%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL155-1 : 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 : n011.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 01:09:27 PM UTC 2026
% Result : Unsatisfiable 0.57s 15.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL155-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.13/15.66 % CPULimit : 300
% 0.13/15.66 % WCLimit : 300
% 0.13/15.66 % DateTime : Mon Sep 21 00:09:32 UTC 2026
% 0.13/15.67 % CPUTime :
% 0.13/15.68 % Drodi V4.1.1
% 0.57/15.71 % Refutation found
% 0.57/15.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.57/15.71 % SZS output start CNFRefutation for theBenchmark
% 0.57/15.71 fof(f1,axiom,(
% 0.57/15.71 (![X]: (implies(truth,X) = X ))),
% 0.57/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.57/15.71 fof(f2,axiom,(
% 0.57/15.71 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.57/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.57/15.71 fof(f3,axiom,(
% 0.57/15.71 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 0.57/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.57/15.71 fof(f4,axiom,(
% 0.57/15.71 (![X,Y]: (implies(implies(not(X),not(Y)),implies(Y,X)) = truth ))),
% 0.57/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.57/15.71 fof(f5,axiom,(
% 0.57/15.71 (![X,Y]: (or(X,Y) = implies(not(X),Y) ))),
% 0.57/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.57/15.71 fof(f7,axiom,(
% 0.57/15.71 (![X,Y]: (or(X,Y) = or(Y,X) ))),
% 0.57/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.57/15.71 fof(f8,axiom,(
% 0.57/15.71 (![X,Y]: (and(X,Y) = not(or(not(X),not(Y))) ))),
% 0.57/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.57/15.71 fof(f11,axiom,(
% 0.57/15.71 (![X,Y]: (xor(X,Y) = or(and(X,not(Y)),and(not(X),Y)) ))),
% 0.57/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.57/15.71 fof(f16,axiom,(
% 0.57/15.71 not(truth) = falsehood ),
% 0.57/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.57/15.71 fof(f17,negated_conjecture,(
% 0.57/15.71 xor(x,x) != falsehood ),
% 0.57/15.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.57/15.71 fof(f18,plain,(
% 0.57/15.71 ![X0]: (implies(truth,X0)=X0)),
% 0.57/15.71 inference(cnf_transformation,[status(thm)],[f1])).
% 0.57/15.71 fof(f19,plain,(
% 0.57/15.71 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.57/15.71 inference(cnf_transformation,[status(thm)],[f2])).
% 0.57/15.71 fof(f20,plain,(
% 0.57/15.71 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 0.57/15.71 inference(cnf_transformation,[status(thm)],[f3])).
% 0.57/15.71 fof(f21,plain,(
% 0.57/15.71 ![X0,X1]: (implies(implies(not(X0),not(X1)),implies(X1,X0))=truth)),
% 0.57/15.71 inference(cnf_transformation,[status(thm)],[f4])).
% 0.57/15.71 fof(f22,plain,(
% 0.57/15.71 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1))),
% 0.57/15.71 inference(cnf_transformation,[status(thm)],[f5])).
% 0.57/15.71 fof(f24,plain,(
% 0.57/15.71 ![X0,X1]: (or(X0,X1)=or(X1,X0))),
% 0.57/15.71 inference(cnf_transformation,[status(thm)],[f7])).
% 0.57/15.71 fof(f25,plain,(
% 0.57/15.71 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 0.57/15.71 inference(cnf_transformation,[status(thm)],[f8])).
% 0.57/15.71 fof(f28,plain,(
% 0.57/15.71 ![X0,X1]: (xor(X0,X1)=or(and(X0,not(X1)),and(not(X0),X1)))),
% 0.57/15.71 inference(cnf_transformation,[status(thm)],[f11])).
% 0.57/15.71 fof(f33,plain,(
% 0.57/15.71 not(truth)=falsehood),
% 0.57/15.71 inference(cnf_transformation,[status(thm)],[f16])).
% 0.57/15.71 fof(f34,plain,(
% 0.57/15.71 ~xor(x,x)=falsehood),
% 0.57/15.71 inference(cnf_transformation,[status(thm)],[f17])).
% 0.57/15.71 fof(f35,definition,(
% 0.57/15.71 sF0_fnc=xor(x,x)),
% 0.57/15.71 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.57/15.71 fof(f36,plain,(
% 0.57/15.71 ~sF0_fnc=falsehood),
% 0.57/15.71 inference(definition_folding,[],[f34,f35])).
% 0.57/15.71 fof(f37,plain,(
% 0.57/15.71 ![X0,X1]: (implies(or(X0,not(X1)),implies(X1,X0))=truth)),
% 0.57/15.71 inference(backward_demodulation,[status(thm)],[f22,f21])).
% 0.57/15.71 fof(f57,plain,(
% 0.57/15.71 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 0.57/15.71 inference(paramodulation,[status(thm)],[f18,f19])).
% 0.57/15.71 fof(f64,plain,(
% 0.57/15.71 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 0.57/15.71 inference(forward_demodulation,[status(thm)],[f18,f57])).
% 0.57/15.71 fof(f69,plain,(
% 0.57/15.71 ![X0]: (or(truth,X0)=implies(falsehood,X0))),
% 0.57/15.71 inference(paramodulation,[status(thm)],[f33,f22])).
% 0.57/15.71 fof(f75,plain,(
% 0.57/15.71 ![X0]: (or(X0,truth)=implies(falsehood,X0))),
% 0.57/15.71 inference(paramodulation,[status(thm)],[f24,f69])).
% 0.57/15.71 fof(f89,plain,(
% 0.57/15.71 ![X0]: (implies(X0,X0)=implies(implies(X0,truth),truth))),
% 0.57/15.71 inference(paramodulation,[status(thm)],[f18,f20])).
% 0.57/15.71 fof(f104,plain,(
% 0.57/15.71 ![X0]: (implies(implies(truth,X0),X0)=truth)),
% 0.57/15.71 inference(paramodulation,[status(thm)],[f18,f64])).
% 0.57/15.71 fof(f122,plain,(
% 0.57/15.71 ![X0]: (truth=implies(implies(X0,truth),truth))),
% 0.57/15.71 inference(backward_demodulation,[status(thm)],[f123,f89])).
% 0.57/15.71 fof(f123,plain,(
% 0.57/15.71 ![X0]: (implies(X0,X0)=truth)),
% 0.57/15.71 inference(forward_demodulation,[status(thm)],[f18,f104])).
% 0.57/15.71 fof(f134,plain,(
% 0.57/15.71 ![X0]: (or(X0,not(X0))=truth)),
% 0.57/15.71 inference(paramodulation,[status(thm)],[f22,f123])).
% 0.57/15.72 fof(f161,plain,(
% 0.57/15.72 ![X0]: (implies(X0,truth)=truth)),
% 0.57/15.72 inference(paramodulation,[status(thm)],[f122,f64])).
% 0.57/15.72 fof(f194,plain,(
% 0.57/15.72 ![X0]: (or(X0,truth)=truth)),
% 0.57/15.72 inference(paramodulation,[status(thm)],[f22,f161])).
% 0.57/15.72 fof(f211,plain,(
% 0.57/15.72 ![X0]: (truth=implies(falsehood,X0))),
% 0.57/15.72 inference(backward_demodulation,[status(thm)],[f194,f75])).
% 0.57/15.72 fof(f268,plain,(
% 0.57/15.72 ![X0]: (implies(implies(X0,falsehood),falsehood)=implies(truth,X0))),
% 0.57/15.72 inference(paramodulation,[status(thm)],[f211,f20])).
% 0.57/15.72 fof(f273,plain,(
% 0.57/15.72 ![X0]: (implies(implies(X0,falsehood),falsehood)=X0)),
% 0.57/15.72 inference(forward_demodulation,[status(thm)],[f18,f268])).
% 0.57/15.72 fof(f368,plain,(
% 0.57/15.72 ![X0]: (implies(or(X0,falsehood),falsehood)=not(X0))),
% 0.57/15.72 inference(paramodulation,[status(thm)],[f22,f273])).
% 0.57/15.72 fof(f390,plain,(
% 0.57/15.72 ![X0]: (and(X0,not(X0))=not(truth))),
% 0.57/15.72 inference(paramodulation,[status(thm)],[f134,f25])).
% 0.57/15.72 fof(f399,plain,(
% 0.57/15.72 ![X0]: (and(X0,not(X0))=falsehood)),
% 0.57/15.72 inference(forward_demodulation,[status(thm)],[f33,f390])).
% 0.57/15.72 fof(f469,plain,(
% 0.57/15.72 ![X0]: (implies(or(falsehood,X0),falsehood)=not(X0))),
% 0.57/15.72 inference(paramodulation,[status(thm)],[f24,f368])).
% 0.57/15.72 fof(f501,plain,(
% 0.57/15.72 implies(truth,falsehood)=not(not(falsehood))),
% 0.57/15.72 inference(paramodulation,[status(thm)],[f134,f469])).
% 0.57/15.72 fof(f515,plain,(
% 0.57/15.72 falsehood=not(not(falsehood))),
% 0.57/15.72 inference(forward_demodulation,[status(thm)],[f18,f501])).
% 0.57/15.72 fof(f529,plain,(
% 0.57/15.72 ![X0]: (or(not(falsehood),X0)=implies(falsehood,X0))),
% 0.57/15.72 inference(paramodulation,[status(thm)],[f515,f22])).
% 0.57/15.72 fof(f538,plain,(
% 0.57/15.72 ![X0]: (or(not(falsehood),X0)=truth)),
% 0.57/15.72 inference(forward_demodulation,[status(thm)],[f211,f529])).
% 0.57/15.72 fof(f625,plain,(
% 0.57/15.72 ![X0]: (xor(X0,not(not(X0)))=or(and(X0,not(not(not(X0)))),falsehood))),
% 0.57/15.72 inference(paramodulation,[status(thm)],[f399,f28])).
% 0.57/15.72 fof(f764,plain,(
% 0.57/15.72 ![X0]: (implies(truth,implies(X0,not(falsehood)))=truth)),
% 0.57/15.72 inference(paramodulation,[status(thm)],[f538,f37])).
% 0.57/15.72 fof(f802,plain,(
% 0.57/15.72 ![X0]: (implies(X0,not(falsehood))=truth)),
% 0.57/15.72 inference(forward_demodulation,[status(thm)],[f18,f764])).
% 0.57/15.72 fof(f819,plain,(
% 0.57/15.72 not(falsehood)=truth),
% 0.57/15.72 inference(paramodulation,[status(thm)],[f18,f802])).
% 0.57/15.72 fof(f880,plain,(
% 0.57/15.72 ![X0]: (or(falsehood,X0)=implies(truth,X0))),
% 0.57/15.72 inference(paramodulation,[status(thm)],[f819,f22])).
% 0.57/15.72 fof(f892,plain,(
% 0.57/15.72 ![X0]: (implies(X0,falsehood)=not(X0))),
% 0.57/15.72 inference(backward_demodulation,[status(thm)],[f907,f469])).
% 0.57/15.72 fof(f907,plain,(
% 0.57/15.72 ![X0]: (or(falsehood,X0)=X0)),
% 0.57/15.72 inference(forward_demodulation,[status(thm)],[f18,f880])).
% 0.57/15.72 fof(f909,plain,(
% 0.57/15.72 ![X0]: (not(implies(X0,falsehood))=X0)),
% 0.57/15.72 inference(backward_demodulation,[status(thm)],[f892,f273])).
% 0.57/15.72 fof(f931,plain,(
% 0.57/15.72 ![X0]: (xor(X0,not(not(X0)))=or(and(X0,not(X0)),falsehood))),
% 0.57/15.72 inference(backward_demodulation,[status(thm)],[f938,f625])).
% 0.57/15.72 fof(f938,plain,(
% 0.57/15.72 ![X0]: (not(not(X0))=X0)),
% 0.57/15.72 inference(forward_demodulation,[status(thm)],[f892,f909])).
% 0.57/15.72 fof(f953,plain,(
% 0.57/15.72 ![X0]: (xor(X0,X0)=or(and(X0,not(X0)),falsehood))),
% 0.57/15.72 inference(forward_demodulation,[status(thm)],[f938,f931])).
% 0.57/15.72 fof(f954,plain,(
% 0.57/15.72 ![X0]: (xor(X0,X0)=or(falsehood,falsehood))),
% 0.57/15.72 inference(forward_demodulation,[status(thm)],[f399,f953])).
% 0.57/15.72 fof(f955,plain,(
% 0.57/15.72 sF0_fnc=falsehood),
% 0.57/15.72 inference(backward_demodulation,[status(thm)],[f957,f35])).
% 0.57/15.72 fof(f957,plain,(
% 0.57/15.72 ![X0]: (xor(X0,X0)=falsehood)),
% 0.57/15.72 inference(forward_demodulation,[status(thm)],[f907,f954])).
% 0.57/15.72 fof(f960,plain,(
% 0.57/15.72 $false),
% 0.57/15.72 inference(forward_subsumption_resolution,[status(thm)],[f955,f36])).
% 0.57/15.72 % SZS output end CNFRefutation for theBenchmark.p
% 0.57/15.73 % Elapsed time: 0.056376 seconds
% 0.57/15.73 % CPU time: 0.279394 seconds
% 0.57/15.73 % Total memory used: 9.623 MB
% 0.57/15.73 % Net memory used: 9.561 MB
%------------------------------------------------------------------------------