%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL124-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n003.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 11:20:22 AM UTC 2026
% Result : Unsatisfiable 1.69s 0.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL124-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n003.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Fri Sep 4 14:13:04 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.13/0.46 start to proof:theBenchmark.p
% 1.69/0.72 % Version : CSI_E---1.1
% 1.69/0.72 % Problem : theBenchmark.p
% 1.69/0.72 % Proof found!
% 1.69/0.72 # SZS status Unsatisfiable
% 1.69/0.72 % SZS output start Proof
% 1.69/0.72 cnf(condensed_detachment, axiom, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', condensed_detachment)).
% 1.69/0.72 cnf(lg_2, axiom, (is_a_theorem(equivalent(X1,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lg_2)).
% 1.69/0.72 cnf(prove_lg_5, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_lg_5)).
% 1.69/0.72 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])).
% 1.69/0.72 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 1.69/0.72 cnf(c_0_5, axiom, (is_a_theorem(equivalent(X1,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4))))))), lg_2).
% 1.69/0.72 cnf(c_0_6, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 1.69/0.72 cnf(c_0_7, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_6])).
% 1.69/0.72 cnf(c_0_8, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f))))), inference(fof_simplification,[status(thm)],[prove_lg_5])).
% 1.69/0.72 cnf(c_0_9, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))|~is_a_theorem(equivalent(X1,X3))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_7])).
% 1.69/0.72 cnf(c_0_10, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f))))), c_0_8).
% 1.69/0.72 cnf(c_0_11, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X3,X2))|~is_a_theorem(equivalent(X3,X1))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_9])).
% 1.69/0.72 cnf(c_0_12, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f))))|~is_a_theorem(equivalent(X1,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 1.69/0.72 cnf(c_0_13, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f))))|~is_a_theorem(equivalent(X1,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))), inference(spm,[status(thm)],[c_0_12, c_0_5])).
% 1.69/0.72 cnf(c_0_14, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(b,equivalent(f,e)),f)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))|~is_a_theorem(equivalent(X1,equivalent(a,equivalent(f,c))))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_13, c_0_9])).
% 1.69/0.72 cnf(c_0_15, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(b,equivalent(f,e)),f)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))|~is_a_theorem(equivalent(X1,equivalent(a,equivalent(f,c))))), inference(spm,[status(thm)],[c_0_14, c_0_5])).
% 1.69/0.72 cnf(c_0_16, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))|~is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(b,equivalent(f,e)),f))))|~is_a_theorem(equivalent(X2,equivalent(a,equivalent(f,c))))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_15, c_0_11])).
% 1.69/0.72 cnf(c_0_17, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))|~is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(b,equivalent(f,e)),f))))|~is_a_theorem(equivalent(X2,equivalent(a,equivalent(f,c))))), inference(spm,[status(thm)],[c_0_16, c_0_5])).
% 1.69/0.72 cnf(c_0_18, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))|~is_a_theorem(equivalent(X1,X3))), inference(spm,[status(thm)],[c_0_9, c_0_5])).
% 1.69/0.72 cnf(c_0_19, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(b,equivalent(f,e)),f)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))|~is_a_theorem(equivalent(X2,equivalent(a,equivalent(f,c))))|~is_a_theorem(equivalent(X1,X2))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 1.69/0.72 cnf(c_0_20, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(b,equivalent(f,e)),f)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))|~is_a_theorem(equivalent(X1,equivalent(X2,equivalent(f,c))))|~is_a_theorem(equivalent(X2,a))), inference(spm,[status(thm)],[c_0_19, c_0_18])).
% 1.69/0.72 cnf(c_0_21, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,f),equivalent(equivalent(b,equivalent(f,e)),f)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))|~is_a_theorem(equivalent(equivalent(X1,c),a))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_20, c_0_7])).
% 1.69/0.72 cnf(c_0_22, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,f),equivalent(equivalent(b,equivalent(f,e)),f)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))|~is_a_theorem(equivalent(equivalent(X1,c),a))), inference(spm,[status(thm)],[c_0_21, c_0_5])).
% 1.69/0.72 cnf(c_0_23, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(X2,f),equivalent(equivalent(b,equivalent(f,e)),f))))|~is_a_theorem(equivalent(X1,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))|~is_a_theorem(equivalent(equivalent(X2,c),a))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_22, c_0_11])).
% 1.69/0.72 cnf(c_0_24, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))), inference(spm,[status(thm)],[c_0_7, c_0_5])).
% 1.69/0.72 cnf(c_0_25, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(b,equivalent(f,e))),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))|~is_a_theorem(equivalent(equivalent(X1,c),a))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 1.69/0.72 cnf(c_0_26, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(b,equivalent(f,e))),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))|~is_a_theorem(equivalent(equivalent(X1,c),a))), inference(spm,[status(thm)],[c_0_25, c_0_24])).
% 1.69/0.72 cnf(c_0_27, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X3,X2))|~is_a_theorem(equivalent(X3,X1))), inference(spm,[status(thm)],[c_0_11, c_0_5])).
% 1.69/0.72 cnf(c_0_28, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))|~is_a_theorem(equivalent(X1,equivalent(X2,equivalent(b,equivalent(f,e)))))|~is_a_theorem(equivalent(equivalent(X2,c),a))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 1.69/0.72 cnf(c_0_29, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(X2,equivalent(b,equivalent(f,e)))))|~is_a_theorem(equivalent(equivalent(X2,c),a))|~is_a_theorem(equivalent(X1,a))), inference(spm,[status(thm)],[c_0_28, c_0_18])).
% 1.69/0.72 cnf(c_0_30, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),X4))|~is_a_theorem(equivalent(equivalent(X1,X3),X4))), inference(spm,[status(thm)],[c_0_27, c_0_24])).
% 1.69/0.72 cnf(c_0_31, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,b),equivalent(X2,equivalent(b,equivalent(f,e)))))|~is_a_theorem(equivalent(equivalent(X1,equivalent(c,equivalent(e,f))),a))|~is_a_theorem(equivalent(equivalent(X2,c),a))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 1.69/0.72 cnf(c_0_32, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(c,equivalent(e,f))),a))|~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(f,e)),c),a))), inference(spm,[status(thm)],[c_0_31, c_0_24])).
% 1.69/0.72 cnf(c_0_33, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(c,equivalent(e,f))),a))|~is_a_theorem(equivalent(X2,equivalent(equivalent(X1,equivalent(f,e)),c)))|~is_a_theorem(equivalent(X2,a))), inference(spm,[status(thm)],[c_0_32, c_0_27])).
% 1.69/0.72 cnf(c_0_34, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,equivalent(e,f)),equivalent(f,e)),c)))|~is_a_theorem(equivalent(equivalent(X2,c),a))|~is_a_theorem(equivalent(X1,a))), inference(spm,[status(thm)],[c_0_33, c_0_30])).
% 1.69/0.72 cnf(c_0_35, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(e,f)),equivalent(f,e))))|~is_a_theorem(equivalent(equivalent(X2,c),a))|~is_a_theorem(equivalent(equivalent(X1,c),a))), inference(spm,[status(thm)],[c_0_34, c_0_18])).
% 1.69/0.72 cnf(c_0_36, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(f,e)),c),a))|~is_a_theorem(equivalent(X1,equivalent(X2,equivalent(e,f))))|~is_a_theorem(equivalent(equivalent(X2,c),a))), inference(spm,[status(thm)],[c_0_35, c_0_18])).
% 1.69/0.72 cnf(c_0_37, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,e),equivalent(f,e)),c),a))|~is_a_theorem(equivalent(equivalent(equivalent(X1,f),c),a))), inference(spm,[status(thm)],[c_0_36, c_0_24])).
% 1.69/0.72 cnf(c_0_38, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,e),equivalent(f,e)),c)))|~is_a_theorem(equivalent(equivalent(equivalent(X2,f),c),a))|~is_a_theorem(equivalent(X1,a))), inference(spm,[status(thm)],[c_0_37, c_0_27])).
% 1.69/0.72 cnf(c_0_39, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(X2,e),equivalent(f,e))))|~is_a_theorem(equivalent(equivalent(equivalent(X2,f),c),a))|~is_a_theorem(equivalent(equivalent(X1,c),a))), inference(spm,[status(thm)],[c_0_38, c_0_18])).
% 1.69/0.72 cnf(c_0_40, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,f),c),a))), inference(spm,[status(thm)],[c_0_39, c_0_24])).
% 1.69/0.72 cnf(c_0_41, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(X2,f),c)))|~is_a_theorem(equivalent(X1,a))), inference(spm,[status(thm)],[c_0_40, c_0_27])).
% 1.69/0.72 cnf(c_0_42, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(X2,f),c)))|~is_a_theorem(equivalent(X3,a))|~is_a_theorem(equivalent(X1,X3))), inference(spm,[status(thm)],[c_0_41, c_0_27])).
% 1.69/0.72 cnf(c_0_43, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,c),X2))|~is_a_theorem(equivalent(X1,equivalent(X3,f)))|~is_a_theorem(equivalent(X2,a))), inference(spm,[status(thm)],[c_0_42, c_0_18])).
% 1.69/0.72 cnf(c_0_44, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,f),c),X2))|~is_a_theorem(equivalent(X2,a))|~is_a_theorem(equivalent(X1,X3))), inference(spm,[status(thm)],[c_0_43, c_0_18])).
% 1.69/0.72 cnf(c_0_45, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,f),c),X2))|~is_a_theorem(equivalent(X2,a))), inference(spm,[status(thm)],[c_0_44, c_0_5])).
% 1.69/0.72 cnf(c_0_46, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,f),X2),equivalent(c,X2)),a))), inference(spm,[status(thm)],[c_0_45, c_0_24])).
% 1.69/0.72 cnf(c_0_47, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,f),X3),equivalent(c,X3))))|~is_a_theorem(equivalent(X1,a))), inference(spm,[status(thm)],[c_0_46, c_0_27])).
% 1.69/0.72 cnf(c_0_48, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(c,X2)),a))|~is_a_theorem(equivalent(X1,equivalent(equivalent(X3,f),X2)))), inference(spm,[status(thm)],[c_0_47, c_0_18])).
% 1.69/0.72 cnf(c_0_49, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(c,equivalent(X2,f))),a))), inference(spm,[status(thm)],[c_0_48, c_0_24])).
% 1.69/0.72 cnf(c_0_50, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(c,equivalent(X3,f)))))|~is_a_theorem(equivalent(X1,a))), inference(spm,[status(thm)],[c_0_49, c_0_27])).
% 1.69/0.72 cnf(c_0_51, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(c,equivalent(X2,f))),a))|~is_a_theorem(equivalent(X1,equivalent(X3,X2)))), inference(spm,[status(thm)],[c_0_50, c_0_18])).
% 1.69/0.72 cnf(c_0_52, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(X2,f)),equivalent(X3,X2)))|~is_a_theorem(equivalent(equivalent(X1,c),a))), inference(spm,[status(thm)],[c_0_51, c_0_30])).
% 1.69/0.72 cnf(c_0_53, 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_4, c_0_27])).
% 1.69/0.72 cnf(c_0_54, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,c),a))), inference(spm,[status(thm)],[c_0_52, c_0_5])).
% 1.69/0.72 cnf(c_0_55, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(X3,X2),X4))|~is_a_theorem(equivalent(X3,X1))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_53, c_0_18])).
% 1.69/0.72 cnf(c_0_56, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,a),X2))|~is_a_theorem(equivalent(X1,equivalent(X3,c)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_54, c_0_55])).
% 1.69/0.72 cnf(c_0_57, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,c),a),X2))|~is_a_theorem(equivalent(X1,X3))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_56, c_0_18])).
% 1.69/0.72 cnf(c_0_58, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,c),a),X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_57, c_0_5])).
% 1.69/0.72 cnf(c_0_59, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,c),X2),equivalent(a,X2)))), inference(spm,[status(thm)],[c_0_58, c_0_24])).
% 1.69/0.72 cnf(c_0_60, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,X2),equivalent(a,equivalent(X2,c))))), inference(spm,[status(thm)],[c_0_59, c_0_30])).
% 1.69/0.72 cnf(c_0_61, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(equivalent(X4,X3),X1))|~is_a_theorem(equivalent(X4,X2))), inference(spm,[status(thm)],[c_0_27, c_0_18])).
% 1.69/0.72 cnf(c_0_62, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(X2,c)),equivalent(X3,X2)))|~is_a_theorem(equivalent(X1,a))), inference(spm,[status(thm)],[c_0_60, c_0_61])).
% 1.69/0.72 cnf(c_0_63, negated_conjecture, (~is_a_theorem(equivalent(X1,a))), inference(spm,[status(thm)],[c_0_62, c_0_5])).
% 1.69/0.72 cnf(c_0_64, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,a),X2))|~is_a_theorem(equivalent(X1,X3))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_63, c_0_55])).
% 1.69/0.72 cnf(c_0_65, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,a),X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_64, c_0_5])).
% 1.69/0.72 cnf(c_0_66, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,X2),equivalent(a,X2)))), inference(spm,[status(thm)],[c_0_65, c_0_24])).
% 1.69/0.72 cnf(c_0_67, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,X2),equivalent(a,equivalent(X2,X3))))), inference(spm,[status(thm)],[c_0_66, c_0_30])).
% 1.69/0.72 cnf(c_0_68, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X3,X5),equivalent(X4,X5))))))|~is_a_theorem(equivalent(X2,X1))), inference(spm,[status(thm)],[c_0_27, c_0_5])).
% 1.69/0.72 cnf(c_0_69, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(X1,equivalent(X2,X3))))), inference(spm,[status(thm)],[c_0_67, c_0_68])).
% 1.69/0.72 cnf(c_0_70, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_69, c_0_5]), ['proof']).
% 1.69/0.72 % SZS output end Proof
% 1.69/0.72 % User time : 0.139 s
% 1.69/0.72 % System time : 0.006 s
% 1.69/0.72 % Total time : 0.145 s
% 1.69/0.72 % User time : 0.830 s
% 1.69/0.72 % System time : 0.034 s
% 1.69/0.72 % Total time : 0.864 s
% 1.69/0.72
%------------------------------------------------------------------------------