%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN334+1 : TPTP v9.2.1. Released v2.0.0.
% 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 05:36:49 PM UTC 2026
% Result : Theorem 0.93s 1.62s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN334+1 : TPTP v9.2.1. Released v2.0.0.
% 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
% 0.16/0.33 % Computer : n018.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:29:17 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.93/1.62 % Version : CSE_E---1.7
% 0.93/1.62 % Problem : theBenchmark.p
% 0.93/1.62 % SZS status Theorem for theBenchmark.p
% 0.93/1.62 % SZS output start CNFRefutation
% 0.93/1.62 fof(church_46_14_6, conjecture, ?[X1, X2]:![X3]:((big_f(X1,X2)=>(big_f(X1,X3)<=>big_g(X2,X3)))=>((big_f(X1,X2)<=>(big_f(X3,X3)=>big_g(X3,X3)))=>(big_g(X1,X2)<=>big_g(X3,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', church_46_14_6)).
% 0.93/1.62 fof(i_0_1, negated_conjecture, ~(?[X1, X2]:![X3]:((big_f(X1,X2)=>(big_f(X1,X3)<=>big_g(X2,X3)))=>((big_f(X1,X2)<=>(big_f(X3,X3)=>big_g(X3,X3)))=>(big_g(X1,X2)<=>big_g(X3,X3))))), inference(assume_negation,[status(cth)],[church_46_14_6])).
% 0.93/1.62 fof(i_0_2, negated_conjecture, ![X7, X8]:(((~big_f(X7,esk1_2(X7,X8))|big_g(X8,esk1_2(X7,X8))|~big_f(X7,X8))&(~big_g(X8,esk1_2(X7,X8))|big_f(X7,esk1_2(X7,X8))|~big_f(X7,X8)))&(((~big_f(X7,X8)|(~big_f(esk1_2(X7,X8),esk1_2(X7,X8))|big_g(esk1_2(X7,X8),esk1_2(X7,X8))))&((big_f(esk1_2(X7,X8),esk1_2(X7,X8))|big_f(X7,X8))&(~big_g(esk1_2(X7,X8),esk1_2(X7,X8))|big_f(X7,X8))))&((~big_g(X7,X8)|~big_g(esk1_2(X7,X8),esk1_2(X7,X8)))&(big_g(X7,X8)|big_g(esk1_2(X7,X8),esk1_2(X7,X8)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1])])])])).
% 0.93/1.62 cnf(i_0_3, negated_conjecture, (big_g(esk1_2(X1,X2),esk1_2(X1,X2))|~big_f(X1,X2)|~big_f(esk1_2(X1,X2),esk1_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.93/1.62 cnf(i_0_4, negated_conjecture, (~big_g(X1,X2)|~big_g(esk1_2(X1,X2),esk1_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.93/1.62 cnf(i_0_5, negated_conjecture, (big_g(X2,esk1_2(X1,X2))|~big_f(X1,esk1_2(X1,X2))|~big_f(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.93/1.62 cnf(i_0_6, negated_conjecture, (big_f(X2,esk1_2(X2,X1))|~big_g(X1,esk1_2(X2,X1))|~big_f(X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.93/1.62 cnf(i_0_7, negated_conjecture, (big_f(X1,X2)|~big_g(esk1_2(X1,X2),esk1_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.93/1.62 cnf(i_0_8, negated_conjecture, (big_g(X1,X2)|big_g(esk1_2(X1,X2),esk1_2(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 0.93/1.62 cnf(i_0_9, negated_conjecture, (big_f(esk1_2(X1,X2),esk1_2(X1,X2))|big_f(X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2]), ['final']).
% 1.04/1.76 cnf(i_0_10, plain, (~big_g(esk1_2(X1,X2),esk1_2(X1,X2))|big_g(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_4,i_0_8])).
% 1.04/1.76 cnf(i_0_11, plain, (~big_f(X1,X2)|~big_g(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_g(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_7,i_0_3])).
% 1.04/1.76 cnf(i_0_12, plain, (~big_f(X1,X2)|big_f(esk1_2(X1,esk1_2(X1,X2)),esk1_2(X1,esk1_2(X1,X2)))|big_g(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_9,i_0_5])).
% 1.04/1.76 cnf(i_0_13, plain, (~big_g(esk1_2(X1,X2),esk1_2(X1,X2))|big_f(X1,esk1_2(X1,X2))|~big_g(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_6,i_0_7])).
% 1.04/1.76 cnf(i_0_14, plain, (big_f(X1,esk1_2(X1,X2))|~big_g(X2,esk1_2(X1,X2))|big_g(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_13,i_0_8])).
% 1.04/1.76 cnf(i_0_15, plain, (~big_g(X1,X2)|big_g(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_4,i_0_8])).
% 1.04/1.76 cnf(i_0_16, plain, (big_g(X1,X2)|~big_g(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_4,i_0_8])).
% 1.04/1.76 cnf(i_0_17, plain, (~big_g(X1,X2)|big_g(X1,X2)), inference(scs_inference,[],[i_0_4,i_0_8])).
% 1.04/1.76 cnf(i_0_18, plain, (~big_f(X1,X2)|~big_g(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|~big_f(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_4,i_0_3])).
% 1.04/1.76 cnf(i_0_19, plain, (~big_f(X1,X2)|~big_g(X1,X2)|~big_f(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_4,i_0_3])).
% 1.04/1.76 cnf(i_0_20, plain, (~big_f(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|~big_f(X1,X2)|~big_f(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_19,i_0_3])).
% 1.04/1.76 cnf(i_0_21, plain, (~big_f(X1,X2)|~big_g(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))|~big_f(X1,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_4,i_0_5])).
% 1.04/1.76 cnf(i_0_22, plain, (big_f(X1,X2)|big_g(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_7,i_0_8])).
% 1.04/1.76 cnf(i_0_23, plain, (~big_f(X1,X2)|~big_g(esk1_2(X1,esk1_2(X1,X2)),esk1_2(X1,esk1_2(X1,X2)))|big_g(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_7,i_0_5])).
% 1.04/1.76 cnf(i_0_24, plain, (big_f(X1,X2)|big_g(X1,X2)), inference(scs_inference,[],[i_0_7,i_0_8])).
% 1.04/1.76 cnf(i_0_25, plain, (big_f(esk1_2(X1,X2),esk1_2(X1,X2))|~big_g(X1,X2)), inference(scs_inference,[],[i_0_24,i_0_4])).
% 1.04/1.76 cnf(i_0_26, plain, (big_f(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_g(X1,X2)), inference(scs_inference,[],[i_0_25,i_0_8])).
% 1.04/1.76 cnf(i_0_27, plain, (~big_f(X1,X2)|big_g(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_24,i_0_3])).
% 1.04/1.76 cnf(i_0_28, plain, (~big_f(X1,X2)|~big_g(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_27,i_0_4])).
% 1.04/1.76 cnf(i_0_29, plain, (~big_f(X1,X2)|big_f(X2,esk1_2(X1,X2))|big_f(X1,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_24,i_0_6])).
% 1.04/1.76 cnf(i_0_30, plain, (big_f(X1,esk1_2(X1,X2))|big_g(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))|~big_f(X1,X2)), inference(scs_inference,[],[i_0_29,i_0_27])).
% 1.04/1.76 cnf(i_0_31, plain, (big_g(X1,esk1_2(X1,X2))|~big_f(X1,X2)|big_g(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_24,i_0_5])).
% 1.04/1.76 cnf(i_0_32, plain, (big_f(X1,X2)|big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_31,i_0_9])).
% 1.04/1.76 cnf(i_0_33, plain, (~big_g(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_f(X1,X2)), inference(scs_inference,[],[i_0_32,i_0_13])).
% 1.04/1.76 cnf(i_0_34, plain, (~big_g(X1,esk1_2(X2,X1))|big_f(X2,esk1_2(X2,X1))|big_f(esk1_2(X2,X1),esk1_2(X2,X1))), inference(scs_inference,[],[i_0_24,i_0_13])).
% 1.04/1.76 cnf(i_0_35, plain, (big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|~big_g(X2,esk1_2(X1,X2))|big_f(X1,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_34,i_0_29])).
% 1.04/1.76 cnf(i_0_36, plain, (big_g(X1,X2)|~big_f(X1,esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_24,i_0_5])).
% 1.04/1.76 cnf(i_0_37, plain, (big_g(X1,esk1_2(X2,X1))|big_g(X2,X1)|~big_g(esk1_2(X2,esk1_2(X2,X1)),esk1_2(X2,esk1_2(X2,X1)))), inference(scs_inference,[],[i_0_36,i_0_7])).
% 1.04/1.76 cnf(i_0_38, plain, (~big_g(esk1_2(X1,X2),esk1_2(X1,X2))|big_f(X1,esk1_2(X1,X2))|big_f(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_24,i_0_13])).
% 1.04/1.76 cnf(i_0_39, plain, (big_f(X1,esk1_2(X1,X2))|big_f(X2,esk1_2(X1,X2))|big_g(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_38,i_0_8])).
% 1.04/1.76 cnf(i_0_40, plain, (big_g(X1,X2)|~big_g(X2,esk1_2(X1,X2))|big_f(X1,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_24,i_0_6])).
% 1.04/1.76 cnf(i_0_41, plain, (big_f(X1,esk1_2(X1,X2))|~big_f(X1,esk1_2(X1,X2))|big_g(X1,X2)), inference(scs_inference,[],[i_0_40,i_0_36])).
% 1.04/1.76 cnf(i_0_42, plain, (big_f(X1,esk1_2(X1,X2))|~big_f(X1,esk1_2(X1,X2))|~big_g(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_41,i_0_4])).
% 1.04/1.76 cnf(i_0_43, plain, (big_f(X1,esk1_2(X1,X2))|~big_f(X1,esk1_2(X1,X2))|big_g(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_42,i_0_8])).
% 1.04/1.76 cnf(i_0_44, plain, (~big_f(esk1_2(X1,X2),esk1_2(X1,X2))|big_f(X1,X2)|~big_f(X1,X2)), inference(scs_inference,[],[i_0_24,i_0_19])).
% 1.04/1.76 cnf(i_0_45, plain, (big_g(X1,X2)|big_f(X2,esk1_2(X1,X2))|big_f(X1,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_24,i_0_29])).
% 1.04/1.76 cnf(i_0_46, plain, (big_f(esk1_2(X1,X2),esk1_2(X1,X2))|big_f(X1,esk1_2(X1,X2))|big_f(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_24,i_0_34])).
% 1.04/1.76 cnf(i_0_47, plain, (big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_f(X1,esk1_2(X1,X2))|big_f(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_46,i_0_29])).
% 1.04/1.76 cnf(i_0_48, plain, (big_g(X1,X2)|big_g(X1,esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_24,i_0_31])).
% 1.04/1.76 cnf(i_0_49, plain, (big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|~big_g(X1,X2)), inference(scs_inference,[],[i_0_48,i_0_4])).
% 1.04/1.76 cnf(i_0_50, plain, (big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_g(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_49,i_0_8])).
% 1.04/1.76 cnf(i_0_51, plain, (big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_g(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_50,i_0_40])).
% 1.04/1.76 cnf(i_0_52, plain, (big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_f(X1,X2)), inference(scs_inference,[],[i_0_51,i_0_7])).
% 1.04/1.76 cnf(i_0_53, plain, (big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_g(X1,esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_52,i_0_31])).
% 1.04/1.76 cnf(i_0_54, plain, (big_f(X1,esk1_2(X1,X2))|~big_f(X1,esk1_2(X1,X2))|big_f(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_24,i_0_42])).
% 1.04/1.76 cnf(i_0_55, plain, (big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_f(X1,esk1_2(X1,X2))|~big_f(X1,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_54,i_0_29])).
% 1.04/1.76 cnf(i_0_56, plain, (~big_g(esk1_2(X1,X2),esk1_2(X1,X2))|~big_f(X1,esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_7,i_0_5])).
% 1.04/1.76 cnf(i_0_57, plain, (big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|~big_f(X1,esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_56,i_0_45])).
% 1.04/1.76 cnf(i_0_58, plain, (big_f(X1,X2)|~big_f(X1,X2)), inference(scs_inference,[],[i_0_7,i_0_27])).
% 1.04/1.76 cnf(i_0_59, plain, (big_g(X1,esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))|~big_g(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_7,i_0_31])).
% 1.04/1.76 cnf(i_0_60, plain, (big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_g(X1,esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_59,i_0_48])).
% 1.04/1.76 cnf(i_0_61, plain, (~big_g(esk1_2(X1,X2),esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))|~big_g(esk1_2(X1,esk1_2(X1,X2)),esk1_2(X1,esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_7,i_0_56])).
% 1.04/1.76 cnf(i_0_62, plain, (big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_g(X2,esk1_2(X1,X2))|~big_g(esk1_2(X1,esk1_2(X1,X2)),esk1_2(X1,esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_7,i_0_57])).
% 1.04/1.76 cnf(i_0_63, plain, (~big_g(esk1_2(X1,X2),esk1_2(X1,X2))|big_f(X1,esk1_2(X1,X2))|big_g(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_8,i_0_13])).
% 1.04/1.76 cnf(i_0_64, plain, (big_g(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2))))|big_g(X1,X2)), inference(scs_inference,[],[i_0_8,i_0_49])).
% 1.04/1.76 cnf(i_0_65, plain, (big_f(esk1_2(X1,X2),esk1_2(X1,X2))|big_f(X1,esk1_2(X1,X2))|big_g(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_8,i_0_34])).
% 1.04/1.76 cnf(i_0_66, plain, (~big_f(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_g(X1,X2)|~big_f(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_8,i_0_19])).
% 1.04/1.76 cnf(i_0_67, plain, (big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_f(X1,esk1_2(X1,X2))|big_g(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_8,i_0_35])).
% 1.04/1.76 cnf(i_0_68, plain, (big_f(X1,esk1_2(X1,X2))|big_g(X1,X2)|big_g(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_8,i_0_40])).
% 1.04/1.76 cnf(i_0_69, plain, (~big_f(X1,esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))|big_g(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_8,i_0_56])).
% 1.04/1.76 cnf(i_0_70, plain, (big_g(X1,esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))|big_g(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_8,i_0_59])).
% 1.04/1.76 cnf(i_0_71, plain, (big_f(esk1_2(X1,X2),esk1_2(X1,X2))|~big_f(X1,esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_9,i_0_5])).
% 1.04/1.76 cnf(i_0_72, plain, (~big_f(X1,esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))|big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_71,i_0_31])).
% 1.04/1.76 cnf(i_0_73, plain, (~big_g(X1,X2)|~big_f(X1,X2)|big_f(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_9,i_0_19])).
% 1.04/1.76 cnf(i_0_74, plain, (big_g(X1,esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))|big_f(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_9,i_0_31])).
% 1.04/1.76 cnf(i_0_75, plain, (big_g(X1,esk1_2(X2,X1))|big_g(X2,X1)|big_f(esk1_2(X2,esk1_2(X2,X1)),esk1_2(X2,esk1_2(X2,X1)))), inference(scs_inference,[],[i_0_9,i_0_36])).
% 1.04/1.76 cnf(i_0_76, plain, (~big_g(esk1_2(X1,X2),esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))|big_f(esk1_2(X1,esk1_2(X1,X2)),esk1_2(X1,esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_9,i_0_56])).
% 1.04/1.76 cnf(i_0_77, plain, (big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_g(X2,esk1_2(X1,X2))|big_f(esk1_2(X1,esk1_2(X1,X2)),esk1_2(X1,esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_9,i_0_57])).
% 1.04/1.76 cnf(i_0_78, plain, (big_f(esk1_2(X1,X2),esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))|big_f(esk1_2(X1,esk1_2(X1,X2)),esk1_2(X1,esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_9,i_0_71])).
% 1.04/1.76 cnf(i_0_79, plain, (big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_g(X2,esk1_2(X1,X2))|big_f(esk1_2(X1,esk1_2(X1,X2)),esk1_2(X1,esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_9,i_0_72])).
% 1.04/1.76 cnf(i_0_80, plain, (~big_g(X1,X2)|big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_25,i_0_29])).
% 1.04/1.76 cnf(i_0_81, plain, (big_f(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2))))|big_g(X1,X2)), inference(scs_inference,[],[i_0_80,i_0_8])).
% 1.04/1.76 cnf(i_0_82, plain, (big_f(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|~big_f(X1,X2)), inference(scs_inference,[],[i_0_25,i_0_27])).
% 1.04/1.76 cnf(i_0_83, plain, (big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_f(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_25,i_0_50])).
% 1.04/1.76 cnf(i_0_84, plain, (big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_f(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))), inference(scs_inference,[],[i_0_25,i_0_51])).
% 1.04/1.76 cnf(i_0_85, plain, (~big_f(X1,X2)|big_f(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))|~big_f(X1,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_25,i_0_5])).
% 1.04/1.76 cnf(i_0_86, plain, (~big_f(X1,X2)|big_f(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))|big_g(X1,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_25,i_0_31])).
% 1.04/1.76 cnf(i_0_87, plain, (~big_f(X1,esk1_2(X1,X2))|big_f(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))|big_g(X1,X2)), inference(scs_inference,[],[i_0_25,i_0_36])).
% 1.04/1.76 cnf(i_0_88, plain, (big_g(X1,esk1_2(X1,X2))|big_f(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))|big_g(X1,X2)), inference(scs_inference,[],[i_0_25,i_0_48])).
% 1.04/1.76 cnf(i_0_89, plain, (big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_f(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))|big_g(X1,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_25,i_0_53])).
% 1.04/1.76 cnf(i_0_90, plain, (big_f(esk1_2(X1,esk1_2(X2,X1)),esk1_2(X1,esk1_2(X2,X1)))|~big_g(esk1_2(X2,X1),esk1_2(X2,X1))|~big_f(X2,esk1_2(X2,X1))), inference(scs_inference,[],[i_0_25,i_0_56])).
% 1.04/1.76 cnf(i_0_91, plain, (big_f(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_f(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))|~big_f(X1,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_25,i_0_57])).
% 1.04/1.76 cnf(i_0_92, plain, (big_f(esk1_2(X1,esk1_2(X2,X1)),esk1_2(X1,esk1_2(X2,X1)))|~big_g(esk1_2(X2,X1),esk1_2(X2,X1))|big_g(X2,esk1_2(X2,X1))), inference(scs_inference,[],[i_0_25,i_0_59])).
% 1.04/1.76 cnf(i_0_93, plain, (big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_f(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))|big_g(X1,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_25,i_0_60])).
% 1.04/1.76 cnf(i_0_94, plain, (big_f(esk1_2(X1,esk1_2(X2,X1)),esk1_2(X1,esk1_2(X2,X1)))|big_f(esk1_2(X2,X1),esk1_2(X2,X1))|~big_f(X2,esk1_2(X2,X1))), inference(scs_inference,[],[i_0_25,i_0_71])).
% 1.04/1.76 cnf(i_0_95, plain, (big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_f(esk1_2(X2,esk1_2(X1,X2)),esk1_2(X2,esk1_2(X1,X2)))|~big_f(X1,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_25,i_0_72])).
% 1.04/1.76 cnf(i_0_96, plain, (big_f(esk1_2(X1,esk1_2(X2,X1)),esk1_2(X1,esk1_2(X2,X1)))|big_f(esk1_2(X2,X1),esk1_2(X2,X1))|big_g(X2,esk1_2(X2,X1))), inference(scs_inference,[],[i_0_25,i_0_74])).
% 1.04/1.76 cnf(i_0_97, plain, (big_g(esk1_2(X1,esk1_2(X1,X2)),esk1_2(X1,esk1_2(X1,X2)))|~big_f(X1,X2)|~big_g(X2,esk1_2(X1,X2))), inference(scs_inference,[],[i_0_27,i_0_6])).
% 1.04/1.76 cnf(i_0_98, plain, (~big_f(X1,X2)|~big_g(X1,X2)), inference(scs_inference,[],[i_0_27,i_0_4])).
% 1.04/1.76 cnf(i_0_99, plain, (~big_f(esk1_2(X1,X2),esk1_2(X1,X2))|big_g(X1,X2)), inference(scs_inference,[],[i_0_98,i_0_8])).
% 1.04/1.76 cnf(i_0_100, plain, (~big_f(esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_f(X1,X2)), inference(scs_inference,[],[i_0_99,i_0_7])).
% 1.04/1.76 cnf(i_0_101, plain, (~big_g(esk1_2(X1,X2),esk1_2(esk1_2(X1,X2),esk1_2(X1,X2)))|big_g(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_98,i_0_51])).
% 1.04/1.76 cnf(i_0_102, plain, (big_g(esk1_2(X1,X2),esk1_2(X1,X2))|big_f(X1,X2)), inference(scs_inference,[],[i_0_101,i_0_32])).
% 1.04/1.76 cnf(i_0_103, plain, (big_g(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_102,i_0_27])).
% 1.04/1.76 cnf(i_0_104, plain, (~big_g(X1,X2)), inference(scs_inference,[],[i_0_103,i_0_4])).
% 1.04/1.76 cnf(i_0_105, plain, (~big_g(esk1_2(X1,X2),esk1_2(X1,X2))|~big_g(X1,X2)), inference(rename_variables,[],[i_0_4])).
% 1.04/1.76 cnf(i_0_106, plain, (big_f(X1,X2)), inference(scs_inference,[],[i_0_103,i_0_4,i_0_7])).
% 1.04/1.76 cnf(i_0_107, plain, (~big_g(esk1_2(X1,X2),esk1_2(X1,X2))|big_f(X1,X2)), inference(rename_variables,[],[i_0_7])).
% 1.04/1.76 cnf(i_0_108, plain, (~big_f(esk1_2(X1,X2),esk1_2(X1,X2))), inference(scs_inference,[],[i_0_103,i_0_4,i_0_7,i_0_98])).
% 1.04/1.76 cnf(i_0_109, plain, (~big_g(X1,X2)|~big_f(X1,X2)), inference(rename_variables,[],[i_0_98])).
% 1.04/1.76 cnf(i_0_110, plain, (~big_f(X1,X1)), inference(scs_inference,[],[i_0_103,i_0_4,i_0_7,i_0_98,i_0_5])).
% 1.04/1.76 cnf(i_0_111, plain, (~big_f(X1,esk1_2(X1,X2))|big_g(X2,esk1_2(X1,X2))|~big_f(X1,X2)), inference(rename_variables,[],[i_0_5])).
% 1.04/1.76 cnf(i_0_112, plain, (big_g(X1,X1)), inference(scs_inference,[],[i_0_103,i_0_4,i_0_7,i_0_98,i_0_5,i_0_36])).
% 1.04/1.76 cnf(i_0_113, plain, (big_g(X1,esk1_2(X2,X1))|~big_f(X2,esk1_2(X2,X1))|big_g(X2,X1)), inference(rename_variables,[],[i_0_36])).
% 1.04/1.76 cnf(i_0_114, plain, (big_g(esk1_2(X1,X1),esk1_2(esk1_2(X1,X1),esk1_2(X1,X1)))), inference(scs_inference,[],[i_0_103,i_0_4,i_0_7,i_0_98,i_0_5,i_0_36,i_0_60])).
% 1.04/1.76 cnf(i_0_115, plain, (big_g(X1,esk1_2(X2,X1))|big_g(esk1_2(X2,X1),esk1_2(esk1_2(X2,X1),esk1_2(X2,X1)))|big_g(X2,esk1_2(X2,X1))), inference(rename_variables,[],[i_0_60])).
% 1.04/1.76 cnf(i_0_116, plain, (big_g(esk1_2(X1,X1),esk1_2(X1,esk1_2(X1,X1)))|big_g(X1,esk1_2(X1,esk1_2(X1,X1)))), inference(scs_inference,[],[i_0_103,i_0_4,i_0_7,i_0_98,i_0_5,i_0_36,i_0_60,i_0_31])).
% 1.04/1.76 cnf(i_0_117, plain, (~big_f(X1,X2)|big_g(X2,esk1_2(X1,X2))|big_g(X1,esk1_2(X1,X2))), inference(rename_variables,[],[i_0_31])).
% 1.04/1.76 cnf(i_0_118, plain, (big_g(esk1_2(X1,X2),esk1_2(X1,X2))), inference(rename_variables,[],[i_0_103])).
% 1.04/1.76 cnf(i_0_120,plain, ($false), inference(scs_inference,[],[i_0+104, i_0_112]), ['proof']).
% 1.04/1.76 % SZS output end CNFRefutation
% 1.04/1.76 % Total time : 1.268s
%------------------------------------------------------------------------------