%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL164-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n016.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 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL164-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.33 % Computer : n016.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sat Sep 5 06:46:59 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.12/0.45 start to proof:theBenchmark.p
% 0.25/0.52 % Version : CSI_E---1.1
% 0.25/0.52 % Problem : theBenchmark.p
% 0.25/0.52 % Proof found!
% 0.25/0.52 # SZS status Unsatisfiable
% 0.25/0.52 % SZS output start Proof
% 0.25/0.52 cnf(prove_wajsberg_axiom, negated_conjecture, (implies(implies(not(x),not(y)),implies(y,x))!=truth), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_wajsberg_axiom)).
% 0.25/0.52 cnf(axiom_1, axiom, (not(X1)=xor(X1,truth)), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax', axiom_1)).
% 0.25/0.52 cnf(implies_definition, axiom, (implies(X1,X2)=xor(truth,and_star(X1,xor(truth,X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', implies_definition)).
% 0.25/0.52 cnf(and_star_commutativity, axiom, (and_star(X1,X2)=and_star(X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', and_star_commutativity)).
% 0.25/0.52 cnf(xor_commutativity, axiom, (xor(X1,X2)=xor(X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', xor_commutativity)).
% 0.25/0.52 cnf(axiom_7, axiom, (xor(X1,xor(truth,X2))=xor(xor(X1,truth),X2)), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax', axiom_7)).
% 0.25/0.52 cnf(axiom_3, axiom, (xor(X1,X1)=falsehood), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax', axiom_3)).
% 0.25/0.52 cnf(axiom_2, axiom, (xor(X1,falsehood)=X1), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax', axiom_2)).
% 0.25/0.52 cnf(axiom_6, axiom, (and_star(xor(truth,X1),X1)=falsehood), file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax', axiom_6)).
% 0.25/0.52 cnf(c_0_9, negated_conjecture, (implies(implies(not(x),not(y)),implies(y,x))!=truth), inference(fof_simplification,[status(thm)],[prove_wajsberg_axiom])).
% 0.25/0.52 cnf(c_0_10, negated_conjecture, (implies(implies(not(x),not(y)),implies(y,x))!=truth), c_0_9).
% 0.25/0.52 cnf(c_0_11, axiom, (not(X1)=xor(X1,truth)), axiom_1).
% 0.25/0.52 cnf(c_0_12, axiom, (implies(X1,X2)=xor(truth,and_star(X1,xor(truth,X2)))), implies_definition).
% 0.25/0.52 cnf(c_0_13, negated_conjecture, (xor(truth,and_star(xor(truth,and_star(xor(x,truth),xor(truth,xor(y,truth)))),xor(truth,xor(truth,and_star(y,xor(truth,x))))))!=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11]), c_0_11]), c_0_12]), c_0_12]), c_0_12])).
% 0.25/0.52 cnf(c_0_14, axiom, (and_star(X1,X2)=and_star(X2,X1)), and_star_commutativity).
% 0.25/0.52 cnf(c_0_15, axiom, (xor(X1,X2)=xor(X2,X1)), xor_commutativity).
% 0.25/0.52 cnf(c_0_16, axiom, (xor(X1,xor(truth,X2))=xor(xor(X1,truth),X2)), axiom_7).
% 0.25/0.52 cnf(c_0_17, axiom, (xor(X1,X1)=falsehood), axiom_3).
% 0.25/0.52 cnf(c_0_18, negated_conjecture, (xor(truth,and_star(xor(truth,xor(truth,and_star(y,xor(truth,x)))),xor(truth,and_star(xor(truth,x),xor(truth,xor(truth,y))))))!=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14]), c_0_15]), c_0_15])).
% 0.25/0.52 cnf(c_0_19, plain, (xor(truth,xor(truth,X1))=xor(falsehood,X1)), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 0.25/0.52 cnf(c_0_20, axiom, (xor(X1,falsehood)=X1), axiom_2).
% 0.25/0.52 cnf(c_0_21, axiom, (and_star(xor(truth,X1),X1)=falsehood), axiom_6).
% 0.25/0.52 cnf(c_0_22, negated_conjecture, (xor(truth,and_star(xor(falsehood,and_star(y,xor(truth,x))),xor(truth,and_star(xor(truth,x),xor(falsehood,y)))))!=truth), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19]), c_0_19])).
% 0.25/0.53 cnf(c_0_23, plain, (xor(falsehood,X1)=X1), inference(spm,[status(thm)],[c_0_20, c_0_15])).
% 0.25/0.53 cnf(c_0_24, plain, (and_star(X1,xor(truth,X1))=falsehood), inference(rw,[status(thm)],[c_0_21, c_0_14])).
% 0.25/0.53 cnf(c_0_25, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_14]), c_0_23]), c_0_23]), c_0_24]), c_0_20])]), ['proof']).
% 0.25/0.53 % SZS output end Proof
% 0.25/0.53 % User time : 0.004 s
% 0.25/0.53 % System time : 0.004 s
% 0.25/0.53 % Total time : 0.009 s
% 0.25/0.53 % User time : 0.020 s
% 0.25/0.53 % System time : 0.014 s
% 0.25/0.53 % Total time : 0.034 s
% 0.25/0.53
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