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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MGT115+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n018.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 : Tue May  5 04:48:30 PM UTC 2026

% Result   : Theorem 0.24s 1.61s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 7)

% Comments : 
%------------------------------------------------------------------------------
fof(issue_injective,axiom,
    ! [X1,X2] :
      ( issue(X1) = issue(X2)
     => X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',issue_injective) ).

fof(conjecture,conjecture,
    issue(pi1) != issue(pi2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).

fof(rule_pi2,axiom,
    rule(pi2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_pi2) ).

fof(rule_pi1,axiom,
    rule(pi1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_pi1) ).

fof(pi1_neq_pi2,axiom,
    pi1 != pi2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pi1_neq_pi2) ).

fof(i_0_5,plain,
    ! [X5,X6] :
      ( issue(X5) != issue(X6)
      | X5 = X6 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[issue_injective])]) ).

fof(i_0_6,negated_conjecture,
    issue(pi1) = issue(pi2),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conjecture])]) ).

cnf(i_0_7,plain,
    ( X1 = X2
    | issue(X1) != issue(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_5]),
    [final] ).

cnf(i_0_8,negated_conjecture,
    issue(pi1) = issue(pi2),
    inference(split_conjunct,[status(thm)],[i_0_6]),
    [final] ).

cnf(i_0_9,plain,
    rule(pi2),
    inference(split_conjunct,[status(thm)],[rule_pi2]),
    [final] ).

cnf(i_0_10,plain,
    rule(pi1),
    inference(split_conjunct,[status(thm)],[rule_pi1]),
    [final] ).

cnf(i_0_11,plain,
    pi1 != pi2,
    inference(split_conjunct,[status(thm)],[pi1_neq_pi2]),
    [final] ).

cnf(i_0_12,axiom,
    X1 = X1 ).

cnf(i_0_13,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_14,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_15,axiom,
    ( X1 != X2
    | issue(X1) = issue(X2) ) ).

cnf(i_0_16,axiom,
    ( X1 != X2
    | ~ rule(X1)
    | rule(X2) ) ).

cnf(i_0_12_001,axiom,
    X1 = X1 ).

cnf(i_0_13_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_14_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_15_004,axiom,
    ( X1 != X2
    | issue(X1) = issue(X2) ) ).

cnf(i_0_16_005,axiom,
    ( X1 != X2
    | ~ rule(X1)
    | rule(X2) ) ).

cnf(i_0_17,plain,
    X1 = X1,
    inference(equality_inference,[],[7]) ).

cnf(i_0_18,plain,
    $false,
    inference(scs_inference,[],[i_0_11,i_0_8,i_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : MGT115+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32  % Computer : n018.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Mon May  4 23:34:32 EDT 2026
% 0.13/0.32  % CPUTime    : 
% 0.13/0.33  % start to proof: theBenchmark
% 0.24/1.61  % Version  : CSE_E---1.7
% 0.24/1.61  % Problem  : theBenchmark.p
% 0.24/1.61  % SZS status Theorem for theBenchmark.p
% 0.24/1.61  % SZS output start CNFRefutation
% See solution above
% 0.24/1.62  % Total time : 1.271s
%------------------------------------------------------------------------------