%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN966+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n003.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 09:11:18 AM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : Proof 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ! [X,Y] :
( eq(X,Y)
<=> ! [Z] :
( a_member_of(Z,X)
<=> a_member_of(Z,Y) ) )
=> ! [A,B] :
( eq(A,B)
=> eq(B,A) ) ),
file('theBenchmark.p',prove_this) ).
fof(f_1_1,negated_conjecture,
( ~ ! [A,B] :
( eq(A,B)
=> eq(B,A) )
& ! [X,Y] :
( eq(X,Y)
<=> ! [Z] :
( a_member_of(Z,X)
<=> a_member_of(Z,Y) ) ) ),
inference(negate,[status(cth)],[prove_this]) ).
fof(f_1_2,negated_conjecture,
( ? [A,B] :
( ~ eq(B,A)
& eq(A,B) )
& ! [X,Y] :
( ( eq(X,Y)
| ? [Z] :
( ( ~ a_member_of(Z,X)
& a_member_of(Z,Y) )
| ( ~ a_member_of(Z,Y)
& a_member_of(Z,X) ) ) )
& ( ! [Z] :
( ( a_member_of(Z,X)
| ~ a_member_of(Z,Y) )
& ( a_member_of(Z,Y)
| ~ a_member_of(Z,X) ) )
| ~ eq(X,Y) ) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ? [U_5,U_4] :
( ~ eq(U_4,U_5)
& eq(U_5,U_4) )
& ! [U_3,U_2] :
( ( eq(U_3,U_2)
| ? [U_1] :
( ( ~ a_member_of(U_1,U_3)
& a_member_of(U_1,U_2) )
| ( ~ a_member_of(U_1,U_2)
& a_member_of(U_1,U_3) ) ) )
& ( ! [U_0] :
( ( a_member_of(U_0,U_3)
| ~ a_member_of(U_0,U_2) )
& ( a_member_of(U_0,U_2)
| ~ a_member_of(U_0,U_3) ) )
| ~ eq(U_3,U_2) ) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_5,U_4] :
( ~ eq(U_4,U_5)
& eq(U_5,U_4) )
& ! [U_13,U_11] :
( eq(U_13,U_11)
| ? [U_9] :
( ~ a_member_of(U_9,U_13)
& a_member_of(U_9,U_11) )
| ? [U_8] :
( ~ a_member_of(U_8,U_11)
& a_member_of(U_8,U_13) ) )
& ! [U_12,U_10] :
( ( ! [U_7] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10) )
& ! [U_6] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12) ) )
| ~ eq(U_12,U_10) ) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ? [U_5,U_4] :
( ~ eq(U_4,U_5)
& eq(U_5,U_4) )
& ! [U_13,U_11] :
( eq(U_13,U_11)
| ? [U_9] :
( ~ a_member_of(U_9,U_13)
& a_member_of(U_9,U_11) )
| ( ~ a_member_of(sK1(U_13,U_11),U_11)
& a_member_of(sK1(U_13,U_11),U_13) ) )
& ! [U_12,U_10] :
( ( ! [U_7] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10) )
& ! [U_6] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12) ) )
| ~ eq(U_12,U_10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_8,sK1(U_13,U_11))],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ? [U_5,U_4] :
( ~ eq(U_4,U_5)
& eq(U_5,U_4) )
& ! [U_13,U_11] :
( eq(U_13,U_11)
| ( ~ a_member_of(sK2(U_13,U_11),U_13)
& a_member_of(sK2(U_13,U_11),U_11) )
| ( ~ a_member_of(sK1(U_13,U_11),U_11)
& a_member_of(sK1(U_13,U_11),U_13) ) )
& ! [U_12,U_10] :
( ( ! [U_7] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10) )
& ! [U_6] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12) ) )
| ~ eq(U_12,U_10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_9,sK2(U_13,U_11))],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ? [U_4] :
( ~ eq(U_4,sK3)
& eq(sK3,U_4) )
& ! [U_13,U_11] :
( eq(U_13,U_11)
| ( ~ a_member_of(sK2(U_13,U_11),U_13)
& a_member_of(sK2(U_13,U_11),U_11) )
| ( ~ a_member_of(sK1(U_13,U_11),U_11)
& a_member_of(sK1(U_13,U_11),U_13) ) )
& ! [U_12,U_10] :
( ( ! [U_7] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10) )
& ! [U_6] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12) ) )
| ~ eq(U_12,U_10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_5,sK3)],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ~ eq(sK4,sK3)
& eq(sK3,sK4)
& ! [U_13,U_11] :
( eq(U_13,U_11)
| ( ~ a_member_of(sK2(U_13,U_11),U_13)
& a_member_of(sK2(U_13,U_11),U_11) )
| ( ~ a_member_of(sK1(U_13,U_11),U_11)
& a_member_of(sK1(U_13,U_11),U_13) ) )
& ! [U_12,U_10] :
( ( ! [U_7] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10) )
& ! [U_6] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12) ) )
| ~ eq(U_12,U_10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_4,sK4)],[f_1_7]) ).
fof(f_1_9,negated_conjecture,
( ! [U_13,U_11] :
( ~ a_member_of(sK2(U_13,U_11),U_13)
| ~ sP2(U_13,U_11) )
& ! [U_13,U_11] :
( a_member_of(sK2(U_13,U_11),U_11)
| ~ sP2(U_13,U_11) )
& ! [U_13,U_11] :
( ~ a_member_of(sK1(U_13,U_11),U_11)
| ~ sP1(U_13,U_11) )
& ! [U_13,U_11] :
( a_member_of(sK1(U_13,U_11),U_13)
| ~ sP1(U_13,U_11) )
& ! [U_12,U_6,U_7,U_10] :
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10)
| ~ sP0(U_12,U_6,U_7,U_10) )
& ! [U_12,U_6,U_7,U_10] :
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12)
| ~ sP0(U_12,U_6,U_7,U_10) )
& ~ eq(sK4,sK3)
& eq(sK3,sK4)
& ! [U_13,U_11] :
( eq(U_13,U_11)
| sP2(U_13,U_11)
| sP1(U_13,U_11) )
& ! [U_12,U_6,U_7,U_10] :
( sP0(U_12,U_6,U_7,U_10)
| ~ eq(U_12,U_10) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2])],[f_1_8]) ).
cnf(f_1_10,negated_conjecture,
( sP0(U_12,U_6,U_7,U_10)
| ~ eq(U_12,U_10) ),
inference(clausify,[status(thm)],[f_1_9]) ).
cnf(f_1_11,negated_conjecture,
( eq(U_13,U_11)
| sP2(U_13,U_11)
| sP1(U_13,U_11) ),
inference(clausify,[status(thm)],[f_1_9]) ).
cnf(f_1_12,negated_conjecture,
eq(sK3,sK4),
inference(clausify,[status(thm)],[f_1_9]) ).
cnf(f_1_13,negated_conjecture,
~ eq(sK4,sK3),
inference(clausify,[status(thm)],[f_1_9]) ).
cnf(f_1_14,negated_conjecture,
( a_member_of(U_6,U_10)
| ~ a_member_of(U_6,U_12)
| ~ sP0(U_12,U_6,U_7,U_10) ),
inference(clausify,[status(thm)],[f_1_9]) ).
cnf(f_1_15,negated_conjecture,
( a_member_of(U_7,U_12)
| ~ a_member_of(U_7,U_10)
| ~ sP0(U_12,U_6,U_7,U_10) ),
inference(clausify,[status(thm)],[f_1_9]) ).
cnf(f_1_16,negated_conjecture,
( a_member_of(sK1(U_13,U_11),U_13)
| ~ sP1(U_13,U_11) ),
inference(clausify,[status(thm)],[f_1_9]) ).
cnf(f_1_17,negated_conjecture,
( ~ a_member_of(sK1(U_13,U_11),U_11)
| ~ sP1(U_13,U_11) ),
inference(clausify,[status(thm)],[f_1_9]) ).
cnf(f_1_18,negated_conjecture,
( a_member_of(sK2(U_13,U_11),U_11)
| ~ sP2(U_13,U_11) ),
inference(clausify,[status(thm)],[f_1_9]) ).
cnf(f_1_19,negated_conjecture,
( ~ a_member_of(sK2(U_13,U_11),U_13)
| ~ sP2(U_13,U_11) ),
inference(clausify,[status(thm)],[f_1_9]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN966+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 07:30:44 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.39 % SZS status Theorem for theBenchmark
% 0.10/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------