%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL102-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n015.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 0.22s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL102-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 4 17:54:56 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.22/0.47 start to proof:theBenchmark.p
% 0.22/0.58 % Version : CSI_E---1.1
% 0.22/0.58 % Problem : theBenchmark.p
% 0.22/0.58 % Proof found!
% 0.22/0.58 # SZS status Unsatisfiable
% 0.22/0.58 % SZS output start Proof
% 0.22/0.58 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)).
% 0.22/0.58 cnf(q_2, axiom, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X3,X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', q_2)).
% 0.22/0.58 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/sandbox/benchmark/theBenchmark.p', lg_2)).
% 0.22/0.58 cnf(q_1, axiom, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', q_1)).
% 0.22/0.58 cnf(prove_p_1, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_p_1)).
% 0.22/0.58 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])).
% 0.22/0.58 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(equivalent(X1,X2))|~is_a_theorem(X1)), c_0_5).
% 0.22/0.58 cnf(c_0_7, axiom, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(X3,X2))))), q_2).
% 0.22/0.58 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).
% 0.22/0.58 cnf(c_0_9, plain, (is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X1,X3)))|~is_a_theorem(equivalent(X2,X3))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 0.22/0.58 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])).
% 0.22/0.58 cnf(c_0_11, 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_6, c_0_9])).
% 0.22/0.58 cnf(c_0_12, axiom, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X2),X1))))), q_1).
% 0.22/0.58 cnf(c_0_13, plain, (is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(X2,X4))),equivalent(X1,equivalent(X3,X4))))), inference(spm,[status(thm)],[c_0_10, c_0_7])).
% 0.22/0.58 cnf(c_0_14, plain, (is_a_theorem(equivalent(equivalent(X1,X2),X3))|~is_a_theorem(equivalent(equivalent(equivalent(X4,X1),equivalent(X4,X2)),X3))), inference(spm,[status(thm)],[c_0_11, c_0_7])).
% 0.22/0.58 cnf(c_0_15, plain, (is_a_theorem(equivalent(X1,X2))|~is_a_theorem(equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X3),X1)),X2))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.22/0.58 cnf(c_0_16, plain, (is_a_theorem(equivalent(X1,equivalent(X2,X3)))|~is_a_theorem(equivalent(X1,equivalent(equivalent(X4,X2),equivalent(X4,X3))))), inference(spm,[status(thm)],[c_0_6, c_0_13])).
% 0.22/0.58 cnf(c_0_17, plain, (is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(equivalent(equivalent(X4,X1),equivalent(X4,X2)),X3)))), inference(spm,[status(thm)],[c_0_14, c_0_8])).
% 0.22/0.58 cnf(c_0_18, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))), inference(fof_simplification,[status(thm)],[prove_p_1])).
% 0.22/0.58 cnf(c_0_19, 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_15, c_0_9])).
% 0.22/0.58 cnf(c_0_20, 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_16, c_0_17])).
% 0.22/0.58 cnf(c_0_21, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))), c_0_18).
% 0.22/0.58 cnf(c_0_22, 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_19, c_0_20])).
% 0.22/0.58 cnf(c_0_23, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])]), ['proof']).
% 0.22/0.58 % SZS output end Proof
% 0.22/0.58 % User time : 0.077 s
% 0.22/0.58 % System time : 0.009 s
% 0.22/0.58 % Total time : 0.086 s
% 0.22/0.58 % User time : 0.078 s
% 0.22/0.58 % System time : 0.013 s
% 0.22/0.58 % Total time : 0.091 s
% 0.22/0.58
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