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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SYN986+1.001 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n016.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 05:51:12 PM UTC 2026

% Result   : Theorem 0.26s 1.61s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN986+1.001 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n016.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Tue May  5 08:52:21 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.33  % start to proof: theBenchmark
% 0.26/1.61  % Version  : CSE_E---1.7
% 0.26/1.61  % Problem  : theBenchmark.p
% 0.26/1.61  % SZS status Theorem for theBenchmark.p
% 0.26/1.61  % SZS output start CNFRefutation
% 0.26/1.61  fof(ck, conjecture, ?[X4, X5]:(r(zero,zero,X4)&r(zero,X4,X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ck)).
% 0.26/1.61  fof(hyp2, axiom, ![X1, X2, X3, X4]:(r(X1,X2,X3)=>(r(X3,X2,X4)=>r(X1,succ(X2),X4))), file('/export/starexec/sandbox/benchmark/Axioms/SYN002+0.ax', hyp2)).
% 0.26/1.61  fof(hyp1, axiom, ![X1]:r(X1,zero,succ(X1)), file('/export/starexec/sandbox/benchmark/Axioms/SYN002+0.ax', hyp1)).
% 0.26/1.61  fof(i_0_3, negated_conjecture, ~(?[X4, X5]:(r(zero,zero,X4)&r(zero,X4,X5))), inference(assume_negation,[status(cth)],[ck])).
% 0.26/1.61  fof(i_0_4, plain, ![X14, X15, X16, X17]:(~r(X14,X15,X16)|(~r(X16,X15,X17)|r(X14,succ(X15),X17))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[hyp2])])).
% 0.26/1.61  fof(i_0_5, negated_conjecture, ![X18, X19]:(~r(zero,zero,X18)|~r(zero,X18,X19)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_3])])).
% 0.26/1.61  fof(i_0_6, plain, ![X13]:r(X13,zero,succ(X13)), inference(variable_rename,[status(thm)],[hyp1])).
% 0.26/1.61  cnf(i_0_7, plain, (r(X1,succ(X2),X4)|~r(X1,X2,X3)|~r(X3,X2,X4)), inference(split_conjunct,[status(thm)],[i_0_4]), ['final']).
% 0.26/1.61  cnf(i_0_8, negated_conjecture, (~r(zero,zero,X1)|~r(zero,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_5]), ['final']).
% 0.26/1.61  cnf(i_0_9, plain, (r(X1,zero,succ(X1))), inference(split_conjunct,[status(thm)],[i_0_6]), ['final']).
% 0.26/1.63  cnf(i_0_10, plain, (~r(zero,succ(zero),X1)), inference(scs_inference,[],[i_0_9,i_0_8])).
% 0.26/1.63  cnf(i_0_11, plain, (r(X1,zero,succ(X1))), inference(rename_variables,[],[i_0_9])).
% 0.26/1.63  cnf(i_0_12, plain, (~r(zero,zero,X1)|~r(zero,X1,X2)), inference(rename_variables,[],[i_0_8])).
% 0.26/1.63  cnf(i_0_13, plain, (~r(zero,zero,X1)), inference(scs_inference,[],[i_0_9,i_0_11,i_0_8,i_0_7])).
% 0.26/1.63  cnf(i_0_14, plain, (r(X1,succ(X2),X3)|~r(X4,X2,X3)|~r(X1,X2,X4)), inference(rename_variables,[],[i_0_7])).
% 0.26/1.63  cnf(i_0_15,plain, ($false), inference(scs_inference,[],[i_0+9, i_0_13]), ['proof']).
% 0.26/1.63  % SZS output end CNFRefutation
% 0.26/1.63  % Total time : 1.270s
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