%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL042-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n028.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 11:20:14 AM UTC 2026
% Result : Unsatisfiable 11.55s 1.97s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL042-1 : 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 : n028.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 : Fri Sep 4 16:27:58 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.45 start to proof:theBenchmark.p
% 11.55/1.97 % Version : CSI_E---1.1
% 11.55/1.97 % Problem : theBenchmark.p
% 11.55/1.97 % Proof found!
% 11.55/1.97 # SZS status Unsatisfiable
% 11.55/1.97 % SZS output start Proof
% 11.55/1.97 cnf(condensed_detachment, axiom, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', condensed_detachment)).
% 11.55/1.97 cnf(cn_22, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_22)).
% 11.55/1.97 cnf(cn_21, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_21)).
% 11.55/1.97 cnf(cn_54, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X2),X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_54)).
% 11.55/1.97 cnf(cn_3, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_3)).
% 11.55/1.97 cnf(prove_cn_35, negated_conjecture, (~is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_cn_35)).
% 11.55/1.97 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 11.55/1.97 cnf(c_0_7, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_6).
% 11.55/1.97 cnf(c_0_8, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))), cn_22).
% 11.55/1.97 cnf(c_0_9, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 11.55/1.97 cnf(c_0_10, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))))), cn_21).
% 11.55/1.97 cnf(c_0_11, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,X3))|~is_a_theorem(implies(X3,X2))), inference(spm,[status(thm)],[c_0_7, c_0_9])).
% 11.55/1.97 cnf(c_0_12, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_7, c_0_10])).
% 11.55/1.97 cnf(c_0_13, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X2),X2)))), cn_54).
% 11.55/1.97 cnf(c_0_14, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(implies(implies(X4,X1),implies(X4,X2)),X3))), inference(spm,[status(thm)],[c_0_11, c_0_8])).
% 11.55/1.97 cnf(c_0_15, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 11.55/1.97 cnf(c_0_16, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))), cn_3).
% 11.55/1.97 cnf(c_0_17, negated_conjecture, (~is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c))))), inference(fof_simplification,[status(thm)],[prove_cn_35])).
% 11.55/1.97 cnf(c_0_18, plain, (is_a_theorem(implies(implies(X1,implies(X2,X3)),X4))|~is_a_theorem(implies(implies(X2,implies(X1,X3)),X4))), inference(spm,[status(thm)],[c_0_11, c_0_10])).
% 11.55/1.97 cnf(c_0_19, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),X4)))|~is_a_theorem(implies(implies(X3,X2),X4))), inference(spm,[status(thm)],[c_0_14, c_0_9])).
% 11.55/1.97 cnf(c_0_20, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(X1),X2))), inference(spm,[status(thm)],[c_0_7, c_0_15])).
% 11.55/1.97 cnf(c_0_21, plain, (is_a_theorem(implies(not(X1),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_12, c_0_16])).
% 11.55/1.97 cnf(c_0_22, negated_conjecture, (~is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c))))), c_0_17).
% 11.55/1.97 cnf(c_0_23, plain, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X4,X2),X5)))|~is_a_theorem(implies(implies(X4,implies(X1,X3)),X5))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 11.55/1.97 cnf(c_0_24, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_20, c_0_21])).
% 11.55/1.97 cnf(c_0_25, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])]), ['proof']).
% 11.55/1.97 % SZS output end Proof
% 11.55/1.97 % User time : 1.314 s
% 11.55/1.97 % System time : 0.059 s
% 11.55/1.97 % Total time : 1.372 s
% 11.55/1.97 % User time : 7.053 s
% 11.55/1.97 % System time : 0.159 s
% 11.55/1.97 % Total time : 7.212 s
% 11.55/1.97
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