%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN724+1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n025.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 05:40:09 PM UTC 2026
% Result : Theorem 0.27s 1.61s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN724+1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n025.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:44:28 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.27/1.61 % Version : CSE_E---1.7
% 0.27/1.61 % Problem : theBenchmark.p
% 0.27/1.61 % SZS status Theorem for theBenchmark.p
% 0.27/1.61 % SZS output start CNFRefutation
% 0.27/1.61 fof(thm31, conjecture, (![X1]:(r(X1)=>s(X1))<=>![X1]:((r(X1)&s(X1))<=>r(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm31)).
% 0.27/1.61 fof(i_0_1, negated_conjecture, ~((![X1]:(r(X1)=>s(X1))<=>![X1]:((r(X1)&s(X1))<=>r(X1)))), inference(assume_negation,[status(cth)],[thm31])).
% 0.27/1.61 fof(i_0_2, negated_conjecture, ![X6, X7]:((((~r(esk2_0)|~s(esk2_0)|~r(esk2_0)|r(esk1_0))&((r(esk2_0)|r(esk2_0)|r(esk1_0))&(s(esk2_0)|r(esk2_0)|r(esk1_0))))&((~r(esk2_0)|~s(esk2_0)|~r(esk2_0)|~s(esk1_0))&((r(esk2_0)|r(esk2_0)|~s(esk1_0))&(s(esk2_0)|r(esk2_0)|~s(esk1_0)))))&((~r(X7)|~s(X7)|r(X7)|(~r(X6)|s(X6)))&((r(X7)|~r(X7)|(~r(X6)|s(X6)))&(s(X7)|~r(X7)|(~r(X6)|s(X6)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1])])])])])).
% 0.27/1.61 cnf(i_0_3, negated_conjecture, (~r(esk2_0)|~s(esk2_0)|~r(esk2_0)|~s(esk1_0)), inference(split_conjunct,[status(thm)],[i_0_2])).
% 0.27/1.61 cnf(i_0_4, negated_conjecture, (r(esk1_0)|~r(esk2_0)|~s(esk2_0)|~r(esk2_0)), inference(split_conjunct,[status(thm)],[i_0_2])).
% 0.27/1.61 cnf(i_0_5, negated_conjecture, (r(esk2_0)|r(esk2_0)|~s(esk1_0)), inference(split_conjunct,[status(thm)],[i_0_2])).
% 0.27/1.61 cnf(i_0_6, negated_conjecture, (r(esk2_0)|r(esk2_0)|r(esk1_0)), inference(split_conjunct,[status(thm)],[i_0_2])).
% 0.27/1.61 cnf(i_0_7, negated_conjecture, (s(X1)|s(X2)|~r(X1)|~r(X2)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.27/1.61 cnf(i_0_8, negated_conjecture, (~r(esk2_0)|~s(esk1_0)|~s(esk2_0)), inference(cn,[status(thm)],[i_0_3]), ['final']).
% 0.27/1.61 cnf(i_0_9, negated_conjecture, (r(esk1_0)|~r(esk2_0)|~s(esk2_0)), inference(cn,[status(thm)],[i_0_4]), ['final']).
% 0.27/1.61 cnf(i_0_10, negated_conjecture, (s(esk2_0)|r(esk2_0)|~s(esk1_0)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.27/1.61 cnf(i_0_11, negated_conjecture, (s(esk2_0)|r(esk2_0)|r(esk1_0)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.27/1.61 cnf(i_0_12, negated_conjecture, (r(esk2_0)|~s(esk1_0)), inference(cn,[status(thm)],[i_0_5]), ['final']).
% 0.27/1.61 cnf(i_0_13, negated_conjecture, (r(esk1_0)|r(esk2_0)), inference(cn,[status(thm)],[i_0_6]), ['final']).
% 0.27/1.65 cnf(i_0_14, plain, (~s(esk1_0)|~s(esk2_0)), inference(scs_inference,[],[i_0_12,i_0_8])).
% 0.27/1.65 cnf(i_0_15, plain, (s(esk1_0)|r(esk2_0)), inference(scs_inference,[],[i_0_13,i_0_7])).
% 0.27/1.65 cnf(i_0_16, plain, (~s(esk2_0)|r(esk2_0)), inference(scs_inference,[],[i_0_14,i_0_15])).
% 0.27/1.65 cnf(i_0_17, plain, (~r(esk2_0)|r(esk2_0)), inference(scs_inference,[],[i_0_16,i_0_7])).
% 0.27/1.65 cnf(i_0_18, plain, (s(esk1_0)|~r(esk2_0)|~s(esk2_0)), inference(scs_inference,[],[i_0_9,i_0_7])).
% 0.27/1.65 cnf(i_0_19, plain, (~r(esk2_0)|~s(esk2_0)), inference(scs_inference,[],[i_0_18,i_0_14])).
% 0.27/1.65 cnf(i_0_20, plain, (~s(esk2_0)|r(esk1_0)), inference(scs_inference,[],[i_0_19,i_0_13])).
% 0.27/1.65 cnf(i_0_21, plain, (~r(esk2_0)|r(esk1_0)), inference(scs_inference,[],[i_0_20,i_0_7])).
% 0.27/1.65 cnf(i_0_22, plain, (r(esk1_0)|~s(esk1_0)), inference(scs_inference,[],[i_0_21,i_0_12])).
% 0.27/1.65 cnf(i_0_23, plain, (s(esk1_0)|~s(esk1_0)), inference(scs_inference,[],[i_0_22,i_0_7])).
% 0.27/1.65 cnf(i_0_24, plain, (r(esk2_0)), inference(scs_inference,[],[i_0_12,i_0_15])).
% 0.27/1.65 cnf(i_0_25, plain, (~s(esk2_0)), inference(scs_inference,[],[i_0_24,i_0_19])).
% 0.27/1.65 cnf(i_0_26, plain, (r(esk1_0)), inference(scs_inference,[],[i_0_24,i_0_21])).
% 0.27/1.65 cnf(i_0_27, plain, (s(esk2_0)), inference(scs_inference,[],[i_0_24,i_0_7])).
% 0.27/1.65 cnf(i_0_28, plain, (~r(X1)|s(X2)|~r(X2)|s(X1)), inference(rename_variables,[],[i_0_7])).
% 0.27/1.65 cnf(i_0_29,plain, ($false), inference(scs_inference,[],[i_0+27, i_0_25]), ['proof']).
% 0.27/1.65 % SZS output end CNFRefutation
% 0.27/1.65 % Total time : 1.269s
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