%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL109-4 : 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 2.13s 2.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL109-4 : 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 : Fri Sep 4 13:44:41 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.12/0.45 start to proof:theBenchmark.p
% 2.13/2.38 % Version : CSI_E---1.1
% 2.13/2.38 % Problem : theBenchmark.p
% 2.13/2.38 % Proof found!
% 2.13/2.38 # SZS status Unsatisfiable
% 2.13/2.38 % SZS output start Proof
% 2.13/2.38 cnf(wajsberg_2, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax', wajsberg_2)).
% 2.13/2.38 cnf(wajsberg_1, axiom, (implies(truth,X1)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax', wajsberg_1)).
% 2.13/2.38 cnf(wajsberg_3, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax', wajsberg_3)).
% 2.13/2.38 cnf(wajsberg_4, axiom, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax', wajsberg_4)).
% 2.13/2.38 cnf(prove_mv_4, negated_conjecture, (big_V(implies(x,y),implies(y,x))!=truth), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_mv_4)).
% 2.13/2.38 cnf(big_V_definition, axiom, (big_V(X1,X2)=implies(implies(X1,X2),X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax', big_V_definition)).
% 2.13/2.38 cnf(c_0_6, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), wajsberg_2).
% 2.13/2.38 cnf(c_0_7, axiom, (implies(truth,X1)=X1), wajsberg_1).
% 2.13/2.38 cnf(c_0_8, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), wajsberg_3).
% 2.13/2.38 cnf(c_0_9, plain, (implies(X1,implies(implies(X1,X2),X2))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_7]), c_0_7])).
% 2.13/2.38 cnf(c_0_10, plain, (implies(implies(X1,truth),truth)=implies(X1,X1)), inference(spm,[status(thm)],[c_0_8, c_0_7])).
% 2.13/2.38 cnf(c_0_11, plain, (implies(X1,X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_9]), c_0_7])).
% 2.13/2.38 cnf(c_0_12, plain, (implies(implies(X1,truth),truth)=truth), inference(rw,[status(thm)],[c_0_10, c_0_11])).
% 2.13/2.38 cnf(c_0_13, plain, (implies(X1,truth)=truth), inference(spm,[status(thm)],[c_0_9, c_0_12])).
% 2.13/2.38 cnf(c_0_14, plain, (implies(X1,implies(X2,X1))=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_13]), c_0_7]), c_0_7])).
% 2.13/2.38 cnf(c_0_15, axiom, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth), wajsberg_4).
% 2.13/2.38 cnf(c_0_16, plain, (implies(implies(implies(X1,X2),X2),X2)=implies(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_14]), c_0_7])).
% 2.13/2.38 cnf(c_0_17, plain, (implies(implies(not(X1),not(truth)),X1)=truth), inference(spm,[status(thm)],[c_0_15, c_0_7])).
% 2.13/2.38 cnf(c_0_18, plain, (implies(implies(implies(X1,X2),X3),implies(X2,X3))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_14]), c_0_7])).
% 2.13/2.38 cnf(c_0_19, plain, (implies(implies(implies(X1,X2),X2),X1)=implies(X2,X1)), inference(spm,[status(thm)],[c_0_16, c_0_8])).
% 2.13/2.38 cnf(c_0_20, plain, (implies(not(not(truth)),not(truth))=not(truth)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_7])).
% 2.13/2.38 cnf(c_0_21, plain, (implies(not(truth),X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_17]), c_0_7])).
% 2.13/2.38 cnf(c_0_22, plain, (implies(not(truth),not(not(truth)))=not(not(truth))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_11]), c_0_7])).
% 2.13/2.38 cnf(c_0_23, plain, (implies(implies(X1,not(truth)),not(truth))=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_21]), c_0_7])).
% 2.13/2.38 cnf(c_0_24, plain, (not(not(truth))=truth), inference(rw,[status(thm)],[c_0_22, c_0_21])).
% 2.13/2.38 cnf(c_0_25, plain, (implies(not(implies(X1,not(truth))),X1)=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_23]), c_0_24]), c_0_7])).
% 2.13/2.38 cnf(c_0_26, plain, (implies(X1,implies(not(X1),not(truth)))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_25]), c_0_7])).
% 2.13/2.38 cnf(c_0_27, plain, (implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_6]), c_0_7])).
% 2.13/2.38 cnf(c_0_28, plain, (implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_9]), c_0_7])).
% 2.13/2.38 cnf(c_0_29, plain, (implies(not(X1),not(truth))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_26]), c_0_7]), c_0_17]), c_0_7])).
% 2.13/2.38 cnf(c_0_30, plain, (implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_7])).
% 2.13/2.38 cnf(c_0_31, plain, (implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X3,X1)),implies(X3,X1))=implies(implies(X1,X2),implies(X3,X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_6]), c_0_7])).
% 2.13/2.38 cnf(c_0_32, plain, (implies(X1,not(truth))=not(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_29]), c_0_21]), c_0_7])).
% 2.13/2.38 cnf(c_0_33, plain, (implies(implies(implies(X1,implies(X2,X3)),X3),implies(implies(X3,X2),X2))=truth), inference(spm,[status(thm)],[c_0_18, c_0_8])).
% 2.13/2.38 cnf(c_0_34, plain, (implies(X1,implies(X2,X3))=implies(X2,implies(X1,X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_30]), c_0_7]), c_0_30]), c_0_7])).
% 2.13/2.38 cnf(c_0_35, plain, (implies(not(X1),not(X2))=implies(X2,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_32]), c_0_15]), c_0_7]), c_0_32])).
% 2.13/2.38 cnf(c_0_36, plain, (not(not(X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_32]), c_0_32])).
% 2.13/2.38 cnf(c_0_37, plain, (implies(implies(X1,X2),implies(implies(implies(X3,implies(X2,X1)),X1),X2))=truth), inference(rw,[status(thm)],[c_0_33, c_0_34])).
% 2.13/2.38 cnf(c_0_38, plain, (implies(X1,implies(implies(implies(X2,X1),X3),X3))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_9]), c_0_7])).
% 2.13/2.38 cnf(c_0_39, plain, (implies(X1,not(X2))=implies(X2,not(X1))), inference(spm,[status(thm)],[c_0_35, c_0_36])).
% 2.13/2.38 cnf(c_0_40, plain, (implies(implies(implies(X1,implies(X2,X3)),X3),X2)=implies(X3,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_37]), c_0_7]), c_0_34]), c_0_38]), c_0_7])).
% 2.13/2.38 cnf(c_0_41, plain, (implies(implies(implies(X1,X2),X2),implies(X3,X1))=implies(X3,implies(X2,X1))), inference(spm,[status(thm)],[c_0_34, c_0_19])).
% 2.13/2.38 cnf(c_0_42, plain, (implies(not(X1),X2)=implies(not(X2),X1)), inference(spm,[status(thm)],[c_0_35, c_0_36])).
% 2.13/2.38 cnf(c_0_43, plain, (implies(X1,not(implies(X1,X2)))=implies(X2,not(implies(X2,X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_35]), c_0_35]), c_0_39]), c_0_39])).
% 2.13/2.38 cnf(c_0_44, negated_conjecture, (big_V(implies(x,y),implies(y,x))!=truth), prove_mv_4).
% 2.13/2.38 cnf(c_0_45, axiom, (big_V(X1,X2)=implies(implies(X1,X2),X2)), big_V_definition).
% 2.13/2.38 cnf(c_0_46, plain, (implies(implies(implies(X1,implies(X2,X3)),X3),X1)=implies(X3,X1)), inference(spm,[status(thm)],[c_0_40, c_0_41])).
% 2.13/2.38 cnf(c_0_47, plain, (implies(not(implies(X1,X2)),X3)=implies(X1,implies(not(X3),X2))), inference(spm,[status(thm)],[c_0_42, c_0_34])).
% 2.13/2.38 cnf(c_0_48, plain, (implies(implies(X1,X2),not(implies(implies(X2,X1),X1)))=not(X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_19]), c_0_9]), c_0_32]), c_0_39])).
% 2.13/2.38 cnf(c_0_49, negated_conjecture, (implies(implies(implies(x,y),implies(y,x)),implies(y,x))!=truth), inference(rw,[status(thm)],[c_0_44, c_0_45])).
% 2.13/2.38 cnf(c_0_50, plain, (implies(implies(implies(X1,implies(implies(X2,X3),X3)),X2),X1)=implies(X2,X1)), inference(spm,[status(thm)],[c_0_46, c_0_8])).
% 2.13/2.38 cnf(c_0_51, plain, (implies(implies(X1,X2),implies(implies(implies(X2,X1),X1),X3))=implies(X2,X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_36]), c_0_35])).
% 2.13/2.38 cnf(c_0_52, negated_conjecture, (implies(y,implies(implies(y,implies(implies(x,y),x)),x))!=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_34]), c_0_34])).
% 2.13/2.38 cnf(c_0_53, plain, (implies(X1,implies(implies(X2,X1),X2))=implies(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_11]), c_0_7]), c_0_34])).
% 2.13/2.38 cnf(c_0_54, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_53]), c_0_9])]), ['proof']).
% 2.13/2.38 % SZS output end Proof
% 2.13/2.38 % User time : 1.839 s
% 2.13/2.38 % System time : 0.072 s
% 2.13/2.38 % Total time : 1.911 s
% 2.13/2.38
%------------------------------------------------------------------------------