%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL099-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n031.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 11:20:19 AM UTC 2026
% Result : Unsatisfiable 154.14s 23.16s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL099-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.34 % Computer : n031.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 : Sat Sep 5 07:27:54 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.12/0.44 start to proof:theBenchmark.p
% 154.14/23.16 % Version : CSI_E---1.1
% 154.14/23.16 % Problem : theBenchmark.p
% 154.14/23.16 % Proof found!
% 154.14/23.16 # SZS status Unsatisfiable
% 154.14/23.16 % SZS output start Proof
% 154.14/23.16 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)).
% 154.14/23.16 cnf(lg_3, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X5),X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lg_3)).
% 154.14/23.16 cnf(lg_2, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4),X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lg_2)).
% 154.14/23.16 cnf(prove_lg_5, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),c)),equivalent(equivalent(e,a),falsehood)),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_lg_5)).
% 154.14/23.16 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 154.14/23.16 cnf(c_0_5, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_4).
% 154.14/23.16 cnf(c_0_6, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X5),X5))), lg_3).
% 154.14/23.16 cnf(c_0_7, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4),X4))), lg_2).
% 154.14/23.16 cnf(c_0_8, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),equivalent(equivalent(X3,X4),X5)),X1))), inference(spm,[status(thm)],[c_0_5, c_0_6])).
% 154.14/23.16 cnf(c_0_9, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X1))), inference(spm,[status(thm)],[c_0_5, c_0_7])).
% 154.14/23.16 cnf(c_0_10, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2)))), inference(spm,[status(thm)],[c_0_8, c_0_7])).
% 154.14/23.16 cnf(c_0_11, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)))), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 154.14/23.16 cnf(c_0_12, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X3,X2)))), inference(spm,[status(thm)],[c_0_5, c_0_11])).
% 154.14/23.16 cnf(c_0_13, plain, (is_a_theorem(equivalent(X1,X1))), inference(spm,[status(thm)],[c_0_12, c_0_10])).
% 154.14/23.16 cnf(c_0_14, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3))))), inference(spm,[status(thm)],[c_0_8, c_0_6])).
% 154.14/23.16 cnf(c_0_15, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)))), inference(spm,[status(thm)],[c_0_8, c_0_13])).
% 154.14/23.16 cnf(c_0_16, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),X4)))|~is_a_theorem(equivalent(equivalent(X3,X2),X4))), inference(spm,[status(thm)],[c_0_5, c_0_14])).
% 154.14/23.16 cnf(c_0_17, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),c)),equivalent(equivalent(e,a),falsehood)),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood)))), inference(fof_simplification,[status(thm)],[prove_lg_5])).
% 154.14/23.16 cnf(c_0_18, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(equivalent(X4,X1),equivalent(X4,X2)),X3))), inference(spm,[status(thm)],[c_0_5, c_0_15])).
% 154.14/23.16 cnf(c_0_19, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(X1,X4),X3))|~is_a_theorem(equivalent(X2,X4))), inference(spm,[status(thm)],[c_0_5, c_0_16])).
% 154.14/23.16 cnf(c_0_20, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),c)),equivalent(equivalent(e,a),falsehood)),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood)))), c_0_17).
% 154.14/23.16 cnf(c_0_21, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(equivalent(X4,X1),X5),X3))|~is_a_theorem(equivalent(equivalent(X4,X2),X5))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 154.14/23.16 cnf(c_0_22, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(a,equivalent(equivalent(b,a),c))),X2),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood)))|~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(e,a),falsehood)),X2))), inference(spm,[status(thm)],[c_0_20, c_0_21])).
% 154.14/23.16 cnf(c_0_23, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X3)))|~is_a_theorem(equivalent(X2,X3))), inference(spm,[status(thm)],[c_0_19, c_0_13])).
% 154.14/23.16 cnf(c_0_24, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(a,equivalent(equivalent(b,a),c))),equivalent(X1,equivalent(equivalent(e,a),falsehood))),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood)))), inference(spm,[status(thm)],[c_0_22, c_0_13])).
% 154.14/23.16 cnf(c_0_25, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),X5))|~is_a_theorem(equivalent(equivalent(equivalent(X2,X3),X4),X5))), inference(spm,[status(thm)],[c_0_8, c_0_23])).
% 154.14/23.16 cnf(c_0_26, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(b,a),c)),equivalent(equivalent(a,X1),equivalent(equivalent(e,a),falsehood))),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood)))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 154.14/23.16 cnf(c_0_27, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X5)))|~is_a_theorem(equivalent(X4,X5))), inference(spm,[status(thm)],[c_0_19, c_0_15])).
% 154.14/23.16 cnf(c_0_28, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),equivalent(equivalent(a,b),e))),equivalent(equivalent(e,a),falsehood)),falsehood))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 154.14/23.16 cnf(c_0_29, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X2),X1)))), inference(spm,[status(thm)],[c_0_12, c_0_14])).
% 154.14/23.16 cnf(c_0_30, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(a,equivalent(equivalent(b,a),equivalent(equivalent(a,b),e)))),X2),falsehood))|~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(e,a),falsehood)),X2))), inference(spm,[status(thm)],[c_0_28, c_0_21])).
% 154.14/23.16 cnf(c_0_31, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X3),equivalent(equivalent(X4,X1),equivalent(X4,X2)))))), inference(spm,[status(thm)],[c_0_18, c_0_29])).
% 154.14/23.16 cnf(c_0_32, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(a,equivalent(equivalent(b,a),equivalent(equivalent(a,b),e)))),equivalent(X1,equivalent(equivalent(e,a),falsehood))),falsehood))), inference(spm,[status(thm)],[c_0_30, c_0_13])).
% 154.14/23.16 cnf(c_0_33, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4),X5))|~is_a_theorem(equivalent(X4,X5))), inference(spm,[status(thm)],[c_0_19, c_0_7])).
% 154.14/23.16 cnf(c_0_34, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X2,X4))),X5))|~is_a_theorem(equivalent(equivalent(X1,equivalent(X3,X4)),X5))), inference(spm,[status(thm)],[c_0_9, c_0_16])).
% 154.14/23.16 cnf(c_0_35, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X3)),equivalent(X2,X1))))), inference(spm,[status(thm)],[c_0_12, c_0_31])).
% 154.14/23.16 cnf(c_0_36, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,a),equivalent(X1,equivalent(equivalent(b,a),equivalent(equivalent(a,b),e)))),equivalent(equivalent(e,a),falsehood)),falsehood))), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 154.14/23.16 cnf(c_0_37, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4))|~is_a_theorem(equivalent(equivalent(X5,equivalent(X2,X3)),equivalent(X5,X4)))), inference(spm,[status(thm)],[c_0_12, c_0_34])).
% 154.14/23.16 cnf(c_0_38, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),equivalent(X1,X3)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_5, c_0_35])).
% 154.14/23.16 cnf(c_0_39, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(e,equivalent(equivalent(b,a),equivalent(equivalent(a,b),e))),falsehood)),equivalent(X1,falsehood)))), inference(spm,[status(thm)],[c_0_36, c_0_37])).
% 154.14/23.16 cnf(c_0_40, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_8, c_0_38])).
% 154.14/23.16 cnf(c_0_41, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(e,equivalent(equivalent(b,a),equivalent(equivalent(a,b),e)))),equivalent(X1,falsehood)),falsehood))), inference(spm,[status(thm)],[c_0_39, c_0_40])).
% 154.14/23.16 cnf(c_0_42, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),X1))|~is_a_theorem(equivalent(equivalent(X3,X4),X5))), inference(spm,[status(thm)],[c_0_9, c_0_19])).
% 154.14/23.16 cnf(c_0_43, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X4,X1),equivalent(X4,X2)),X3)))), inference(spm,[status(thm)],[c_0_18, c_0_7])).
% 154.14/23.16 cnf(c_0_44, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(b,a),equivalent(equivalent(a,b),e))),equivalent(equivalent(e,X1),falsehood)),falsehood))), inference(spm,[status(thm)],[c_0_41, c_0_25])).
% 154.14/23.16 cnf(c_0_45, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,equivalent(X3,X4)),equivalent(X2,X5)),equivalent(equivalent(equivalent(X6,X3),equivalent(X6,X4)),X5)),X1))), inference(spm,[status(thm)],[c_0_42, c_0_43])).
% 154.14/23.16 cnf(c_0_46, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(a,b),e)),equivalent(equivalent(e,equivalent(equivalent(b,a),X1)),falsehood)),falsehood))), inference(spm,[status(thm)],[c_0_44, c_0_25])).
% 154.14/23.16 cnf(c_0_47, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X2),X2))), inference(spm,[status(thm)],[c_0_45, c_0_11])).
% 154.14/23.16 cnf(c_0_48, plain, (is_a_theorem(equivalent(equivalent(X1,X1),X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_5, c_0_29])).
% 154.14/23.16 cnf(c_0_49, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X3)),X1))), inference(spm,[status(thm)],[c_0_8, c_0_33])).
% 154.14/23.16 cnf(c_0_50, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4))|~is_a_theorem(equivalent(equivalent(X2,X3),X4))), inference(spm,[status(thm)],[c_0_9, c_0_23])).
% 154.14/23.16 cnf(c_0_51, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(a,b),e)),X2),falsehood))|~is_a_theorem(equivalent(equivalent(equivalent(e,equivalent(equivalent(b,a),X1)),falsehood),X2))), inference(spm,[status(thm)],[c_0_46, c_0_19])).
% 154.14/23.16 cnf(c_0_52, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4))|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X5,X1),equivalent(X5,X2)),X3),X4))), inference(spm,[status(thm)],[c_0_21, c_0_7])).
% 154.14/23.16 cnf(c_0_53, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X2)),equivalent(X1,X3)),X3))), inference(spm,[status(thm)],[c_0_37, c_0_47])).
% 154.14/23.16 cnf(c_0_54, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(X2,X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_19, c_0_48])).
% 154.14/23.16 cnf(c_0_55, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X2),X1))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
% 154.14/23.16 cnf(c_0_56, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(e,equivalent(equivalent(b,a),X1)),falsehood),equivalent(X1,X2)))|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),e),X2),falsehood))), inference(spm,[status(thm)],[c_0_51, c_0_50])).
% 154.14/23.16 cnf(c_0_57, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3)),X3))), inference(spm,[status(thm)],[c_0_52, c_0_53])).
% 154.14/23.16 cnf(c_0_58, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X1,X3))|~is_a_theorem(equivalent(X3,X2))), inference(spm,[status(thm)],[c_0_12, c_0_54])).
% 154.14/23.16 cnf(c_0_59, plain, (is_a_theorem(equivalent(equivalent(X1,X1),equivalent(X2,X2)))), inference(spm,[status(thm)],[c_0_55, c_0_29])).
% 154.14/23.16 cnf(c_0_60, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(X3,X4),equivalent(X3,X2)))|~is_a_theorem(equivalent(X1,X4))), inference(spm,[status(thm)],[c_0_12, c_0_19])).
% 154.14/23.16 cnf(c_0_61, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(e,equivalent(equivalent(b,a),X1)),falsehood),equivalent(X1,equivalent(equivalent(e,equivalent(a,b)),falsehood))))), inference(spm,[status(thm)],[c_0_56, c_0_57])).
% 154.14/23.16 cnf(c_0_62, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X2)))|~is_a_theorem(equivalent(X1,equivalent(X3,X3)))), inference(spm,[status(thm)],[c_0_58, c_0_59])).
% 154.14/23.16 cnf(c_0_63, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X2),X3)))|~is_a_theorem(equivalent(X1,X3))), inference(spm,[status(thm)],[c_0_60, c_0_29])).
% 154.14/23.16 cnf(c_0_64, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(e,equivalent(equivalent(b,a),equivalent(equivalent(e,equivalent(a,b)),falsehood))),falsehood),equivalent(X1,X1)))), inference(spm,[status(thm)],[c_0_61, c_0_62])).
% 154.14/23.16 cnf(c_0_65, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),X5)))|~is_a_theorem(equivalent(equivalent(equivalent(X1,X4),X3),X5))), inference(spm,[status(thm)],[c_0_21, c_0_15])).
% 154.14/23.16 cnf(c_0_66, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(equivalent(X3,X3),X1),X2))), inference(spm,[status(thm)],[c_0_12, c_0_63])).
% 154.14/23.16 cnf(c_0_67, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(e,X1),falsehood),equivalent(X1,equivalent(equivalent(b,a),equivalent(equivalent(e,equivalent(a,b)),falsehood)))))), inference(spm,[status(thm)],[c_0_64, c_0_65])).
% 154.14/23.16 cnf(c_0_68, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1))))), inference(spm,[status(thm)],[c_0_66, c_0_14])).
% 154.14/23.16 cnf(c_0_69, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_67, c_0_68]), ['proof']).
% 154.14/23.16 % SZS output end Proof
% 154.14/23.16 % User time : 21.361 s
% 154.14/23.16 % System time : 0.660 s
% 154.14/23.16 % Total time : 22.020 s
% 154.14/23.16 % User time : 21.363 s
% 154.14/23.16 % System time : 0.663 s
% 154.14/23.16 % Total time : 22.027 s
% 154.14/23.16
%------------------------------------------------------------------------------