%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL157-1 : 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 : n009.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 0.15s 10.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL157-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/10.38 % Computer : n009.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.38 % WCLimit : 300
% 0.12/10.38 % DateTime : Mon Sep 21 00:07:53 UTC 2026
% 0.12/10.38 % CPUTime :
% 0.12/10.39 % Drodi V4.1.1
% 0.15/10.40 % Refutation found
% 0.15/10.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/10.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.40 fof(f1,axiom,(
% 0.15/10.40 (![X]: (implies(truth,X) = X ))),
% 0.15/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.40 fof(f2,axiom,(
% 0.15/10.40 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.15/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.40 fof(f3,axiom,(
% 0.15/10.40 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 0.15/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.40 fof(f4,axiom,(
% 0.15/10.40 (![X,Y]: (implies(implies(not(X),not(Y)),implies(Y,X)) = truth ))),
% 0.15/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.40 fof(f5,axiom,(
% 0.15/10.40 (![X,Y]: (or(X,Y) = implies(not(X),Y) ))),
% 0.15/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.40 fof(f6,axiom,(
% 0.15/10.40 (![X,Y,Z]: (or(or(X,Y),Z) = or(X,or(Y,Z)) ))),
% 0.15/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.40 fof(f7,axiom,(
% 0.15/10.40 (![X,Y]: (or(X,Y) = or(Y,X) ))),
% 0.15/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.40 fof(f8,axiom,(
% 0.15/10.40 (![X,Y]: (and(X,Y) = not(or(not(X),not(Y))) ))),
% 0.15/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.40 fof(f13,axiom,(
% 0.15/10.40 (![X,Y]: (and_star(X,Y) = not(or(not(X),not(Y))) ))),
% 0.15/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.40 fof(f15,axiom,(
% 0.15/10.40 (![X,Y]: (and_star(X,Y) = and_star(Y,X) ))),
% 0.15/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.40 fof(f16,axiom,(
% 0.15/10.40 not(truth) = falsehood ),
% 0.15/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.40 fof(f17,negated_conjecture,(
% 0.15/10.40 and_star(x,falsehood) != falsehood ),
% 0.15/10.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/10.40 fof(f18,plain,(
% 0.15/10.40 ![X0]: (implies(truth,X0)=X0)),
% 0.15/10.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/10.40 fof(f19,plain,(
% 0.15/10.40 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.15/10.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/10.40 fof(f20,plain,(
% 0.15/10.40 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 0.15/10.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/10.40 fof(f21,plain,(
% 0.15/10.40 ![X0,X1]: (implies(implies(not(X0),not(X1)),implies(X1,X0))=truth)),
% 0.15/10.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/10.40 fof(f22,plain,(
% 0.15/10.40 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1))),
% 0.15/10.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/10.40 fof(f23,plain,(
% 0.15/10.40 ![X0,X1,X2]: (or(or(X0,X1),X2)=or(X0,or(X1,X2)))),
% 0.15/10.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/10.40 fof(f24,plain,(
% 0.15/10.40 ![X0,X1]: (or(X0,X1)=or(X1,X0))),
% 0.15/10.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/10.40 fof(f25,plain,(
% 0.15/10.40 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1))))),
% 0.15/10.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/10.40 fof(f30,plain,(
% 0.15/10.40 ![X0,X1]: (and_star(X0,X1)=not(or(not(X0),not(X1))))),
% 0.15/10.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/10.40 fof(f32,plain,(
% 0.15/10.40 ![X0,X1]: (and_star(X0,X1)=and_star(X1,X0))),
% 0.15/10.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/10.40 fof(f33,plain,(
% 0.15/10.40 not(truth)=falsehood),
% 0.15/10.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/10.40 fof(f34,plain,(
% 0.15/10.40 ~and_star(x,falsehood)=falsehood),
% 0.15/10.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/10.40 fof(f35,definition,(
% 0.15/10.40 sF0_fnc=and_star(x,falsehood)),
% 0.15/10.40 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.15/10.40 fof(f36,plain,(
% 0.15/10.40 ~sF0_fnc=falsehood),
% 0.15/10.40 inference(definition_folding,[],[f34,f35])).
% 0.15/10.40 fof(f37,plain,(
% 0.15/10.40 ![X0,X1]: (implies(or(X0,not(X1)),implies(X1,X0))=truth)),
% 0.15/10.40 inference(backward_demodulation,[status(thm)],[f22,f21])).
% 0.15/10.40 fof(f38,plain,(
% 0.15/10.40 ![X0,X1]: (and_star(X0,X1)=and(X0,X1))),
% 0.15/10.40 inference(forward_demodulation,[status(thm)],[f25,f30])).
% 0.15/10.40 fof(f43,plain,(
% 0.15/10.40 ![X0,X1]: (and(X0,X1)=and_star(X1,X0))),
% 0.15/10.40 inference(forward_demodulation,[status(thm)],[f38,f32])).
% 0.15/10.40 fof(f44,plain,(
% 0.15/10.40 sF0_fnc=and(falsehood,x)),
% 0.15/10.40 inference(forward_demodulation,[status(thm)],[f43,f35])).
% 0.15/10.40 fof(f60,plain,(
% 0.15/10.40 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 0.15/10.40 inference(paramodulation,[status(thm)],[f18,f19])).
% 0.15/10.40 fof(f67,plain,(
% 0.15/10.40 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 0.15/10.40 inference(forward_demodulation,[status(thm)],[f18,f60])).
% 0.15/10.40 fof(f73,plain,(
% 0.15/10.40 ![X0]: (implies(X0,X0)=implies(implies(X0,truth),truth))),
% 0.15/10.40 inference(paramodulation,[status(thm)],[f18,f20])).
% 0.15/10.40 fof(f86,plain,(
% 0.15/10.40 ![X0]: (or(truth,X0)=implies(falsehood,X0))),
% 0.15/10.40 inference(paramodulation,[status(thm)],[f33,f22])).
% 0.15/10.40 fof(f94,plain,(
% 0.15/10.40 ![X0]: (or(X0,truth)=implies(falsehood,X0))),
% 0.15/10.40 inference(paramodulation,[status(thm)],[f24,f86])).
% 0.15/10.40 fof(f105,plain,(
% 0.15/10.40 ![X0]: (implies(implies(truth,X0),X0)=truth)),
% 0.15/10.40 inference(paramodulation,[status(thm)],[f18,f67])).
% 0.15/10.40 fof(f123,plain,(
% 0.15/10.40 ![X0]: (truth=implies(implies(X0,truth),truth))),
% 0.15/10.40 inference(backward_demodulation,[status(thm)],[f124,f73])).
% 0.15/10.40 fof(f124,plain,(
% 0.15/10.40 ![X0]: (implies(X0,X0)=truth)),
% 0.15/10.40 inference(forward_demodulation,[status(thm)],[f18,f105])).
% 0.15/10.40 fof(f135,plain,(
% 0.15/10.40 ![X0]: (or(X0,not(X0))=truth)),
% 0.15/10.40 inference(paramodulation,[status(thm)],[f22,f124])).
% 0.15/10.40 fof(f152,plain,(
% 0.15/10.40 ![X0,X1]: (or(implies(falsehood,X0),X1)=or(truth,or(X0,X1)))),
% 0.15/10.40 inference(paramodulation,[status(thm)],[f86,f23])).
% 0.15/10.40 fof(f162,plain,(
% 0.15/10.40 ![X0,X1]: (or(implies(falsehood,X0),X1)=implies(falsehood,or(X0,X1)))),
% 0.15/10.40 inference(forward_demodulation,[status(thm)],[f86,f152])).
% 0.15/10.40 fof(f199,plain,(
% 0.15/10.40 ![X0]: (implies(X0,truth)=truth)),
% 0.15/10.40 inference(paramodulation,[status(thm)],[f123,f67])).
% 0.15/10.40 fof(f232,plain,(
% 0.15/10.40 ![X0]: (or(X0,truth)=truth)),
% 0.15/10.40 inference(paramodulation,[status(thm)],[f22,f199])).
% 0.15/10.40 fof(f250,plain,(
% 0.15/10.40 ![X0]: (truth=implies(falsehood,X0))),
% 0.15/10.40 inference(backward_demodulation,[status(thm)],[f232,f94])).
% 0.15/10.40 fof(f267,plain,(
% 0.15/10.40 ![X0,X1]: (or(implies(falsehood,X0),X1)=truth)),
% 0.15/10.40 inference(backward_demodulation,[status(thm)],[f250,f162])).
% 0.15/10.40 fof(f276,plain,(
% 0.15/10.40 ![X0]: (or(truth,X0)=truth)),
% 0.15/10.40 inference(forward_demodulation,[status(thm)],[f250,f267])).
% 0.15/10.40 fof(f424,plain,(
% 0.15/10.40 ![X0]: (implies(or(X0,falsehood),implies(truth,X0))=truth)),
% 0.15/10.40 inference(paramodulation,[status(thm)],[f33,f37])).
% 0.15/10.40 fof(f441,plain,(
% 0.15/10.40 ![X0]: (implies(or(X0,falsehood),X0)=truth)),
% 0.15/10.40 inference(forward_demodulation,[status(thm)],[f18,f424])).
% 0.15/10.40 fof(f744,plain,(
% 0.15/10.40 ![X0]: (implies(or(falsehood,X0),X0)=truth)),
% 0.15/10.40 inference(paramodulation,[status(thm)],[f24,f441])).
% 0.15/10.40 fof(f780,plain,(
% 0.15/10.40 implies(truth,not(falsehood))=truth),
% 0.15/10.40 inference(paramodulation,[status(thm)],[f135,f744])).
% 0.15/10.40 fof(f798,plain,(
% 0.15/10.40 not(falsehood)=truth),
% 0.15/10.40 inference(forward_demodulation,[status(thm)],[f18,f780])).
% 0.15/10.40 fof(f870,plain,(
% 0.15/10.40 ![X0]: (and(falsehood,X0)=not(or(truth,not(X0))))),
% 0.15/10.40 inference(paramodulation,[status(thm)],[f798,f25])).
% 0.15/10.40 fof(f896,plain,(
% 0.15/10.40 ![X0]: (and(falsehood,X0)=not(truth))),
% 0.15/10.40 inference(forward_demodulation,[status(thm)],[f276,f870])).
% 0.15/10.40 fof(f900,plain,(
% 0.15/10.40 sF0_fnc=falsehood),
% 0.15/10.40 inference(backward_demodulation,[status(thm)],[f917,f44])).
% 0.15/10.40 fof(f917,plain,(
% 0.15/10.40 ![X0]: (and(falsehood,X0)=falsehood)),
% 0.15/10.40 inference(forward_demodulation,[status(thm)],[f33,f896])).
% 0.15/10.40 fof(f961,plain,(
% 0.15/10.40 $false),
% 0.15/10.40 inference(forward_subsumption_resolution,[status(thm)],[f900,f36])).
% 0.15/10.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/10.42 % Elapsed time: 0.031935 seconds
% 0.15/10.42 % CPU time: 0.111964 seconds
% 0.15/10.42 % Total memory used: 4.612 MB
% 0.15/10.42 % Net memory used: 4.577 MB
%------------------------------------------------------------------------------