%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL100-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n016.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 109.40s 16.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL100-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.10/0.35 % Computer : n016.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 06:55:44 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 109.40/16.45 % Version : CSI_E---1.1
% 109.40/16.45 % Problem : theBenchmark.p
% 109.40/16.45 % Proof found!
% 109.40/16.45 # SZS status Unsatisfiable
% 109.40/16.45 % SZS output start Proof
% 109.40/16.45 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)).
% 109.40/16.45 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/sandbox2/benchmark/theBenchmark.p', lg_2)).
% 109.40/16.45 cnf(p_1, axiom, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p_1)).
% 109.40/16.45 cnf(prove_lg_3, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),e),equivalent(equivalent(b,c),e)),falsehood),falsehood))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_lg_3)).
% 109.40/16.45 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])).
% 109.40/16.45 cnf(c_0_5, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_4).
% 109.40/16.45 cnf(c_0_6, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4),X4))), lg_2).
% 109.40/16.45 cnf(c_0_7, 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_6])).
% 109.40/16.45 cnf(c_0_8, axiom, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3))))), p_1).
% 109.40/16.45 cnf(c_0_9, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(equivalent(X2,X4),X1),equivalent(X4,X3))))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 109.40/16.45 cnf(c_0_10, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(X2,X4)))|~is_a_theorem(equivalent(X3,equivalent(X1,X4)))), inference(spm,[status(thm)],[c_0_5, c_0_9])).
% 109.40/16.45 cnf(c_0_11, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3)))), inference(spm,[status(thm)],[c_0_7, c_0_10])).
% 109.40/16.45 cnf(c_0_12, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)))), inference(spm,[status(thm)],[c_0_11, c_0_9])).
% 109.40/16.45 cnf(c_0_13, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),e),equivalent(equivalent(b,c),e)),falsehood),falsehood))), inference(fof_simplification,[status(thm)],[prove_lg_3])).
% 109.40/16.45 cnf(c_0_14, 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_8])).
% 109.40/16.45 cnf(c_0_15, 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_12])).
% 109.40/16.45 cnf(c_0_16, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),e),equivalent(equivalent(b,c),e)),falsehood),falsehood))), c_0_13).
% 109.40/16.45 cnf(c_0_17, 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_14])).
% 109.40/16.45 cnf(c_0_18, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(X3,X1),X4))|~is_a_theorem(equivalent(X4,equivalent(X3,X2)))), inference(spm,[status(thm)],[c_0_5, c_0_10])).
% 109.40/16.45 cnf(c_0_19, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X2),X1)))), inference(spm,[status(thm)],[c_0_15, c_0_8])).
% 109.40/16.45 cnf(c_0_20, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),e),equivalent(equivalent(b,c),e)),X1),falsehood))|~is_a_theorem(equivalent(falsehood,X1))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 109.40/16.45 cnf(c_0_21, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X3),X4))|~is_a_theorem(equivalent(X4,equivalent(X2,X1)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_5, c_0_18])).
% 109.40/16.45 cnf(c_0_22, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2)))), inference(spm,[status(thm)],[c_0_11, c_0_19])).
% 109.40/16.45 cnf(c_0_23, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),e),equivalent(equivalent(b,c),e)),equivalent(equivalent(X1,X1),falsehood)),falsehood))), inference(spm,[status(thm)],[c_0_20, c_0_19])).
% 109.40/16.45 cnf(c_0_24, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X4,X2),X1)))|~is_a_theorem(equivalent(X4,X3))), inference(spm,[status(thm)],[c_0_21, c_0_12])).
% 109.40/16.45 cnf(c_0_25, plain, (is_a_theorem(equivalent(X1,X1))), inference(spm,[status(thm)],[c_0_15, c_0_22])).
% 109.40/16.45 cnf(c_0_26, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X5))))|~is_a_theorem(equivalent(X3,X5))), inference(spm,[status(thm)],[c_0_17, c_0_8])).
% 109.40/16.45 cnf(c_0_27, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),e),equivalent(equivalent(b,c),e)),X1),falsehood))|~is_a_theorem(equivalent(equivalent(equivalent(X2,X2),falsehood),X1))), inference(spm,[status(thm)],[c_0_23, c_0_17])).
% 109.40/16.45 cnf(c_0_28, 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_7, c_0_14])).
% 109.40/16.45 cnf(c_0_29, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1)))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 109.40/16.45 cnf(c_0_30, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X2),X3)))|~is_a_theorem(equivalent(X1,X3))), inference(spm,[status(thm)],[c_0_15, c_0_26])).
% 109.40/16.45 cnf(c_0_31, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),e),equivalent(equivalent(b,c),e)),equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),falsehood))),falsehood))), inference(spm,[status(thm)],[c_0_27, c_0_8])).
% 109.40/16.45 cnf(c_0_32, 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_15, c_0_28])).
% 109.40/16.45 cnf(c_0_33, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X2),X1))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 109.40/16.45 cnf(c_0_34, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(equivalent(b,c),e),equivalent(equivalent(e,equivalent(equivalent(a,b),equivalent(a,c))),falsehood))),equivalent(X1,falsehood)))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 109.40/16.45 cnf(c_0_35, plain, (is_a_theorem(equivalent(equivalent(X1,X1),X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_5, c_0_19])).
% 109.40/16.45 cnf(c_0_36, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(equivalent(X3,X3),X1),X2))), inference(spm,[status(thm)],[c_0_15, c_0_30])).
% 109.40/16.45 cnf(c_0_37, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X3,X2))))), inference(spm,[status(thm)],[c_0_33, c_0_8])).
% 109.40/16.45 cnf(c_0_38, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),e),equivalent(equivalent(e,equivalent(equivalent(a,b),equivalent(a,c))),falsehood)),falsehood))), inference(spm,[status(thm)],[c_0_34, c_0_35])).
% 109.40/16.45 cnf(c_0_39, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),X4)),X5))|~is_a_theorem(equivalent(equivalent(X1,equivalent(X3,X6)),X5))|~is_a_theorem(equivalent(X4,equivalent(X2,X6)))), inference(spm,[status(thm)],[c_0_17, c_0_10])).
% 109.40/16.45 cnf(c_0_40, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X3)),equivalent(X2,X1))))), inference(spm,[status(thm)],[c_0_36, c_0_37])).
% 109.40/16.45 cnf(c_0_41, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),e),equivalent(equivalent(equivalent(a,b),equivalent(a,c)),X1)),falsehood))|~is_a_theorem(equivalent(falsehood,equivalent(e,X1)))), inference(spm,[status(thm)],[c_0_38, c_0_39])).
% 109.40/16.45 cnf(c_0_42, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(X2,equivalent(X3,X3)),X1))))), inference(spm,[status(thm)],[c_0_15, c_0_40])).
% 109.40/16.45 cnf(c_0_43, 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_7, c_0_17])).
% 109.40/16.45 cnf(c_0_44, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),e),equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(equivalent(e,equivalent(X1,X1)),falsehood))),falsehood))), inference(spm,[status(thm)],[c_0_41, c_0_42])).
% 109.40/16.45 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(X6,X4),equivalent(equivalent(X3,X6),X5))),X1))), inference(spm,[status(thm)],[c_0_43, c_0_8])).
% 109.40/16.45 cnf(c_0_46, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),e),equivalent(equivalent(a,c),X1)),falsehood))|~is_a_theorem(equivalent(equivalent(equivalent(e,equivalent(X2,X2)),falsehood),equivalent(equivalent(a,b),X1)))), inference(spm,[status(thm)],[c_0_44, c_0_39])).
% 109.40/16.45 cnf(c_0_47, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1))))), inference(spm,[status(thm)],[c_0_36, c_0_8])).
% 109.40/16.45 cnf(c_0_48, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X4))),X5))|~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X3,X6),X2),equivalent(X6,X4))),X5))), inference(spm,[status(thm)],[c_0_17, c_0_9])).
% 109.40/16.45 cnf(c_0_49, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X5)),X6))|~is_a_theorem(equivalent(equivalent(X1,X5),X6))), inference(spm,[status(thm)],[c_0_17, c_0_6])).
% 109.40/16.45 cnf(c_0_50, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(equivalent(X4,X5),equivalent(equivalent(X6,X4),X2)),equivalent(equivalent(X1,equivalent(X6,X5)),X3)))), inference(spm,[status(thm)],[c_0_45, c_0_10])).
% 109.40/16.45 cnf(c_0_51, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),e),equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(equivalent(e,equivalent(X1,X1)),falsehood)))),falsehood))), inference(spm,[status(thm)],[c_0_46, c_0_47])).
% 109.40/16.45 cnf(c_0_52, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X4,X2),X5))),X6))|~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X4,X3),X5)),X6))), inference(spm,[status(thm)],[c_0_48, c_0_49])).
% 109.40/16.45 cnf(c_0_53, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X3)))|~is_a_theorem(equivalent(X2,X3))), inference(spm,[status(thm)],[c_0_17, c_0_25])).
% 109.40/16.45 cnf(c_0_54, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X2),X2))), inference(spm,[status(thm)],[c_0_50, c_0_6])).
% 109.40/16.45 cnf(c_0_55, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),e),equivalent(equivalent(b,c),equivalent(equivalent(e,equivalent(X1,X1)),falsehood))),falsehood))), inference(spm,[status(thm)],[c_0_51, c_0_52])).
% 109.40/16.45 cnf(c_0_56, 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_7, c_0_53])).
% 109.40/16.45 cnf(c_0_57, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X2)),X3)),X3))), inference(spm,[status(thm)],[c_0_11, c_0_54])).
% 109.40/16.45 cnf(c_0_58, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_57])]), ['proof']).
% 109.40/16.45 % SZS output end Proof
% 109.40/16.45 % User time : 14.971 s
% 109.40/16.45 % System time : 0.460 s
% 109.40/16.45 % Total time : 15.431 s
% 109.40/16.45 % User time : 76.357 s
% 109.40/16.45 % System time : 1.034 s
% 109.40/16.45 % Total time : 77.391 s
% 109.40/16.45
%------------------------------------------------------------------------------