%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWX224+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 : 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 03:13:50 PM UTC 2026
% Result : Theorem 0.15s 6.18s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX224+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
% 0.09/5.37 % Computer : n007.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 10:34:11 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.15/6.18 % Refutation found
% 0.15/6.18 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/6.18 % SZS output start CNFRefutation for theBenchmark
% 0.15/6.18 fof(f25,axiom,(
% 0.15/6.18 (! [Z,Xs] : index(cons(Z,Xs),zero) = just(Z) )),
% 0.15/6.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/6.18 fof(f26,axiom,(
% 0.15/6.18 (! [Z,Xs,N] : index(cons(Z,Xs),suc(N)) = index(Xs,N) )),
% 0.15/6.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/6.18 fof(f27,axiom,(
% 0.15/6.18 (! [X,Z,F,X2,Tx] :( tc(X,app(F,X2,Tx),Z)<=> ( tc(X,F,arr(Tx,Z))& tc(X,X2,Tx) ) ) )),
% 0.15/6.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/6.18 fof(f29,axiom,(
% 0.15/6.18 (! [X,E,Tx2,T1] :( tc(X,lam(E),arr(Tx2,T1))<=> tc(cons(Tx2,X),E,T1) ) )),
% 0.15/6.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/6.18 fof(f31,axiom,(
% 0.15/6.18 (! [X,Z,X3,Tx3] :( index(X,X3) = just(Tx3)=> ( tc(X,var(X3),Z)<=> Tx3 = Z ) ) )),
% 0.15/6.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/6.18 fof(f32,conjecture,(
% 0.15/6.18 (? [E] : tc(nil,E,arr(arr(a,arr(a,b)),arr(a,b))) )),
% 0.15/6.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/6.18 fof(f33,negated_conjecture,(
% 0.15/6.18 ~((? [E] : tc(nil,E,arr(arr(a,arr(a,b)),arr(a,b))) ))),
% 0.15/6.18 inference(negated_conjecture,[status(cth)],[f32])).
% 0.15/6.18 fof(f58,plain,(
% 0.15/6.18 ![X0,X1]: (index(cons(X0,X1),zero)=just(X0))),
% 0.15/6.18 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/6.18 fof(f59,plain,(
% 0.15/6.18 ![X0,X1,X2]: (index(cons(X0,X1),suc(X2))=index(X1,X2))),
% 0.15/6.18 inference(cnf_transformation,[status(thm)],[f26])).
% 0.15/6.18 fof(f60,plain,(
% 0.15/6.18 ![X,Z,F,X2,Tx]: ((~tc(X,app(F,X2,Tx),Z)|(tc(X,F,arr(Tx,Z))&tc(X,X2,Tx)))&(tc(X,app(F,X2,Tx),Z)|(~tc(X,F,arr(Tx,Z))|~tc(X,X2,Tx))))),
% 0.15/6.18 inference(NNF_transformation,[status(thm)],[f27])).
% 0.15/6.18 fof(f61,plain,(
% 0.15/6.18 (![X,Z,F,X2,Tx]: (~tc(X,app(F,X2,Tx),Z)|(tc(X,F,arr(Tx,Z))&tc(X,X2,Tx))))&(![X,Z,F,X2,Tx]: (tc(X,app(F,X2,Tx),Z)|(~tc(X,F,arr(Tx,Z))|~tc(X,X2,Tx))))),
% 0.15/6.18 inference(miniscoping,[status(thm)],[f60])).
% 0.15/6.18 fof(f64,plain,(
% 0.15/6.18 ![X0,X1,X2,X3,X4]: (tc(X0,app(X1,X2,X3),X4)|~tc(X0,X1,arr(X3,X4))|~tc(X0,X2,X3))),
% 0.15/6.18 inference(cnf_transformation,[status(thm)],[f61])).
% 0.15/6.18 fof(f68,plain,(
% 0.15/6.18 ![X,E,Tx2,T1]: ((~tc(X,lam(E),arr(Tx2,T1))|tc(cons(Tx2,X),E,T1))&(tc(X,lam(E),arr(Tx2,T1))|~tc(cons(Tx2,X),E,T1)))),
% 0.15/6.18 inference(NNF_transformation,[status(thm)],[f29])).
% 0.15/6.18 fof(f69,plain,(
% 0.15/6.18 (![X,E,Tx2,T1]: (~tc(X,lam(E),arr(Tx2,T1))|tc(cons(Tx2,X),E,T1)))&(![X,E,Tx2,T1]: (tc(X,lam(E),arr(Tx2,T1))|~tc(cons(Tx2,X),E,T1)))),
% 0.15/6.18 inference(miniscoping,[status(thm)],[f68])).
% 0.15/6.18 fof(f71,plain,(
% 0.15/6.18 ![X0,X1,X2,X3]: (tc(X0,lam(X1),arr(X2,X3))|~tc(cons(X2,X0),X1,X3))),
% 0.15/6.18 inference(cnf_transformation,[status(thm)],[f69])).
% 0.15/6.18 fof(f75,plain,(
% 0.15/6.18 ![X,Z,X3,Tx3]: (~index(X,X3)=just(Tx3)|(tc(X,var(X3),Z)<=>Tx3=Z))),
% 0.15/6.18 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.15/6.18 fof(f76,plain,(
% 0.15/6.18 ![X,Z,X3,Tx3]: (~index(X,X3)=just(Tx3)|((~tc(X,var(X3),Z)|Tx3=Z)&(tc(X,var(X3),Z)|~Tx3=Z)))),
% 0.15/6.18 inference(NNF_transformation,[status(thm)],[f75])).
% 0.15/6.18 fof(f77,plain,(
% 0.15/6.18 ![X,X3,Tx3]: (~index(X,X3)=just(Tx3)|((![Z]: (~tc(X,var(X3),Z)|Tx3=Z))&(![Z]: (tc(X,var(X3),Z)|~Tx3=Z))))),
% 0.15/6.18 inference(miniscoping,[status(thm)],[f76])).
% 0.15/6.18 fof(f79,plain,(
% 0.15/6.18 ![X0,X1,X2,X3]: (~index(X0,X1)=just(X2)|tc(X0,var(X1),X3)|~X2=X3)),
% 0.15/6.18 inference(cnf_transformation,[status(thm)],[f77])).
% 0.15/6.18 fof(f80,plain,(
% 0.15/6.18 (![E]: ~tc(nil,E,arr(arr(a,arr(a,b)),arr(a,b))))),
% 0.15/6.18 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.15/6.18 fof(f81,plain,(
% 0.15/6.18 ![X0]: (~tc(nil,X0,arr(arr(a,arr(a,b)),arr(a,b))))),
% 0.15/6.18 inference(cnf_transformation,[status(thm)],[f80])).
% 0.15/6.18 fof(f82,plain,(
% 0.15/6.18 ![X0,X1,X2]: (~index(X0,X1)=just(X2)|tc(X0,var(X1),X2))),
% 0.15/6.18 inference(destructive_equality_resolution,[status(thm)],[f79])).
% 0.15/6.18 fof(f96,plain,(
% 0.15/6.18 ![X0,X1]: (tc(cons(X0,X1),var(zero),X0))),
% 0.15/6.18 inference(resolution,[status(thm)],[f82,f58])).
% 0.15/6.18 fof(f97,plain,(
% 0.15/6.18 ![X0,X1,X2,X3]: (~index(X0,X1)=just(X2)|tc(cons(X3,X0),var(suc(X1)),X2))),
% 0.15/6.18 inference(paramodulation,[status(thm)],[f59,f82])).
% 0.15/6.18 fof(f109,plain,(
% 0.15/6.18 ![X0]: (~tc(cons(arr(a,arr(a,b)),nil),X0,arr(a,b)))),
% 0.15/6.18 inference(resolution,[status(thm)],[f71,f81])).
% 0.15/6.18 fof(f121,plain,(
% 0.15/6.18 ![X0]: (~tc(cons(a,cons(arr(a,arr(a,b)),nil)),X0,b))),
% 0.15/6.18 inference(resolution,[status(thm)],[f109,f71])).
% 0.15/6.18 fof(f123,plain,(
% 0.15/6.18 ![X0,X1,X2]: (~tc(cons(a,cons(arr(a,arr(a,b)),nil)),X0,arr(X1,b))|~tc(cons(a,cons(arr(a,arr(a,b)),nil)),X2,X1))),
% 0.15/6.19 inference(resolution,[status(thm)],[f121,f64])).
% 0.15/6.19 fof(f157,plain,(
% 0.15/6.19 ![X0]: (~tc(cons(a,cons(arr(a,arr(a,b)),nil)),X0,arr(a,b)))),
% 0.15/6.19 inference(resolution,[status(thm)],[f123,f96])).
% 0.15/6.19 fof(f163,plain,(
% 0.15/6.19 ![X0,X1,X2]: (tc(cons(X0,cons(X1,X2)),var(suc(zero)),X1))),
% 0.15/6.19 inference(resolution,[status(thm)],[f97,f58])).
% 0.15/6.19 fof(f279,plain,(
% 0.15/6.19 ![X0,X1,X2]: (~tc(cons(a,cons(arr(a,arr(a,b)),nil)),X0,arr(X1,arr(a,b)))|~tc(cons(a,cons(arr(a,arr(a,b)),nil)),X2,X1))),
% 0.15/6.19 inference(resolution,[status(thm)],[f157,f64])).
% 0.15/6.19 fof(f1068,plain,(
% 0.15/6.19 ![X0]: (~tc(cons(a,cons(arr(a,arr(a,b)),nil)),X0,arr(a,arr(a,b))))),
% 0.15/6.19 inference(resolution,[status(thm)],[f279,f96])).
% 0.15/6.19 fof(f1074,plain,(
% 0.15/6.19 $false),
% 0.15/6.19 inference(resolution,[status(thm)],[f1068,f163])).
% 0.15/6.19 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/6.21 % Elapsed time: 0.824485 seconds
% 0.25/6.21 % CPU time: 6.267019 seconds
% 0.25/6.21 % Total memory used: 171.850 MB
% 0.25/6.21 % Net memory used: 161.510 MB
%------------------------------------------------------------------------------