%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : LCL161-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n001.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 0.23s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL161-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 08:59:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.23/0.47 start to proof:theBenchmark.p
% 0.23/0.53 % Version : CSI_E---1.1
% 0.23/0.53 % Problem : theBenchmark.p
% 0.23/0.53 % Proof found!
% 0.23/0.53 # SZS status Unsatisfiable
% 0.23/0.53 % SZS output start Proof
% 0.23/0.53 cnf(prove_wajsberg_axiom, negated_conjecture, (implies(truth,x)!=x), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_wajsberg_axiom)).
% 0.23/0.53 cnf(implies_definition, axiom, (implies(X1,X2)=xor(truth,and_star(X1,xor(truth,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', implies_definition)).
% 0.23/0.53 cnf(axiom_4, axiom, (and_star(X1,truth)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax', axiom_4)).
% 0.23/0.53 cnf(and_star_commutativity, axiom, (and_star(X1,X2)=and_star(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', and_star_commutativity)).
% 0.23/0.53 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)).
% 0.23/0.53 cnf(axiom_3, axiom, (xor(X1,X1)=falsehood), file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax', axiom_3)).
% 0.23/0.53 cnf(axiom_2, axiom, (xor(X1,falsehood)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-0.ax', axiom_2)).
% 0.23/0.53 cnf(xor_commutativity, axiom, (xor(X1,X2)=xor(X2,X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', xor_commutativity)).
% 0.23/0.53 cnf(c_0_8, negated_conjecture, (implies(truth,x)!=x), inference(fof_simplification,[status(thm)],[prove_wajsberg_axiom])).
% 0.23/0.53 cnf(c_0_9, negated_conjecture, (implies(truth,x)!=x), c_0_8).
% 0.23/0.53 cnf(c_0_10, axiom, (implies(X1,X2)=xor(truth,and_star(X1,xor(truth,X2)))), implies_definition).
% 0.23/0.53 cnf(c_0_11, axiom, (and_star(X1,truth)=X1), axiom_4).
% 0.23/0.53 cnf(c_0_12, axiom, (and_star(X1,X2)=and_star(X2,X1)), and_star_commutativity).
% 0.23/0.53 cnf(c_0_13, axiom, (xor(X1,xor(truth,X2))=xor(xor(X1,truth),X2)), axiom_7).
% 0.23/0.53 cnf(c_0_14, axiom, (xor(X1,X1)=falsehood), axiom_3).
% 0.23/0.53 cnf(c_0_15, axiom, (xor(X1,falsehood)=X1), axiom_2).
% 0.23/0.53 cnf(c_0_16, axiom, (xor(X1,X2)=xor(X2,X1)), xor_commutativity).
% 0.23/0.53 cnf(c_0_17, negated_conjecture, (xor(truth,and_star(truth,xor(truth,x)))!=x), inference(rw,[status(thm)],[c_0_9, c_0_10])).
% 0.23/0.53 cnf(c_0_18, plain, (and_star(truth,X1)=X1), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.23/0.53 cnf(c_0_19, plain, (xor(X1,xor(truth,xor(truth,X2)))=xor(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_13]), c_0_14]), c_0_15]), c_0_13])).
% 0.23/0.53 cnf(c_0_20, plain, (xor(falsehood,X1)=X1), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 0.23/0.53 cnf(c_0_21, negated_conjecture, (xor(truth,xor(truth,x))!=x), inference(rw,[status(thm)],[c_0_17, c_0_18])).
% 0.23/0.53 cnf(c_0_22, plain, (xor(truth,xor(truth,X1))=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_20])).
% 0.23/0.53 cnf(c_0_23, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])]), ['proof']).
% 0.23/0.53 % SZS output end Proof
% 0.23/0.53 % User time : 0.003 s
% 0.23/0.53 % System time : 0.003 s
% 0.23/0.53 % Total time : 0.006 s
% 0.23/0.53 % User time : 0.009 s
% 0.23/0.53 % System time : 0.014 s
% 0.23/0.53 % Total time : 0.022 s
% 0.23/0.53
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