%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN079+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 : 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 09:09:26 AM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 16 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 8 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel57_1,axiom,
big_f(f(a,b),f(b,c)),
file('theBenchmark.p',pel57_1) ).
fof(pel57_2,axiom,
big_f(f(b,c),f(a,c)),
file('theBenchmark.p',pel57_2) ).
fof(pel57_3,axiom,
! [X,Y,Z] :
( ( big_f(Y,Z)
& big_f(X,Y) )
=> big_f(X,Z) ),
file('theBenchmark.p',pel57_3) ).
fof(pel57,conjecture,
big_f(f(a,b),f(a,c)),
file('theBenchmark.p',pel57) ).
fof(f_1_1,plain,
big_f(f(a,b),f(b,c)),
inference(fof_nnf,[status(thm)],[pel57_1]) ).
cnf(f_1_2,plain,
big_f(f(a,b),f(b,c)),
inference(clausify,[status(thm)],[f_1_1]) ).
fof(f_2_1,plain,
big_f(f(b,c),f(a,c)),
inference(fof_nnf,[status(thm)],[pel57_2]) ).
cnf(f_2_2,plain,
big_f(f(b,c),f(a,c)),
inference(clausify,[status(thm)],[f_2_1]) ).
fof(f_3_1,plain,
! [X,Y,Z] :
( big_f(X,Z)
| ~ big_f(Y,Z)
| ~ big_f(X,Y) ),
inference(fof_nnf,[status(thm)],[pel57_3]) ).
fof(f_3_2,plain,
! [U_2,U_1,U_0] :
( big_f(U_2,U_0)
| ~ big_f(U_1,U_0)
| ~ big_f(U_2,U_1) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( big_f(U_2,U_0)
| ~ big_f(U_1,U_0)
| ~ big_f(U_2,U_1) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
inference(negate,[status(cth)],[pel57]) ).
fof(f_4_2,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
inference(definitional_conversion,[status(esa)],[f_4_1]) ).
cnf(f_4_3,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
inference(clausify,[status(thm)],[f_4_2]) ).
cnf(t1,plain,
~ big_f(f(a,b),f(a,c)),
inference(start,[status(thm),parent(0:0)],[f_4_3]) ).
cnf(t2,plain,
( ~ big_f(f(b,c),f(a,c))
| ~ big_f(f(a,b),f(b,c))
| big_f(f(a,b),f(a,c)) ),
inference(extension,[status(thm),parent(t1:1)],[f_3_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
big_f(f(a,b),f(b,c)),
inference(extension,[status(thm),parent(t2:2)],[f_1_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
big_f(f(b,c),f(a,c)),
inference(extension,[status(thm),parent(t2:3)],[f_2_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN079+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 06:22:05 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------