%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL129-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n007.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 27.17s 4.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL129-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n007.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 16:42:24 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 27.17/4.43 % Version : CSI_E---1.1
% 27.17/4.43 % Problem : theBenchmark.p
% 27.17/4.43 % Proof found!
% 27.17/4.43 # SZS status Unsatisfiable
% 27.17/4.43 % SZS output start Proof
% 27.17/4.43 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)).
% 27.17/4.43 cnf(s_4, axiom, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X1,equivalent(X4,X3)),equivalent(X2,X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s_4)).
% 27.17/4.43 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)).
% 27.17/4.43 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])).
% 27.17/4.43 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 27.17/4.43 cnf(c_0_5, axiom, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X1,equivalent(X4,X3)),equivalent(X2,X4))))), s_4).
% 27.17/4.43 cnf(c_0_6, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X4,X2)))|~is_a_theorem(equivalent(X1,equivalent(X4,X3)))), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 27.17/4.43 cnf(c_0_7, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X3,equivalent(X2,X4)))|~is_a_theorem(equivalent(X3,equivalent(X1,X4)))), inference(spm,[status(thm)],[c_0_4, c_0_6])).
% 27.17/4.43 cnf(c_0_8, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(X1,X3)))|~is_a_theorem(equivalent(X2,equivalent(X4,X3)))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_7])).
% 27.17/4.43 cnf(c_0_9, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),X4))|~is_a_theorem(equivalent(equivalent(X1,equivalent(X5,X3)),equivalent(X4,equivalent(X5,X2))))), inference(spm,[status(thm)],[c_0_7, c_0_5])).
% 27.17/4.43 cnf(c_0_10, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(equivalent(X1,equivalent(X4,X3)),equivalent(X5,equivalent(X4,X2))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_8, c_0_5])).
% 27.17/4.43 cnf(c_0_11, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(X2,X3))))), inference(spm,[status(thm)],[c_0_9, c_0_5])).
% 27.17/4.43 cnf(c_0_12, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 27.17/4.43 cnf(c_0_13, plain, (is_a_theorem(equivalent(X1,X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_12])).
% 27.17/4.43 cnf(c_0_14, plain, (is_a_theorem(equivalent(X1,X1))), inference(spm,[status(thm)],[c_0_13, c_0_5])).
% 27.17/4.43 cnf(c_0_15, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(X1,X3)))|~is_a_theorem(X3)|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_8, c_0_12])).
% 27.17/4.43 cnf(c_0_16, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X1))), inference(spm,[status(thm)],[c_0_9, c_0_14])).
% 27.17/4.43 cnf(c_0_17, 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_7, c_0_12])).
% 27.17/4.43 cnf(c_0_18, 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])).
% 27.17/4.43 cnf(c_0_19, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X3,equivalent(equivalent(X1,X4),X5)))|~is_a_theorem(equivalent(X6,equivalent(X2,X4)))|~is_a_theorem(equivalent(X3,equivalent(X6,X5)))), inference(spm,[status(thm)],[c_0_7, c_0_7])).
% 27.17/4.43 cnf(c_0_20, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X3)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 27.17/4.43 cnf(c_0_21, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X2,X1))), inference(spm,[status(thm)],[c_0_17, c_0_14])).
% 27.17/4.43 cnf(c_0_22, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))), c_0_18).
% 27.17/4.43 cnf(c_0_23, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X3,X4))))|~is_a_theorem(equivalent(X5,equivalent(equivalent(X1,equivalent(X6,X3)),X7)))|~is_a_theorem(equivalent(X5,equivalent(equivalent(X2,equivalent(X6,X4)),X7)))), inference(spm,[status(thm)],[c_0_19, c_0_5])).
% 27.17/4.43 cnf(c_0_24, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X2),equivalent(X1,X3)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
% 27.17/4.43 cnf(c_0_25, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(equivalent(a,equivalent(X2,equivalent(equivalent(b,e),equivalent(c,e)))),X3)))|~is_a_theorem(equivalent(X1,equivalent(equivalent(a,equivalent(X2,equivalent(b,c))),X3)))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 27.17/4.43 cnf(c_0_26, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))|~is_a_theorem(equivalent(X1,X3))), inference(spm,[status(thm)],[c_0_24, c_0_5])).
% 27.17/4.43 cnf(c_0_27, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X3,X4))))|~is_a_theorem(equivalent(equivalent(X2,equivalent(X5,X4)),equivalent(X1,equivalent(X5,X3))))), inference(spm,[status(thm)],[c_0_7, c_0_5])).
% 27.17/4.43 cnf(c_0_28, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(a,equivalent(X2,equivalent(equivalent(b,e),equivalent(c,e))))))|~is_a_theorem(equivalent(equivalent(X1,X3),equivalent(equivalent(a,equivalent(X2,equivalent(b,c))),X3)))), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 27.17/4.43 cnf(c_0_29, plain, (is_a_theorem(equivalent(X1,equivalent(X1,equivalent(X2,X2))))), inference(spm,[status(thm)],[c_0_27, c_0_14])).
% 27.17/4.43 cnf(c_0_30, negated_conjecture, (~is_a_theorem(equivalent(X1,equivalent(a,equivalent(X2,equivalent(equivalent(b,e),equivalent(c,e))))))|~is_a_theorem(equivalent(X1,equivalent(a,equivalent(X2,equivalent(b,c)))))), inference(spm,[status(thm)],[c_0_28, c_0_12])).
% 27.17/4.43 cnf(c_0_31, plain, (is_a_theorem(equivalent(equivalent(X1,X1),X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_21, c_0_12])).
% 27.17/4.43 cnf(c_0_32, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X3,X3))))), inference(spm,[status(thm)],[c_0_7, c_0_29])).
% 27.17/4.43 cnf(c_0_33, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(X1,equivalent(equivalent(b,e),equivalent(c,e)))))|~is_a_theorem(equivalent(equivalent(X2,X2),equivalent(a,equivalent(X1,equivalent(b,c)))))), inference(spm,[status(thm)],[c_0_30, c_0_31])).
% 27.17/4.43 cnf(c_0_34, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(X2,equivalent(X3,X3)),X1))), inference(spm,[status(thm)],[c_0_32, c_0_21])).
% 27.17/4.43 cnf(c_0_35, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(X1,equivalent(equivalent(b,e),equivalent(c,e)))))|~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(b,c)),X2),equivalent(a,X2)))), inference(spm,[status(thm)],[c_0_33, c_0_6])).
% 27.17/4.43 cnf(c_0_36, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X3))|~is_a_theorem(equivalent(X3,X1))), inference(spm,[status(thm)],[c_0_34, c_0_26])).
% 27.17/4.43 cnf(c_0_37, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(X1,equivalent(equivalent(b,e),equivalent(c,e)))))|~is_a_theorem(equivalent(equivalent(a,equivalent(X2,X2)),equivalent(X1,equivalent(b,c))))), inference(spm,[status(thm)],[c_0_35, c_0_36])).
% 27.17/4.43 cnf(c_0_38, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(equivalent(a,equivalent(c,b)),equivalent(equivalent(b,e),equivalent(c,e)))))), inference(spm,[status(thm)],[c_0_37, c_0_5])).
% 27.17/4.43 cnf(c_0_39, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(X1,equivalent(X4,X3)))|~is_a_theorem(equivalent(X4,X2))), inference(spm,[status(thm)],[c_0_10, c_0_12])).
% 27.17/4.43 cnf(c_0_40, negated_conjecture, (~is_a_theorem(equivalent(a,equivalent(X1,equivalent(equivalent(b,e),equivalent(c,e)))))|~is_a_theorem(equivalent(X1,equivalent(a,equivalent(c,b))))), inference(spm,[status(thm)],[c_0_38, c_0_39])).
% 27.17/4.43 cnf(c_0_41, 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_27, c_0_31])).
% 27.17/4.43 cnf(c_0_42, negated_conjecture, (~is_a_theorem(equivalent(equivalent(X1,equivalent(c,e)),equivalent(a,equivalent(c,b))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_27])).
% 27.17/4.43 cnf(c_0_43, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,equivalent(c,b)),equivalent(X1,equivalent(c,e))))), inference(spm,[status(thm)],[c_0_42, c_0_21])).
% 27.17/4.43 cnf(c_0_44, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_43, c_0_5]), ['proof']).
% 27.17/4.43 % SZS output end Proof
% 27.17/4.43 % User time : 3.763 s
% 27.17/4.43 % System time : 0.103 s
% 27.17/4.43 % Total time : 3.865 s
% 27.17/4.43 % User time : 18.664 s
% 27.17/4.43 % System time : 0.528 s
% 27.17/4.43 % Total time : 19.191 s
% 27.17/4.43
%------------------------------------------------------------------------------