%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ITP018+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 0.08s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP018+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.52 % Computer : n020.cluster.edu
% 0.08/0.52 % Model : x86_64 x86_64
% 0.08/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.52 % Memory : 8046.5625MB
% 0.08/0.52 % OS : Linux 6.8.0-71-generic
% 0.08/0.52 % CPULimit : 300
% 0.08/0.52 % WCLimit : 300
% 0.08/0.52 % DateTime : Sun Sep 20 21:51:49 UTC 2026
% 0.08/0.52 % CPUTime :
% 0.08/0.53 % Drodi V4.1.1
% 0.08/0.55 % Refutation found
% 0.08/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.55 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.55 fof(f30,axiom,(
% 0.08/0.55 (! [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))))) )),
% 0.08/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.55 fof(f31,axiom,(
% 0.08/0.55 (! [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))))) )),
% 0.08/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.55 fof(f34,conjecture,(
% 0.08/0.55 (! [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))))))) )),
% 0.08/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.55 fof(f35,negated_conjecture,(
% 0.08/0.55 ~((! [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))))))) ))),
% 0.08/0.55 inference(negated_conjecture,[status(cth)],[f34])).
% 0.08/0.55 fof(f116,plain,(
% 0.08/0.55 ![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))))))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f30])).
% 0.08/0.55 fof(f117,plain,(
% 0.08/0.55 ![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))))))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f31])).
% 0.08/0.55 fof(f123,plain,(
% 0.08/0.55 (?[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))))))))),
% 0.08/0.55 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.08/0.55 fof(f124,plain,(
% 0.08/0.55 ~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(sK3_skl,sK4_skl)),c_2Ebool_2Ethe__value_2E0)))))=s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK3_skl,sK4_skl),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK3_skl,sK4_skl),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3_skl,sK4_skl)),c_2Ebool_2Ethe__value_2E0)))))))),
% 0.08/0.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(A_27t,sK3_skl),skolemize(A_27w,sK4_skl)],[f123])).
% 0.08/0.55 fof(f125,plain,(
% 0.08/0.55 ~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(sK3_skl,sK4_skl)),c_2Ebool_2Ethe__value_2E0)))))=s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK3_skl,sK4_skl),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK3_skl,sK4_skl),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3_skl,sK4_skl)),c_2Ebool_2Ethe__value_2E0)))))))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f124])).
% 0.08/0.55 fof(f127,plain,(
% 0.08/0.55 ~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(sK3_skl,sK4_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(sK3_skl,sK4_skl),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK3_skl,sK4_skl)),c_2Ebool_2Ethe__value_2E0)))))))),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f116,f125])).
% 0.08/0.55 fof(f128,plain,(
% 0.08/0.55 ~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(sK3_skl,sK4_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(sK3_skl,sK4_skl)),c_2Ebool_2Ethe__value_2E0)))))),
% 0.08/0.55 inference(backward_demodulation,[status(thm)],[f117,f127])).
% 0.08/0.55 fof(f129,plain,(
% 0.08/0.55 $false),
% 0.08/0.55 inference(trivial_equality_resolution,[status(thm)],[f128])).
% 0.08/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.58 % Elapsed time: 0.054775 seconds
% 0.13/0.58 % CPU time: 0.147634 seconds
% 0.13/0.58 % Total memory used: 104.851 MB
% 0.13/0.58 % Net memory used: 104.684 MB
%------------------------------------------------------------------------------