%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ITP018+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 12:52:00 PM UTC 2026
% Result : Theorem 44.08s 25.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP018+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 21:51:08 UTC 2026
% 0.09/0.36 % CPUTime :
% 22.45/22.71 % Drodi V4.1.1
% 44.08/25.55 % Refutation found
% 44.08/25.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 44.08/25.55 % SZS output start CNFRefutation for theBenchmark
% 44.08/25.55 fof(f249,axiom,(
% 44.08/25.55 (! [A_27a,V0i_2E0] : s(tyop_2Ebool_2Eitself(A_27a),V0i_2E0) = s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0) )),
% 44.08/25.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.08/25.55 fof(f23087,axiom,(
% 44.08/25.55 (! [A_27a,A_27b,V0x_2E0] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0))))) )),
% 44.08/25.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.08/25.55 fof(f23089,axiom,(
% 44.08/25.55 (! [A_27t,A_27w] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))) )),
% 44.08/25.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.08/25.55 fof(f23090,conjecture,(
% 44.08/25.55 (! [A_27t,A_27w] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))))) )),
% 44.08/25.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.08/25.55 fof(f23091,negated_conjecture,(
% 44.08/25.55 ~((! [A_27t,A_27w] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))))) ))),
% 44.08/25.55 inference(negated_conjecture,[status(cth)],[f23090])).
% 44.08/25.55 fof(f24217,plain,(
% 44.08/25.55 ![X0,X1]: (s(tyop_2Ebool_2Eitself(X0),X1)=s(tyop_2Ebool_2Eitself(X0),c_2Ebool_2Ethe__value_2E0))),
% 44.08/25.55 inference(cnf_transformation,[status(thm)],[f249])).
% 44.08/25.55 fof(f87424,plain,(
% 44.08/25.55 ![X0,X1,X2]: (s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))))=s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2))))))),
% 44.08/25.55 inference(cnf_transformation,[status(thm)],[f23087])).
% 44.08/25.55 fof(f87426,plain,(
% 44.08/25.55 ![X0,X1]: (s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))=s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))))),
% 44.08/25.55 inference(cnf_transformation,[status(thm)],[f23089])).
% 44.08/25.55 fof(f87427,plain,(
% 44.08/25.55 (?[A_27t,A_27w]: ~s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0)))))=s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))))))),
% 48.07/26.04 inference(pre_NNF_transformation,[status(thm)],[f23091])).
% 48.07/26.04 fof(f87428,plain,(
% 48.07/26.04 ~s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK24719_skl,sK24720_skl)),c_2Ebool_2Ethe__value_2E0)))))=s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK24719_skl,sK24720_skl),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK24719_skl,sK24720_skl),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK24719_skl,sK24720_skl)),c_2Ebool_2Ethe__value_2E0)))))))),
% 48.07/26.04 inference(skolemize,[status(esa),new_symbols(skolem,[sK24719_skl,sK24720_skl]),skolemize(A_27t,sK24719_skl),skolemize(A_27w,sK24720_skl)],[f87427])).
% 48.07/26.04 fof(f87429,plain,(
% 48.07/26.04 ~s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK24719_skl,sK24720_skl)),c_2Ebool_2Ethe__value_2E0)))))=s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK24719_skl,sK24720_skl),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK24719_skl,sK24720_skl),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK24719_skl,sK24720_skl)),c_2Ebool_2Ethe__value_2E0)))))))),
% 48.07/26.04 inference(cnf_transformation,[status(thm)],[f87428])).
% 48.07/26.04 fof(f101823,plain,(
% 48.07/26.04 ![X0]: (~s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK24719_skl,sK24720_skl)),c_2Ebool_2Ethe__value_2E0)))))=s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK24719_skl,sK24720_skl),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK24719_skl,sK24720_skl),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK24719_skl,sK24720_skl)),X0))))))))),
% 48.07/26.04 inference(paramodulation,[status(thm)],[f24217,f87429])).
% 48.07/26.04 fof(f109552,plain,(
% 48.07/26.04 ![X0]: (~s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK24719_skl,sK24720_skl)),c_2Ebool_2Ethe__value_2E0)))))=s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK24719_skl,sK24720_skl),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK24719_skl,sK24720_skl)),X0))))))))),
% 48.07/26.04 inference(backward_demodulation,[status(thm)],[f87424,f101823])).
% 48.07/26.04 fof(f109938,plain,(
% 48.07/26.04 ~s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK24719_skl,sK24720_skl)),c_2Ebool_2Ethe__value_2E0)))))=s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK24719_skl,sK24720_skl)),c_2Ebool_2Ethe__value_2E0)))))),
% 48.07/26.04 inference(paramodulation,[status(thm)],[f87426,f109552])).
% 48.07/26.04 fof(f109958,plain,(
% 48.07/26.04 $false),
% 48.07/26.04 inference(trivial_equality_resolution,[status(thm)],[f109938])).
% 48.07/26.04 % SZS output end CNFRefutation for theBenchmark.p
% 23.33/26.46 % Elapsed time: 25.935214 seconds
% 23.33/26.46 % CPU time: 45.294701 seconds
% 23.33/26.46 % Total memory used: 7.031 GB
% 23.33/26.46 % Net memory used: 7.014 GB
%------------------------------------------------------------------------------