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CSI_E---1.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : CSI_E---1.1
% Problem  : LCL127-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar mcs_scs.jar %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 11:20:23 AM UTC 2026

% Result   : Unsatisfiable 31.98s 5.15s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem    : LCL127-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02  % Command    : java -jar mcs_scs.jar %d %s
% 0.07/0.35  % Computer : n013.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit   : 300
% 0.07/0.35  % WCLimit    : 300
% 0.07/0.35  % DateTime   : Sat Sep  5 07:42:20 UTC 2026
% 0.07/0.35  % CPUTime    : 
% 0.13/0.47  start to proof:theBenchmark.p
% 31.98/5.15  % Version  : CSI_E---1.1
% 31.98/5.15  % Problem  : theBenchmark.p
% 31.98/5.15  % Proof found!
% 31.98/5.15  # SZS status Unsatisfiable
% 31.98/5.15  % SZS output start Proof
% 31.98/5.15  cnf(condensed_detachment, axiom, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', condensed_detachment)).
% 31.98/5.15  cnf(s_2, axiom, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(equivalent(X2,X4),equivalent(X3,X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s_2)).
% 31.98/5.15  cnf(prove_lg_2, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_lg_2)).
% 31.98/5.15  cnf(c_0_3, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 31.98/5.15  cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 31.98/5.15  cnf(c_0_5, axiom, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(equivalent(X2,X4),equivalent(X3,X4)))))), s_2).
% 31.98/5.15  cnf(c_0_6, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X4,X3))))|~is_a_theorem(equivalent(X1,equivalent(X2,X4)))), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 31.98/5.15  cnf(c_0_7, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))|~is_a_theorem(equivalent(X4,equivalent(X1,X3)))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_6])).
% 31.98/5.15  cnf(c_0_8, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X3,equivalent(X4,X1)))|~is_a_theorem(equivalent(X4,X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_7])).
% 31.98/5.15  cnf(c_0_9, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(X3,X4)))|~is_a_theorem(equivalent(X3,X1))|~is_a_theorem(X4)|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_8])).
% 31.98/5.15  cnf(c_0_10, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X3),equivalent(X4,X3)))|~is_a_theorem(equivalent(X5,equivalent(X2,X4)))|~is_a_theorem(equivalent(X5,X1))), inference(spm,[status(thm)],[c_0_9, c_0_5])).
% 31.98/5.15  cnf(c_0_11, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(X3,X4)))|~is_a_theorem(equivalent(X5,equivalent(X3,X4)))|~is_a_theorem(equivalent(X2,X1))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_10, c_0_7])).
% 31.98/5.15  cnf(c_0_12, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(X6,X5)))))|~is_a_theorem(equivalent(equivalent(X3,equivalent(X4,X6)),X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_11, c_0_5])).
% 31.98/5.15  cnf(c_0_13, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X4,X3))))|~is_a_theorem(equivalent(X5,equivalent(X1,equivalent(equivalent(X2,X6),equivalent(X4,X6)))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_12, c_0_5])).
% 31.98/5.15  cnf(c_0_14, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))|~is_a_theorem(equivalent(X4,equivalent(X5,equivalent(equivalent(X1,X6),equivalent(X3,X6)))))|~is_a_theorem(X5)|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_13])).
% 31.98/5.15  cnf(c_0_15, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X3,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(X1,X6)))))|~is_a_theorem(equivalent(X5,X2))|~is_a_theorem(X4)|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_14])).
% 31.98/5.15  cnf(c_0_16, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(X6,X5)))))|~is_a_theorem(equivalent(X4,X1))|~is_a_theorem(X6)|~is_a_theorem(X3)|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_15])).
% 31.98/5.15  cnf(c_0_17, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(X3,equivalent(X4,X5))))|~is_a_theorem(equivalent(X3,equivalent(X6,X5)))|~is_a_theorem(equivalent(X4,X1))|~is_a_theorem(X6)|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_16, c_0_6])).
% 31.98/5.15  cnf(c_0_18, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(X3,equivalent(X4,X5))))|~is_a_theorem(equivalent(equivalent(X6,X5),X1))|~is_a_theorem(equivalent(X2,equivalent(X6,X4)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_17, c_0_5])).
% 31.98/5.15  cnf(c_0_19, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,equivalent(X3,X4)),equivalent(X5,equivalent(X3,X6))))|~is_a_theorem(equivalent(equivalent(X5,equivalent(X4,X6)),X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_18, c_0_5])).
% 31.98/5.15  cnf(c_0_20, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,equivalent(X3,X3)),X1))|~is_a_theorem(equivalent(X4,equivalent(X5,X2)))|~is_a_theorem(X5)|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_19, c_0_7])).
% 31.98/5.15  cnf(c_0_21, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X2,X3))))|~is_a_theorem(equivalent(X4,equivalent(X5,X1)))|~is_a_theorem(X5)|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_20, c_0_5])).
% 31.98/5.15  cnf(c_0_22, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2)))|~is_a_theorem(equivalent(X3,equivalent(X4,X5)))|~is_a_theorem(X5)|~is_a_theorem(X4)|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_21])).
% 31.98/5.15  cnf(c_0_23, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2)))|~is_a_theorem(equivalent(X3,equivalent(X4,X5)))|~is_a_theorem(equivalent(X4,X6))|~is_a_theorem(X5)|~is_a_theorem(X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_7]), c_0_9])).
% 31.98/5.15  cnf(c_0_24, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2)))|~is_a_theorem(equivalent(X3,equivalent(equivalent(X4,equivalent(X5,X6)),X7)))|~is_a_theorem(X7)|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_23, c_0_5])).
% 31.98/5.15  cnf(c_0_25, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),X2)))|~is_a_theorem(equivalent(X1,equivalent(X3,X5)))), inference(spm,[status(thm)],[c_0_7, c_0_5])).
% 31.98/5.15  cnf(c_0_26, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2)))|~is_a_theorem(equivalent(X3,equivalent(X4,X5)))|~is_a_theorem(equivalent(X3,X6))|~is_a_theorem(X6)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 31.98/5.15  cnf(c_0_27, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))), inference(fof_simplification,[status(thm)],[prove_lg_2])).
% 31.98/5.15  cnf(c_0_28, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2)))|~is_a_theorem(equivalent(equivalent(X3,equivalent(X4,X5)),X6))|~is_a_theorem(X6)), inference(spm,[status(thm)],[c_0_26, c_0_5])).
% 31.98/5.15  cnf(c_0_29, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))), c_0_27).
% 31.98/5.15  cnf(c_0_30, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2)))|~is_a_theorem(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(X6,X5))))), inference(spm,[status(thm)],[c_0_28, c_0_5])).
% 31.98/5.15  cnf(c_0_31, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))|~is_a_theorem(equivalent(X2,equivalent(X1,a)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_29, c_0_8])).
% 31.98/5.15  cnf(c_0_32, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2)))), inference(spm,[status(thm)],[c_0_30, c_0_5])).
% 31.98/5.15  cnf(c_0_33, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))|~is_a_theorem(equivalent(X2,equivalent(X3,X4)))|~is_a_theorem(equivalent(X1,a))|~is_a_theorem(equivalent(X2,X5))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_31, c_0_26])).
% 31.98/5.15  cnf(c_0_34, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,equivalent(X3,X3)),X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_19, c_0_32])).
% 31.98/5.15  cnf(c_0_35, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))|~is_a_theorem(equivalent(equivalent(X2,equivalent(X3,X4)),X5))|~is_a_theorem(equivalent(X1,a))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_33, c_0_5])).
% 31.98/5.15  cnf(c_0_36, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_34, c_0_32])).
% 31.98/5.15  cnf(c_0_37, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))|~is_a_theorem(equivalent(X2,equivalent(equivalent(X3,X4),equivalent(X5,X4))))|~is_a_theorem(equivalent(X1,a))), inference(spm,[status(thm)],[c_0_35, c_0_5])).
% 31.98/5.15  cnf(c_0_38, plain, (is_a_theorem(equivalent(X1,X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_36])).
% 31.98/5.15  cnf(c_0_39, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))|~is_a_theorem(equivalent(X1,a))), inference(spm,[status(thm)],[c_0_37, c_0_5])).
% 31.98/5.15  cnf(c_0_40, plain, (is_a_theorem(equivalent(X1,X1))), inference(spm,[status(thm)],[c_0_38, c_0_5])).
% 31.98/5.15  cnf(c_0_41, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a))|~is_a_theorem(equivalent(X2,equivalent(X1,a)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_39, c_0_7])).
% 31.98/5.15  cnf(c_0_42, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X3,equivalent(X2,X1)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_8, c_0_40])).
% 31.98/5.15  cnf(c_0_43, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a))|~is_a_theorem(equivalent(X1,a))), inference(spm,[status(thm)],[c_0_41, c_0_32])).
% 31.98/5.15  cnf(c_0_44, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X2,X1))), inference(spm,[status(thm)],[c_0_42, c_0_40])).
% 31.98/5.15  cnf(c_0_45, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(X1,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))|~is_a_theorem(equivalent(X1,a))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
% 31.98/5.15  cnf(c_0_46, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(b,e),equivalent(c,e))),a))|~is_a_theorem(equivalent(a,equivalent(X1,equivalent(b,c))))), inference(spm,[status(thm)],[c_0_45, c_0_6])).
% 31.98/5.15  cnf(c_0_47, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(X1,equivalent(equivalent(b,e),equivalent(c,e)))))|~is_a_theorem(equivalent(a,equivalent(X1,equivalent(b,c))))), inference(spm,[status(thm)],[c_0_46, c_0_44])).
% 31.98/5.15  cnf(c_0_48, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X4),equivalent(X5,X4)))))|~is_a_theorem(equivalent(X6,equivalent(equivalent(X2,equivalent(X3,X5)),X1)))|~is_a_theorem(X6)), inference(spm,[status(thm)],[c_0_8, c_0_5])).
% 31.98/5.15  cnf(c_0_49, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))|~is_a_theorem(equivalent(X1,X3))), inference(spm,[status(thm)],[c_0_7, c_0_32])).
% 31.98/5.15  cnf(c_0_50, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(b,c)),a)))|~is_a_theorem(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_42])).
% 31.98/5.15  cnf(c_0_51, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))|~is_a_theorem(equivalent(X3,X1))), inference(spm,[status(thm)],[c_0_44, c_0_49])).
% 31.98/5.15  cnf(c_0_52, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(b,c)),X2))|~is_a_theorem(equivalent(X2,a))), inference(spm,[status(thm)],[c_0_50, c_0_51])).
% 31.98/5.15  cnf(c_0_53, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(b,X2),equivalent(c,X2))),a))), inference(spm,[status(thm)],[c_0_52, c_0_5])).
% 31.98/5.15  cnf(c_0_54, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X4))|~is_a_theorem(equivalent(X5,equivalent(X1,X3)))|~is_a_theorem(equivalent(X5,X4))), inference(spm,[status(thm)],[c_0_8, c_0_5])).
% 31.98/5.15  cnf(c_0_55, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(X2,equivalent(b,X3))))|~is_a_theorem(equivalent(X1,a))), inference(spm,[status(thm)],[c_0_53, c_0_54])).
% 31.98/5.15  cnf(c_0_56, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(b,X2)),X3))|~is_a_theorem(equivalent(X3,a))), inference(spm,[status(thm)],[c_0_55, c_0_44])).
% 31.98/5.15  cnf(c_0_57, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(b,X2),equivalent(X3,X2))),a))), inference(spm,[status(thm)],[c_0_56, c_0_5])).
% 31.98/5.15  cnf(c_0_58, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,X1))|~is_a_theorem(equivalent(X2,X3))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_9, c_0_40])).
% 31.98/5.15  cnf(c_0_59, plain, (is_a_theorem(equivalent(equivalent(X1,X1),X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_44, c_0_36])).
% 31.98/5.15  cnf(c_0_60, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(X1,equivalent(equivalent(b,X2),equivalent(X3,X2)))))), inference(spm,[status(thm)],[c_0_57, c_0_44])).
% 31.98/5.15  cnf(c_0_61, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X2),X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_58, c_0_59])).
% 31.98/5.15  cnf(c_0_62, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(b,X3)),a)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_60, c_0_48])).
% 31.98/5.15  cnf(c_0_63, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X2),X1))), inference(spm,[status(thm)],[c_0_61, c_0_5])).
% 31.98/5.15  cnf(c_0_64, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(b,X2)),a),X3))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_62, c_0_44])).
% 31.98/5.15  cnf(c_0_65, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))), inference(spm,[status(thm)],[c_0_63, c_0_5])).
% 31.98/5.15  cnf(c_0_66, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(b,X2)),X3),equivalent(a,X3)))), inference(spm,[status(thm)],[c_0_64, c_0_65])).
% 31.98/5.15  cnf(c_0_67, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,X1),equivalent(equivalent(X2,equivalent(b,X3)),X1)))), inference(spm,[status(thm)],[c_0_66, c_0_44])).
% 31.98/5.15  cnf(c_0_68, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,equivalent(X1,equivalent(b,X2))),equivalent(X3,X1)))), inference(spm,[status(thm)],[c_0_67, c_0_6])).
% 31.98/5.15  cnf(c_0_69, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,X2),equivalent(a,equivalent(X2,equivalent(b,X3)))))), inference(spm,[status(thm)],[c_0_68, c_0_44])).
% 31.98/5.15  cnf(c_0_70, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_69, c_0_5]), ['proof']).
% 31.98/5.15  % SZS output end Proof
% 31.98/5.15  % User time                : 4.448 s
% 31.98/5.15  % System time              : 0.106 s
% 31.98/5.15  % Total time               : 4.554 s
% 31.98/5.15  % User time                : 22.068 s
% 31.98/5.15  % System time              : 0.566 s
% 31.98/5.15  % Total time               : 22.634 s
% 31.98/5.15  
%------------------------------------------------------------------------------