%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL118-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n013.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 11:20:22 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL118-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n013.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 15:16:50 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.14/0.46 start to proof:theBenchmark.p
% 0.25/0.51 % Version : CSI_E---1.1
% 0.25/0.51 % Problem : theBenchmark.p
% 0.25/0.51 % Proof found!
% 0.25/0.51 # SZS status Unsatisfiable
% 0.25/0.51 % SZS output start Proof
% 0.25/0.51 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)).
% 0.25/0.51 cnf(wo, axiom, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,equivalent(X2,X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', wo)).
% 0.25/0.51 cnf(prove_yqm, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_yqm)).
% 0.25/0.51 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])).
% 0.25/0.51 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 0.25/0.51 cnf(c_0_5, axiom, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X3,equivalent(X2,X1))))), wo).
% 0.25/0.51 cnf(c_0_6, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(X3,equivalent(X2,X1)))), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 0.25/0.51 cnf(c_0_7, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(X2,equivalent(X1,X3)))))), inference(spm,[status(thm)],[c_0_6, c_0_5])).
% 0.25/0.51 cnf(c_0_8, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X3,X1))))|~is_a_theorem(equivalent(X3,X2))), inference(spm,[status(thm)],[c_0_4, c_0_7])).
% 0.25/0.51 cnf(c_0_9, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X2)))|~is_a_theorem(equivalent(X1,X3))), inference(spm,[status(thm)],[c_0_6, c_0_8])).
% 0.25/0.51 cnf(c_0_10, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X3,X2))|~is_a_theorem(equivalent(X3,X1))), inference(spm,[status(thm)],[c_0_4, c_0_9])).
% 0.25/0.51 cnf(c_0_11, plain, (is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X3,X4))))|~is_a_theorem(equivalent(equivalent(X4,equivalent(X3,X2)),X1))), inference(spm,[status(thm)],[c_0_10, c_0_5])).
% 0.25/0.51 cnf(c_0_12, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(X2,X3))))), inference(spm,[status(thm)],[c_0_11, c_0_5])).
% 0.25/0.51 cnf(c_0_13, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(X3,equivalent(X1,X2)))))), inference(spm,[status(thm)],[c_0_6, c_0_12])).
% 0.25/0.51 cnf(c_0_14, plain, (is_a_theorem(equivalent(X1,equivalent(X1,equivalent(X2,X3))))|~is_a_theorem(equivalent(X2,X3))), inference(spm,[status(thm)],[c_0_4, c_0_13])).
% 0.25/0.51 cnf(c_0_15, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,X3)))|~is_a_theorem(equivalent(X1,X2))), inference(spm,[status(thm)],[c_0_6, c_0_14])).
% 0.25/0.51 cnf(c_0_16, plain, (is_a_theorem(equivalent(X1,X1))|~is_a_theorem(equivalent(X2,X3))), inference(spm,[status(thm)],[c_0_4, c_0_15])).
% 0.25/0.51 cnf(c_0_17, plain, (is_a_theorem(equivalent(X1,X1))), inference(spm,[status(thm)],[c_0_16, c_0_5])).
% 0.25/0.51 cnf(c_0_18, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(X2,X1))), inference(spm,[status(thm)],[c_0_10, c_0_17])).
% 0.25/0.51 cnf(c_0_19, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X3,X1))),equivalent(X3,X2)))), inference(spm,[status(thm)],[c_0_18, c_0_7])).
% 0.25/0.51 cnf(c_0_20, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))), inference(fof_simplification,[status(thm)],[prove_yqm])).
% 0.25/0.51 cnf(c_0_21, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))), inference(spm,[status(thm)],[c_0_11, c_0_19])).
% 0.25/0.51 cnf(c_0_22, negated_conjecture, (~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))), c_0_20).
% 0.25/0.51 cnf(c_0_23, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X2),equivalent(X3,X1))))), inference(spm,[status(thm)],[c_0_6, c_0_21])).
% 0.25/0.51 cnf(c_0_24, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])]), ['proof']).
% 0.25/0.51 % SZS output end Proof
% 0.25/0.51 % User time : 0.006 s
% 0.25/0.51 % System time : 0.003 s
% 0.25/0.51 % Total time : 0.009 s
% 0.25/0.51 % User time : 0.009 s
% 0.25/0.51 % System time : 0.004 s
% 0.25/0.51 % Total time : 0.013 s
% 0.25/0.51
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