%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET818-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 08:57:30 AM UTC 2026
% Result : Unsatisfiable 7.80s 8.08s
% Output : Proof 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 4 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Datatype_Oelem__o2s__iff1_0,axiom,
( V_xo = c_Datatype_Ooption_OSome(V_x,T_a)
| ~ c_in(V_x,c_Datatype_Oo2s(V_xo,T_a),T_a) ),
file('MSC001-2.ax',cls_Datatype_Oelem__o2s__iff1_0) ).
cnf(cls_Datatype_Ooption_Odistinct__1__iff1_0,axiom,
c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a),
file('MSC001-2.ax',cls_Datatype_Ooption_Odistinct__1__iff1_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_x(V_U),V_U,tc_IntDef_Oint),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(t1,plain,
c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(v_x(c_Datatype_Oo2s(c_Datatype_Ooption_ONone,tc_IntDef_Oint)),tc_IntDef_Oint),
inference(start,[status(thm),parent(0:0)],[cls_Datatype_Ooption_Odistinct__1__iff1_0]) ).
cnf(t2,plain,
( ~ c_in(v_x(c_Datatype_Oo2s(c_Datatype_Ooption_ONone,tc_IntDef_Oint)),c_Datatype_Oo2s(c_Datatype_Ooption_ONone,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Datatype_Ooption_ONone = c_Datatype_Ooption_OSome(v_x(c_Datatype_Oo2s(c_Datatype_Ooption_ONone,tc_IntDef_Oint)),tc_IntDef_Oint) ),
inference(extension,[status(thm),parent(t1:1)],[cls_Datatype_Oelem__o2s__iff1_0]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
c_in(v_x(c_Datatype_Oo2s(c_Datatype_Ooption_ONone,tc_IntDef_Oint)),c_Datatype_Oo2s(c_Datatype_Ooption_ONone,tc_IntDef_Oint),tc_IntDef_Oint),
inference(extension,[status(thm),parent(t2:2)],[cls_conjecture_0]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET818-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 19 22:59:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 7.80/8.08 % SZS status Unsatisfiable for theBenchmark
% 7.80/8.08 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------