TSTP Solution File: MGT058+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : MGT058+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.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 22:16:59 EDT 2022
% Result : Theorem 1.38s 2.43s
% Output : Proof 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT058+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n019.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 9 12:19:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.38/2.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/2.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/2.44
% 1.38/2.44 %-----------------------------------------------------
% 1.38/2.44 fof(lemma_10, conjecture, ! [_40599] : (organization(_40599) & ? [_40614] : age(_40599, _40614) = zero & greater_or_equal(sigma, zero) & greater_or_equal(tau, zero) => ~ (fragile_position(_40599) & robust_position(_40599))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lemma_10)).
% 1.38/2.44 fof(definition_3, axiom, ! [_40977] : (fragile_position(_40977) <=> ! [_40992] : ((smaller_or_equal(age(_40977, _40992), sigma) => positional_advantage(_40977, _40992)) & (greater(age(_40977, _40992), sigma) => ~ positional_advantage(_40977, _40992)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', definition_3)).
% 1.38/2.44 fof(definition_4, axiom, ! [_41262] : (robust_position(_41262) <=> ! [_41277] : ((smaller_or_equal(age(_41262, _41277), tau) => ~ positional_advantage(_41262, _41277)) & (greater(age(_41262, _41277), tau) => positional_advantage(_41262, _41277)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', definition_4)).
% 1.38/2.44 fof(definition_smaller_or_equal, axiom, ! [_41544, _41547] : (smaller_or_equal(_41544, _41547) <=> smaller(_41544, _41547) | _41544 = _41547), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax', definition_smaller_or_equal)).
% 1.38/2.44 fof(definition_greater_or_equal, axiom, ! [_41729, _41732] : (greater_or_equal(_41729, _41732) <=> greater(_41729, _41732) | _41729 = _41732), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax', definition_greater_or_equal)).
% 1.38/2.44 fof(definition_smaller, axiom, ! [_41900, _41903] : (smaller(_41900, _41903) <=> greater(_41903, _41900)), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax', definition_smaller)).
% 1.38/2.44 fof(meaning_postulate_greater_strict, axiom, ! [_42046, _42049] : ~ (greater(_42046, _42049) & greater(_42049, _42046)), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax', meaning_postulate_greater_strict)).
% 1.38/2.44 fof(meaning_postulate_greater_comparable, axiom, ! [_42200, _42203] : (smaller(_42200, _42203) | _42200 = _42203 | greater(_42200, _42203)), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax', meaning_postulate_greater_comparable)).
% 1.38/2.44
% 1.38/2.44 cnf(1, plain, [-(age(3 ^ [], 4 ^ []) = zero)], clausify(lemma_10)).
% 1.38/2.44 cnf(2, plain, [-(greater_or_equal(sigma, zero))], clausify(lemma_10)).
% 1.38/2.44 cnf(3, plain, [-(greater_or_equal(tau, zero))], clausify(lemma_10)).
% 1.38/2.44 cnf(4, plain, [-(fragile_position(3 ^ []))], clausify(lemma_10)).
% 1.38/2.44 cnf(5, plain, [-(robust_position(3 ^ []))], clausify(lemma_10)).
% 1.38/2.44 cnf(6, plain, [-(_7303 = _7303)], theory(equality)).
% 1.38/2.44 cnf(7, plain, [_7456 = _7501, -(_7501 = _7456)], theory(equality)).
% 1.38/2.44 cnf(8, plain, [-(smaller(_11137, _11268)), smaller(_11070, _11203), _11070 = _11137, _11203 = _11268], theory(equality)).
% 1.38/2.44 cnf(9, plain, [-(smaller_or_equal(_11751, _11882)), smaller_or_equal(_11684, _11817), _11684 = _11751, _11817 = _11882], theory(equality)).
% 1.38/2.44 cnf(10, plain, [fragile_position(_15448), smaller_or_equal(age(_15448, _15556), sigma), -(positional_advantage(_15448, _15556))], clausify(definition_3)).
% 1.38/2.44 cnf(11, plain, [robust_position(_16084), smaller_or_equal(age(_16084, _16192), tau), positional_advantage(_16084, _16192)], clausify(definition_4)).
% 1.38/2.44 cnf(12, plain, [-(smaller_or_equal(_13088, _13139)), smaller(_13088, _13139)], clausify(definition_smaller_or_equal)).
% 1.38/2.44 cnf(13, plain, [-(smaller_or_equal(_13088, _13139)), _13088 = _13139], clausify(definition_smaller_or_equal)).
% 1.38/2.44 cnf(14, plain, [greater_or_equal(_13484, _13535), -(greater(_13484, _13535)), -(_13484 = _13535)], clausify(definition_greater_or_equal)).
% 1.38/2.44 cnf(15, plain, [-(smaller(_13880, _13925)), greater(_13925, _13880)], clausify(definition_smaller)).
% 1.38/2.44 cnf(16, plain, [greater(_14190, _14237), greater(_14237, _14190)], clausify(meaning_postulate_greater_strict)).
% 1.38/2.44 cnf(17, plain, [-(smaller(_14977, _15028)), -(_14977 = _15028), -(greater(_14977, _15028))], clausify(meaning_postulate_greater_comparable)).
% 1.38/2.44
% 1.38/2.44 cnf('1',plain,[robust_position(3 ^ []), smaller_or_equal(age(3 ^ [], 4 ^ []), tau), positional_advantage(3 ^ [], 4 ^ [])],start(11,bind([[_16084, _16192], [3 ^ [], 4 ^ []]]))).
% 1.38/2.44 cnf('1.1',plain,[-(robust_position(3 ^ []))],extension(5)).
% 1.38/2.44 cnf('1.2',plain,[-(smaller_or_equal(age(3 ^ [], 4 ^ []), tau)), smaller_or_equal(zero, zero), zero = age(3 ^ [], 4 ^ []), zero = tau],extension(9,bind([[_11684, _11751, _11817, _11882], [zero, age(3 ^ [], 4 ^ []), zero, tau]]))).
% 1.38/2.44 cnf('1.2.1',plain,[-(smaller_or_equal(zero, zero)), smaller_or_equal(zero, zero), zero = zero, zero = zero],extension(9,bind([[_11684, _11751, _11817, _11882], [zero, zero, zero, zero]]))).
% 1.38/2.44 cnf('1.2.1.1',plain,[-(smaller_or_equal(zero, zero)), smaller_or_equal(zero, zero), zero = zero, zero = zero],extension(9,bind([[_11684, _11751, _11817, _11882], [zero, zero, zero, zero]]))).
% 1.38/2.44 cnf('1.2.1.1.1',plain,[-(smaller_or_equal(zero, zero)), smaller_or_equal(zero, zero), zero = zero, zero = zero],extension(9,bind([[_11684, _11751, _11817, _11882], [zero, zero, zero, zero]]))).
% 1.38/2.44 cnf('1.2.1.1.1.1',plain,[-(smaller_or_equal(zero, zero)), smaller_or_equal(age(3 ^ [], 4 ^ []), zero), age(3 ^ [], 4 ^ []) = zero, zero = zero],extension(9,bind([[_11684, _11751, _11817, _11882], [age(3 ^ [], 4 ^ []), zero, zero, zero]]))).
% 1.38/2.44 cnf('1.2.1.1.1.1.1',plain,[-(smaller_or_equal(age(3 ^ [], 4 ^ []), zero)), age(3 ^ [], 4 ^ []) = zero],extension(13,bind([[_13088, _13139], [age(3 ^ [], 4 ^ []), zero]]))).
% 1.38/2.44 cnf('1.2.1.1.1.1.1.1',plain,[-(age(3 ^ [], 4 ^ []) = zero)],extension(1)).
% 1.38/2.44 cnf('1.2.1.1.1.1.2',plain,[-(age(3 ^ [], 4 ^ []) = zero)],extension(1)).
% 1.38/2.44 cnf('1.2.1.1.1.1.3',plain,[-(zero = zero)],extension(6,bind([[_7303], [zero]]))).
% 1.38/2.44 cnf('1.2.1.1.1.2',plain,[-(zero = zero)],extension(6,bind([[_7303], [zero]]))).
% 1.38/2.44 cnf('1.2.1.1.1.3',plain,[-(zero = zero)],extension(6,bind([[_7303], [zero]]))).
% 1.38/2.44 cnf('1.2.1.1.2',plain,[-(zero = zero)],extension(6,bind([[_7303], [zero]]))).
% 1.38/2.44 cnf('1.2.1.1.3',plain,[-(zero = zero)],extension(6,bind([[_7303], [zero]]))).
% 1.38/2.44 cnf('1.2.1.2',plain,[-(zero = zero)],extension(6,bind([[_7303], [zero]]))).
% 1.38/2.44 cnf('1.2.1.3',plain,[-(zero = zero)],extension(6,bind([[_7303], [zero]]))).
% 1.38/2.44 cnf('1.2.2',plain,[-(zero = age(3 ^ [], 4 ^ [])), age(3 ^ [], 4 ^ []) = zero],extension(7,bind([[_7456, _7501], [age(3 ^ [], 4 ^ []), zero]]))).
% 1.38/2.44 cnf('1.2.2.1',plain,[-(age(3 ^ [], 4 ^ []) = zero)],extension(1)).
% 1.38/2.44 cnf('1.2.3',plain,[-(zero = tau), tau = zero],extension(7,bind([[_7456, _7501], [tau, zero]]))).
% 1.38/2.44 cnf('1.2.3.1',plain,[-(tau = zero), greater_or_equal(tau, zero), -(greater(tau, zero))],extension(14,bind([[_13484, _13535], [tau, zero]]))).
% 1.38/2.44 cnf('1.2.3.1.1',plain,[-(greater_or_equal(tau, zero))],extension(3)).
% 1.38/2.44 cnf('1.2.3.1.2',plain,[greater(tau, zero), -(smaller(zero, tau))],extension(15,bind([[_13880, _13925], [zero, tau]]))).
% 1.38/2.44 cnf('1.2.3.1.2.1',plain,[smaller(zero, tau), -(smaller(age(3 ^ [], 4 ^ []), tau)), zero = age(3 ^ [], 4 ^ []), tau = tau],extension(8,bind([[_11070, _11137, _11203, _11268], [zero, age(3 ^ [], 4 ^ []), tau, tau]]))).
% 1.38/2.44 cnf('1.2.3.1.2.1.1',plain,[smaller(age(3 ^ [], 4 ^ []), tau), -(smaller_or_equal(age(3 ^ [], 4 ^ []), tau))],extension(12,bind([[_13088, _13139], [age(3 ^ [], 4 ^ []), tau]]))).
% 1.38/2.44 cnf('1.2.3.1.2.1.1.1',plain,[smaller_or_equal(age(3 ^ [], 4 ^ []), tau)],reduction('1')).
% 1.38/2.44 cnf('1.2.3.1.2.1.2',plain,[-(zero = age(3 ^ [], 4 ^ []))],lemmata('1.2')).
% 1.38/2.44 cnf('1.2.3.1.2.1.3',plain,[-(tau = tau)],extension(6,bind([[_7303], [tau]]))).
% 1.38/2.44 cnf('1.3',plain,[-(positional_advantage(3 ^ [], 4 ^ [])), fragile_position(3 ^ []), smaller_or_equal(age(3 ^ [], 4 ^ []), sigma)],extension(10,bind([[_15448, _15556], [3 ^ [], 4 ^ []]]))).
% 1.38/2.44 cnf('1.3.1',plain,[-(fragile_position(3 ^ []))],extension(4)).
% 1.38/2.44 cnf('1.3.2',plain,[-(smaller_or_equal(age(3 ^ [], 4 ^ []), sigma)), smaller_or_equal(zero, zero), zero = age(3 ^ [], 4 ^ []), zero = sigma],extension(9,bind([[_11684, _11751, _11817, _11882], [zero, age(3 ^ [], 4 ^ []), zero, sigma]]))).
% 1.38/2.44 cnf('1.3.2.1',plain,[-(smaller_or_equal(zero, zero)), smaller_or_equal(zero, zero), zero = zero, zero = zero],extension(9,bind([[_11684, _11751, _11817, _11882], [zero, zero, zero, zero]]))).
% 1.38/2.44 cnf('1.3.2.1.1',plain,[-(smaller_or_equal(zero, zero)), smaller_or_equal(zero, zero), zero = zero, zero = zero],extension(9,bind([[_11684, _11751, _11817, _11882], [zero, zero, zero, zero]]))).
% 1.38/2.44 cnf('1.3.2.1.1.1',plain,[-(smaller_or_equal(zero, zero)), smaller_or_equal(age(3 ^ [], 4 ^ []), zero), age(3 ^ [], 4 ^ []) = zero, zero = zero],extension(9,bind([[_11684, _11751, _11817, _11882], [age(3 ^ [], 4 ^ []), zero, zero, zero]]))).
% 1.38/2.44 cnf('1.3.2.1.1.1.1',plain,[-(smaller_or_equal(age(3 ^ [], 4 ^ []), zero)), age(3 ^ [], 4 ^ []) = zero],extension(13,bind([[_13088, _13139], [age(3 ^ [], 4 ^ []), zero]]))).
% 1.38/2.44 cnf('1.3.2.1.1.1.1.1',plain,[-(age(3 ^ [], 4 ^ []) = zero)],extension(1)).
% 1.38/2.44 cnf('1.3.2.1.1.1.2',plain,[-(age(3 ^ [], 4 ^ []) = zero)],extension(1)).
% 1.38/2.44 cnf('1.3.2.1.1.1.3',plain,[-(zero = zero)],extension(6,bind([[_7303], [zero]]))).
% 1.38/2.44 cnf('1.3.2.1.1.2',plain,[-(zero = zero)],extension(6,bind([[_7303], [zero]]))).
% 1.38/2.44 cnf('1.3.2.1.1.3',plain,[-(zero = zero)],extension(6,bind([[_7303], [zero]]))).
% 1.38/2.44 cnf('1.3.2.1.2',plain,[-(zero = zero)],extension(6,bind([[_7303], [zero]]))).
% 1.38/2.44 cnf('1.3.2.1.3',plain,[-(zero = zero)],extension(6,bind([[_7303], [zero]]))).
% 1.38/2.44 cnf('1.3.2.2',plain,[-(zero = age(3 ^ [], 4 ^ [])), age(3 ^ [], 4 ^ []) = zero],extension(7,bind([[_7456, _7501], [age(3 ^ [], 4 ^ []), zero]]))).
% 1.38/2.44 cnf('1.3.2.2.1',plain,[-(age(3 ^ [], 4 ^ []) = zero)],extension(1)).
% 1.38/2.44 cnf('1.3.2.3',plain,[-(zero = sigma), -(smaller(zero, sigma)), -(greater(zero, sigma))],extension(17,bind([[_14977, _15028], [zero, sigma]]))).
% 1.38/2.44 cnf('1.3.2.3.1',plain,[smaller(zero, sigma), -(smaller(age(3 ^ [], 4 ^ []), sigma)), zero = age(3 ^ [], 4 ^ []), sigma = sigma],extension(8,bind([[_11070, _11137, _11203, _11268], [zero, age(3 ^ [], 4 ^ []), sigma, sigma]]))).
% 1.38/2.44 cnf('1.3.2.3.1.1',plain,[smaller(age(3 ^ [], 4 ^ []), sigma), -(smaller(age(3 ^ [], 4 ^ []), sigma)), age(3 ^ [], 4 ^ []) = age(3 ^ [], 4 ^ []), sigma = sigma],extension(8,bind([[_11070, _11137, _11203, _11268], [age(3 ^ [], 4 ^ []), age(3 ^ [], 4 ^ []), sigma, sigma]]))).
% 1.38/2.44 cnf('1.3.2.3.1.1.1',plain,[smaller(age(3 ^ [], 4 ^ []), sigma), -(smaller_or_equal(age(3 ^ [], 4 ^ []), sigma))],extension(12,bind([[_13088, _13139], [age(3 ^ [], 4 ^ []), sigma]]))).
% 1.38/2.44 cnf('1.3.2.3.1.1.1.1',plain,[smaller_or_equal(age(3 ^ [], 4 ^ []), sigma)],reduction('1.3')).
% 1.38/2.44 cnf('1.3.2.3.1.1.2',plain,[-(age(3 ^ [], 4 ^ []) = age(3 ^ [], 4 ^ []))],extension(6,bind([[_7303], [age(3 ^ [], 4 ^ [])]]))).
% 1.38/2.44 cnf('1.3.2.3.1.1.3',plain,[-(sigma = sigma)],extension(6,bind([[_7303], [sigma]]))).
% 1.38/2.44 cnf('1.3.2.3.1.2',plain,[-(zero = age(3 ^ [], 4 ^ []))],lemmata('1.3.2')).
% 1.38/2.44 cnf('1.3.2.3.1.3',plain,[-(sigma = sigma)],extension(6,bind([[_7303], [sigma]]))).
% 1.38/2.44 cnf('1.3.2.3.2',plain,[greater(zero, sigma), greater(sigma, zero)],extension(16,bind([[_14237, _14190], [sigma, zero]]))).
% 1.38/2.44 cnf('1.3.2.3.2.1',plain,[-(greater(sigma, zero)), greater_or_equal(sigma, zero), -(sigma = zero)],extension(14,bind([[_13484, _13535], [sigma, zero]]))).
% 1.38/2.44 cnf('1.3.2.3.2.1.1',plain,[-(greater_or_equal(sigma, zero))],extension(2)).
% 1.38/2.44 cnf('1.3.2.3.2.1.2',plain,[sigma = zero, -(zero = sigma)],extension(7,bind([[_7501, _7456], [zero, sigma]]))).
% 1.38/2.44 cnf('1.3.2.3.2.1.2.1',plain,[zero = sigma],reduction('1.3.2')).
% 1.38/2.44 %-----------------------------------------------------
% 1.44/2.45
% 1.44/2.45 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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