%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL096-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n017.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 11:20:19 AM UTC 2026
% Result : Unsatisfiable 67.83s 10.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL096-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.35 % Computer : n017.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 : Fri Sep 4 15:17:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 67.83/10.54 % Version : CSI_E---1.1
% 67.83/10.54 % Problem : theBenchmark.p
% 67.83/10.54 % Proof found!
% 67.83/10.54 # SZS status Unsatisfiable
% 67.83/10.54 % SZS output start Proof
% 67.83/10.54 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)).
% 67.83/10.54 cnf(lg_3, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X5),X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lg_3)).
% 67.83/10.54 cnf(lg_2, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4),X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lg_2)).
% 67.83/10.54 cnf(lg_4, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lg_4)).
% 67.83/10.54 cnf(prove_lg_1, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_lg_1)).
% 67.83/10.54 cnf(c_0_5, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 67.83/10.54 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_5).
% 67.83/10.54 cnf(c_0_7, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X5),X5))), lg_3).
% 67.83/10.54 cnf(c_0_8, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4),X4))), lg_2).
% 67.83/10.54 cnf(c_0_9, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),equivalent(equivalent(X3,X4),X5)),X1))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 67.83/10.54 cnf(c_0_10, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),equivalent(X3,X4)),X1))), inference(spm,[status(thm)],[c_0_6, c_0_8])).
% 67.83/10.54 cnf(c_0_11, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X2)))), inference(spm,[status(thm)],[c_0_9, c_0_8])).
% 67.83/10.54 cnf(c_0_12, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 67.83/10.54 cnf(c_0_13, axiom, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4))))), lg_4).
% 67.83/10.54 cnf(c_0_14, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X3,X2)))), inference(spm,[status(thm)],[c_0_6, c_0_12])).
% 67.83/10.54 cnf(c_0_15, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),X5)))|~is_a_theorem(equivalent(equivalent(equivalent(X1,X4),X3),X5))), inference(spm,[status(thm)],[c_0_6, c_0_13])).
% 67.83/10.54 cnf(c_0_16, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(equivalent(X3,X3),X1),X2))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 67.83/10.54 cnf(c_0_17, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X2),X1)))), inference(spm,[status(thm)],[c_0_14, c_0_13])).
% 67.83/10.54 cnf(c_0_18, 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_16, c_0_15])).
% 67.83/10.54 cnf(c_0_19, plain, (is_a_theorem(equivalent(equivalent(X1,X1),X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_6, c_0_17])).
% 67.83/10.54 cnf(c_0_20, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X3)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 67.83/10.54 cnf(c_0_21, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(X2,X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_6, c_0_20])).
% 67.83/10.54 cnf(c_0_22, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))), inference(fof_simplification,[status(thm)],[prove_lg_1])).
% 67.83/10.54 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_14, c_0_21])).
% 67.83/10.54 cnf(c_0_24, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))), c_0_22).
% 67.83/10.54 cnf(c_0_25, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),X4))|~is_a_theorem(equivalent(equivalent(equivalent(X5,X2),X6),X4))|~is_a_theorem(equivalent(equivalent(equivalent(X1,X5),X3),X6))), inference(spm,[status(thm)],[c_0_23, c_0_15])).
% 67.83/10.54 cnf(c_0_26, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(b,b),a)),X2),c))|~is_a_theorem(equivalent(equivalent(equivalent(a,X1),c),X2))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 67.83/10.54 cnf(c_0_27, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(b,b),a)),equivalent(equivalent(X2,X2),equivalent(equivalent(a,X1),c))),c))), inference(spm,[status(thm)],[c_0_26, c_0_17])).
% 67.83/10.54 cnf(c_0_28, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4))|~is_a_theorem(equivalent(equivalent(X2,X3),X4))), inference(spm,[status(thm)],[c_0_23, c_0_12])).
% 67.83/10.54 cnf(c_0_29, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),X4))|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X5),X1),equivalent(X5,X3)),X4))), inference(spm,[status(thm)],[c_0_10, c_0_15])).
% 67.83/10.54 cnf(c_0_30, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,b),a),equivalent(equivalent(a,equivalent(X1,X1)),c)),c))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 67.83/10.54 cnf(c_0_31, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),X4)),equivalent(equivalent(X3,X2),X4)))), inference(spm,[status(thm)],[c_0_29, c_0_8])).
% 67.83/10.54 cnf(c_0_32, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,b),a),equivalent(equivalent(a,equivalent(X1,X1)),c)),X2))|~is_a_theorem(equivalent(X2,c))), inference(spm,[status(thm)],[c_0_30, c_0_23])).
% 67.83/10.54 cnf(c_0_33, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X2),X2))), inference(spm,[status(thm)],[c_0_14, c_0_31])).
% 67.83/10.54 cnf(c_0_34, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,b),a),equivalent(equivalent(a,equivalent(X1,X1)),c)),equivalent(equivalent(X2,X2),c)))), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 67.83/10.54 cnf(c_0_35, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_34, c_0_31]), ['proof']).
% 67.83/10.54 % SZS output end Proof
% 67.83/10.54 % User time : 9.560 s
% 67.83/10.54 % System time : 0.295 s
% 67.83/10.54 % Total time : 9.855 s
% 67.83/10.54 % User time : 9.564 s
% 67.83/10.54 % System time : 0.297 s
% 67.83/10.54 % Total time : 9.860 s
% 67.83/10.54
%------------------------------------------------------------------------------