%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEV668+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n007.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 06:52:03 PM UTC 2026
% Result : Theorem 0.30s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV668+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.15/0.33 % Computer : n007.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 08:02:38 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.30/0.51 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 0.30/0.51 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.30/0.51 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.30/0.51 #
% 0.30/0.51 # Presaturation interreduction done
% 0.30/0.51
% 0.30/0.51 # Proof found!
% 0.30/0.51 # SZS status Theorem
% 0.30/0.51 # SZS output start CNFRefutation
% 0.30/0.51 fof('_HAMMER_GOAL', conjecture, ![X2199]:(cRedblack_2ecolor___24t(X2199)=>![X153]:(cRedblack_2eTREES_2etree___24t(X153)=>![X593]:(cRedblack_2ekey___24t(X593)=>![X767]:(cV___24t(X767)=>![X2283]:(cRedblack_2eTREES_2etree___24t(X2283)=>cRedblack_2eTREES_2eT___24a5(X2199,X153,X593,X767,X2283)!=cRedblack_2eTREES_2eE))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', '_HAMMER_GOAL')).
% 0.30/0.51 fof('$_discrim_Redblack.TREES.E$Redblack.TREES.T', axiom, ![X844, X845, X846, X847, X848]:cRedblack_2eTREES_2eE!=cRedblack_2eTREES_2eT___24a5(X844,X845,X846,X847,X848), file('/export/starexec/sandbox/benchmark/theBenchmark.p', '$_discrim_Redblack.TREES.E$Redblack.TREES.T')).
% 0.30/0.51 fof(c_0_2, negated_conjecture, ~(![X2199]:(cRedblack_2ecolor___24t(X2199)=>![X153]:(cRedblack_2eTREES_2etree___24t(X153)=>![X593]:(cRedblack_2ekey___24t(X593)=>![X767]:(cV___24t(X767)=>![X2283]:(cRedblack_2eTREES_2etree___24t(X2283)=>cRedblack_2eTREES_2eT___24a5(X2199,X153,X593,X767,X2283)!=cRedblack_2eTREES_2eE)))))), inference(assume_negation,[status(cth)],['_HAMMER_GOAL'])).
% 0.30/0.51 fof(c_0_3, negated_conjecture, (cRedblack_2ecolor___24t(esk1_0)&(cRedblack_2eTREES_2etree___24t(esk2_0)&(cRedblack_2ekey___24t(esk3_0)&(cV___24t(esk4_0)&(cRedblack_2eTREES_2etree___24t(esk5_0)&cRedblack_2eTREES_2eT___24a5(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)=cRedblack_2eTREES_2eE))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])).
% 0.30/0.51 fof(c_0_4, plain, ![X2289, X2290, X2291, X2292, X2293]:cRedblack_2eTREES_2eE!=cRedblack_2eTREES_2eT___24a5(X2289,X2290,X2291,X2292,X2293), inference(variable_rename,[status(thm)],['$_discrim_Redblack.TREES.E$Redblack.TREES.T'])).
% 0.30/0.51 cnf(c_0_5, negated_conjecture, (cRedblack_2eTREES_2eT___24a5(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)=cRedblack_2eTREES_2eE), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.30/0.51 cnf(c_0_6, plain, (cRedblack_2eTREES_2eE!=cRedblack_2eTREES_2eT___24a5(X1,X2,X3,X4,X5)), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.30/0.51 cnf(c_0_7, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_5, c_0_6]), ['proof']).
% 0.30/0.51 # SZS output end CNFRefutation
% 0.30/0.51 # Training examples: 0 positive, 0 negative
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