%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN724+1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n001.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 09:10:57 AM UTC 2026
% Result : Theorem 0.10s 0.36s
% Output : Proof 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(thm31,conjecture,
( ! [X] :
( r(X)
=> s(X) )
<=> ! [X] :
( ( s(X)
& r(X) )
<=> r(X) ) ),
file('theBenchmark.p',thm31) ).
fof(f_1_1,negated_conjecture,
~ ( ! [X] :
( r(X)
=> s(X) )
<=> ! [X] :
( ( s(X)
& r(X) )
<=> r(X) ) ),
inference(negate,[status(cth)],[thm31]) ).
fof(f_1_2,negated_conjecture,
( ( ? [X] :
( ~ s(X)
& r(X) )
& ! [X] :
( ( ( s(X)
& r(X) )
| ~ r(X) )
& ( r(X)
| ~ s(X)
| ~ r(X) ) ) )
| ( ? [X] :
( ( ( ~ s(X)
| ~ r(X) )
& r(X) )
| ( ~ r(X)
& s(X)
& r(X) ) )
& ! [X] :
( s(X)
| ~ r(X) ) ) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ( ? [U_3] :
( ~ s(U_3)
& r(U_3) )
& ! [U_2] :
( ( ( s(U_2)
& r(U_2) )
| ~ r(U_2) )
& ( r(U_2)
| ~ s(U_2)
| ~ r(U_2) ) ) )
| ( ? [U_1] :
( ( ( ~ s(U_1)
| ~ r(U_1) )
& r(U_1) )
| ( ~ r(U_1)
& s(U_1)
& r(U_1) ) )
& ! [U_0] :
( s(U_0)
| ~ r(U_0) ) ) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ( ? [U_3] :
( ~ s(U_3)
& r(U_3) )
& ! [U_7] :
( ( s(U_7)
& r(U_7) )
| ~ r(U_7) )
& ! [U_6] :
( r(U_6)
| ~ s(U_6)
| ~ r(U_6) ) )
| ( ( ? [U_5] :
( ( ~ s(U_5)
| ~ r(U_5) )
& r(U_5) )
| ? [U_4] :
( ~ r(U_4)
& s(U_4)
& r(U_4) ) )
& ! [U_0] :
( s(U_0)
| ~ r(U_0) ) ) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ( ? [U_3] :
( ~ s(U_3)
& r(U_3) )
& ! [U_7] :
( ( s(U_7)
& r(U_7) )
| ~ r(U_7) )
& ! [U_6] :
( r(U_6)
| ~ s(U_6)
| ~ r(U_6) ) )
| ( ( ? [U_5] :
( ( ~ s(U_5)
| ~ r(U_5) )
& r(U_5) )
| ( ~ r(sK1)
& s(sK1)
& r(sK1) ) )
& ! [U_0] :
( s(U_0)
| ~ r(U_0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_4,sK1)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ( ? [U_3] :
( ~ s(U_3)
& r(U_3) )
& ! [U_7] :
( ( s(U_7)
& r(U_7) )
| ~ r(U_7) )
& ! [U_6] :
( r(U_6)
| ~ s(U_6)
| ~ r(U_6) ) )
| ( ( ( ( ~ s(sK2)
| ~ r(sK2) )
& r(sK2) )
| ( ~ r(sK1)
& s(sK1)
& r(sK1) ) )
& ! [U_0] :
( s(U_0)
| ~ r(U_0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_5,sK2)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ( ~ s(sK3)
& r(sK3)
& ! [U_7] :
( ( s(U_7)
& r(U_7) )
| ~ r(U_7) )
& ! [U_6] :
( r(U_6)
| ~ s(U_6)
| ~ r(U_6) ) )
| ( ( ( ( ~ s(sK2)
| ~ r(sK2) )
& r(sK2) )
| ( ~ r(sK1)
& s(sK1)
& r(sK1) ) )
& ! [U_0] :
( s(U_0)
| ~ r(U_0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_3,sK3)],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ! [U_7] :
( s(U_7)
| ~ sP3(U_7) )
& ! [U_7] :
( r(U_7)
| ~ sP3(U_7) )
& ! [U_7,U_6] :
( ~ s(sK3)
| ~ sP4(U_7,U_6) )
& ! [U_7,U_6] :
( r(sK3)
| ~ sP4(U_7,U_6) )
& ! [U_7,U_6] :
( sP3(U_7)
| ~ r(U_7)
| ~ sP4(U_7,U_6) )
& ! [U_7,U_6] :
( r(U_6)
| ~ s(U_6)
| ~ r(U_6)
| ~ sP4(U_7,U_6) )
& ( ~ s(sK2)
| ~ r(sK2)
| ~ sP1 )
& ( r(sK2)
| ~ sP1 )
& ( ~ r(sK1)
| ~ sP0 )
& ( s(sK1)
| ~ sP0 )
& ( r(sK1)
| ~ sP0 )
& ! [U_0] :
( sP1
| sP0
| ~ sP2(U_0) )
& ! [U_0] :
( s(U_0)
| ~ r(U_0)
| ~ sP2(U_0) )
& ! [U_0,U_7,U_6] :
( sP4(U_7,U_6)
| sP2(U_0) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4])],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
( sP4(U_7,U_6)
| sP2(U_0) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_10,negated_conjecture,
( s(U_0)
| ~ r(U_0)
| ~ sP2(U_0) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_11,negated_conjecture,
( sP1
| sP0
| ~ sP2(U_0) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_12,negated_conjecture,
( r(sK1)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_13,negated_conjecture,
( s(sK1)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_14,negated_conjecture,
( ~ r(sK1)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_15,negated_conjecture,
( r(sK2)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_16,negated_conjecture,
( ~ s(sK2)
| ~ r(sK2)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_17,negated_conjecture,
( r(U_6)
| ~ s(U_6)
| ~ r(U_6)
| ~ sP4(U_7,U_6) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_18,negated_conjecture,
( sP3(U_7)
| ~ r(U_7)
| ~ sP4(U_7,U_6) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_19,negated_conjecture,
( r(sK3)
| ~ sP4(U_7,U_6) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_20,negated_conjecture,
( ~ s(sK3)
| ~ sP4(U_7,U_6) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_21,negated_conjecture,
( r(U_7)
| ~ sP3(U_7) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_22,negated_conjecture,
( s(U_7)
| ~ sP3(U_7) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_17_true,negated_conjecture,
$true,
inference(clause_is_true,[status(thm)],[f_1_17]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN724+1 : TPTP v9.3.1. Released v2.5.0.
% 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
% 0.08/0.33 % Computer : n001.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sun Sep 20 07:12:56 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.10/0.36 % SZS status Theorem for theBenchmark
% 0.10/0.36 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------