%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL012-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n028.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 11:20:11 AM UTC 2026
% Result : Unsatisfiable 3.23s 0.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL012-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.35 % Computer : n028.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 6 01:35:15 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 3.23/0.94 % Version : CSI_E---1.1
% 3.23/0.94 % Problem : theBenchmark.p
% 3.23/0.94 % Proof found!
% 3.23/0.94 # SZS status Unsatisfiable
% 3.23/0.94 % SZS output start Proof
% 3.23/0.94 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)).
% 3.23/0.94 cnf(um, axiom, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(X2,equivalent(X3,X1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', um)).
% 3.23/0.94 cnf(prove_yqj, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(b,c))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_yqj)).
% 3.23/0.94 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])).
% 3.23/0.94 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 3.23/0.94 cnf(c_0_5, axiom, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(X2,equivalent(X3,X1))))), um).
% 3.23/0.94 cnf(c_0_6, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(equivalent(X3,X1),X2))), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 3.23/0.94 cnf(c_0_7, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,X3)),equivalent(X3,X2))))), inference(spm,[status(thm)],[c_0_6, c_0_5])).
% 3.23/0.94 cnf(c_0_8, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,X1)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_7])).
% 3.23/0.94 cnf(c_0_9, 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_4, c_0_8])).
% 3.23/0.94 cnf(c_0_10, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(X2,equivalent(X3,X1)))), inference(spm,[status(thm)],[c_0_9, c_0_7])).
% 3.23/0.94 cnf(c_0_11, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(X1,X3)))|~is_a_theorem(equivalent(X3,X2))), inference(spm,[status(thm)],[c_0_4, c_0_10])).
% 3.23/0.94 cnf(c_0_12, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X3),X3)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_6, c_0_8])).
% 3.23/0.94 cnf(c_0_13, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2)))), inference(spm,[status(thm)],[c_0_11, c_0_5])).
% 3.23/0.94 cnf(c_0_14, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),X2),X3)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_6, c_0_12])).
% 3.23/0.94 cnf(c_0_15, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X2),X1))), inference(spm,[status(thm)],[c_0_13, c_0_7])).
% 3.23/0.94 cnf(c_0_16, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(X2,X3),X3))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_9, c_0_14])).
% 3.23/0.94 cnf(c_0_17, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X1,X2),X2))), inference(spm,[status(thm)],[c_0_4, c_0_15])).
% 3.23/0.94 cnf(c_0_18, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_16, c_0_15])).
% 3.23/0.94 cnf(c_0_19, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X1,equivalent(X2,X2)))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 3.23/0.94 cnf(c_0_20, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X1),X3),X3)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_9, c_0_15])).
% 3.23/0.94 cnf(c_0_21, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X2))|~is_a_theorem(equivalent(X3,X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_12])).
% 3.23/0.94 cnf(c_0_22, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X2),X2))), inference(spm,[status(thm)],[c_0_19, c_0_15])).
% 3.23/0.94 cnf(c_0_23, 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_9, c_0_20])).
% 3.23/0.94 cnf(c_0_24, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_16, c_0_8])).
% 3.23/0.94 cnf(c_0_25, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X2))|~is_a_theorem(equivalent(equivalent(X3,X3),X1))), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 3.23/0.94 cnf(c_0_26, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(X2,X1),X2))), inference(spm,[status(thm)],[c_0_13, c_0_18])).
% 3.23/0.94 cnf(c_0_27, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),X2))|~is_a_theorem(equivalent(X3,X1))), inference(spm,[status(thm)],[c_0_23, c_0_5])).
% 3.23/0.94 cnf(c_0_28, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_17, c_0_24])).
% 3.23/0.94 cnf(c_0_29, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),X2)),X3),X3))), inference(spm,[status(thm)],[c_0_25, c_0_5])).
% 3.23/0.94 cnf(c_0_30, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X2,X1))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 3.23/0.94 cnf(c_0_31, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),X2)),X3))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
% 3.23/0.94 cnf(c_0_32, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X3,X1),X2)))), inference(spm,[status(thm)],[c_0_30, c_0_5])).
% 3.23/0.94 cnf(c_0_33, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),X2),X1),X3))), inference(spm,[status(thm)],[c_0_13, c_0_31])).
% 3.23/0.94 cnf(c_0_34, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X2,X3),X1),X3)))), inference(spm,[status(thm)],[c_0_6, c_0_32])).
% 3.23/0.94 cnf(c_0_35, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X2,equivalent(equivalent(X3,X1),X3)))), inference(spm,[status(thm)],[c_0_33, c_0_27])).
% 3.23/0.94 cnf(c_0_36, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X2),equivalent(X3,X1)))), inference(spm,[status(thm)],[c_0_30, c_0_34])).
% 3.23/0.94 cnf(c_0_37, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(X3,equivalent(X1,X2)))), inference(spm,[status(thm)],[c_0_30, c_0_10])).
% 3.23/0.94 cnf(c_0_38, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X1)),X3)))), inference(spm,[status(thm)],[c_0_35, c_0_36])).
% 3.23/0.94 cnf(c_0_39, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X3),X1)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_9, c_0_5])).
% 3.23/0.94 cnf(c_0_40, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)))), inference(spm,[status(thm)],[c_0_37, c_0_38])).
% 3.23/0.94 cnf(c_0_41, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X1,X2),X3),X3)))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_6, c_0_39])).
% 3.23/0.94 cnf(c_0_42, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(equivalent(X3,X2),X1)),X3)))), inference(spm,[status(thm)],[c_0_35, c_0_5])).
% 3.23/0.94 cnf(c_0_43, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(X2,X3),X1))), inference(spm,[status(thm)],[c_0_23, c_0_36])).
% 3.23/0.94 cnf(c_0_44, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X2),equivalent(X1,X3))))), inference(spm,[status(thm)],[c_0_6, c_0_40])).
% 3.23/0.94 cnf(c_0_45, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(X2,X3),X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_9, c_0_41])).
% 3.23/0.94 cnf(c_0_46, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),X3)),equivalent(X2,X3)))), inference(spm,[status(thm)],[c_0_37, c_0_42])).
% 3.23/0.94 cnf(c_0_47, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X1)),X3),X2))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
% 3.23/0.94 cnf(c_0_48, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(b,c))))), inference(fof_simplification,[status(thm)],[prove_yqj])).
% 3.23/0.94 cnf(c_0_49, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(X1,X3),X2))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
% 3.23/0.94 cnf(c_0_50, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X1),equivalent(X3,X2))),X3))), inference(spm,[status(thm)],[c_0_43, c_0_47])).
% 3.23/0.94 cnf(c_0_51, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(b,c))))), c_0_48).
% 3.23/0.94 cnf(c_0_52, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X2,X3))))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
% 3.23/0.94 cnf(c_0_53, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52])]), ['proof']).
% 3.23/0.94 % SZS output end Proof
% 3.23/0.94 % User time : 0.378 s
% 3.23/0.94 % System time : 0.015 s
% 3.23/0.94 % Total time : 0.393 s
% 3.23/0.94 % User time : 0.381 s
% 3.23/0.94 % System time : 0.016 s
% 3.23/0.94 % Total time : 0.397 s
% 3.23/0.94
%------------------------------------------------------------------------------