%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL036-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n026.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 11:20:13 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL036-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.33 % Computer : n026.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 06:40:10 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.12/0.45 start to proof:theBenchmark.p
% 0.24/0.55 % Version : CSI_E---1.1
% 0.24/0.55 % Problem : theBenchmark.p
% 0.24/0.55 % Proof found!
% 0.24/0.55 # SZS status Unsatisfiable
% 0.24/0.55 % SZS output start Proof
% 0.24/0.55 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)).
% 0.24/0.55 cnf(c0_CAMeredith, axiom, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5),implies(implies(X5,X1),implies(X3,X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', c0_CAMeredith)).
% 0.24/0.55 cnf(prove_c0_5, negated_conjecture, (~is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_c0_5)).
% 0.24/0.55 cnf(c_0_3, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 0.24/0.55 cnf(c_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_3).
% 0.24/0.55 cnf(c_0_5, axiom, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5),implies(implies(X5,X1),implies(X3,X1))))), c0_CAMeredith).
% 0.24/0.55 cnf(c_0_6, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(implies(implies(implies(X2,X4),implies(X3,falsehood)),X5),X1))), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 0.24/0.55 cnf(c_0_7, plain, (is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))), inference(spm,[status(thm)],[c_0_6, c_0_5])).
% 0.24/0.55 cnf(c_0_8, plain, (is_a_theorem(implies(implies(implies(X1,implies(falsehood,X2)),X3),implies(X4,X3)))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 0.24/0.55 cnf(c_0_9, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,implies(falsehood,X4)),X2))), inference(spm,[status(thm)],[c_0_4, c_0_8])).
% 0.24/0.55 cnf(c_0_10, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(falsehood,X3)))), inference(spm,[status(thm)],[c_0_6, c_0_8])).
% 0.24/0.55 cnf(c_0_11, plain, (is_a_theorem(implies(X1,implies(implies(implies(falsehood,X2),X3),implies(X4,X3))))), inference(spm,[status(thm)],[c_0_9, c_0_5])).
% 0.24/0.55 cnf(c_0_12, plain, (is_a_theorem(implies(X1,implies(X2,implies(falsehood,X3))))), inference(spm,[status(thm)],[c_0_9, c_0_7])).
% 0.24/0.55 cnf(c_0_13, plain, (is_a_theorem(implies(falsehood,X1))|~is_a_theorem(implies(implies(X2,X3),X1))), inference(spm,[status(thm)],[c_0_4, c_0_10])).
% 0.24/0.55 cnf(c_0_14, plain, (is_a_theorem(implies(implies(implies(implies(implies(falsehood,X1),X2),implies(X3,X2)),X4),implies(X5,X4)))), inference(spm,[status(thm)],[c_0_6, c_0_11])).
% 0.24/0.55 cnf(c_0_15, plain, (is_a_theorem(implies(X1,implies(falsehood,X2)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_12])).
% 0.24/0.55 cnf(c_0_16, plain, (is_a_theorem(implies(falsehood,implies(X1,X2)))), inference(spm,[status(thm)],[c_0_13, c_0_8])).
% 0.24/0.55 cnf(c_0_17, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(implies(falsehood,X3),X4),implies(X5,X4)),X2))), inference(spm,[status(thm)],[c_0_4, c_0_14])).
% 0.24/0.55 cnf(c_0_18, plain, (is_a_theorem(implies(X1,implies(falsehood,X2)))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 0.24/0.55 cnf(c_0_19, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3)))))), inference(spm,[status(thm)],[c_0_17, c_0_7])).
% 0.24/0.55 cnf(c_0_20, plain, (is_a_theorem(implies(falsehood,X1))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_4, c_0_18])).
% 0.24/0.55 cnf(c_0_21, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_19])).
% 0.24/0.55 cnf(c_0_22, plain, (is_a_theorem(implies(falsehood,X1))), inference(spm,[status(thm)],[c_0_20, c_0_16])).
% 0.24/0.55 cnf(c_0_23, plain, (is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 0.24/0.55 cnf(c_0_24, plain, (is_a_theorem(implies(X1,implies(X2,X1)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_23])).
% 0.24/0.55 cnf(c_0_25, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_24, c_0_22])).
% 0.24/0.55 cnf(c_0_26, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,X3)))), inference(spm,[status(thm)],[c_0_6, c_0_23])).
% 0.24/0.55 cnf(c_0_27, plain, (is_a_theorem(implies(implies(implies(X1,implies(implies(implies(X2,X3),implies(X4,falsehood)),X5)),X2),implies(X4,X2)))), inference(spm,[status(thm)],[c_0_6, c_0_25])).
% 0.24/0.55 cnf(c_0_28, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,implies(X4,X3)),X2))), inference(spm,[status(thm)],[c_0_4, c_0_26])).
% 0.24/0.55 cnf(c_0_29, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X2,X4),implies(X1,falsehood)),X3)))), inference(spm,[status(thm)],[c_0_6, c_0_27])).
% 0.24/0.55 cnf(c_0_30, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X4,falsehood)),implies(X5,implies(X4,X2)))))), inference(spm,[status(thm)],[c_0_28, c_0_29])).
% 0.24/0.55 cnf(c_0_31, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1))))|~is_a_theorem(X5)), inference(spm,[status(thm)],[c_0_4, c_0_30])).
% 0.24/0.55 cnf(c_0_32, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X4,implies(X3,X1))))), inference(spm,[status(thm)],[c_0_31, c_0_22])).
% 0.24/0.55 cnf(c_0_33, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(X3,X4),implies(X2,falsehood)))), inference(spm,[status(thm)],[c_0_4, c_0_32])).
% 0.24/0.55 cnf(c_0_34, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X4,falsehood)),implies(X4,X2))))), inference(spm,[status(thm)],[c_0_33, c_0_29])).
% 0.24/0.55 cnf(c_0_35, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1)))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_4, c_0_34])).
% 0.24/0.55 cnf(c_0_36, plain, (is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_35, c_0_22])).
% 0.24/0.55 cnf(c_0_37, plain, (is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)))), inference(spm,[status(thm)],[c_0_6, c_0_36])).
% 0.24/0.55 cnf(c_0_38, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))), inference(spm,[status(thm)],[c_0_6, c_0_37])).
% 0.24/0.55 cnf(c_0_39, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_4, c_0_38])).
% 0.24/0.55 cnf(c_0_40, plain, (is_a_theorem(implies(implies(X1,falsehood),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_39, c_0_36])).
% 0.24/0.55 cnf(c_0_41, plain, (is_a_theorem(implies(X1,implies(X2,X2)))), inference(spm,[status(thm)],[c_0_33, c_0_40])).
% 0.24/0.55 cnf(c_0_42, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2)))), inference(spm,[status(thm)],[c_0_6, c_0_41])).
% 0.24/0.55 cnf(c_0_43, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X3),X2))), inference(spm,[status(thm)],[c_0_4, c_0_42])).
% 0.24/0.55 cnf(c_0_44, plain, (is_a_theorem(implies(implies(implies(implies(X1,falsehood),X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_6, c_0_38])).
% 0.24/0.55 cnf(c_0_45, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,falsehood),X3))))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
% 0.24/0.55 cnf(c_0_46, plain, (is_a_theorem(implies(X1,implies(implies(X1,falsehood),X2)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_45])).
% 0.24/0.55 cnf(c_0_47, plain, (is_a_theorem(implies(X1,implies(implies(X1,falsehood),X2)))), inference(spm,[status(thm)],[c_0_46, c_0_22])).
% 0.24/0.55 cnf(c_0_48, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X3),falsehood),X2)))), inference(spm,[status(thm)],[c_0_33, c_0_47])).
% 0.24/0.55 cnf(c_0_49, negated_conjecture, (~is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a))), inference(fof_simplification,[status(thm)],[prove_c0_5])).
% 0.24/0.55 cnf(c_0_50, plain, (is_a_theorem(implies(implies(implies(X1,X2),falsehood),X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_4, c_0_48])).
% 0.24/0.55 cnf(c_0_51, negated_conjecture, (~is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a))), c_0_49).
% 0.24/0.55 cnf(c_0_52, plain, (is_a_theorem(implies(implies(implies(X1,X2),falsehood),X1))), inference(spm,[status(thm)],[c_0_50, c_0_22])).
% 0.24/0.55 cnf(c_0_53, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52])]), ['proof']).
% 0.24/0.55 % SZS output end Proof
% 0.24/0.55 % User time : 0.059 s
% 0.24/0.55 % System time : 0.007 s
% 0.24/0.55 % Total time : 0.066 s
% 0.24/0.55 % User time : 0.060 s
% 0.24/0.55 % System time : 0.011 s
% 0.24/0.55 % Total time : 0.071 s
% 0.24/0.55
%------------------------------------------------------------------------------