%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL159-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 : Thu Sep 24 01:09:28 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL159-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:05:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.48 % Refutation found
% 0.14/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.48 fof(f1,axiom,(
% 0.14/0.48 (![X]: (implies(truth,X) = X ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f2,axiom,(
% 0.14/0.48 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f3,axiom,(
% 0.14/0.48 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f4,axiom,(
% 0.14/0.48 (![X,Y]: (implies(implies(not(X),not(Y)),implies(Y,X)) = truth ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f5,axiom,(
% 0.14/0.48 (![X,Y]: (or(X,Y) = implies(not(X),Y) ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f7,axiom,(
% 0.14/0.48 (![X,Y]: (or(X,Y) = or(Y,X) ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f8,axiom,(
% 0.14/0.48 (![X,Y]: (and(X,Y) = not(or(not(X),not(Y))) ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f11,axiom,(
% 0.14/0.48 (![X,Y]: (xor(X,Y) = or(and(X,not(Y)),and(not(X),Y)) ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f13,axiom,(
% 0.14/0.48 (![X,Y]: (and_star(X,Y) = not(or(not(X),not(Y))) ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f15,axiom,(
% 0.14/0.48 (![X,Y]: (and_star(X,Y) = and_star(Y,X) ))),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f16,axiom,(
% 0.14/0.48 not(truth) = falsehood ),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f17,negated_conjecture,(
% 0.14/0.48 xor(x,xor(truth,y)) != xor(xor(x,truth),y) ),
% 0.14/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f18,plain,(
% 0.14/0.48 ![X0]: (implies(truth,X0)=X0)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.48 fof(f19,plain,(
% 0.14/0.48 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.48 fof(f20,plain,(
% 0.14/0.48 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.48 fof(f21,plain,(
% 0.14/0.48 ![X0,X1]: (implies(implies(not(X0),not(X1)),implies(X1,X0))=truth)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.48 fof(f22,plain,(
% 0.14/0.48 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.48 fof(f24,plain,(
% 0.14/0.48 ![X0,X1]: (or(X0,X1)=or(X1,X0))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.48 fof(f25,plain,(
% 0.14/0.48 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.48 fof(f28,plain,(
% 0.14/0.48 ![X0,X1]: (xor(X0,X1)=or(and(X0,not(X1)),and(not(X0),X1)))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.48 fof(f30,plain,(
% 0.14/0.48 ![X0,X1]: (and_star(X0,X1)=not(or(not(X0),not(X1))))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.48 fof(f32,plain,(
% 0.14/0.48 ![X0,X1]: (and_star(X0,X1)=and_star(X1,X0))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.48 fof(f33,plain,(
% 0.14/0.48 not(truth)=falsehood),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.48 fof(f34,plain,(
% 0.14/0.48 ~xor(x,xor(truth,y))=xor(xor(x,truth),y)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.48 fof(f40,plain,(
% 0.14/0.48 ![X0,X1]: (implies(or(X0,not(X1)),implies(X1,X0))=truth)),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f22,f21])).
% 0.14/0.48 fof(f41,plain,(
% 0.14/0.48 ![X0,X1]: (and(X0,X1)=and_star(X0,X1))),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f30,f25])).
% 0.14/0.48 fof(f42,plain,(
% 0.14/0.48 ![X0,X1]: (xor(X0,X1)=or(and(X0,not(X1)),and_star(not(X0),X1)))),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f41,f28])).
% 0.14/0.48 fof(f45,plain,(
% 0.14/0.48 ![X0,X1]: (xor(X0,X1)=or(and_star(X0,not(X1)),and_star(not(X0),X1)))),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f41,f42])).
% 0.14/0.48 fof(f57,plain,(
% 0.14/0.48 ![X0,X1]: (implies(or(implies(X0,X1),not(or(X1,not(X0)))),truth)=truth)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f40,f40])).
% 0.14/0.48 fof(f58,plain,(
% 0.14/0.48 ![X0]: (implies(or(X0,not(truth)),X0)=truth)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f18,f40])).
% 0.14/0.48 fof(f59,plain,(
% 0.14/0.48 ![X0]: (implies(or(X0,falsehood),X0)=truth)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f33,f58])).
% 0.14/0.50 fof(f66,plain,(
% 0.14/0.50 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f18,f19])).
% 0.14/0.50 fof(f84,plain,(
% 0.14/0.50 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f18,f66])).
% 0.14/0.50 fof(f90,plain,(
% 0.14/0.50 ![X0]: (implies(implies(truth,X0),X0)=truth)),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f18,f84])).
% 0.14/0.50 fof(f103,plain,(
% 0.14/0.50 ![X0]: (implies(X0,X0)=truth)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f18,f90])).
% 0.14/0.50 fof(f161,plain,(
% 0.14/0.50 ![X0,X1,X2]: (implies(implies(or(implies(X0,X1),not(or(X1,not(X0)))),X2),implies(implies(X2,truth),truth))=truth)),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f57,f19])).
% 0.14/0.50 fof(f171,plain,(
% 0.14/0.50 ![X0]: (xor(truth,X0)=or(and_star(truth,not(X0)),and_star(falsehood,X0)))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f33,f45])).
% 0.14/0.50 fof(f172,plain,(
% 0.14/0.50 ![X0]: (xor(X0,truth)=or(and_star(X0,falsehood),and_star(not(X0),truth)))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f33,f45])).
% 0.14/0.50 fof(f183,plain,(
% 0.14/0.50 ![X0]: (implies(or(falsehood,X0),X0)=truth)),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f24,f59])).
% 0.14/0.50 fof(f194,plain,(
% 0.14/0.50 ![X0,X1]: (xor(X0,X1)=or(and_star(X0,not(X1)),and_star(X1,not(X0))))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f32,f45])).
% 0.14/0.50 fof(f195,plain,(
% 0.14/0.50 ![X0,X1]: (xor(X0,X1)=or(and_star(not(X1),X0),and_star(not(X0),X1)))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f32,f45])).
% 0.14/0.50 fof(f202,plain,(
% 0.14/0.50 ![X0]: (or(X0,not(X0))=truth)),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f103,f22])).
% 0.14/0.50 fof(f264,plain,(
% 0.14/0.50 implies(truth,not(falsehood))=truth),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f202,f183])).
% 0.14/0.50 fof(f274,plain,(
% 0.14/0.50 not(falsehood)=truth),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f18,f264])).
% 0.14/0.50 fof(f279,plain,(
% 0.14/0.50 ![X0]: (or(falsehood,X0)=implies(truth,X0))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f274,f22])).
% 0.14/0.50 fof(f291,plain,(
% 0.14/0.50 ![X0]: (or(falsehood,X0)=X0)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f18,f279])).
% 0.14/0.50 fof(f299,plain,(
% 0.14/0.50 ![X0]: (or(X0,falsehood)=X0)),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f24,f291])).
% 0.14/0.50 fof(f306,plain,(
% 0.14/0.50 ![X0]: (implies(not(X0),implies(X0,falsehood))=truth)),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f291,f40])).
% 0.14/0.50 fof(f325,plain,(
% 0.14/0.50 ![X0]: (or(X0,implies(X0,falsehood))=truth)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f22,f306])).
% 0.14/0.50 fof(f340,plain,(
% 0.14/0.50 ![X0]: (implies(X0,X0)=implies(implies(X0,truth),truth))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f18,f20])).
% 0.14/0.50 fof(f363,plain,(
% 0.14/0.50 ![X0,X1,X2]: (implies(implies(or(implies(X0,X1),not(or(X1,not(X0)))),X2),truth)=truth)),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f364,f161])).
% 0.14/0.50 fof(f364,plain,(
% 0.14/0.50 ![X0]: (truth=implies(implies(X0,truth),truth))),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f103,f340])).
% 0.14/0.50 fof(f389,plain,(
% 0.14/0.50 ![X0]: (and_star(falsehood,X0)=not(or(truth,not(X0))))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f274,f30])).
% 0.14/0.50 fof(f390,plain,(
% 0.14/0.50 ![X0]: (and_star(truth,X0)=not(or(falsehood,not(X0))))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f33,f30])).
% 0.14/0.50 fof(f392,plain,(
% 0.14/0.50 ![X0]: (and_star(X0,falsehood)=not(or(not(X0),truth)))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f274,f30])).
% 0.14/0.50 fof(f393,plain,(
% 0.14/0.50 ![X0]: (and_star(X0,truth)=not(or(not(X0),falsehood)))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f33,f30])).
% 0.14/0.50 fof(f406,plain,(
% 0.14/0.50 ![X0]: (and_star(truth,X0)=not(not(X0)))),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f291,f390])).
% 0.14/0.50 fof(f407,plain,(
% 0.14/0.50 ![X0]: (and_star(X0,truth)=not(not(X0)))),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f299,f393])).
% 0.14/0.50 fof(f526,plain,(
% 0.14/0.50 ![X0]: (or(not(X0),or(X0,falsehood))=truth)),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f22,f325])).
% 0.14/0.50 fof(f534,plain,(
% 0.14/0.50 ![X0]: (or(not(X0),X0)=truth)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f299,f526])).
% 0.14/0.50 fof(f546,plain,(
% 0.14/0.50 ![X0]: (implies(truth,implies(X0,not(not(X0))))=truth)),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f534,f40])).
% 0.14/0.50 fof(f555,plain,(
% 0.14/0.50 ![X0]: (implies(X0,not(not(X0)))=truth)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f18,f546])).
% 0.14/0.50 fof(f557,plain,(
% 0.14/0.50 ![X0]: (implies(X0,and_star(X0,truth))=truth)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f407,f555])).
% 0.14/0.50 fof(f605,plain,(
% 0.14/0.50 ![X0,X1]: (and_star(or(not(X0),not(X1)),truth)=not(and_star(X0,X1)))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f30,f407])).
% 0.14/0.50 fof(f609,plain,(
% 0.14/0.50 ![X0]: (and_star(truth,not(X0))=not(and_star(X0,truth)))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f407,f406])).
% 0.14/0.50 fof(f616,plain,(
% 0.14/0.50 ![X0,X1]: (or(not(X0),X1)=implies(and_star(X0,truth),X1))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f407,f22])).
% 0.14/0.50 fof(f648,plain,(
% 0.14/0.50 ![X0]: (implies(implies(and_star(X0,truth),X0),X0)=implies(truth,and_star(X0,truth)))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f557,f20])).
% 0.14/0.50 fof(f661,plain,(
% 0.14/0.50 ![X0]: (implies(or(not(X0),X0),X0)=implies(truth,and_star(X0,truth)))),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f616,f648])).
% 0.14/0.50 fof(f662,plain,(
% 0.14/0.50 ![X0]: (implies(truth,X0)=implies(truth,and_star(X0,truth)))),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f534,f661])).
% 0.14/0.50 fof(f663,plain,(
% 0.14/0.50 ![X0]: (X0=implies(truth,and_star(X0,truth)))),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f18,f662])).
% 0.14/0.50 fof(f667,plain,(
% 0.14/0.50 ![X0]: (X0=not(not(X0)))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f686,f407])).
% 0.14/0.50 fof(f670,plain,(
% 0.14/0.50 ![X0,X1]: (or(not(X0),not(X1))=not(and_star(X0,X1)))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f686,f605])).
% 0.14/0.50 fof(f673,plain,(
% 0.14/0.50 ![X0]: (xor(X0,truth)=or(and_star(X0,falsehood),not(X0)))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f686,f172])).
% 0.14/0.50 fof(f679,plain,(
% 0.14/0.50 ![X0,X1]: (or(not(X0),X1)=implies(X0,X1))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f686,f616])).
% 0.14/0.50 fof(f683,plain,(
% 0.14/0.50 ![X0]: (and_star(truth,not(X0))=not(X0))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f686,f609])).
% 0.14/0.50 fof(f686,plain,(
% 0.14/0.50 ![X0]: (X0=and_star(X0,truth))),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f18,f663])).
% 0.14/0.50 fof(f724,plain,(
% 0.14/0.50 ![X0]: (and_star(X0,falsehood)=not(implies(X0,truth)))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f679,f392])).
% 0.14/0.50 fof(f726,plain,(
% 0.14/0.50 ![X0,X1]: (implies(X0,not(X1))=not(and_star(X0,X1)))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f679,f670])).
% 0.14/0.50 fof(f734,plain,(
% 0.14/0.50 ![X0]: (xor(truth,X0)=or(not(X0),and_star(falsehood,X0)))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f683,f171])).
% 0.14/0.50 fof(f767,plain,(
% 0.14/0.50 ![X0]: (xor(truth,X0)=implies(X0,and_star(falsehood,X0)))),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f679,f734])).
% 0.14/0.50 fof(f983,plain,(
% 0.14/0.50 ![X0]: (not(X0)=implies(X0,falsehood))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f299,f679])).
% 0.14/0.50 fof(f985,plain,(
% 0.14/0.50 ![X0,X1]: (or(X0,not(X1))=implies(X1,X0))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f24,f679])).
% 0.14/0.50 fof(f1013,plain,(
% 0.14/0.50 ![X0]: (xor(X0,truth)=implies(X0,and_star(X0,falsehood)))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f985,f673])).
% 0.14/0.50 fof(f1023,plain,(
% 0.14/0.50 ![X0]: (and_star(falsehood,X0)=not(implies(X0,truth)))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f985,f389])).
% 0.14/0.50 fof(f1037,plain,(
% 0.14/0.50 ![X0,X1,X2]: (implies(implies(implies(or(X0,not(X1)),implies(X1,X0)),X2),truth)=truth)),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f985,f363])).
% 0.14/0.50 fof(f1134,plain,(
% 0.14/0.50 ![X0]: (implies(implies(truth,X0),truth)=truth)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f40,f1037])).
% 0.14/0.50 fof(f1153,plain,(
% 0.14/0.50 ![X0]: (and_star(falsehood,X0)=not(truth))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f1157,f1023])).
% 0.14/0.50 fof(f1156,plain,(
% 0.14/0.50 ![X0]: (and_star(X0,falsehood)=not(truth))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f1157,f724])).
% 0.14/0.50 fof(f1157,plain,(
% 0.14/0.50 ![X0]: (implies(X0,truth)=truth)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f18,f1134])).
% 0.14/0.50 fof(f1173,plain,(
% 0.14/0.50 ![X0]: (xor(truth,X0)=implies(X0,falsehood))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f1174,f767])).
% 0.14/0.50 fof(f1174,plain,(
% 0.14/0.50 ![X0]: (and_star(falsehood,X0)=falsehood)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f33,f1153])).
% 0.14/0.50 fof(f1177,plain,(
% 0.14/0.50 ![X0]: (xor(X0,truth)=implies(X0,falsehood))),
% 0.14/0.50 inference(backward_demodulation,[status(thm)],[f1178,f1013])).
% 0.14/0.50 fof(f1178,plain,(
% 0.14/0.50 ![X0]: (and_star(X0,falsehood)=falsehood)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f33,f1156])).
% 0.14/0.51 fof(f1181,plain,(
% 0.14/0.51 ~xor(x,not(y))=xor(xor(x,truth),y)),
% 0.14/0.51 inference(backward_demodulation,[status(thm)],[f1182,f34])).
% 0.14/0.51 fof(f1182,plain,(
% 0.14/0.51 ![X0]: (xor(truth,X0)=not(X0))),
% 0.14/0.51 inference(forward_demodulation,[status(thm)],[f983,f1173])).
% 0.14/0.51 fof(f1185,plain,(
% 0.14/0.51 ![X0]: (xor(X0,truth)=not(X0))),
% 0.14/0.51 inference(forward_demodulation,[status(thm)],[f983,f1177])).
% 0.14/0.51 fof(f1187,plain,(
% 0.14/0.51 ~xor(x,not(y))=xor(not(x),y)),
% 0.14/0.51 inference(forward_demodulation,[status(thm)],[f1185,f1181])).
% 0.14/0.51 fof(f1647,plain,(
% 0.14/0.51 ![X0,X1]: (xor(X0,not(X1))=or(and_star(X0,X1),and_star(not(X1),not(X0))))),
% 0.14/0.51 inference(paramodulation,[status(thm)],[f667,f194])).
% 0.14/0.51 fof(f1849,plain,(
% 0.14/0.51 ![X0,X1]: (or(X0,X1)=implies(not(X1),X0))),
% 0.14/0.51 inference(paramodulation,[status(thm)],[f667,f985])).
% 0.14/0.51 fof(f2068,plain,(
% 0.14/0.51 ![X0,X1]: (xor(not(X0),X1)=or(and_star(not(X1),not(X0)),and_star(X0,X1)))),
% 0.14/0.51 inference(paramodulation,[status(thm)],[f667,f195])).
% 0.14/0.51 fof(f2560,plain,(
% 0.14/0.51 ![X0,X1]: (or(not(X0),X1)=not(and_star(not(X1),X0)))),
% 0.14/0.51 inference(paramodulation,[status(thm)],[f1849,f726])).
% 0.14/0.51 fof(f2600,plain,(
% 0.14/0.51 ![X0,X1]: (implies(X0,X1)=not(and_star(not(X1),X0)))),
% 0.14/0.51 inference(forward_demodulation,[status(thm)],[f679,f2560])).
% 0.14/0.51 fof(f3246,plain,(
% 0.14/0.51 ![X0,X1,X2]: (or(X0,and_star(not(X1),X2))=implies(implies(X2,X1),X0))),
% 0.14/0.51 inference(paramodulation,[status(thm)],[f2600,f1849])).
% 0.14/0.51 fof(f3254,plain,(
% 0.14/0.51 ![X0,X1,X2]: (or(and_star(not(X0),X1),X2)=implies(implies(X1,X0),X2))),
% 0.14/0.51 inference(paramodulation,[status(thm)],[f2600,f22])).
% 0.14/0.51 fof(f3301,plain,(
% 0.14/0.51 ![X0,X1]: (xor(X0,not(X1))=implies(implies(not(X0),X1),and_star(X0,X1)))),
% 0.14/0.51 inference(backward_demodulation,[status(thm)],[f3246,f1647])).
% 0.14/0.51 fof(f3321,plain,(
% 0.14/0.51 ![X0,X1]: (xor(not(X0),X1)=implies(implies(not(X0),X1),and_star(X0,X1)))),
% 0.14/0.51 inference(backward_demodulation,[status(thm)],[f3254,f2068])).
% 0.14/0.51 fof(f3364,plain,(
% 0.14/0.51 ![X0,X1]: (xor(X0,not(X1))=implies(or(X1,X0),and_star(X0,X1)))),
% 0.14/0.51 inference(forward_demodulation,[status(thm)],[f1849,f3301])).
% 0.14/0.51 fof(f3375,plain,(
% 0.14/0.51 ![X0,X1]: (xor(not(X0),X1)=implies(or(X1,X0),and_star(X0,X1)))),
% 0.14/0.51 inference(forward_demodulation,[status(thm)],[f1849,f3321])).
% 0.14/0.51 fof(f3376,plain,(
% 0.14/0.51 ~xor(x,not(y))=xor(x,not(y))),
% 0.14/0.51 inference(backward_demodulation,[status(thm)],[f3378,f1187])).
% 0.14/0.51 fof(f3378,plain,(
% 0.14/0.51 ![X0,X1]: (xor(not(X0),X1)=xor(X0,not(X1)))),
% 0.14/0.51 inference(forward_demodulation,[status(thm)],[f3364,f3375])).
% 0.14/0.51 fof(f3387,plain,(
% 0.14/0.51 $false),
% 0.14/0.51 inference(trivial_equality_resolution,[status(thm)],[f3376])).
% 0.14/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 16.46/11.58 % Elapsed time: 11.212504 seconds
% 16.46/11.58 % CPU time: 87.295711 seconds
% 16.46/11.58 % Total memory used: 57.269 GB
% 16.46/11.58 % Net memory used: 57.268 GB
%------------------------------------------------------------------------------