%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWX186-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 03:13:44 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX186-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n014.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:30:50 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (![Q]: (impl(btrue,Q) = Q ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (![Z]: (drop(s(Z),nil) = nil ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,axiom,(
% 0.14/0.40 (![Z,X2,X3]: (drop(s(Z),cons(X2,X3)) = drop(Z,X3) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,axiom,(
% 0.14/0.40 (![X,Y,Z]: (prop_drop_inj2(X,Y,Z) = impl(eq(drop(X,Y),drop(X,Z)),eq(Y,Z)) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f12,axiom,(
% 0.14/0.40 (![X]: (eq(X,X) = btrue ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f14,axiom,(
% 0.14/0.40 (![X]: (eq3(X,X) = btrue ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f17,axiom,(
% 0.14/0.40 (![X,Y]: (eq(nil,cons(X,Y)) = bfalse ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f19,negated_conjecture,(
% 0.14/0.40 (![X,Y,Z]: (eq3(prop_drop_inj2(X,Y,Z),bfalse) != btrue ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f20,plain,(
% 0.14/0.40 ![X0]: (impl(btrue,X0)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f22,plain,(
% 0.14/0.40 ![X0]: (drop(s(X0),nil)=nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f23,plain,(
% 0.14/0.40 ![X0,X1,X2]: (drop(s(X0),cons(X1,X2))=drop(X0,X2))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.40 fof(f25,plain,(
% 0.14/0.40 ![X0,X1,X2]: (prop_drop_inj2(X0,X1,X2)=impl(eq(drop(X0,X1),drop(X0,X2)),eq(X1,X2)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f31,plain,(
% 0.14/0.40 ![X0]: (eq(X0,X0)=btrue)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.40 fof(f33,plain,(
% 0.14/0.40 ![X0]: (eq3(X0,X0)=btrue)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.40 fof(f38,plain,(
% 0.14/0.40 ![X0,X1]: (eq(nil,cons(X0,X1))=bfalse)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.40 fof(f40,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~eq3(prop_drop_inj2(X0,X1,X2),bfalse)=btrue)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f60,plain,(
% 0.14/0.40 ![X0,X1]: (prop_drop_inj2(s(X0),nil,X1)=impl(eq(nil,drop(s(X0),X1)),eq(nil,X1)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f22,f25])).
% 0.14/0.40 fof(f79,plain,(
% 0.14/0.40 ![X0,X1,X2]: (prop_drop_inj2(s(X0),nil,cons(X1,X2))=impl(eq(nil,drop(s(X0),cons(X1,X2))),bfalse))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f38,f60])).
% 0.14/0.40 fof(f83,plain,(
% 0.14/0.40 ![X0,X1,X2]: (prop_drop_inj2(s(X0),nil,cons(X1,X2))=impl(eq(nil,drop(X0,X2)),bfalse))),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f23,f79])).
% 0.14/0.40 fof(f170,plain,(
% 0.14/0.40 ![X0,X1]: (~eq3(impl(eq(nil,drop(X0,X1)),bfalse),bfalse)=btrue)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f83,f40])).
% 0.14/0.40 fof(f175,plain,(
% 0.14/0.40 ~eq3(impl(eq(nil,nil),bfalse),bfalse)=btrue),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f22,f170])).
% 0.14/0.40 fof(f177,plain,(
% 0.14/0.40 ~eq3(impl(btrue,bfalse),bfalse)=btrue),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f31,f175])).
% 0.14/0.40 fof(f178,plain,(
% 0.14/0.40 ~eq3(bfalse,bfalse)=btrue),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f20,f177])).
% 0.14/0.40 fof(f179,plain,(
% 0.14/0.40 ~btrue=btrue),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f33,f178])).
% 0.14/0.40 fof(f180,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f179])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.060683 seconds
% 0.14/0.43 % CPU time: 0.172712 seconds
% 0.14/0.43 % Total memory used: 40.308 MB
% 0.14/0.43 % Net memory used: 40.134 MB
%------------------------------------------------------------------------------