%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL103-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n009.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 11:20:20 AM UTC 2026
% Result : Unsatisfiable 65.79s 10.18s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL103-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : java -jar mcs_scs.jar %d %s
% 0.15/0.41 % Computer : n009.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Fri Sep 4 12:25:06 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.26/0.58 start to proof:theBenchmark.p
% 65.79/10.18 % Version : CSI_E---1.1
% 65.79/10.18 % Problem : theBenchmark.p
% 65.79/10.18 % Proof found!
% 65.79/10.18 # SZS status Unsatisfiable
% 65.79/10.18 % SZS output start Proof
% 65.79/10.18 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)).
% 65.79/10.18 cnf(q_3, axiom, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3)),X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', q_3)).
% 65.79/10.18 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)).
% 65.79/10.18 cnf(prove_lg_2, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_lg_2)).
% 65.79/10.18 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])).
% 65.79/10.18 cnf(c_0_5, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_4).
% 65.79/10.18 cnf(c_0_6, axiom, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3)),X3))), q_3).
% 65.79/10.18 cnf(c_0_7, axiom, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3))))), p_1).
% 65.79/10.18 cnf(c_0_8, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1)))), inference(spm,[status(thm)],[c_0_5, c_0_6])).
% 65.79/10.18 cnf(c_0_9, 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_7])).
% 65.79/10.18 cnf(c_0_10, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X2),X1))), inference(spm,[status(thm)],[c_0_8, c_0_9])).
% 65.79/10.18 cnf(c_0_11, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X3,X2))))), inference(spm,[status(thm)],[c_0_10, c_0_7])).
% 65.79/10.18 cnf(c_0_12, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X3)))|~is_a_theorem(equivalent(X2,X3))), inference(spm,[status(thm)],[c_0_5, c_0_11])).
% 65.79/10.18 cnf(c_0_13, 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_5, c_0_12])).
% 65.79/10.18 cnf(c_0_14, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3)),X4))|~is_a_theorem(equivalent(X3,X4))), inference(spm,[status(thm)],[c_0_13, c_0_6])).
% 65.79/10.18 cnf(c_0_15, 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_13, c_0_11])).
% 65.79/10.18 cnf(c_0_16, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(equivalent(equivalent(equivalent(X3,X4),X2),equivalent(X4,X3)),X1)))), inference(spm,[status(thm)],[c_0_8, c_0_14])).
% 65.79/10.18 cnf(c_0_17, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,equivalent(X4,X1)),equivalent(X3,equivalent(X4,X2)))))), inference(spm,[status(thm)],[c_0_15, c_0_11])).
% 65.79/10.18 cnf(c_0_18, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 65.79/10.18 cnf(c_0_19, 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_18])).
% 65.79/10.18 cnf(c_0_20, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X2),X1)))), inference(spm,[status(thm)],[c_0_19, c_0_7])).
% 65.79/10.18 cnf(c_0_21, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(X2,X4))))|~is_a_theorem(equivalent(X3,X4))), inference(spm,[status(thm)],[c_0_5, c_0_17])).
% 65.79/10.18 cnf(c_0_22, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(equivalent(X3,X3),X1),X2))), inference(spm,[status(thm)],[c_0_13, c_0_20])).
% 65.79/10.18 cnf(c_0_23, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(X1,equivalent(X2,X4)))|~is_a_theorem(equivalent(X4,X3))), inference(spm,[status(thm)],[c_0_5, c_0_21])).
% 65.79/10.18 cnf(c_0_24, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1))))), inference(spm,[status(thm)],[c_0_22, c_0_7])).
% 65.79/10.18 cnf(c_0_25, 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_9])).
% 65.79/10.18 cnf(c_0_26, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),X4)))|~is_a_theorem(equivalent(equivalent(equivalent(X3,X2),X1),X4))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 65.79/10.18 cnf(c_0_27, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4))|~is_a_theorem(equivalent(X3,equivalent(equivalent(X2,X1),X4)))), inference(spm,[status(thm)],[c_0_25, c_0_6])).
% 65.79/10.18 cnf(c_0_28, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X4,equivalent(X3,X2)),equivalent(X4,X1)))))), inference(spm,[status(thm)],[c_0_26, c_0_11])).
% 65.79/10.18 cnf(c_0_29, 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_15, c_0_27])).
% 65.79/10.18 cnf(c_0_30, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X4)),equivalent(X2,equivalent(equivalent(X4,X3),X1)))))), inference(spm,[status(thm)],[c_0_19, c_0_28])).
% 65.79/10.18 cnf(c_0_31, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4))|~is_a_theorem(equivalent(equivalent(equivalent(X5,X2),equivalent(equivalent(X1,X5),X3)),X4))), inference(spm,[status(thm)],[c_0_13, c_0_7])).
% 65.79/10.18 cnf(c_0_32, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X1,equivalent(X3,X2)),X4))),X4))), inference(spm,[status(thm)],[c_0_29, c_0_6])).
% 65.79/10.18 cnf(c_0_33, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X4)),X5)))|~is_a_theorem(equivalent(equivalent(X2,equivalent(equivalent(X4,X3),X1)),X5))), inference(spm,[status(thm)],[c_0_23, c_0_30])).
% 65.79/10.18 cnf(c_0_34, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X3,X2),equivalent(X3,X1)),X4)),X4))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 65.79/10.18 cnf(c_0_35, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e))), inference(fof_simplification,[status(thm)],[prove_lg_2])).
% 65.79/10.18 cnf(c_0_36, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X1,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X3),X2))))), inference(spm,[status(thm)],[c_0_19, c_0_27])).
% 65.79/10.18 cnf(c_0_37, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X4,X2),equivalent(X4,X3))),X1)))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
% 65.79/10.18 cnf(c_0_38, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e))), c_0_35).
% 65.79/10.18 cnf(c_0_39, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4),X4))), inference(spm,[status(thm)],[c_0_36, c_0_37])).
% 65.79/10.18 cnf(c_0_40, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39])]), ['proof']).
% 65.79/10.18 % SZS output end Proof
% 65.79/10.18 % User time : 9.182 s
% 65.79/10.18 % System time : 0.231 s
% 65.79/10.18 % Total time : 9.413 s
% 65.79/10.18 % User time : 45.499 s
% 65.79/10.18 % System time : 0.799 s
% 65.79/10.18 % Total time : 46.298 s
% 65.79/10.18
%------------------------------------------------------------------------------