%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ITP013+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 : n023.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 06:52:03 PM UTC 2025
% Result : Theorem 26.94s 11.65s
% Output : CNFRefutation 26.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 19 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 16 ( 5 ~; 1 |; 5 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 10 ( 2 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 : 47 ( 47 usr; 25 con; 0-4 aty)
% Number of variables : 33 ( 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p > c_2Ebool_2ECOND_2E3 > tyop_2Emin_2Efun > tyop_2Efcp_2Ecart > s > c_2Ewords_2Eword__sub_2E2 > c_2Ewords_2Eword__add_2E2 > c_2Emin_2E_3D_3D_3E_2E2 > c_2Emin_2E_3D_2E2 > c_2Ebool_2E_5C_2F_2E2 > c_2Ebool_2E_2F_5C_2E2 > c_2Earithmetic_2E_3C_3D_2E2 > c_2Earithmetic_2E_2D_2E2 > c_2Earithmetic_2E_2B_2E2 > app_2E2 > #nlpp > c_2Ewords_2Eword__2comp_2E1 > c_2Ewords_2En2w_2E1 > c_2Ebool_2E_7E_2E1 > c_2Ebool_2E_3F_2E1 > c_2Ebool_2E_21_2E1 > tyop_2Enum_2Enum > tyop_2Emin_2Ebool > combin_s_2E0 > combin_k_2E0 > combin_i_2E0 > c_2Ewords_2Eword__sub_2E0 > c_2Ewords_2Eword__add_2E0 > c_2Ewords_2Eword__2comp_2E0 > c_2Ewords_2En2w_2E0 > c_2Emin_2E_3D_3D_3E_2E0 > c_2Emin_2E_3D_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_2Ebool_2ECOND_2E0 > c_2Earithmetic_2E_3C_3D_2E0 > c_2Earithmetic_2E_2D_2E0 > c_2Earithmetic_2E_2B_2E0 > #skF_3 > #skF_5 > #skF_6 > #skF_4 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_2Ewords_2Eword__2comp_2E1,type,
c_2Ewords_2Eword__2comp_2E1: $i > $i ).
tff(c_2Ebool_2E_21_2E0,type,
c_2Ebool_2E_21_2E0: $i ).
tff(c_2Ewords_2Eword__2comp_2E0,type,
c_2Ewords_2Eword__2comp_2E0: $i ).
tff(app_2E2,type,
app_2E2: ( $i * $i ) > $i ).
tff(c_2Earithmetic_2E_3C_3D_2E0,type,
c_2Earithmetic_2E_3C_3D_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(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_2Ewords_2Eword__add_2E0,type,
c_2Ewords_2Eword__add_2E0: $i ).
tff(c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: ( $i * $i ) > $i ).
tff(tyop_2Enum_2Enum,type,
tyop_2Enum_2Enum: $i ).
tff(c_2Earithmetic_2E_2D_2E2,type,
c_2Earithmetic_2E_2D_2E2: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(p,type,
p: $i > $o ).
tff(c_2Ewords_2Eword__sub_2E2,type,
c_2Ewords_2Eword__sub_2E2: ( $i * $i ) > $i ).
tff(tyop_2Efcp_2Ecart,type,
tyop_2Efcp_2Ecart: ( $i * $i ) > $i ).
tff(c_2Ebool_2ECOND_2E0,type,
c_2Ebool_2ECOND_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_2Ewords_2Eword__sub_2E0,type,
c_2Ewords_2Eword__sub_2E0: $i ).
tff('#skF_6',type,
'#skF_6': $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_2ET_2E0,type,
c_2Ebool_2ET_2E0: $i ).
tff(c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0: $i ).
tff(c_2Earithmetic_2E_2B_2E2,type,
c_2Earithmetic_2E_2B_2E2: ( $i * $i ) > $i ).
tff(c_2Ebool_2ECOND_2E3,type,
c_2Ebool_2ECOND_2E3: ( $i * $i * $i ) > $i ).
tff(c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1: $i > $i ).
tff(c_2Earithmetic_2E_2D_2E0,type,
c_2Earithmetic_2E_2D_2E0: $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(c_2Ewords_2En2w_2E1,type,
c_2Ewords_2En2w_2E1: $i > $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_2Earithmetic_2E_2B_2E0,type,
c_2Earithmetic_2E_2B_2E0: $i ).
tff(c_2Ewords_2Eword__add_2E2,type,
c_2Ewords_2Eword__add_2E2: ( $i * $i ) > $i ).
tff(c_2Ewords_2En2w_2E0,type,
c_2Ewords_2En2w_2E0: $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(c_2Earithmetic_2E_3C_3D_2E2,type,
c_2Earithmetic_2E_3C_3D_2E2: ( $i * $i ) > $i ).
tff(f_246,axiom,
! [A_27a] :
( ! [V0t1_2E0,V1t2_2E0] : ( s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(A_27a,V0t1_2E0),s(A_27a,V1t2_2E0))) = s(A_27a,V0t1_2E0) )
& ! [V2t1_2E0,V3t2_2E0] : ( s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(A_27a,V2t1_2E0),s(A_27a,V3t2_2E0))) = s(A_27a,V3t2_2E0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).
tff(f_259,negated_conjecture,
~ ! [A_27a,V0a_2E0,V1b_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V1b_2E0),s(tyop_2Enum_2Enum,V0a_2E0))))
=> ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0a_2E0),s(tyop_2Enum_2Enum,V1b_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0a_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V1b_2E0))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub) ).
tff(f_201,axiom,
! [V0t_2E0] :
( ( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0) )
<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0) )
<=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
<=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
tff(f_248,axiom,
! [A_27a,V0v_2E0,V1w_2E0] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0v_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1w_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0v_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1w_2E0))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).
tff(f_254,axiom,
! [A_27a,A_27b] :
( ! [V0m_2E0,V1n_2E0] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0m_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V1n_2E0))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V0m_2E0),s(tyop_2Enum_2Enum,V1n_2E0))))))) )
& ! [V2m_2E0,V3n_2E0] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V2m_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V3n_2E0))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V3n_2E0),s(tyop_2Enum_2Enum,V2m_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V2m_2E0),s(tyop_2Enum_2Enum,V3n_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V3n_2E0),s(tyop_2Enum_2Enum,V2m_2E0))))))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
tff(c_205,plain,
! [A_27a_107,V0t1_2E0_114,V1t2_2E0_115] : ( s(A_27a_107,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(A_27a_107,V0t1_2E0_114),s(A_27a_107,V1t2_2E0_115))) = s(A_27a_107,V0t1_2E0_114) ),
inference(cnfTransformation,[status(thm)],[f_246]) ).
tff(c_217,plain,
p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,'#skF_6'),s(tyop_2Enum_2Enum,'#skF_5')))),
inference(cnfTransformation,[status(thm)],[f_259]) ).
tff(c_261,plain,
! [V0t_2E0_132] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0_132) )
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0_132)) ),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_274,plain,
s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,'#skF_6'),s(tyop_2Enum_2Enum,'#skF_5'))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(resolution,[status(thm)],[c_217,c_261]) ).
tff(c_209,plain,
! [A_27a_116,V0v_2E0_117,V1w_2E0_118] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a_116),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a_116),V0v_2E0_117),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a_116),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a_116),V1w_2E0_118))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a_116),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a_116),V0v_2E0_117),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a_116),V1w_2E0_118))) ),
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_213,plain,
! [A_27b_120,V3n_2E0_126,V2m_2E0_125] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_120),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V3n_2E0_126),s(tyop_2Enum_2Enum,V2m_2E0_125))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_120),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V2m_2E0_125),s(tyop_2Enum_2Enum,V3n_2E0_126))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_120),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_120),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V3n_2E0_126),s(tyop_2Enum_2Enum,V2m_2E0_125))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_120),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_120),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V2m_2E0_125))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_120),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_120),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V3n_2E0_126))))))) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_91061,plain,
! [A_27b_438,V3n_2E0_439,V2m_2E0_440] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V3n_2E0_439),s(tyop_2Enum_2Enum,V2m_2E0_440))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V2m_2E0_440),s(tyop_2Enum_2Enum,V3n_2E0_439))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V3n_2E0_439),s(tyop_2Enum_2Enum,V2m_2E0_440))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V2m_2E0_440))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V3n_2E0_439))))) ),
inference(demodulation,[status(thm),theory(equality)],[c_209,c_213]) ).
tff(c_91593,plain,
! [A_27b_438] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,'#skF_5'),s(tyop_2Enum_2Enum,'#skF_6'))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,'#skF_6'),s(tyop_2Enum_2Enum,'#skF_5'))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,'#skF_5'))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,'#skF_6'))))) ),
inference(superposition,[status(thm),theory(equality)],[c_274,c_91061]) ).
tff(c_91688,plain,
! [A_27b_438] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,'#skF_5'))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,'#skF_6'))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b_438),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,'#skF_5'),s(tyop_2Enum_2Enum,'#skF_6'))))) ),
inference(demodulation,[status(thm),theory(equality)],[c_205,c_91593]) ).
tff(c_215,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,'#skF_4'),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,'#skF_4'),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,'#skF_5'))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,'#skF_4'),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,'#skF_6'))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,'#skF_4'),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,'#skF_5'),s(tyop_2Enum_2Enum,'#skF_6'))))),
inference(cnfTransformation,[status(thm)],[f_259]) ).
tff(c_94124,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_91688,c_215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP013+1 : TPTP v9.0.0. Bugfixed v7.5.0.
% 0.06/0.13 % 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
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 00:42:54 EDT 2025
% 0.13/0.34 % CPUTime :
% 26.94/11.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.94/11.65
% 26.94/11.65 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------