%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL167-1 : 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 11:20:26 AM UTC 2026
% Result : Unsatisfiable 2.83s 0.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL167-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.06/0.33 % Computer : n007.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Fri Sep 4 15:23:54 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.13/0.45 start to proof:theBenchmark.p
% 2.83/0.87 % Version : CSI_E---1.1
% 2.83/0.87 % Problem : theBenchmark.p
% 2.83/0.87 % Proof found!
% 2.83/0.87 # SZS status Unsatisfiable
% 2.83/0.87 % SZS output start Proof
% 2.83/0.87 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)).
% 2.83/0.87 cnf(xhk, axiom, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X1,X3),X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', xhk)).
% 2.83/0.87 cnf(prove_yro, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(c,b),a))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_yro)).
% 2.83/0.87 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])).
% 2.83/0.87 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 2.83/0.87 cnf(c_0_5, axiom, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X1,X3),X2))))), xhk).
% 2.83/0.87 cnf(c_0_6, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X2),X1)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 2.83/0.87 cnf(c_0_7, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(X3,X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_4, c_0_6])).
% 2.83/0.87 cnf(c_0_8, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,X3))|~is_a_theorem(equivalent(X1,X3))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_7])).
% 2.83/0.87 cnf(c_0_9, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),X4)))|~is_a_theorem(equivalent(X4,X3))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_8, c_0_6])).
% 2.83/0.87 cnf(c_0_10, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_9, c_0_5])).
% 2.83/0.87 cnf(c_0_11, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,X3))|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_10, c_0_7])).
% 2.83/0.87 cnf(c_0_12, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X4,X3),X2)))|~is_a_theorem(equivalent(X1,X4))), inference(spm,[status(thm)],[c_0_11, c_0_5])).
% 2.83/0.87 cnf(c_0_13, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X4,X3),X2))))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_8, c_0_5])).
% 2.83/0.87 cnf(c_0_14, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_12, c_0_6])).
% 2.83/0.87 cnf(c_0_15, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X2))|~is_a_theorem(X1)|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_13, c_0_6])).
% 2.83/0.87 cnf(c_0_16, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(X2)|~is_a_theorem(X1)|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 2.83/0.87 cnf(c_0_17, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X3)|~is_a_theorem(X2)|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_14, c_0_16])).
% 2.83/0.87 cnf(c_0_18, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X1,X3),X2)))), inference(spm,[status(thm)],[c_0_14, c_0_5])).
% 2.83/0.87 cnf(c_0_19, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X2)|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_17, c_0_5])).
% 2.83/0.87 cnf(c_0_20, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(X3,X2),X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_14, c_0_6])).
% 2.83/0.87 cnf(c_0_21, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(X3,X2))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 2.83/0.87 cnf(c_0_22, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X3,X4),X2),X1)),X4))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_20, c_0_5])).
% 2.83/0.87 cnf(c_0_23, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(X2,X3),X1),X3))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_21, c_0_6])).
% 2.83/0.87 cnf(c_0_24, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X3,equivalent(equivalent(equivalent(X4,X3),X2),X1)))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 2.83/0.87 cnf(c_0_25, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X2),X3))|~is_a_theorem(X3)|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_23, c_0_22])).
% 2.83/0.87 cnf(c_0_26, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X1)),X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_24, c_0_5])).
% 2.83/0.87 cnf(c_0_27, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X2))|~is_a_theorem(X3)|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_14, c_0_25])).
% 2.83/0.87 cnf(c_0_28, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X2,equivalent(X3,X1)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_21, c_0_26])).
% 2.83/0.87 cnf(c_0_29, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_27, c_0_5])).
% 2.83/0.87 cnf(c_0_30, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X1))|~is_a_theorem(equivalent(X3,X2))), inference(spm,[status(thm)],[c_0_28, c_0_5])).
% 2.83/0.87 cnf(c_0_31, plain, (is_a_theorem(equivalent(X1,X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_20, c_0_29])).
% 2.83/0.87 cnf(c_0_32, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X1,X3))|~is_a_theorem(equivalent(X2,X3))), inference(spm,[status(thm)],[c_0_20, c_0_30])).
% 2.83/0.87 cnf(c_0_33, plain, (is_a_theorem(equivalent(X1,X1))), inference(spm,[status(thm)],[c_0_31, c_0_5])).
% 2.83/0.87 cnf(c_0_34, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X2,X1))), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 2.83/0.87 cnf(c_0_35, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X2),X1)),X3))), inference(spm,[status(thm)],[c_0_34, c_0_5])).
% 2.83/0.87 cnf(c_0_36, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X2),X1))), inference(spm,[status(thm)],[c_0_10, c_0_35])).
% 2.83/0.87 cnf(c_0_37, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X3,X3),X2),X1)))), inference(spm,[status(thm)],[c_0_36, c_0_5])).
% 2.83/0.87 cnf(c_0_38, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X1),X2),X3),equivalent(X3,X2)))), inference(spm,[status(thm)],[c_0_34, c_0_37])).
% 2.83/0.87 cnf(c_0_39, plain, (is_a_theorem(equivalent(equivalent(X1,X1),X2))|~is_a_theorem(equivalent(equivalent(X3,X2),X3))), inference(spm,[status(thm)],[c_0_21, c_0_38])).
% 2.83/0.87 cnf(c_0_40, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X3,equivalent(equivalent(X3,X2),X1)))), inference(spm,[status(thm)],[c_0_21, c_0_35])).
% 2.83/0.87 cnf(c_0_41, plain, (is_a_theorem(equivalent(equivalent(X1,X1),equivalent(equivalent(equivalent(X2,X3),X3),X2)))), inference(spm,[status(thm)],[c_0_39, c_0_35])).
% 2.83/0.87 cnf(c_0_42, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X1),X2))), inference(spm,[status(thm)],[c_0_40, c_0_5])).
% 2.83/0.87 cnf(c_0_43, 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_21, c_0_30])).
% 2.83/0.87 cnf(c_0_44, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X2),X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4, c_0_41]), c_0_33])])).
% 2.83/0.87 cnf(c_0_45, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X1),X2))), inference(spm,[status(thm)],[c_0_4, c_0_42])).
% 2.83/0.87 cnf(c_0_46, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X2),X3))|~is_a_theorem(equivalent(X1,X3))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
% 2.83/0.87 cnf(c_0_47, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(X2,X1)))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
% 2.83/0.87 cnf(c_0_48, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X1),X3))|~is_a_theorem(equivalent(X2,X3))), inference(spm,[status(thm)],[c_0_43, c_0_42])).
% 2.83/0.87 cnf(c_0_49, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(equivalent(equivalent(X3,X2),X3),X1)))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
% 2.83/0.87 cnf(c_0_50, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X2,X1)))), inference(spm,[status(thm)],[c_0_49, c_0_5])).
% 2.83/0.87 cnf(c_0_51, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(X2,X1),X3))), inference(spm,[status(thm)],[c_0_43, c_0_50])).
% 2.83/0.87 cnf(c_0_52, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(X3,X2)),X1))), inference(spm,[status(thm)],[c_0_51, c_0_35])).
% 2.83/0.87 cnf(c_0_53, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(c,b),a))))), inference(fof_simplification,[status(thm)],[prove_yro])).
% 2.83/0.87 cnf(c_0_54, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(equivalent(X1,X3),X2))), inference(spm,[status(thm)],[c_0_20, c_0_52])).
% 2.83/0.87 cnf(c_0_55, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(c,b),a))))), c_0_53).
% 2.83/0.87 cnf(c_0_56, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(equivalent(X3,X2),X1))))), inference(spm,[status(thm)],[c_0_54, c_0_35])).
% 2.83/0.87 cnf(c_0_57, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_56])]), ['proof']).
% 2.83/0.87 % SZS output end Proof
% 2.83/0.87 % User time : 0.381 s
% 2.83/0.87 % System time : 0.015 s
% 2.83/0.87 % Total time : 0.396 s
% 2.83/0.87 % User time : 0.382 s
% 2.83/0.87 % System time : 0.018 s
% 2.83/0.87 % Total time : 0.400 s
% 2.83/0.87
%------------------------------------------------------------------------------