%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN327+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n020.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 09:10:03 AM UTC 2026
% Result : Theorem 0.08s 0.37s
% Output : Proof 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 115 ( 46 ~; 27 |; 34 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 37 ( 1 sgn 21 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_12_2,conjecture,
! [X] :
? [Y] :
! [Z] :
( big_f(Y,X)
=> ( ( big_f(X,Y)
=> ( ~ big_f(X,Z)
=> ( big_f(Z,Y)
& big_f(Y,X) ) ) )
& ( big_f(X,Z)
=> big_f(X,Y) ) ) ),
file('theBenchmark.p',church_46_12_2) ).
fof(f_1_1,negated_conjecture,
~ ! [X] :
? [Y] :
! [Z] :
( big_f(Y,X)
=> ( ( big_f(X,Y)
=> ( ~ big_f(X,Z)
=> ( big_f(Z,Y)
& big_f(Y,X) ) ) )
& ( big_f(X,Z)
=> big_f(X,Y) ) ) ),
inference(negate,[status(cth)],[church_46_12_2]) ).
fof(f_1_2,negated_conjecture,
? [X] :
! [Y] :
? [Z] :
( ( ( ( ~ big_f(Z,Y)
| ~ big_f(Y,X) )
& ~ big_f(X,Z)
& big_f(X,Y) )
| ( ~ big_f(X,Y)
& big_f(X,Z) ) )
& big_f(Y,X) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_2] :
! [U_1] :
? [U_0] :
( ( ( ( ~ big_f(U_0,U_1)
| ~ big_f(U_1,U_2) )
& ~ big_f(U_2,U_0)
& big_f(U_2,U_1) )
| ( ~ big_f(U_2,U_1)
& big_f(U_2,U_0) ) )
& big_f(U_1,U_2) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
? [U_2] :
( ! [U_6] :
( ( ? [U_4] :
( ( ~ big_f(U_4,U_6)
| ~ big_f(U_6,U_2) )
& ~ big_f(U_2,U_4) )
& big_f(U_2,U_6) )
| ( ? [U_3] : big_f(U_2,U_3)
& ~ big_f(U_2,U_6) ) )
& ! [U_5] : big_f(U_5,U_2) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ! [U_6] :
( ( ? [U_4] :
( ( ~ big_f(U_4,U_6)
| ~ big_f(U_6,sK1) )
& ~ big_f(sK1,U_4) )
& big_f(sK1,U_6) )
| ( ? [U_3] : big_f(sK1,U_3)
& ~ big_f(sK1,U_6) ) )
& ! [U_5] : big_f(U_5,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_2,sK1)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ! [U_6] :
( ( ? [U_4] :
( ( ~ big_f(U_4,U_6)
| ~ big_f(U_6,sK1) )
& ~ big_f(sK1,U_4) )
& big_f(sK1,U_6) )
| ( big_f(sK1,sK2(U_6))
& ~ big_f(sK1,U_6) ) )
& ! [U_5] : big_f(U_5,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_3,sK2(U_6))],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ! [U_6] :
( ( ( ~ big_f(sK3(U_6),U_6)
| ~ big_f(U_6,sK1) )
& ~ big_f(sK1,sK3(U_6))
& big_f(sK1,U_6) )
| ( big_f(sK1,sK2(U_6))
& ~ big_f(sK1,U_6) ) )
& ! [U_5] : big_f(U_5,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_4,sK3(U_6))],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ! [U_6] :
( ~ big_f(sK3(U_6),U_6)
| ~ big_f(U_6,sK1)
| ~ sP1(U_6) )
& ! [U_6] :
( ~ big_f(sK1,sK3(U_6))
| ~ sP1(U_6) )
& ! [U_6] :
( big_f(sK1,U_6)
| ~ sP1(U_6) )
& ! [U_6] :
( big_f(sK1,sK2(U_6))
| ~ sP0(U_6) )
& ! [U_6] :
( ~ big_f(sK1,U_6)
| ~ sP0(U_6) )
& ! [U_6] :
( sP1(U_6)
| sP0(U_6) )
& ! [U_5] : big_f(U_5,sK1) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
big_f(U_5,sK1),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_10,negated_conjecture,
( sP1(U_6)
| sP0(U_6) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_11,negated_conjecture,
( ~ big_f(sK1,U_6)
| ~ sP0(U_6) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_15,negated_conjecture,
( ~ big_f(sK3(U_6),U_6)
| ~ big_f(U_6,sK1)
| ~ sP1(U_6) ),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(t1,plain,
( ~ big_f(sK1,sK1)
| ~ sP0(sK1) ),
inference(start,[status(thm),parent(0:0)],[f_1_11]) ).
cnf(t2,plain,
( sP1(sK1)
| sP0(sK1) ),
inference(extension,[status(thm),parent(t1:1)],[f_1_10]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ big_f(sK1,sK1)
| ~ big_f(sK3(sK1),sK1)
| ~ sP1(sK1) ),
inference(extension,[status(thm),parent(t2:2)],[f_1_15]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
big_f(sK3(sK1),sK1),
inference(extension,[status(thm),parent(t4:2)],[f_1_9]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
big_f(sK1,sK1),
inference(extension,[status(thm),parent(t4:3)],[f_1_9]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
big_f(sK1,sK1),
inference(extension,[status(thm),parent(t1:2)],[f_1_9]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t1:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN327+1 : TPTP v9.3.1. Released v2.0.0.
% 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
% 0.08/0.34 % Computer : n020.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 06:29:47 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.37 % SZS status Theorem for theBenchmark
% 0.08/0.37 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------