%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET899+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 : n018.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 08:57:45 AM UTC 2026
% Result : Theorem 0.10s 5.39s
% Output : Proof 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity_r1_tarski,axiom,
! [A,B] : subset(A,A),
file('theBenchmark.p',reflexivity_r1_tarski) ).
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('theBenchmark.p',antisymmetry_r2_hidden) ).
fof(rc1_xboole_0,axiom,
? [A] : empty(A),
file('theBenchmark.p',rc1_xboole_0) ).
fof(rc2_xboole_0,axiom,
? [A] : ~ empty(A),
file('theBenchmark.p',rc2_xboole_0) ).
fof(t40_zfmisc_1,conjecture,
! [A,B,C] :
( subset(A,B)
=> ( subset(A,set_difference(B,singleton(C)))
| in(C,A) ) ),
file('theBenchmark.p',t40_zfmisc_1) ).
fof(l3_zfmisc_1,axiom,
! [A,B,C] :
( subset(A,B)
=> ( subset(A,set_difference(B,singleton(C)))
| in(C,A) ) ),
file('theBenchmark.p',l3_zfmisc_1) ).
fof(f_1_1,plain,
! [A,B] : subset(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_1_2,plain,
! [U_1,U_0] : subset(U_1,U_1),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_1] : subset(U_1,U_1),
inference(miniscope,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
subset(U_1,U_1),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [A,B] :
( ~ in(B,A)
| ~ in(A,B) ),
inference(fof_nnf,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( ~ in(U_2,U_3)
| ~ in(U_3,U_2) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( ~ in(U_2,U_3)
| ~ in(U_3,U_2) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
? [A] : empty(A),
inference(fof_nnf,[status(thm)],[rc1_xboole_0]) ).
fof(f_3_2,plain,
? [U_4] : empty(U_4),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
empty(sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_4,sK1)],[f_3_2]) ).
cnf(f_3_4,plain,
empty(sK1),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
? [A] : ~ empty(A),
inference(fof_nnf,[status(thm)],[rc2_xboole_0]) ).
fof(f_4_2,plain,
? [U_5] : ~ empty(U_5),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
~ empty(sK2),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_5,sK2)],[f_4_2]) ).
cnf(f_4_4,plain,
~ empty(sK2),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,negated_conjecture,
~ ! [A,B,C] :
( subset(A,B)
=> ( subset(A,set_difference(B,singleton(C)))
| in(C,A) ) ),
inference(negate,[status(cth)],[t40_zfmisc_1]) ).
fof(f_5_2,negated_conjecture,
? [A,B,C] :
( ~ subset(A,set_difference(B,singleton(C)))
& ~ in(C,A)
& subset(A,B) ),
inference(fof_nnf,[status(thm)],[f_5_1]) ).
fof(f_5_3,negated_conjecture,
? [U_8,U_7,U_6] :
( ~ subset(U_8,set_difference(U_7,singleton(U_6)))
& ~ in(U_6,U_8)
& subset(U_8,U_7) ),
inference(variable_rename,[status(thm)],[f_5_2]) ).
fof(f_5_4,negated_conjecture,
? [U_8,U_7] :
( ? [U_6] :
( ~ subset(U_8,set_difference(U_7,singleton(U_6)))
& ~ in(U_6,U_8) )
& subset(U_8,U_7) ),
inference(miniscope,[status(thm)],[f_5_3]) ).
fof(f_5_5,negated_conjecture,
? [U_7] :
( ? [U_6] :
( ~ subset(sK3,set_difference(U_7,singleton(U_6)))
& ~ in(U_6,sK3) )
& subset(sK3,U_7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_8,sK3)],[f_5_4]) ).
fof(f_5_6,negated_conjecture,
( ? [U_6] :
( ~ subset(sK3,set_difference(sK4,singleton(U_6)))
& ~ in(U_6,sK3) )
& subset(sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_7,sK4)],[f_5_5]) ).
fof(f_5_7,negated_conjecture,
( ~ subset(sK3,set_difference(sK4,singleton(sK5)))
& ~ in(sK5,sK3)
& subset(sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_6,sK5)],[f_5_6]) ).
fof(f_5_8,negated_conjecture,
( ~ subset(sK3,set_difference(sK4,singleton(sK5)))
& ~ in(sK5,sK3)
& subset(sK3,sK4) ),
inference(definitional_conversion,[status(esa)],[f_5_7]) ).
cnf(f_5_9,negated_conjecture,
subset(sK3,sK4),
inference(clausify,[status(thm)],[f_5_8]) ).
cnf(f_5_10,negated_conjecture,
~ in(sK5,sK3),
inference(clausify,[status(thm)],[f_5_8]) ).
cnf(f_5_11,negated_conjecture,
~ subset(sK3,set_difference(sK4,singleton(sK5))),
inference(clausify,[status(thm)],[f_5_8]) ).
fof(f_6_1,plain,
! [A,B,C] :
( subset(A,set_difference(B,singleton(C)))
| in(C,A)
| ~ subset(A,B) ),
inference(fof_nnf,[status(thm)],[l3_zfmisc_1]) ).
fof(f_6_2,plain,
! [U_11,U_10,U_9] :
( subset(U_11,set_difference(U_10,singleton(U_9)))
| in(U_9,U_11)
| ~ subset(U_11,U_10) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
! [U_11,U_10] :
( ! [U_9] :
( subset(U_11,set_difference(U_10,singleton(U_9)))
| in(U_9,U_11) )
| ~ subset(U_11,U_10) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
cnf(f_6_4,plain,
( subset(U_11,set_difference(U_10,singleton(U_9)))
| in(U_9,U_11)
| ~ subset(U_11,U_10) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET899+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n018.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Sat Sep 19 23:09:02 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.39 % SZS status Theorem for theBenchmark
% 0.10/5.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------