%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL145-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n009.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 0.22s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL145-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.06/0.34 % Computer : n009.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Fri Sep 4 15:00:51 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.22/0.46 start to proof:theBenchmark.p
% 0.22/0.53 % Version : CSI_E---1.1
% 0.22/0.53 % Problem : theBenchmark.p
% 0.22/0.53 % Proof found!
% 0.22/0.53 # SZS status Unsatisfiable
% 0.22/0.53 % SZS output start Proof
% 0.22/0.53 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)).
% 0.22/0.53 cnf(wajsberg_1, axiom, (implies(truth,X1)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax', wajsberg_1)).
% 0.22/0.53 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)).
% 0.22/0.53 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)).
% 0.22/0.53 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)).
% 0.22/0.53 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)).
% 0.22/0.53 cnf(prove_wajsberg_theorem, negated_conjecture, (not(big_V(x,y))!=big_hat(not(x),not(y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_wajsberg_theorem)).
% 0.22/0.53 cnf(c_0_7, axiom, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth), wajsberg_2).
% 0.22/0.53 cnf(c_0_8, axiom, (implies(truth,X1)=X1), wajsberg_1).
% 0.22/0.53 cnf(c_0_9, plain, (implies(X1,implies(implies(X1,X2),X2))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_8]), c_0_8])).
% 0.22/0.53 cnf(c_0_10, axiom, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), wajsberg_3).
% 0.22/0.53 cnf(c_0_11, plain, (implies(X1,implies(implies(X2,X1),X1))=truth), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 0.22/0.53 cnf(c_0_12, plain, (implies(X1,X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_8])).
% 0.22/0.53 cnf(c_0_13, plain, (implies(X1,truth)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_8]), c_0_12])).
% 0.22/0.53 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_7, c_0_13]), c_0_8]), c_0_8])).
% 0.22/0.53 cnf(c_0_15, axiom, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth), wajsberg_4).
% 0.22/0.53 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_10, c_0_14]), c_0_8])).
% 0.22/0.53 cnf(c_0_17, plain, (implies(implies(not(X1),not(truth)),X1)=truth), inference(spm,[status(thm)],[c_0_15, c_0_8])).
% 0.22/0.53 cnf(c_0_18, plain, (implies(implies(implies(X1,X2),X2),X1)=implies(X2,X1)), inference(spm,[status(thm)],[c_0_16, c_0_10])).
% 0.22/0.53 cnf(c_0_19, 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_8])).
% 0.22/0.53 cnf(c_0_20, plain, (implies(implies(implies(X1,X2),X3),implies(X2,X3))=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_14]), c_0_8])).
% 0.22/0.53 cnf(c_0_21, plain, (implies(not(truth),not(not(truth)))=not(not(truth))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_12]), c_0_8])).
% 0.22/0.53 cnf(c_0_22, plain, (implies(not(truth),X1)=truth), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_17]), c_0_8])).
% 0.22/0.53 cnf(c_0_23, plain, (implies(implies(not(X1),not(implies(X2,X1))),implies(implies(X1,X2),X2))=truth), inference(spm,[status(thm)],[c_0_15, c_0_10])).
% 0.22/0.53 cnf(c_0_24, plain, (not(not(truth))=truth), inference(rw,[status(thm)],[c_0_21, c_0_22])).
% 0.22/0.53 cnf(c_0_25, 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_23, c_0_24]), c_0_8]), c_0_22]), c_0_8])).
% 0.22/0.53 cnf(c_0_26, axiom, (big_hat(X1,X2)=not(big_V(not(X1),not(X2)))), big_hat_definition).
% 0.22/0.53 cnf(c_0_27, axiom, (big_V(X1,X2)=implies(implies(X1,X2),X2)), big_V_definition).
% 0.22/0.53 cnf(c_0_28, 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_8])).
% 0.22/0.53 cnf(c_0_29, negated_conjecture, (not(big_V(x,y))!=big_hat(not(x),not(y))), prove_wajsberg_theorem).
% 0.22/0.53 cnf(c_0_30, plain, (big_hat(X1,X2)=not(implies(implies(not(X1),not(X2)),not(X2)))), inference(rw,[status(thm)],[c_0_26, c_0_27])).
% 0.22/0.53 cnf(c_0_31, 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_28]), c_0_8]), c_0_17]), c_0_8])).
% 0.22/0.53 cnf(c_0_32, negated_conjecture, (not(implies(implies(x,y),y))!=not(implies(implies(not(not(x)),not(not(y))),not(not(y))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_27]), c_0_30])).
% 0.22/0.53 cnf(c_0_33, plain, (implies(implies(X1,not(truth)),not(truth))=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_22]), c_0_8])).
% 0.22/0.53 cnf(c_0_34, plain, (implies(X1,not(truth))=not(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_31]), c_0_22]), c_0_8])).
% 0.22/0.53 cnf(c_0_35, negated_conjecture, (not(implies(implies(not(not(y)),not(not(x))),not(not(x))))!=not(implies(implies(y,x),x))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_10]), c_0_10])).
% 0.22/0.53 cnf(c_0_36, plain, (not(not(X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34]), c_0_34])).
% 0.22/0.53 cnf(c_0_37, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36]), c_0_36]), c_0_36])]), ['proof']).
% 0.22/0.53 % SZS output end Proof
% 0.22/0.53 % User time : 0.034 s
% 0.22/0.53 % System time : 0.004 s
% 0.22/0.53 % Total time : 0.038 s
% 0.22/0.53
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