%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL045-1 : 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 11:20:14 AM UTC 2026
% Result : Unsatisfiable 25.78s 4.26s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL045-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.33 % Computer : n015.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sat Sep 5 03:43:27 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.11/0.46 start to proof:theBenchmark.p
% 25.78/4.26 % Version : CSI_E---1.1
% 25.78/4.26 % Problem : theBenchmark.p
% 25.78/4.26 % Proof found!
% 25.78/4.26 # SZS status Unsatisfiable
% 25.78/4.26 % SZS output start Proof
% 25.78/4.26 cnf(condensed_detachment, axiom, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', condensed_detachment)).
% 25.78/4.26 cnf(cn_22, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_22)).
% 25.78/4.26 cnf(cn_21, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_21)).
% 25.78/4.26 cnf(cn_54, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X2),X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_54)).
% 25.78/4.26 cnf(prove_cn_46, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(not(b),not(a))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_cn_46)).
% 25.78/4.26 cnf(cn_18, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_18)).
% 25.78/4.26 cnf(cn_3, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cn_3)).
% 25.78/4.26 cnf(c_0_7, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 25.78/4.26 cnf(c_0_8, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_7).
% 25.78/4.26 cnf(c_0_9, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))), cn_22).
% 25.78/4.26 cnf(c_0_10, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))))), cn_21).
% 25.78/4.26 cnf(c_0_11, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_8, c_0_9])).
% 25.78/4.26 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_8, c_0_10])).
% 25.78/4.26 cnf(c_0_13, axiom, (is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X2),X2)))), cn_54).
% 25.78/4.26 cnf(c_0_14, 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_8, c_0_11])).
% 25.78/4.26 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])).
% 25.78/4.26 cnf(c_0_16, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(not(b),not(a))))), inference(fof_simplification,[status(thm)],[prove_cn_46])).
% 25.78/4.26 cnf(c_0_17, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(implies(X1,X4),X3))|~is_a_theorem(implies(X2,X4))), inference(spm,[status(thm)],[c_0_14, c_0_11])).
% 25.78/4.26 cnf(c_0_18, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(X1),X2))), inference(spm,[status(thm)],[c_0_8, c_0_15])).
% 25.78/4.26 cnf(c_0_19, negated_conjecture, (~is_a_theorem(implies(implies(a,b),implies(not(b),not(a))))), c_0_16).
% 25.78/4.26 cnf(c_0_20, plain, (is_a_theorem(implies(implies(X1,X2),X3))|~is_a_theorem(implies(not(X1),X3))|~is_a_theorem(implies(X2,X3))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 25.78/4.26 cnf(c_0_21, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), cn_18).
% 25.78/4.26 cnf(c_0_22, axiom, (is_a_theorem(implies(X1,implies(not(X1),X2)))), cn_3).
% 25.78/4.26 cnf(c_0_23, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_21]), c_0_22])]), ['proof']).
% 25.78/4.26 % SZS output end Proof
% 25.78/4.26 % User time : 3.517 s
% 25.78/4.26 % System time : 0.144 s
% 25.78/4.26 % Total time : 3.661 s
% 25.78/4.26 % User time : 17.816 s
% 25.78/4.26 % System time : 0.499 s
% 25.78/4.26 % Total time : 18.314 s
% 25.78/4.26
%------------------------------------------------------------------------------