%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN327+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : 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 : 300s
% DateTime : Tue May 5 05:36:48 PM UTC 2026
% Result : Theorem 0.25s 1.61s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN327+1 : TPTP v9.2.1. Released v2.0.0.
% 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
% 0.15/0.33 % Computer : n019.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 08:28:44 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.25/1.61 % Version : CSE_E---1.7
% 0.25/1.61 % Problem : theBenchmark.p
% 0.25/1.61 % SZS status Theorem for theBenchmark.p
% 0.25/1.61 % SZS output start CNFRefutation
% 0.25/1.61 fof(church_46_12_2, conjecture, ![X1]:?[X2]:![X3]:(big_f(X2,X1)=>((big_f(X1,X3)=>big_f(X1,X2))&(big_f(X1,X2)=>(~(big_f(X1,X3))=>(big_f(X2,X1)&big_f(X3,X2)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', church_46_12_2)).
% 0.25/1.61 fof(i_0_1, negated_conjecture, ~(![X1]:?[X2]:![X3]:(big_f(X2,X1)=>((big_f(X1,X3)=>big_f(X1,X2))&(big_f(X1,X2)=>(~big_f(X1,X3)=>(big_f(X2,X1)&big_f(X3,X2))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[church_46_12_2])])).
% 0.25/1.61 fof(i_0_2, negated_conjecture, ![X8]:(big_f(X8,esk1_0)&(((big_f(esk1_0,X8)|big_f(esk1_0,esk2_1(X8)))&((~big_f(esk1_0,esk2_1(X8))|big_f(esk1_0,esk2_1(X8)))&(~big_f(X8,esk1_0)|~big_f(esk2_1(X8),X8)|big_f(esk1_0,esk2_1(X8)))))&((big_f(esk1_0,X8)|~big_f(esk1_0,X8))&((~big_f(esk1_0,esk2_1(X8))|~big_f(esk1_0,X8))&(~big_f(X8,esk1_0)|~big_f(esk2_1(X8),X8)|~big_f(esk1_0,X8)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1])])])])).
% 0.25/1.61 cnf(i_0_3, negated_conjecture, (~big_f(X1,esk1_0)|~big_f(esk2_1(X1),X1)|~big_f(esk1_0,X1)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.25/1.61 cnf(i_0_4, negated_conjecture, (big_f(esk1_0,esk2_1(X1))|~big_f(X1,esk1_0)|~big_f(esk2_1(X1),X1)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.25/1.61 cnf(i_0_5, negated_conjecture, (~big_f(esk1_0,esk2_1(X1))|~big_f(esk1_0,X1)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.25/1.61 cnf(i_0_6, negated_conjecture, (big_f(esk1_0,X1)|big_f(esk1_0,esk2_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.25/1.61 cnf(i_0_7, negated_conjecture, (big_f(X1,esk1_0)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.25/1.63 cnf(i_0_8, plain, (~big_f(esk1_0,esk1_0)), inference(scs_inference,[],[i_0_7,i_0_3])).
% 0.25/1.63 cnf(i_0_9, plain, (big_f(X1,esk1_0)), inference(rename_variables,[],[i_0_7])).
% 0.25/1.63 cnf(i_0_10, plain, (~big_f(esk2_1(X1),X1)|~big_f(esk1_0,X1)|~big_f(X1,esk1_0)), inference(rename_variables,[],[i_0_3])).
% 0.25/1.63 cnf(i_0_11,plain, ($false), inference(scs_inference,[],[i_0+7, i_0_8]), ['proof']).
% 0.25/1.63 % SZS output end CNFRefutation
% 0.25/1.63 % Total time : 1.271s
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