%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL098-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n012.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 0.08s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL098-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.01 % Command : java -jar mcs_scs.jar %d %s
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Fri Sep 4 22:21:57 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.08/0.35 start to proof:theBenchmark.p
% 0.08/0.42 % Version : CSI_E---1.1
% 0.08/0.42 % Problem : theBenchmark.p
% 0.08/0.42 % Proof found!
% 0.08/0.42 # SZS status Unsatisfiable
% 0.08/0.42 % SZS output start Proof
% 0.08/0.42 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)).
% 0.08/0.42 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)).
% 0.08/0.42 cnf(prove_lg_4, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_lg_4)).
% 0.08/0.42 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])).
% 0.08/0.42 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 0.08/0.42 cnf(c_0_5, 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).
% 0.08/0.42 cnf(c_0_6, 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_4, c_0_5])).
% 0.08/0.42 cnf(c_0_7, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(X4,X2),equivalent(equivalent(X1,X4),X3))))), inference(spm,[status(thm)],[c_0_6, c_0_5])).
% 0.08/0.42 cnf(c_0_8, 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_4, c_0_7])).
% 0.08/0.42 cnf(c_0_9, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5)),X6))|~is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X3,X4),X5)),X6))), inference(spm,[status(thm)],[c_0_6, c_0_8])).
% 0.08/0.42 cnf(c_0_10, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6)))|~is_a_theorem(equivalent(equivalent(X2,equivalent(equivalent(X4,X5),X6)),X1))), inference(spm,[status(thm)],[c_0_4, c_0_9])).
% 0.08/0.42 cnf(c_0_11, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X1),equivalent(equivalent(X4,X5),X2))))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 0.08/0.42 cnf(c_0_12, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))), inference(fof_simplification,[status(thm)],[prove_lg_4])).
% 0.08/0.42 cnf(c_0_13, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),X4),X5),equivalent(equivalent(equivalent(X2,X6),X4),equivalent(equivalent(X3,X6),X5))),X1))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.08/0.42 cnf(c_0_14, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))), c_0_12).
% 0.08/0.42 cnf(c_0_15, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X3),X4),equivalent(equivalent(equivalent(X1,X5),X3),equivalent(equivalent(X2,X5),X4))))), inference(spm,[status(thm)],[c_0_13, c_0_5])).
% 0.08/0.42 cnf(c_0_16, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])]), ['proof']).
% 0.08/0.42 % SZS output end Proof
% 0.08/0.42 % User time : 0.052 s
% 0.08/0.42 % System time : 0.006 s
% 0.08/0.42 % Total time : 0.058 s
% 0.08/0.42 % User time : 0.241 s
% 0.08/0.42 % System time : 0.010 s
% 0.08/0.42 % Total time : 0.251 s
% 0.08/0.42
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