%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL150-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n029.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 11:20:24 AM UTC 2026
% Result : Unsatisfiable 149.65s 162.22s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL150-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.35 % Computer : n029.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 4 12:39:55 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 149.65/162.22 % Version : CSI_E---1.1
% 149.65/162.22 % Problem : theBenchmark.p
% 149.65/162.22 % Proof found!
% 149.65/162.22 # SZS status Unsatisfiable
% 149.65/162.22 % SZS output start Proof
% 149.65/162.22 cnf(partial_order_definition2, axiom, (ordered(X1,X2)|implies(X1,X2)!=truth), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax', partial_order_definition2)).
% 149.65/162.22 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)).
% 149.65/162.22 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)).
% 149.65/162.22 cnf(wajsberg_1, axiom, (implies(truth,X1)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax', wajsberg_1)).
% 149.65/162.22 cnf(partial_order_definition1, axiom, (implies(X1,X2)=truth|~ordered(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax', partial_order_definition1)).
% 149.65/162.22 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)).
% 149.65/162.22 cnf(big_hat_definition, axiom, (big_hat(X1,X2)=not(big_V(not(X1),not(X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax', big_hat_definition)).
% 149.65/162.22 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)).
% 149.65/162.22 cnf(prove_wajsberg_theorem, negated_conjecture, (implies(big_hat(x,y),z)!=big_V(implies(x,z),implies(y,z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_wajsberg_theorem)).
% 149.65/162.22 cnf(c_0_9, axiom, (ordered(X1,X2)|implies(X1,X2)!=truth), partial_order_definition2).
% 149.65/162.22 cnf(c_0_10, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), wajsberg_3).
% 149.65/162.22 cnf(c_0_11, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), wajsberg_2).
% 149.65/162.22 cnf(c_0_12, axiom, (implies(truth,X1)=X1), wajsberg_1).
% 149.65/162.22 cnf(c_0_13, plain, (ordered(implies(X1,X2),X2)|implies(implies(X2,X1),X1)!=truth), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 149.65/162.22 cnf(c_0_14, plain, (implies(X1,implies(implies(X1,X2),X2))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_12])).
% 149.65/162.22 cnf(c_0_15, plain, (ordered(implies(X1,truth),truth)|implies(X1,X1)!=truth), inference(spm,[status(thm)],[c_0_13, c_0_12])).
% 149.65/162.22 cnf(c_0_16, plain, (implies(X1,X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_14]), c_0_12])).
% 149.65/162.22 cnf(c_0_17, axiom, (implies(X1,X2)=truth|~ordered(X1,X2)), partial_order_definition1).
% 149.65/162.22 cnf(c_0_18, plain, (ordered(implies(X1,truth),truth)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 149.65/162.22 cnf(c_0_19, plain, (implies(implies(X1,truth),truth)=truth), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 149.65/162.22 cnf(c_0_20, plain, (implies(X1,truth)=truth), inference(spm,[status(thm)],[c_0_14, c_0_19])).
% 149.65/162.22 cnf(c_0_21, plain, (implies(X1,implies(X2,X1))=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_20]), c_0_12]), c_0_12])).
% 149.65/162.22 cnf(c_0_22, axiom, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth), wajsberg_4).
% 149.65/162.22 cnf(c_0_23, plain, (implies(implies(implies(X1,X2),X2),X2)=implies(X1,X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_21]), c_0_12])).
% 149.65/162.22 cnf(c_0_24, plain, (implies(implies(not(X1),not(truth)),X1)=truth), inference(spm,[status(thm)],[c_0_22, c_0_12])).
% 149.65/162.22 cnf(c_0_25, plain, (implies(implies(implies(X1,X2),X2),X1)=implies(X2,X1)), inference(spm,[status(thm)],[c_0_23, c_0_10])).
% 149.65/162.22 cnf(c_0_26, plain, (implies(not(not(truth)),not(truth))=not(truth)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_12])).
% 149.65/162.22 cnf(c_0_27, plain, (implies(implies(implies(X1,X2),X3),implies(X2,X3))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_21]), c_0_12])).
% 149.65/162.22 cnf(c_0_28, plain, (implies(not(truth),not(not(truth)))=not(not(truth))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_16]), c_0_12])).
% 149.65/162.22 cnf(c_0_29, plain, (implies(not(truth),X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_24]), c_0_12])).
% 149.65/162.22 cnf(c_0_30, plain, (implies(implies(not(X1),not(implies(X2,X1))),implies(implies(X1,X2),X2))=truth), inference(spm,[status(thm)],[c_0_22, c_0_10])).
% 149.65/162.22 cnf(c_0_31, plain, (not(not(truth))=truth), inference(rw,[status(thm)],[c_0_28, c_0_29])).
% 149.65/162.22 cnf(c_0_32, plain, (implies(not(implies(X1,not(truth))),X1)=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_12]), c_0_29]), c_0_12])).
% 149.65/162.22 cnf(c_0_33, plain, (implies(X1,implies(not(X1),not(truth)))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_32]), c_0_12])).
% 149.65/162.22 cnf(c_0_34, 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_10, c_0_33]), c_0_12]), c_0_24]), c_0_12])).
% 149.65/162.22 cnf(c_0_35, plain, (implies(X1,not(truth))=not(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_34]), c_0_29]), c_0_12])).
% 149.65/162.22 cnf(c_0_36, plain, (implies(implies(X1,X2),implies(not(X2),not(X1)))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_35]), c_0_35])).
% 149.65/162.22 cnf(c_0_37, plain, (implies(implies(X1,not(truth)),not(truth))=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_29]), c_0_12])).
% 149.65/162.22 cnf(c_0_38, 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_11, c_0_11]), c_0_12])).
% 149.65/162.22 cnf(c_0_39, plain, (implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_14]), c_0_12])).
% 149.65/162.22 cnf(c_0_40, plain, (implies(not(X1),not(X2))=implies(X2,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_36]), c_0_12]), c_0_22]), c_0_12])).
% 149.65/162.22 cnf(c_0_41, plain, (not(not(X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_35]), c_0_35])).
% 149.65/162.22 cnf(c_0_42, plain, (implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_12])).
% 149.65/162.22 cnf(c_0_43, plain, (implies(not(X1),implies(X1,X2))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_22]), c_0_12])).
% 149.65/162.22 cnf(c_0_44, plain, (implies(not(X1),X2)=implies(not(X2),X1)), inference(spm,[status(thm)],[c_0_40, c_0_41])).
% 149.65/162.22 cnf(c_0_45, 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_10, c_0_42]), c_0_12]), c_0_42]), c_0_12])).
% 149.65/162.22 cnf(c_0_46, plain, (implies(X1,not(X2))=implies(X2,not(X1))), inference(spm,[status(thm)],[c_0_40, c_0_41])).
% 149.65/162.22 cnf(c_0_47, plain, (implies(not(implies(X1,X2)),not(X2))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_35]), c_0_35])).
% 149.65/162.22 cnf(c_0_48, plain, (implies(X1,implies(not(X1),X2))=truth), inference(spm,[status(thm)],[c_0_43, c_0_41])).
% 149.65/162.22 cnf(c_0_49, plain, (implies(not(implies(X1,X2)),X3)=implies(X1,implies(not(X3),X2))), inference(spm,[status(thm)],[c_0_44, c_0_45])).
% 149.65/162.22 cnf(c_0_50, plain, (implies(X1,not(implies(X2,not(implies(X2,X1)))))=implies(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_40]), c_0_40]), c_0_46]), c_0_46])).
% 149.65/162.22 cnf(c_0_51, plain, (implies(not(implies(X1,not(X2))),X2)=truth), inference(spm,[status(thm)],[c_0_47, c_0_41])).
% 149.65/162.22 cnf(c_0_52, plain, (implies(implies(implies(not(X1),X2),X1),X1)=implies(not(X1),X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_48]), c_0_12])).
% 149.65/162.22 cnf(c_0_53, plain, (implies(X1,implies(implies(X2,not(implies(X2,X1))),X3))=implies(X1,implies(not(X3),X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_49]), c_0_40])).
% 149.65/162.22 cnf(c_0_54, plain, (implies(not(implies(X1,X2)),X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_41])).
% 149.65/162.22 cnf(c_0_55, 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_53, c_0_10]), c_0_54]), c_0_12]), c_0_41])).
% 149.65/162.22 cnf(c_0_56, plain, (implies(not(X1),implies(X2,not(X3)))=implies(X2,implies(X3,X1))), inference(spm,[status(thm)],[c_0_45, c_0_40])).
% 149.65/162.22 cnf(c_0_57, plain, (implies(X1,implies(X2,implies(implies(X3,X1),X3)))=implies(X2,implies(X1,X3))), inference(spm,[status(thm)],[c_0_45, c_0_55])).
% 149.65/162.22 cnf(c_0_58, plain, (implies(implies(implies(X1,X2),X2),implies(X3,X1))=implies(X3,implies(X2,X1))), inference(spm,[status(thm)],[c_0_45, c_0_25])).
% 149.65/162.22 cnf(c_0_59, plain, (implies(not(X1),implies(X2,implies(X3,not(X4))))=implies(X2,implies(X3,implies(X4,X1)))), inference(spm,[status(thm)],[c_0_45, c_0_56])).
% 149.65/162.22 cnf(c_0_60, plain, (implies(X1,implies(implies(X2,X1),implies(X3,X2)))=implies(X1,implies(X3,X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_58])).
% 149.65/162.22 cnf(c_0_61, axiom, (big_hat(X1,X2)=not(big_V(not(X1),not(X2)))), big_hat_definition).
% 149.65/162.22 cnf(c_0_62, axiom, (big_V(X1,X2)=implies(implies(X1,X2),X2)), big_V_definition).
% 149.65/162.22 cnf(c_0_63, plain, (implies(implies(X1,X2),implies(X3,implies(X2,X1)))=implies(X3,implies(X2,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_56]), c_0_40])).
% 149.65/162.22 cnf(c_0_64, negated_conjecture, (implies(big_hat(x,y),z)!=big_V(implies(x,z),implies(y,z))), prove_wajsberg_theorem).
% 149.65/162.22 cnf(c_0_65, plain, (big_hat(X1,X2)=not(implies(implies(not(X1),not(X2)),not(X2)))), inference(rw,[status(thm)],[c_0_61, c_0_62])).
% 149.65/162.22 cnf(c_0_66, 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_10, c_0_40]), c_0_40]), c_0_46]), c_0_46])).
% 149.65/162.22 cnf(c_0_67, plain, (implies(not(X1),implies(implies(X1,not(X2)),X2))=implies(not(X1),X2)), inference(spm,[status(thm)],[c_0_55, c_0_46])).
% 149.65/162.22 cnf(c_0_68, plain, (implies(X1,implies(implies(X2,implies(X3,X1)),X3))=implies(X1,X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_63]), c_0_16]), c_0_12]), c_0_45])).
% 149.65/162.22 cnf(c_0_69, negated_conjecture, (implies(not(implies(implies(not(x),not(y)),not(y))),z)!=implies(implies(implies(x,z),implies(y,z)),implies(y,z))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_62]), c_0_65])).
% 149.65/162.22 cnf(c_0_70, 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_66, c_0_25]), c_0_14]), c_0_35]), c_0_46])).
% 149.65/162.22 cnf(c_0_71, plain, (implies(implies(implies(X1,X2),X2),implies(X3,X2))=implies(X3,implies(X1,X2))), inference(spm,[status(thm)],[c_0_45, c_0_23])).
% 149.65/162.22 cnf(c_0_72, plain, (implies(not(X1),implies(X2,implies(implies(X1,X2),X3)))=implies(not(X3),implies(X2,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_67]), c_0_40]), c_0_41]), c_0_45])).
% 149.65/162.22 cnf(c_0_73, plain, (implies(X1,implies(X2,implies(implies(X3,implies(X4,X1)),X4)))=implies(X2,implies(X1,X4))), inference(spm,[status(thm)],[c_0_45, c_0_68])).
% 149.65/162.22 cnf(c_0_74, negated_conjecture, (implies(not(implies(implies(y,x),not(y))),z)!=implies(implies(implies(x,z),implies(y,z)),implies(y,z))), inference(rw,[status(thm)],[c_0_69, c_0_40])).
% 149.65/162.22 cnf(c_0_75, 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_49, c_0_70]), c_0_41]), c_0_40])).
% 149.65/162.22 cnf(c_0_76, plain, (implies(implies(implies(X1,X2),X2),implies(implies(X2,X3),X3))=implies(implies(X3,X2),implies(X1,X2))), inference(spm,[status(thm)],[c_0_71, c_0_10])).
% 149.65/162.22 cnf(c_0_77, plain, (implies(X1,implies(implies(implies(X2,X1),X3),X2))=implies(X3,implies(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_66]), c_0_59]), c_0_41]), c_0_73]), c_0_45])).
% 149.65/162.22 cnf(c_0_78, negated_conjecture, (implies(implies(implies(x,z),implies(y,z)),implies(y,z))!=implies(not(z),implies(implies(y,x),not(y)))), inference(rw,[status(thm)],[c_0_74, c_0_44])).
% 149.65/162.22 cnf(c_0_79, plain, (implies(implies(X1,X2),implies(implies(implies(X1,X2),X2),X3))=implies(X2,X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_21]), c_0_12]), c_0_45])).
% 149.65/162.22 cnf(c_0_80, plain, (implies(implies(X1,X2),implies(implies(implies(X3,X1),X1),X2))=implies(implies(X2,X1),implies(X3,X1))), inference(spm,[status(thm)],[c_0_45, c_0_76])).
% 149.65/162.22 cnf(c_0_81, plain, (implies(X1,implies(implies(implies(implies(X1,X2),X2),X3),X2))=implies(X1,implies(implies(X1,X3),X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_75]), c_0_45])).
% 149.65/162.22 cnf(c_0_82, negated_conjecture, (implies(implies(implies(x,z),implies(y,z)),implies(y,z))!=implies(not(z),implies(y,not(implies(y,x))))), inference(rw,[status(thm)],[c_0_78, c_0_46])).
% 149.65/162.22 cnf(c_0_83, plain, (implies(X1,implies(implies(implies(X2,X3),implies(X1,X3)),X3))=implies(X1,implies(implies(X1,X2),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_79]), c_0_80]), c_0_45]), c_0_81]), c_0_45])).
% 149.65/162.22 cnf(c_0_84, negated_conjecture, (implies(y,implies(implies(y,implies(implies(z,x),x)),z))!=implies(y,implies(implies(y,x),z))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_45]), c_0_45]), c_0_10]), c_0_45]), c_0_40])).
% 149.65/162.22 cnf(c_0_85, plain, (implies(X1,implies(implies(X1,implies(implies(X2,X3),X3)),X2))=implies(X1,implies(implies(X1,X3),X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_25]), c_0_83])).
% 149.65/162.22 cnf(c_0_86, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84, c_0_85])]), ['proof']).
% 149.65/162.22 % SZS output end Proof
% 149.65/162.22 % User time : 159.912 s
% 149.65/162.22 % System time : 1.820 s
% 149.65/162.22 % Total time : 161.731 s
% 149.65/162.22
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