%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL108-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n027.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 0.25s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL108-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.33 % Computer : n027.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sat Sep 5 16:12:28 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.12/0.45 start to proof:theBenchmark.p
% 0.25/0.52 % Version : CSI_E---1.1
% 0.25/0.52 % Problem : theBenchmark.p
% 0.25/0.52 % Proof found!
% 0.25/0.52 # SZS status Unsatisfiable
% 0.25/0.52 % SZS output start Proof
% 0.25/0.52 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)).
% 0.25/0.52 cnf(lg_27_1690, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X5),equivalent(equivalent(equivalent(X6,X5),equivalent(X6,X4)),X7))),equivalent(X3,equivalent(equivalent(X2,X1),X7))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', lg_27_1690)).
% 0.25/0.52 cnf(prove_q_3, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_q_3)).
% 0.25/0.52 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])).
% 0.25/0.52 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 0.25/0.52 cnf(c_0_5, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X5),equivalent(equivalent(equivalent(X6,X5),equivalent(X6,X4)),X7))),equivalent(X3,equivalent(equivalent(X2,X1),X7))))), lg_27_1690).
% 0.25/0.52 cnf(c_0_6, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),X4)))|~is_a_theorem(equivalent(equivalent(equivalent(X3,X2),X1),equivalent(equivalent(X5,X6),equivalent(equivalent(equivalent(X7,X6),equivalent(X7,X5)),X4))))), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 0.25/0.52 cnf(c_0_7, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X3,X2),equivalent(X3,X1)),X4)),equivalent(equivalent(equivalent(X5,X6),equivalent(equivalent(X7,X5),equivalent(X7,X6))),X4)))), inference(spm,[status(thm)],[c_0_6, c_0_5])).
% 0.25/0.52 cnf(c_0_8, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(equivalent(equivalent(X4,equivalent(equivalent(X5,X6),equivalent(X5,X7))),equivalent(X4,equivalent(X6,X7))),X8)),equivalent(equivalent(X2,X3),X8)))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 0.25/0.52 cnf(c_0_9, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(equivalent(X4,X1),equivalent(X4,X2)),equivalent(equivalent(equivalent(X5,equivalent(equivalent(X6,X7),equivalent(X6,X8))),equivalent(X5,equivalent(X7,X8))),X3)))), inference(spm,[status(thm)],[c_0_4, c_0_8])).
% 0.25/0.52 cnf(c_0_10, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X4)),equivalent(X2,equivalent(X3,X5)))),equivalent(X1,equivalent(X4,X5))),X6),X6))), inference(spm,[status(thm)],[c_0_9, c_0_8])).
% 0.25/0.52 cnf(c_0_11, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(equivalent(X3,equivalent(X4,X5)),equivalent(X3,equivalent(X4,X6)))),equivalent(X2,equivalent(X5,X6))),X1))), inference(spm,[status(thm)],[c_0_4, c_0_10])).
% 0.25/0.52 cnf(c_0_12, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X4),equivalent(X3,X5)))),equivalent(X1,equivalent(X2,X6))),equivalent(equivalent(X4,X5),X6)))), inference(spm,[status(thm)],[c_0_11, c_0_5])).
% 0.25/0.52 cnf(c_0_13, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(X4,equivalent(X5,equivalent(equivalent(X6,X1),equivalent(X6,X2)))),equivalent(X4,equivalent(X5,X3))))), inference(spm,[status(thm)],[c_0_4, c_0_12])).
% 0.25/0.52 cnf(c_0_14, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),X4),equivalent(equivalent(X1,equivalent(equivalent(X5,X2),equivalent(X5,X3))),X4)))), inference(spm,[status(thm)],[c_0_13, c_0_7])).
% 0.25/0.52 cnf(c_0_15, 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_4, c_0_14])).
% 0.25/0.52 cnf(c_0_16, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(equivalent(X3,X4),equivalent(X3,X5))))|~is_a_theorem(equivalent(equivalent(X2,equivalent(X4,X5)),X1))), inference(spm,[status(thm)],[c_0_4, c_0_15])).
% 0.25/0.52 cnf(c_0_17, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,equivalent(X3,X4)),equivalent(X2,X5)),equivalent(equivalent(equivalent(X6,X3),equivalent(X6,X4)),X5)),X1))), inference(spm,[status(thm)],[c_0_16, c_0_14])).
% 0.25/0.52 cnf(c_0_18, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2)))), inference(spm,[status(thm)],[c_0_17, c_0_12])).
% 0.25/0.52 cnf(c_0_19, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X3,X2))))), inference(spm,[status(thm)],[c_0_13, c_0_18])).
% 0.25/0.52 cnf(c_0_20, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))), inference(fof_simplification,[status(thm)],[prove_q_3])).
% 0.25/0.52 cnf(c_0_21, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X3)))|~is_a_theorem(equivalent(X2,X3))), inference(spm,[status(thm)],[c_0_4, c_0_19])).
% 0.25/0.52 cnf(c_0_22, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))), c_0_20).
% 0.25/0.52 cnf(c_0_23, 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_4, c_0_21])).
% 0.25/0.52 cnf(c_0_24, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(equivalent(X4,X2),X5))),equivalent(equivalent(X4,X3),X5)))), inference(spm,[status(thm)],[c_0_11, c_0_8])).
% 0.25/0.52 cnf(c_0_25, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),X1))|~is_a_theorem(equivalent(X1,c))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 0.25/0.52 cnf(c_0_26, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(X4,equivalent(X5,X2)),equivalent(equivalent(X6,X4),equivalent(X6,equivalent(equivalent(X1,X5),X3)))))), inference(spm,[status(thm)],[c_0_16, c_0_24])).
% 0.25/0.52 cnf(c_0_27, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,b),X1),c))|~is_a_theorem(equivalent(equivalent(equivalent(b,a),c),X1))), inference(spm,[status(thm)],[c_0_25, c_0_21])).
% 0.25/0.52 cnf(c_0_28, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X2)),X3)),X3))), inference(spm,[status(thm)],[c_0_26, c_0_14])).
% 0.25/0.52 cnf(c_0_29, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(a,b),equivalent(X1,X1)),c)))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 0.25/0.52 cnf(c_0_30, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X4,X1),equivalent(equivalent(X5,X4),equivalent(X5,X2))),X3)))), inference(spm,[status(thm)],[c_0_9, c_0_14])).
% 0.25/0.52 cnf(c_0_31, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_29, c_0_30]), ['proof']).
% 0.25/0.52 % SZS output end Proof
% 0.25/0.52 % User time : 0.007 s
% 0.25/0.52 % System time : 0.005 s
% 0.25/0.52 % Total time : 0.012 s
% 0.25/0.52 % User time : 0.034 s
% 0.25/0.52 % System time : 0.011 s
% 0.25/0.52 % Total time : 0.045 s
% 0.25/0.52
%------------------------------------------------------------------------------