TSTP Solution File: KLE067+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : KLE067+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n029.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 02:10:14 EDT 2022

% Result   : Theorem 13.77s 13.89s
% Output   : Proof 13.77s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : KLE067+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 15:04:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 13.77/13.89  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.77/13.90  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.77/13.91  
% 13.77/13.91  %-----------------------------------------------------
% 13.77/13.91  fof(goals, conjecture, ! [_25767, _25770] : domain(addition(domain(_25767), domain(_25770))) = addition(domain(_25767), domain(_25770)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals)).
% 13.77/13.91  fof(domain2, axiom, ! [_25959, _25962] : domain(multiplication(_25959, _25962)) = domain(multiplication(_25959, domain(_25962))), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax', domain2)).
% 13.77/13.91  fof(domain5, axiom, ! [_26134, _26137] : domain(addition(_26134, _26137)) = addition(domain(_26134), domain(_26137)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax', domain5)).
% 13.77/13.91  fof(multiplicative_left_identity, axiom, ! [_26313] : multiplication(one, _26313) = _26313, file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', multiplicative_left_identity)).
% 13.77/13.91  
% 13.77/13.91  cnf(1, plain, [domain(addition(domain(1 ^ []), domain(2 ^ []))) = addition(domain(1 ^ []), domain(2 ^ []))], clausify(goals)).
% 13.77/13.91  cnf(2, plain, [-(domain(multiplication(_15953, _16004)) = domain(multiplication(_15953, domain(_16004))))], clausify(domain2)).
% 13.77/13.91  cnf(3, plain, [-(domain(addition(_16694, _16745)) = addition(domain(_16694), domain(_16745)))], clausify(domain5)).
% 13.77/13.91  cnf(4, plain, [-(multiplication(one, _13447) = _13447)], clausify(multiplicative_left_identity)).
% 13.77/13.91  cnf(5, plain, [_10542 = _10591, -(domain(_10542) = domain(_10591))], theory(equality)).
% 13.77/13.91  cnf(6, plain, [_8534 = _8579, -(_8579 = _8534)], theory(equality)).
% 13.77/13.91  cnf(7, plain, [-(_8813 = _8924), _8813 = _8869, _8869 = _8924], theory(equality)).
% 13.77/13.91  
% 13.77/13.91  cnf('1',plain,[domain(addition(domain(1 ^ []), domain(2 ^ []))) = addition(domain(1 ^ []), domain(2 ^ []))],start(1)).
% 13.77/13.91  cnf('1.1',plain,[-(domain(addition(domain(1 ^ []), domain(2 ^ []))) = addition(domain(1 ^ []), domain(2 ^ []))), domain(addition(domain(1 ^ []), domain(2 ^ []))) = domain(multiplication(one, domain(addition(1 ^ [], 2 ^ [])))), domain(multiplication(one, domain(addition(1 ^ [], 2 ^ [])))) = addition(domain(1 ^ []), domain(2 ^ []))],extension(7,bind([[_8813, _8869, _8924], [domain(addition(domain(1 ^ []), domain(2 ^ []))), domain(multiplication(one, domain(addition(1 ^ [], 2 ^ [])))), addition(domain(1 ^ []), domain(2 ^ []))]]))).
% 13.77/13.91  cnf('1.1.1',plain,[-(domain(addition(domain(1 ^ []), domain(2 ^ []))) = domain(multiplication(one, domain(addition(1 ^ [], 2 ^ []))))), addition(domain(1 ^ []), domain(2 ^ [])) = multiplication(one, domain(addition(1 ^ [], 2 ^ [])))],extension(5,bind([[_10542, _10591], [addition(domain(1 ^ []), domain(2 ^ [])), multiplication(one, domain(addition(1 ^ [], 2 ^ [])))]]))).
% 13.77/13.91  cnf('1.1.1.1',plain,[-(addition(domain(1 ^ []), domain(2 ^ [])) = multiplication(one, domain(addition(1 ^ [], 2 ^ [])))), multiplication(one, domain(addition(1 ^ [], 2 ^ []))) = addition(domain(1 ^ []), domain(2 ^ []))],extension(6,bind([[_8534, _8579], [multiplication(one, domain(addition(1 ^ [], 2 ^ []))), addition(domain(1 ^ []), domain(2 ^ []))]]))).
% 13.77/13.91  cnf('1.1.1.1.1',plain,[-(multiplication(one, domain(addition(1 ^ [], 2 ^ []))) = addition(domain(1 ^ []), domain(2 ^ []))), multiplication(one, domain(addition(1 ^ [], 2 ^ []))) = domain(addition(1 ^ [], 2 ^ [])), domain(addition(1 ^ [], 2 ^ [])) = addition(domain(1 ^ []), domain(2 ^ []))],extension(7,bind([[_8813, _8869, _8924], [multiplication(one, domain(addition(1 ^ [], 2 ^ []))), domain(addition(1 ^ [], 2 ^ [])), addition(domain(1 ^ []), domain(2 ^ []))]]))).
% 13.77/13.91  cnf('1.1.1.1.1.1',plain,[-(multiplication(one, domain(addition(1 ^ [], 2 ^ []))) = domain(addition(1 ^ [], 2 ^ [])))],extension(4,bind([[_13447], [domain(addition(1 ^ [], 2 ^ []))]]))).
% 13.77/13.91  cnf('1.1.1.1.1.2',plain,[-(domain(addition(1 ^ [], 2 ^ [])) = addition(domain(1 ^ []), domain(2 ^ [])))],extension(3,bind([[_16694, _16745], [1 ^ [], 2 ^ []]]))).
% 13.77/13.91  cnf('1.1.2',plain,[-(domain(multiplication(one, domain(addition(1 ^ [], 2 ^ [])))) = addition(domain(1 ^ []), domain(2 ^ []))), domain(multiplication(one, domain(addition(1 ^ [], 2 ^ [])))) = domain(multiplication(one, addition(1 ^ [], 2 ^ []))), domain(multiplication(one, addition(1 ^ [], 2 ^ []))) = addition(domain(1 ^ []), domain(2 ^ []))],extension(7,bind([[_8813, _8869, _8924], [domain(multiplication(one, domain(addition(1 ^ [], 2 ^ [])))), domain(multiplication(one, addition(1 ^ [], 2 ^ []))), addition(domain(1 ^ []), domain(2 ^ []))]]))).
% 13.77/13.91  cnf('1.1.2.1',plain,[-(domain(multiplication(one, domain(addition(1 ^ [], 2 ^ [])))) = domain(multiplication(one, addition(1 ^ [], 2 ^ [])))), domain(multiplication(one, addition(1 ^ [], 2 ^ []))) = domain(multiplication(one, domain(addition(1 ^ [], 2 ^ []))))],extension(6,bind([[_8534, _8579], [domain(multiplication(one, addition(1 ^ [], 2 ^ []))), domain(multiplication(one, domain(addition(1 ^ [], 2 ^ []))))]]))).
% 13.77/13.91  cnf('1.1.2.1.1',plain,[-(domain(multiplication(one, addition(1 ^ [], 2 ^ []))) = domain(multiplication(one, domain(addition(1 ^ [], 2 ^ [])))))],extension(2,bind([[_15953, _16004], [one, addition(1 ^ [], 2 ^ [])]]))).
% 13.77/13.91  cnf('1.1.2.2',plain,[-(domain(multiplication(one, addition(1 ^ [], 2 ^ []))) = addition(domain(1 ^ []), domain(2 ^ []))), domain(multiplication(one, addition(1 ^ [], 2 ^ []))) = domain(addition(1 ^ [], 2 ^ [])), domain(addition(1 ^ [], 2 ^ [])) = addition(domain(1 ^ []), domain(2 ^ []))],extension(7,bind([[_8813, _8869, _8924], [domain(multiplication(one, addition(1 ^ [], 2 ^ []))), domain(addition(1 ^ [], 2 ^ [])), addition(domain(1 ^ []), domain(2 ^ []))]]))).
% 13.77/13.91  cnf('1.1.2.2.1',plain,[-(domain(multiplication(one, addition(1 ^ [], 2 ^ []))) = domain(addition(1 ^ [], 2 ^ []))), multiplication(one, addition(1 ^ [], 2 ^ [])) = addition(1 ^ [], 2 ^ [])],extension(5,bind([[_10542, _10591], [multiplication(one, addition(1 ^ [], 2 ^ [])), addition(1 ^ [], 2 ^ [])]]))).
% 13.77/13.91  cnf('1.1.2.2.1.1',plain,[-(multiplication(one, addition(1 ^ [], 2 ^ [])) = addition(1 ^ [], 2 ^ []))],extension(4,bind([[_13447], [addition(1 ^ [], 2 ^ [])]]))).
% 13.77/13.91  cnf('1.1.2.2.2',plain,[-(domain(addition(1 ^ [], 2 ^ [])) = addition(domain(1 ^ []), domain(2 ^ [])))],extension(3,bind([[_16694, _16745], [1 ^ [], 2 ^ []]]))).
% 13.77/13.91  %-----------------------------------------------------
% 13.77/13.91  
% 13.77/13.91  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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