%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET787-1 : TPTP v9.3.1. Released v2.7.0.
% 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 08:57:26 AM UTC 2026
% Result : Unsatisfiable 122.55s 122.81s
% Output : Proof 124.51s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause119,axiom,
( member(U,unionE_sk1(U,V))
| ~ member(U,union(V)) ),
file('theBenchmark.p',clause119) ).
cnf(clause120,axiom,
( member(unionE_sk1(U,V),V)
| ~ member(U,union(V)) ),
file('theBenchmark.p',clause120) ).
cnf(clause131,axiom,
( subset(A,B)
| member(subsetI_sk1(A,B),A) ),
file('theBenchmark.p',clause131) ).
cnf(clause132,axiom,
( subset(A,B)
| ~ member(subsetI_sk1(A,B),B) ),
file('theBenchmark.p',clause132) ).
cnf(clause112,axiom,
( member(U,W)
| U = V
| ~ member(U,cons(V,W)) ),
file('theBenchmark.p',clause112) ).
cnf(unI1,axiom,
( member(C,un(A,B))
| ~ member(C,A) ),
file('theBenchmark.p',unI1) ).
cnf(unI2,axiom,
( member(C,un(A,B))
| ~ member(C,B) ),
file('theBenchmark.p',unI2) ).
cnf(clause158,axiom,
~ member(X,eptset),
file('theBenchmark.p',clause158) ).
cnf(clause10,axiom,
( member(pair(V,U),converse(W))
| ~ member(pair(U,V),W) ),
file('theBenchmark.p',clause10) ).
cnf(converseD,axiom,
( member(pair(B,A),R)
| ~ member(pair(A,B),converse(R)) ),
file('theBenchmark.p',converseD) ).
cnf(converseE_1,axiom,
( YX = pair(converseE_sk2(YX),converseE_sk1(YX))
| ~ member(YX,converse(R)) ),
file('theBenchmark.p',converseE_1) ).
cnf(converseE_2,axiom,
( member(pair(converse_sk1(YX),converse_sk2(YX)),R)
| ~ member(YX,converse(R)) ),
file('theBenchmark.p',converseE_2) ).
cnf(un_eq_Union_2_c1,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
file('theBenchmark.p',un_eq_Union_2_c1) ).
cnf(un_eq_Union_2_c2,negated_conjecture,
~ member(sk2,un(a,b)),
file('theBenchmark.p',un_eq_Union_2_c2) ).
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,
( union(Eq_x_0) = union(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( unionE_sk1(Eq_x_0,Eq_x_1) = unionE_sk1(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,
( subsetI_sk1(Eq_x_0,Eq_x_1) = subsetI_sk1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( cons(Eq_x_0,Eq_x_1) = cons(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( un(Eq_x_0,Eq_x_1) = un(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( pair(Eq_x_0,Eq_x_1) = pair(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( converse(Eq_x_0) = converse(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( converseE_sk2(Eq_x_0) = converseE_sk2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( converseE_sk1(Eq_x_0) = converseE_sk1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( converse_sk1(Eq_x_0) = converse_sk1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( converse_sk2(Eq_x_0) = converse_sk2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( member(Eq_y_0,Eq_y_1)
| ~ member(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( subset(Eq_y_0,Eq_y_1)
| ~ subset(Eq_x_0,Eq_x_1)
| 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
% 0.00/0.02 % Problem : SET787-1 : TPTP v9.3.1. Released v2.7.0.
% 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
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 19 22:53:40 UTC 2026
% 0.08/0.36 % CPUTime :
% 122.55/122.81 % SZS status Unsatisfiable for theBenchmark
% 122.55/122.81 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------