TSTP Solution File: KLE138+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : KLE138+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n013.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  : 600s
% DateTime : Sun Jul 17 02:10:30 EDT 2022

% Result   : Theorem 0.38s 1.43s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : KLE138+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.35  % Computer : n013.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 600
% 0.12/0.35  % DateTime : Thu Jun 16 12:45:29 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.38/1.43  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.44  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.45  
% 0.39/1.45  %-----------------------------------------------------
% 0.39/1.45  fof(goals, conjecture, strong_iteration(zero) = one, file('/export/starexec/sandbox/benchmark/theBenchmark.p', goals)).
% 0.39/1.45  fof(additive_commutativity, axiom, ! [_26179, _26182] : addition(_26179, _26182) = addition(_26182, _26179), file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax', additive_commutativity)).
% 0.39/1.45  fof(additive_identity, axiom, ! [_26326] : addition(_26326, zero) = _26326, file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax', additive_identity)).
% 0.39/1.45  fof(left_annihilation, axiom, ! [_26451] : multiplication(zero, _26451) = zero, file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax', left_annihilation)).
% 0.39/1.45  fof(infty_unfold1, axiom, ! [_26574] : strong_iteration(_26574) = addition(multiplication(_26574, strong_iteration(_26574)), one), file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax', infty_unfold1)).
% 0.39/1.45  
% 0.39/1.45  cnf(1, plain, [strong_iteration(zero) = one], clausify(goals)).
% 0.39/1.45  cnf(2, plain, [-(addition(_12454, _12499) = addition(_12499, _12454))], clausify(additive_commutativity)).
% 0.39/1.45  cnf(3, plain, [-(addition(_13231, zero) = _13231)], clausify(additive_identity)).
% 0.39/1.45  cnf(4, plain, [-(multiplication(zero, _15580) = zero)], clausify(left_annihilation)).
% 0.39/1.45  cnf(5, plain, [-(strong_iteration(_17444) = addition(multiplication(_17444, strong_iteration(_17444)), one))], clausify(infty_unfold1)).
% 0.39/1.45  cnf(6, plain, [-(_8940 = _8940)], theory(equality)).
% 0.39/1.45  cnf(7, plain, [-(_9372 = _9483), _9372 = _9428, _9428 = _9483], theory(equality)).
% 0.39/1.45  cnf(8, plain, [-(addition(_10477, _10610) = addition(_10544, _10675)), _10477 = _10544, _10610 = _10675], theory(equality)).
% 0.39/1.45  
% 0.39/1.45  cnf('1',plain,[strong_iteration(zero) = one],start(1)).
% 0.39/1.45  cnf('1.1',plain,[-(strong_iteration(zero) = one), strong_iteration(zero) = addition(multiplication(zero, strong_iteration(zero)), one), addition(multiplication(zero, strong_iteration(zero)), one) = one],extension(7,bind([[_9372, _9428, _9483], [strong_iteration(zero), addition(multiplication(zero, strong_iteration(zero)), one), one]]))).
% 0.39/1.45  cnf('1.1.1',plain,[-(strong_iteration(zero) = addition(multiplication(zero, strong_iteration(zero)), one))],extension(5,bind([[_17444], [zero]]))).
% 0.39/1.45  cnf('1.1.2',plain,[-(addition(multiplication(zero, strong_iteration(zero)), one) = one), addition(multiplication(zero, strong_iteration(zero)), one) = addition(zero, one), addition(zero, one) = one],extension(7,bind([[_9372, _9428, _9483], [addition(multiplication(zero, strong_iteration(zero)), one), addition(zero, one), one]]))).
% 0.39/1.45  cnf('1.1.2.1',plain,[-(addition(multiplication(zero, strong_iteration(zero)), one) = addition(zero, one)), multiplication(zero, strong_iteration(zero)) = zero, one = one],extension(8,bind([[_10477, _10544, _10610, _10675], [multiplication(zero, strong_iteration(zero)), zero, one, one]]))).
% 0.39/1.45  cnf('1.1.2.1.1',plain,[-(multiplication(zero, strong_iteration(zero)) = zero)],extension(4,bind([[_15580], [strong_iteration(zero)]]))).
% 0.39/1.45  cnf('1.1.2.1.2',plain,[-(one = one)],extension(6,bind([[_8940], [one]]))).
% 0.39/1.45  cnf('1.1.2.2',plain,[-(addition(zero, one) = one), addition(zero, one) = addition(one, zero), addition(one, zero) = one],extension(7,bind([[_9372, _9428, _9483], [addition(zero, one), addition(one, zero), one]]))).
% 0.39/1.45  cnf('1.1.2.2.1',plain,[-(addition(zero, one) = addition(one, zero))],extension(2,bind([[_12499, _12454], [one, zero]]))).
% 0.39/1.45  cnf('1.1.2.2.2',plain,[-(addition(one, zero) = one)],extension(3,bind([[_13231], [one]]))).
% 0.39/1.45  %-----------------------------------------------------
% 0.39/1.45  
% 0.39/1.45  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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