%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL163-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n031.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 11:20:25 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL163-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.06/0.34 % Computer : n031.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 17:33:24 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.25/0.46 start to proof:theBenchmark.p
% 0.25/0.53 % Version : CSI_E---1.1
% 0.25/0.53 % Problem : theBenchmark.p
% 0.25/0.53 % Proof found!
% 0.25/0.53 # SZS status Unsatisfiable
% 0.25/0.53 % SZS output start Proof
% 0.25/0.53 cnf(axiom_7, axiom, (xor(X1,xor(truth,X2))=xor(xor(X1,truth),X2)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax', axiom_7)).
% 0.25/0.53 cnf(axiom_1, axiom, (not(X1)=xor(X1,truth)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax', axiom_1)).
% 0.25/0.53 cnf(implies_definition, axiom, (implies(X1,X2)=xor(truth,and_star(X1,xor(truth,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', implies_definition)).
% 0.25/0.53 cnf(axiom_2, axiom, (xor(X1,falsehood)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax', axiom_2)).
% 0.25/0.53 cnf(axiom_4, axiom, (and_star(X1,truth)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax', axiom_4)).
% 0.25/0.53 cnf(false_definition, axiom, (not(truth)=falsehood), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', false_definition)).
% 0.25/0.53 cnf(xor_commutativity, axiom, (xor(X1,X2)=xor(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', xor_commutativity)).
% 0.25/0.53 cnf(and_star_commutativity, axiom, (and_star(X1,X2)=and_star(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', and_star_commutativity)).
% 0.25/0.53 cnf(axiom_8, axiom, (and_star(xor(and_star(xor(truth,X1),X2),truth),X2)=and_star(xor(and_star(xor(truth,X2),X1),truth),X1)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax', axiom_8)).
% 0.25/0.53 cnf(prove_wajsberg_axiom, negated_conjecture, (implies(implies(x,y),y)!=implies(implies(y,x),x)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_wajsberg_axiom)).
% 0.25/0.53 cnf(c_0_10, axiom, (xor(X1,xor(truth,X2))=xor(xor(X1,truth),X2)), axiom_7).
% 0.25/0.53 cnf(c_0_11, axiom, (not(X1)=xor(X1,truth)), axiom_1).
% 0.25/0.53 cnf(c_0_12, axiom, (implies(X1,X2)=xor(truth,and_star(X1,xor(truth,X2)))), implies_definition).
% 0.25/0.53 cnf(c_0_13, axiom, (xor(X1,falsehood)=X1), axiom_2).
% 0.25/0.53 cnf(c_0_14, axiom, (and_star(X1,truth)=X1), axiom_4).
% 0.25/0.53 cnf(c_0_15, plain, (xor(X1,xor(truth,X2))=xor(not(X1),X2)), inference(rw,[status(thm)],[c_0_10, c_0_11])).
% 0.25/0.53 cnf(c_0_16, axiom, (not(truth)=falsehood), false_definition).
% 0.25/0.53 cnf(c_0_17, plain, (xor(truth,X1)=implies(X1,falsehood)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14])).
% 0.25/0.53 cnf(c_0_18, axiom, (xor(X1,X2)=xor(X2,X1)), xor_commutativity).
% 0.25/0.53 cnf(c_0_19, plain, (not(not(X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_11]), c_0_16]), c_0_13]), c_0_11])).
% 0.25/0.53 cnf(c_0_20, plain, (not(X1)=implies(X1,falsehood)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_11])).
% 0.25/0.53 cnf(c_0_21, plain, (implies(implies(X1,falsehood),falsehood)=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20]), c_0_20])).
% 0.25/0.53 cnf(c_0_22, plain, (implies(and_star(X1,implies(X2,falsehood)),falsehood)=implies(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_17]), c_0_17])).
% 0.25/0.53 cnf(c_0_23, plain, (and_star(X1,implies(X2,falsehood))=implies(implies(X1,X2),falsehood)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 0.25/0.53 cnf(c_0_24, axiom, (and_star(X1,X2)=and_star(X2,X1)), and_star_commutativity).
% 0.25/0.53 cnf(c_0_25, plain, (and_star(X1,X2)=implies(implies(X1,implies(X2,falsehood)),falsehood)), inference(spm,[status(thm)],[c_0_23, c_0_21])).
% 0.25/0.53 cnf(c_0_26, axiom, (and_star(xor(and_star(xor(truth,X1),X2),truth),X2)=and_star(xor(and_star(xor(truth,X2),X1),truth),X1)), axiom_8).
% 0.25/0.53 cnf(c_0_27, plain, (implies(implies(X1,implies(X2,falsehood)),falsehood)=implies(implies(X2,implies(X1,falsehood)),falsehood)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25]), c_0_25])).
% 0.25/0.53 cnf(c_0_28, plain, (and_star(X1,not(and_star(xor(truth,X2),X1)))=and_star(X2,not(and_star(xor(truth,X1),X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_11]), c_0_24]), c_0_11]), c_0_24])).
% 0.25/0.53 cnf(c_0_29, plain, (implies(X1,implies(X2,falsehood))=implies(X2,implies(X1,falsehood))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_27]), c_0_21])).
% 0.25/0.53 cnf(c_0_30, plain, (and_star(X1,implies(and_star(implies(X2,falsehood),X1),falsehood))=and_star(X2,implies(and_star(implies(X1,falsehood),X2),falsehood))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_17]), c_0_20]), c_0_17]), c_0_20])).
% 0.25/0.53 cnf(c_0_31, plain, (implies(implies(X1,falsehood),implies(X2,falsehood))=implies(X2,X1)), inference(spm,[status(thm)],[c_0_29, c_0_21])).
% 0.25/0.53 cnf(c_0_32, plain, (implies(implies(X1,implies(implies(X1,X2),falsehood)),falsehood)=implies(implies(X2,implies(implies(X2,X1),falsehood)),falsehood)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_23]), c_0_23]), c_0_25]), c_0_31]), c_0_25]), c_0_31])).
% 0.25/0.53 cnf(c_0_33, negated_conjecture, (implies(implies(x,y),y)!=implies(implies(y,x),x)), inference(fof_simplification,[status(thm)],[prove_wajsberg_axiom])).
% 0.25/0.53 cnf(c_0_34, plain, (implies(X1,implies(implies(X1,X2),falsehood))=implies(X2,implies(implies(X2,X1),falsehood))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_32]), c_0_21])).
% 0.25/0.53 cnf(c_0_35, negated_conjecture, (implies(implies(x,y),y)!=implies(implies(y,x),x)), c_0_33).
% 0.25/0.53 cnf(c_0_36, plain, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_31]), c_0_31]), c_0_31]), c_0_31])).
% 0.25/0.53 cnf(c_0_37, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])]), ['proof']).
% 0.25/0.53 % SZS output end Proof
% 0.25/0.53 % User time : 0.008 s
% 0.25/0.53 % System time : 0.002 s
% 0.25/0.53 % Total time : 0.010 s
% 0.25/0.53 % User time : 0.010 s
% 0.25/0.53 % System time : 0.004 s
% 0.25/0.53 % Total time : 0.014 s
% 0.25/0.53
%------------------------------------------------------------------------------