%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ITP018+1 : TPTP v9.0.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 06:52:09 PM UTC 2025
% Result : Theorem 4.48s 2.17s
% Output : CNFRefutation 4.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 22 con; 0-4 aty)
% Number of variables : 12 ( 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p > tyop_2Epair_2Eprod > tyop_2Emin_2Efun > tyop_2Ebinary__ieee_2Efloat > s > c_2Emin_2E_3D_3D_3E_2E2 > c_2Emin_2E_3D_2E2 > c_2Ebool_2E_5C_2F_2E2 > c_2Ebool_2E_2F_5C_2E2 > app_2E2 > #nlpp > tyop_2Ebool_2Eitself > c_2Erealax_2Ereal__neg_2E1 > c_2Ebool_2E_7E_2E1 > c_2Ebool_2E_3F_2E1 > c_2Ebool_2E_21_2E1 > c_2Ebinary__ieee_2Eulp_2E1 > c_2Ebinary__ieee_2Efloat__to__real_2E1 > c_2Ebinary__ieee_2Efloat__plus__min_2E1 > c_2Ebinary__ieee_2Efloat__negate_2E1 > tyop_2Erealax_2Ereal > tyop_2Emin_2Ebool > combin_s_2E0 > combin_k_2E0 > combin_i_2E0 > c_2Erealax_2Ereal__neg_2E0 > c_2Emin_2E_3D_3D_3E_2E0 > c_2Emin_2E_3D_2E0 > c_2Ebool_2Ethe__value_2E0 > c_2Ebool_2E_7E_2E0 > c_2Ebool_2E_5C_2F_2E0 > c_2Ebool_2E_3F_2E0 > c_2Ebool_2E_2F_5C_2E0 > c_2Ebool_2E_21_2E0 > c_2Ebool_2ET_2E0 > c_2Ebool_2EF_2E0 > c_2Ebinary__ieee_2Eulp_2E0 > c_2Ebinary__ieee_2Efloat__to__real_2E0 > c_2Ebinary__ieee_2Efloat__plus__min_2E0 > c_2Ebinary__ieee_2Efloat__negate_2E0 > #skF_3 > #skF_5 > #skF_4 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_2Ebool_2E_21_2E0,type,
c_2Ebool_2E_21_2E0: $i ).
tff(app_2E2,type,
app_2E2: ( $i * $i ) > $i ).
tff(c_2Ebinary__ieee_2Efloat__plus__min_2E0,type,
c_2Ebinary__ieee_2Efloat__plus__min_2E0: $i ).
tff(c_2Ebool_2E_2F_5C_2E2,type,
c_2Ebool_2E_2F_5C_2E2: ( $i * $i ) > $i ).
tff(tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: $i ).
tff(tyop_2Ebool_2Eitself,type,
tyop_2Ebool_2Eitself: $i > $i ).
tff(c_2Ebool_2E_7E_2E0,type,
c_2Ebool_2E_7E_2E0: $i ).
tff(c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: $i ).
tff(c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: ( $i * $i ) > $i ).
tff(c_2Ebinary__ieee_2Efloat__negate_2E1,type,
c_2Ebinary__ieee_2Efloat__negate_2E1: $i > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(tyop_2Epair_2Eprod,type,
tyop_2Epair_2Eprod: ( $i * $i ) > $i ).
tff(p,type,
p: $i > $o ).
tff(c_2Erealax_2Ereal__neg_2E0,type,
c_2Erealax_2Ereal__neg_2E0: $i ).
tff(c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2: ( $i * $i ) > $i ).
tff(c_2Ebool_2E_5C_2F_2E2,type,
c_2Ebool_2E_5C_2F_2E2: ( $i * $i ) > $i ).
tff(combin_s_2E0,type,
combin_s_2E0: $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(c_2Ebool_2E_2F_5C_2E0,type,
c_2Ebool_2E_2F_5C_2E0: $i ).
tff(tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: ( $i * $i ) > $i ).
tff(c_2Ebool_2Ethe__value_2E0,type,
c_2Ebool_2Ethe__value_2E0: $i ).
tff(c_2Erealax_2Ereal__neg_2E1,type,
c_2Erealax_2Ereal__neg_2E1: $i > $i ).
tff(c_2Ebool_2ET_2E0,type,
c_2Ebool_2ET_2E0: $i ).
tff(c_2Ebinary__ieee_2Efloat__plus__min_2E1,type,
c_2Ebinary__ieee_2Efloat__plus__min_2E1: $i > $i ).
tff(c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0: $i ).
tff(c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1: $i > $i ).
tff(c_2Ebinary__ieee_2Efloat__negate_2E0,type,
c_2Ebinary__ieee_2Efloat__negate_2E0: $i ).
tff(tyop_2Ebinary__ieee_2Efloat,type,
tyop_2Ebinary__ieee_2Efloat: ( $i * $i ) > $i ).
tff(c_2Ebinary__ieee_2Efloat__to__real_2E0,type,
c_2Ebinary__ieee_2Efloat__to__real_2E0: $i ).
tff(c_2Ebinary__ieee_2Eulp_2E0,type,
c_2Ebinary__ieee_2Eulp_2E0: $i ).
tff(c_2Ebinary__ieee_2Eulp_2E1,type,
c_2Ebinary__ieee_2Eulp_2E1: $i > $i ).
tff(c_2Ebool_2E_7E_2E1,type,
c_2Ebool_2E_7E_2E1: $i > $i ).
tff(c_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0: $i ).
tff(s,type,
s: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(c_2Ebool_2E_21_2E1,type,
c_2Ebool_2E_21_2E1: $i > $i ).
tff(combin_i_2E0,type,
combin_i_2E0: $i ).
tff(c_2Ebool_2E_5C_2F_2E0,type,
c_2Ebool_2E_5C_2F_2E0: $i ).
tff(c_2Ebinary__ieee_2Efloat__to__real_2E1,type,
c_2Ebinary__ieee_2Efloat__to__real_2E1: $i > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i ) > $i ).
tff(c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: $i ).
tff(combin_k_2E0,type,
combin_k_2E0: $i ).
tff(tyop_2Erealax_2Ereal,type,
tyop_2Erealax_2Ereal: $i ).
tff(f_137,axiom,
! [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))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eulp) ).
tff(f_135,axiom,
! [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))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
tff(f_145,negated_conjecture,
~ ! [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))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eneg__ulp) ).
tff(c_104,plain,
! [A_27t_77,A_27w_78] : ( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t_77,A_27w_78),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t_77,A_27w_78)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t_77,A_27w_78)),c_2Ebool_2Ethe__value_2E0))) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_102,plain,
! [A_27a_74,A_27b_75,V0x_2E0_76] : ( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a_74,A_27b_75),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a_74,A_27b_75),V0x_2E0_76))))) = 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_74,A_27b_75),V0x_2E0_76))))) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_113,plain,
s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat('#skF_4','#skF_5'),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat('#skF_4','#skF_5'),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod('#skF_4','#skF_5')),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('#skF_4','#skF_5')),c_2Ebool_2Ethe__value_2E0))))),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_115,plain,
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('#skF_4','#skF_5'),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod('#skF_4','#skF_5')),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('#skF_4','#skF_5')),c_2Ebool_2Ethe__value_2E0))))),
inference(demodulation,[status(thm),theory(equality)],[c_102,c_113]) ).
tff(c_117,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : ITP018+1 : TPTP v9.0.0. Bugfixed v7.5.0.
% 0.02/0.10 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.09/0.30 % Computer : n011.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 8 00:53:03 EDT 2025
% 0.09/0.30 % CPUTime :
% 4.48/2.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.48/2.18
% 4.48/2.18 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------