScalar0(_u16) | ( sdtasdt0(sdtasdt0(_u18, _u17), _u16) = sdtasdt0(_u18, sdtasdt0(_u17, _u16))) )).
% 2.06/2.28 cnf(mArith-4, axiom, ( ~aScalar0(_u18) | ~aScalar0(_u17) | ~aScalar0(_u16) | ( sdtasdt0(_u18, _u17) = sdtasdt0(_u17, _u18)) )).
% 2.06/2.28
% 2.06/2.28 % Formula: mDistr ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mDistr-1, axiom, ( ~aScalar0(_u21) | ~aScalar0(_u20) | ~aScalar0(_u19) | ( sdtasdt0(_u21, sdtpldt0(_u20, _u19)) = sdtpldt0(sdtasdt0(_u21, _u20), sdtasdt0(_u21, _u19))) )).
% 2.06/2.28 cnf(mDistr-2, axiom, ( ~aScalar0(_u21) | ~aScalar0(_u20) | ~aScalar0(_u19) | ( sdtasdt0(sdtpldt0(_u21, _u20), _u19) = sdtpldt0(sdtasdt0(_u21, _u19), sdtasdt0(_u20, _u19))) )).
% 2.06/2.28
% 2.06/2.28 % Formula: mDistr2 ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mDistr2-1, axiom, ( ~aScalar0(_u25) | ~aScalar0(_u24) | ~aScalar0(_u23) | ~aScalar0(_u22) | ( sdtasdt0(sdtpldt0(_u25, _u24), sdtpldt0(_u23, _u22)) = sdtpldt0(sdtpldt0(sdtasdt0(_u25, _u23), sdtasdt0(_u25, _u22)), sdtpldt0(sdtasdt0(_u24, _u23), sdtasdt0(_u24, _u22)))) )).
% 2.06/2.28
% 2.06/2.28 % Formula: mMNeg ( axiom ) converted to clauses:
% 2.06/2.28 cnf(mMNeg-1, axiom, ( ~aScalar0(_u27) | ~aScalar0(_u26) | ( sdtasdt0(_u27, smndt0(_u26)) = smndt0(sdtasdt0(_u27, _u26))) )).
% 2.06/2.28 cnf(mMNeg-2, axiom, ( ~aScalar0(_u27) | ~aScalar0(_u26) | ( sdtasdt0(smndt0(_u27), _u26) = smndt0(sdtasdt0(_u27, _u26))) )).
% 2.06/2.28
% 2.06/2.28 % Formula: m__799 ( hypothesis ) converted to clauses:
% 2.06/2.28 cnf(m__799-1, hypothesis, ( aScalar0(xx) )).
% 2.06/2.28 cnf(m__799-2, hypothesis, ( aScalar0(xy) )).
% 2.06/2.28
% 2.06/2.28 % Formula: m__ ( conjecture ) converted to clauses:
% 2.06/2.28 cnf(m__-1, negated_conjecture, ( ( sdtasdt0(smndt0(xx), smndt0(xy)) != sdtasdt0(xx, xy)) )).
% 2.06/2.28
% 2.06/2.28 % Problem matrix:
% 2.06/2.28 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 2.06/2.28 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 2.06/2.28 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 2.06/2.28 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( szszuzczcdt0(__eqx_0) = szszuzczcdt0(__eqy_0)) )).
% 2.06/2.28 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtpldt0(__eqx_0, __eqx_1) = sdtpldt0(__eqy_0, __eqy_1)) )).
% 2.06/2.28 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtasdt0(__eqx_0, __eqx_1) = sdtasdt0(__eqy_0, __eqy_1)) )).
% 2.06/2.28 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( smndt0(__eqx_0) = smndt0(__eqy_0)) )).
% 2.06/2.28 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 2.06/2.28 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~aNaturalNumber0(__eqx_0) | aNaturalNumber0(__eqy_0) )).
% 2.06/2.28 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~iLess0(__eqx_0, __eqx_1) | iLess0(__eqy_0, __eqy_1) )).
% 2.06/2.28 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~aScalar0(__eqx_0) | aScalar0(__eqy_0) )).
% 2.06/2.28 cnf(matrix-11, plain, ( aNaturalNumber0(sz00) )).
% 2.06/2.28 cnf(matrix-12, plain, ( ~aNaturalNumber0(_u1) | aNaturalNumber0(szszuzczcdt0(_u1)) )).
% 2.06/2.28 cnf(matrix-13, plain, ( ~aNaturalNumber0(_u1) | ( szszuzczcdt0(_u1) != sz00) )).
% 2.06/2.28 cnf(matrix-14, plain, ( ~aNaturalNumber0(_u3) | ( _u3 = sz00) | aNaturalNumber0(skolem1(_u3)) )).
% 2.06/2.28 cnf(matrix-15, plain, ( ~aNaturalNumber0(_u3) | ( _u3 = sz00) | ( _u3 = szszuzczcdt0(skolem1(_u3))) )).
% 2.06/2.28 cnf(matrix-16, plain, ( ~aNaturalNumber0(_u5) | ~aNaturalNumber0(_u4) | ( szszuzczcdt0(_u5) != szszuzczcdt0(_u4)) | ( _u5 = _u4) )).
% 2.06/2.28 cnf(matrix-17, plain, ( ~aNaturalNumber0(_u8) | iLess0(_u8, szszuzczcdt0(_u8)) )).
% 2.06/2.28 cnf(matrix-18, plain, ( aScalar0(sz0z00) )).
% 2.06/2.28 cnf(matrix-19, plain, ( ~aScalar0(_u11) | ~aScalar0(_u10) | aScalar0(sdtpldt0(_u11, _u10)) )).
% 2.06/2.28 cnf(matrix-20, plain, ( ~aScalar0(_u13) | ~aScalar0(_u12) | aScalar0(sdtasdt0(_u13, _u12)) )).
% 2.06/2.28 cnf(matrix-21, plain, ( ~aScalar0(_u14) | aScalar0(smndt0(_u14)) )).
% 2.06/2.28 cnf(matrix-22, plain, ( ~aScalar0(_u15) | ( sdtpldt0(_u15, sz0z00) = _u15) )).
% 2.06/2.28 cnf(matrix-23, plain, ( ~aScalar0(_u15) | ( sdtpldt0(sz0z00, _u15) = _u15) )).
% 2.06/2.28 cnf(matrix-24, plain, ( ~aScalar0(_u15) | ( sdtasdt0(_u15, sz0z00) = sz0z00) )).
% 2.06/2.28 cnf(matrix-25, plain, ( ~aScalar0(_u15) | ( sdtasdt0(sz0z00, _u15) = sz0z00) )).
% 2.06/2.28 cnf(matrix-26, plain, ( ~aScalar0(_u15) | ( sdtpldt0(_u15, smndt0(_u15)) = sz0z00) )).
% 2.06/2.28 cnf(matrix-27, plain, ( ~aScalar0(_u15) | ( sdtpldt0(smndt0(_u15), _u15) = sz0z00) )).
% 2.06/2.28 cnf(matrix-28, plain, ( ~aScalar0(_u15) | ( smndt0(smndt0(_u15)) = _u15) )).
% 2.06/2.28 cnf(matrix-29, plain, ( ~aScalar0(_u15) | ( smndt0(sz0z00) = sz0z00) )).
% 2.06/2.28 cnf(matrix-30, plain, ( ~aScalar0(_u18) | ~aScalar0(_u17) | ~aScalar0(_u16) | ( sdtpldt0(sdtpldt0(_u18, _u17), _u16) = sdtpldt0(_u18, sdtpldt0(_u17, _u16))) )).
% 2.06/2.28 cnf(matrix-31, plain, ( ~aScalar0(_u18) | ~aScalar0(_u17) | ~aScalar0(_u16) | ( sdtpldt0(_u18, _u17) = sdtpldt0(_u17, _u18)) )).
% 2.06/2.28 cnf(matrix-32, plain, ( ~aScalar0(_u18) | ~aScalar0(_u17) | ~aScalar0(_u16) | ( sdtasdt0(sdtasdt0(_u18, _u17), _u16) = sdtasdt0(_u18, sdtasdt0(_u17, _u16))) )).
% 2.06/2.28 cnf(matrix-33, plain, ( ~aScalar0(_u18) | ~aScalar0(_u17) | ~aScalar0(_u16) | ( sdtasdt0(_u18, _u17) = sdtasdt0(_u17, _u18)) )).
% 2.06/2.28 cnf(matrix-34, plain, ( ~aScalar0(_u21) | ~aScalar0(_u20) | ~aScalar0(_u19) | ( sdtasdt0(_u21, sdtpldt0(_u20, _u19)) = sdtpldt0(sdtasdt0(_u21, _u20), sdtasdt0(_u21, _u19))) )).
% 2.06/2.28 cnf(matrix-35, plain, ( ~aScalar0(_u21) | ~aScalar0(_u20) | ~aScalar0(_u19) | ( sdtasdt0(sdtpldt0(_u21, _u20), _u19) = sdtpldt0(sdtasdt0(_u21, _u19), sdtasdt0(_u20, _u19))) )).
% 2.06/2.28 cnf(matrix-36, plain, ( ~aScalar0(_u25) | ~aScalar0(_u24) | ~aScalar0(_u23) | ~aScalar0(_u22) | ( sdtasdt0(sdtpldt0(_u25, _u24), sdtpldt0(_u23, _u22)) = sdtpldt0(sdtpldt0(sdtasdt0(_u25, _u23), sdtasdt0(_u25, _u22)), sdtpldt0(sdtasdt0(_u24, _u23), sdtasdt0(_u24, _u22)))) )).
% 2.06/2.28 cnf(matrix-37, plain, ( ~aScalar0(_u27) | ~aScalar0(_u26) | ( sdtasdt0(_u27, smndt0(_u26)) = smndt0(sdtasdt0(_u27, _u26))) )).
% 2.06/2.28 cnf(matrix-38, plain, ( ~aScalar0(_u27) | ~aScalar0(_u26) | ( sdtasdt0(smndt0(_u27), _u26) = smndt0(sdtasdt0(_u27, _u26))) )).
% 2.06/2.28 cnf(matrix-39, plain, ( aScalar0(xx) )).
% 2.06/2.28 cnf(matrix-40, plain, ( aScalar0(xy) )).
% 2.06/2.28 cnf(matrix-41, plain, ( ( sdtasdt0(smndt0(xx), smndt0(xy)) != sdtasdt0(xx, xy)) )).
% 2.06/2.28
% 2.06/2.28 % Proof stack:
% 2.06/2.28 cnf(proof-stack, plain,
% 2.06/2.28 proof_stack(
% 2.06/2.28 start(41),
% 2.06/2.28 left_branch(0, 2, 2, 2),
% 2.06/2.28 left_branch(0, 38, 2, 3),
% 2.06/2.28 left_branch(0, 39, 0, 4),
% 2.06/2.28 right_branch(4),
% 2.06/2.28 left_branch(0, 21, 1, 5),
% 2.06/2.28 left_branch(0, 40, 0, 6),
% 2.06/2.28 right_branch(6),
% 2.06/2.28 right_branch(5),
% 2.06/2.28 right_branch(3),
% 2.06/2.28 left_branch(0, 2, 2, 4),
% 2.06/2.28 left_branch(0, 6, 1, 5),
% 2.06/2.28 left_branch(0, 37, 2, 6),
% 2.06/2.28 left_branch(0, 39, 0, 7),
% 2.06/2.28 right_branch(7),
% 2.06/2.28 left_branch(0, 40, 0, 8),
% 2.06/2.28 right_branch(8),
% 2.06/2.28 right_branch(6),
% 2.06/2.28 right_branch(5),
% 2.06/2.28 left_branch(0, 28, 1, 6),
% 2.06/2.28 left_branch(0, 20, 2, 7),
% 2.06/2.28 left_branch(0, 39, 0, 8),
% 2.06/2.28 right_branch(8),
% 2.06/2.28 left_branch(0, 40, 0, 9),
% 2.06/2.28 right_branch(9),
% 2.06/2.28 right_branch(7),
% 2.06/2.28 right_branch(6),
% 2.06/2.28 right_branch(4),
% 2.06/2.28 right_branch(2)
% 2.06/2.28 )).
% 2.06/2.28 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------