%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV866-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 09:04:26 AM UTC 2026
% Result : Unsatisfiable 0.02s 0.40s
% Output : Proof 0.02s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_evaln__elim__cases_I1_J_0,axiom,
( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t)
| V_t = V_s ),
file('theBenchmark.p',cls_evaln__elim__cases_I1_J_0) ).
cnf(cls_evalc__elim__cases_I4_J_1,axiom,
( ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_t)
| c_Natural_Oevalc(V_c2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(V_c1,V_c2,V_s,V_t),V_t) ),
file('theBenchmark.p',cls_evalc__elim__cases_I4_J_1) ).
cnf(cls_evalc__elim__cases_I4_J_0,axiom,
( ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_t)
| c_Natural_Oevalc(V_c1,V_s,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(V_c1,V_c2,V_s,V_t)) ),
file('theBenchmark.p',cls_evalc__elim__cases_I4_J_0) ).
cnf(cls_evaln_OSemi_0,axiom,
( ~ c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1)
| ~ c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)
| c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) ),
file('theBenchmark.p',cls_evaln_OSemi_0) ).
cnf(cls_eval__eq_0,axiom,
( ~ c_Natural_Oevalc(V_c,V_s,V_t)
| c_Natural_Oevaln(V_c,V_s,c_Natural_Osko__Natural__Xeval__eq__1__1(V_c,V_s,V_t),V_t) ),
file('theBenchmark.p',cls_eval__eq_0) ).
cnf(cls_com_Osimps_I3_J_1,axiom,
( V_com2 = V_com2_H
| c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ),
file('theBenchmark.p',cls_com_Osimps_I3_J_1) ).
cnf(cls_com_Osimps_I3_J_0,axiom,
( V_com1 = V_com1_H
| c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ),
file('theBenchmark.p',cls_com_Osimps_I3_J_0) ).
cnf(cls_evaln__elim__cases_I4_J_1,axiom,
( ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t)
| c_Natural_Oevaln(V_c2,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(V_c1,V_c2,V_n,V_s,V_t),V_n,V_t) ),
file('theBenchmark.p',cls_evaln__elim__cases_I4_J_1) ).
cnf(cls_evaln__elim__cases_I4_J_0,axiom,
( ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t)
| c_Natural_Oevaln(V_c1,V_s,V_n,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(V_c1,V_c2,V_n,V_s,V_t)) ),
file('theBenchmark.p',cls_evaln__elim__cases_I4_J_0) ).
cnf(cls_evaln_OSkip_0,axiom,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s),
file('theBenchmark.p',cls_evaln_OSkip_0) ).
cnf(cls_com_Osimps_I13_J_0,axiom,
c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
file('theBenchmark.p',cls_com_Osimps_I13_J_0) ).
cnf(cls_evalc__evaln_0,axiom,
( ~ c_Natural_Oevalc(V_c,V_s,V_t)
| c_Natural_Oevaln(V_c,V_s,c_Natural_Osko__Natural__Xevalc__evaln__1__1(V_c,V_s,V_t),V_t) ),
file('theBenchmark.p',cls_evalc__evaln_0) ).
cnf(cls_com_Osimps_I12_J_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H),
file('theBenchmark.p',cls_com_Osimps_I12_J_0) ).
cnf(cls_com__det_0,axiom,
( ~ c_Natural_Oevalc(V_c,V_s,V_t)
| ~ c_Natural_Oevalc(V_c,V_s,V_u)
| V_u = V_t ),
file('theBenchmark.p',cls_com__det_0) ).
cnf(cls_evalc_OSkip_0,axiom,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s),
file('theBenchmark.p',cls_evalc_OSkip_0) ).
cnf(cls_state__not__singleton__def__raw_0,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
file('theBenchmark.p',cls_state__not__singleton__def__raw_0) ).
cnf(cls_state__not__singleton__def_1,axiom,
( V_x = V_xa
| c_Hoare__Mirabelle_Ostate__not__singleton ),
file('theBenchmark.p',cls_state__not__singleton__def_1) ).
cnf(cls_single__stateE_0,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t) != V_t ),
file('theBenchmark.p',cls_single__stateE_0) ).
cnf(cls_evalc_OSemi_0,axiom,
( ~ c_Natural_Oevalc(V_c0,V_s0,V_s1)
| ~ c_Natural_Oevalc(V_c1,V_s1,V_s2)
| c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_s2) ),
file('theBenchmark.p',cls_evalc_OSemi_0) ).
cnf(cls_state__not__singleton__def_0,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ),
file('theBenchmark.p',cls_state__not__singleton__def_0) ).
cnf(cls_evalc__elim__cases_I1_J_0,axiom,
( ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_t)
| V_t = V_s ),
file('theBenchmark.p',cls_evalc__elim__cases_I1_J_0) ).
cnf(cls_evaln__evalc_0,axiom,
( ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t)
| c_Natural_Oevalc(V_c,V_s,V_t) ),
file('theBenchmark.p',cls_evaln__evalc_0) ).
cnf(cls_eval__eq_1,axiom,
( ~ c_Natural_Oevaln(V_c,V_s,V_x,V_t)
| c_Natural_Oevalc(V_c,V_s,V_t) ),
file('theBenchmark.p',cls_eval__eq_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
V_Z_H = v_s_H,
file('theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_Z,V_x),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( c_Com_Ocom_OSemi(Eq_x_0,Eq_x_1) = c_Com_Ocom_OSemi(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( c_Natural_Osko__Natural__Xeval__eq__1__1(Eq_x_0,Eq_x_1,Eq_x_2) = c_Natural_Osko__Natural__Xeval__eq__1__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( c_Natural_Osko__Natural__Xevalc__evaln__1__1(Eq_x_0,Eq_x_1,Eq_x_2) = c_Natural_Osko__Natural__Xevalc__evaln__1__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(Eq_x_0) = v_sko__Hoare__Mirabelle__Xsingle__stateE__1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( c_Natural_Oevaln(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ c_Natural_Oevaln(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( c_Natural_Oevalc(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_Natural_Oevalc(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV866-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.36 % Computer : n017.cluster.edu
% 0.02/0.36 % Model : x86_64 x86_64
% 0.02/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.36 % Memory : 8046.5625MB
% 0.02/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Sun Sep 20 04:45:40 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.02/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------