%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL026-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n027.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 11:20:12 AM UTC 2026
% Result : Unsatisfiable 7.18s 1.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL026-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.10/0.36 % Computer : n027.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 12:36:13 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.23/0.47 start to proof:theBenchmark.p
% 7.18/1.53 % Version : CSI_E---1.1
% 7.18/1.53 % Problem : theBenchmark.p
% 7.18/1.53 % Proof found!
% 7.18/1.53 # SZS status Unsatisfiable
% 7.18/1.53 % SZS output start Proof
% 7.18/1.53 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)).
% 7.18/1.53 cnf(c0_6, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', c0_6)).
% 7.18/1.53 cnf(c0_2, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', c0_2)).
% 7.18/1.53 cnf(c0_5, axiom, (is_a_theorem(implies(implies(implies(X1,falsehood),falsehood),X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', c0_5)).
% 7.18/1.53 cnf(prove_c0_3, negated_conjecture, (~is_a_theorem(implies(implies(implies(a,b),a),a))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_c0_3)).
% 7.18/1.53 cnf(c_0_5, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(fof_simplification,[status(thm)],[condensed_detachment])).
% 7.18/1.53 cnf(c_0_6, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), c_0_5).
% 7.18/1.53 cnf(c_0_7, axiom, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))), c0_6).
% 7.18/1.53 cnf(c_0_8, plain, (is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))|~is_a_theorem(implies(X1,implies(X2,X3)))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 7.18/1.53 cnf(c_0_9, axiom, (is_a_theorem(implies(X1,implies(X2,X1)))), c0_2).
% 7.18/1.53 cnf(c_0_10, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_6, c_0_8])).
% 7.18/1.53 cnf(c_0_11, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_6, c_0_9])).
% 7.18/1.53 cnf(c_0_12, 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_10, c_0_11])).
% 7.18/1.53 cnf(c_0_13, plain, (is_a_theorem(implies(X1,X1))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_10, c_0_9])).
% 7.18/1.53 cnf(c_0_14, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X3,X1),X2))), inference(spm,[status(thm)],[c_0_12, c_0_9])).
% 7.18/1.53 cnf(c_0_15, plain, (is_a_theorem(implies(X1,X1))), inference(spm,[status(thm)],[c_0_13, c_0_9])).
% 7.18/1.53 cnf(c_0_16, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,implies(X1,X3)))), inference(spm,[status(thm)],[c_0_14, c_0_8])).
% 7.18/1.53 cnf(c_0_17, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(implies(X1,X2),X1))), inference(spm,[status(thm)],[c_0_10, c_0_15])).
% 7.18/1.53 cnf(c_0_18, plain, (is_a_theorem(implies(X1,implies(X2,X2)))), inference(spm,[status(thm)],[c_0_16, c_0_9])).
% 7.18/1.53 cnf(c_0_19, plain, (is_a_theorem(implies(implies(implies(X1,X1),X2),X2))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 7.18/1.53 cnf(c_0_20, plain, (is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_16, c_0_15])).
% 7.18/1.53 cnf(c_0_21, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_16, c_0_11])).
% 7.18/1.53 cnf(c_0_22, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X2),X1))), inference(spm,[status(thm)],[c_0_6, c_0_19])).
% 7.18/1.53 cnf(c_0_23, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(implies(X1,X3),X3),X2))), inference(spm,[status(thm)],[c_0_12, c_0_20])).
% 7.18/1.53 cnf(c_0_24, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))), inference(spm,[status(thm)],[c_0_14, c_0_7])).
% 7.18/1.53 cnf(c_0_25, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(X4,X1),X3))), inference(spm,[status(thm)],[c_0_14, c_0_21])).
% 7.18/1.53 cnf(c_0_26, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X2),X2)))), inference(spm,[status(thm)],[c_0_22, c_0_7])).
% 7.18/1.53 cnf(c_0_27, plain, (is_a_theorem(implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3))))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 7.18/1.53 cnf(c_0_28, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3))))), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 7.18/1.53 cnf(c_0_29, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,X1),X3),X3)))), inference(spm,[status(thm)],[c_0_14, c_0_20])).
% 7.18/1.53 cnf(c_0_30, plain, (is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))))), inference(spm,[status(thm)],[c_0_16, c_0_27])).
% 7.18/1.53 cnf(c_0_31, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3))))), inference(spm,[status(thm)],[c_0_16, c_0_28])).
% 7.18/1.53 cnf(c_0_32, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(X3,X1),X2)))), inference(spm,[status(thm)],[c_0_10, c_0_29])).
% 7.18/1.53 cnf(c_0_33, plain, (is_a_theorem(implies(X1,implies(X2,implies(implies(X1,implies(X2,X3)),X3))))), inference(spm,[status(thm)],[c_0_23, c_0_30])).
% 7.18/1.53 cnf(c_0_34, axiom, (is_a_theorem(implies(implies(implies(X1,falsehood),falsehood),X1))), c0_5).
% 7.18/1.53 cnf(c_0_35, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),X3)))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_10, c_0_31])).
% 7.18/1.53 cnf(c_0_36, plain, (is_a_theorem(implies(X1,implies(implies(X1,implies(implies(X2,X1),X3)),X3)))), inference(spm,[status(thm)],[c_0_32, c_0_33])).
% 7.18/1.53 cnf(c_0_37, plain, (is_a_theorem(implies(falsehood,X1))), inference(spm,[status(thm)],[c_0_14, c_0_34])).
% 7.18/1.53 cnf(c_0_38, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),X3)))|~is_a_theorem(implies(implies(X4,X1),X2))), inference(spm,[status(thm)],[c_0_14, c_0_35])).
% 7.18/1.53 cnf(c_0_39, plain, (is_a_theorem(implies(implies(X1,implies(implies(X2,X1),X3)),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_16, c_0_36])).
% 7.18/1.53 cnf(c_0_40, plain, (is_a_theorem(implies(X1,implies(falsehood,X2)))), inference(spm,[status(thm)],[c_0_16, c_0_37])).
% 7.18/1.53 cnf(c_0_41, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X2,X3),X4),X4)))), inference(spm,[status(thm)],[c_0_38, c_0_39])).
% 7.18/1.53 cnf(c_0_42, plain, (is_a_theorem(implies(implies(implies(falsehood,X1),X2),X2))), inference(spm,[status(thm)],[c_0_17, c_0_40])).
% 7.18/1.53 cnf(c_0_43, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X1,falsehood),falsehood))), inference(spm,[status(thm)],[c_0_6, c_0_34])).
% 7.18/1.53 cnf(c_0_44, plain, (is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X1),X2),X2))), inference(spm,[status(thm)],[c_0_17, c_0_41])).
% 7.18/1.53 cnf(c_0_45, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(falsehood,X2),X1))), inference(spm,[status(thm)],[c_0_6, c_0_42])).
% 7.18/1.53 cnf(c_0_46, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_12, c_0_11])).
% 7.18/1.53 cnf(c_0_47, plain, (is_a_theorem(implies(implies(implies(X1,falsehood),X1),X1))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
% 7.18/1.53 cnf(c_0_48, plain, (is_a_theorem(implies(implies(X1,falsehood),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_45, c_0_24])).
% 7.18/1.53 cnf(c_0_49, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(X2,falsehood),X2))), inference(spm,[status(thm)],[c_0_46, c_0_47])).
% 7.18/1.53 cnf(c_0_50, plain, (is_a_theorem(implies(implies(X1,falsehood),X2))|~is_a_theorem(implies(implies(X1,X3),X2))), inference(spm,[status(thm)],[c_0_12, c_0_48])).
% 7.18/1.53 cnf(c_0_51, plain, (is_a_theorem(implies(X1,implies(implies(implies(X2,falsehood),X2),X2)))), inference(spm,[status(thm)],[c_0_49, c_0_41])).
% 7.18/1.53 cnf(c_0_52, plain, (is_a_theorem(implies(implies(X1,falsehood),implies(implies(implies(X1,X2),X3),X3)))), inference(spm,[status(thm)],[c_0_50, c_0_20])).
% 7.18/1.53 cnf(c_0_53, negated_conjecture, (~is_a_theorem(implies(implies(implies(a,b),a),a))), inference(fof_simplification,[status(thm)],[prove_c0_3])).
% 7.18/1.53 cnf(c_0_54, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(implies(X2,falsehood),X2)))), inference(spm,[status(thm)],[c_0_10, c_0_51])).
% 7.18/1.53 cnf(c_0_55, plain, (is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X1,falsehood),X3)))), inference(spm,[status(thm)],[c_0_16, c_0_52])).
% 7.18/1.53 cnf(c_0_56, negated_conjecture, (~is_a_theorem(implies(implies(implies(a,b),a),a))), c_0_53).
% 7.18/1.53 cnf(c_0_57, plain, (is_a_theorem(implies(implies(implies(X1,X2),X1),X1))), inference(spm,[status(thm)],[c_0_54, c_0_55])).
% 7.18/1.53 cnf(c_0_58, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])]), ['proof']).
% 7.18/1.53 % SZS output end Proof
% 7.18/1.53 % User time : 0.953 s
% 7.18/1.53 % System time : 0.048 s
% 7.18/1.53 % Total time : 1.001 s
% 7.18/1.53 % User time : 4.846 s
% 7.18/1.53 % System time : 0.136 s
% 7.18/1.53 % Total time : 4.982 s
% 7.18/1.53
%------------------------------------------------------------------------------