%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LDA007-2 : TPTP v9.3.1. Bugfixed v2.6.0.
% 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 : n014.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 08:50:26 AM UTC 2026
% Result : Unsatisfiable 32.37s 32.67s
% Output : Proof 32.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(a1,axiom,
f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)),
file('theBenchmark.p',a1) ).
cnf(a1a,axiom,
a(X,a(Y,Z)) = a(f(X,Y),a(X,Z)),
file('theBenchmark.p',a1a) ).
cnf(a2,axiom,
critical_point(f(U,V)) = a(U,critical_point(V)),
file('theBenchmark.p',a2) ).
cnf(b1,axiom,
~ less(X,X),
file('theBenchmark.p',b1) ).
cnf(b4,axiom,
( less(a(U,X),a(U,Y))
| ~ less(X,Y) ),
file('theBenchmark.p',b4) ).
cnf(c1,axiom,
( less(X,a(U,X))
| X = a(U,X) ),
file('theBenchmark.p',c1) ).
cnf(c2,axiom,
( a(U,X) = X
| ~ less(X,critical_point(U)) ),
file('theBenchmark.p',c2) ).
cnf(c3,axiom,
( less(X,a(U,X))
| less(X,critical_point(U)) ),
file('theBenchmark.p',c3) ).
cnf(d2,axiom,
( a(f(V,U),X) = X
| a(U,X) != X ),
file('theBenchmark.p',d2) ).
cnf(clause_1,axiom,
tt = f(t,t),
file('theBenchmark.p',clause_1) ).
cnf(clause_2,axiom,
st = f(s,t),
file('theBenchmark.p',clause_2) ).
cnf(clause_3,axiom,
ts = f(t,s),
file('theBenchmark.p',clause_3) ).
cnf(clause_4,axiom,
tt_ts = f(tt,ts),
file('theBenchmark.p',clause_4) ).
cnf(clause_5,axiom,
k = critical_point(t),
file('theBenchmark.p',clause_5) ).
cnf(clause_6,axiom,
sk = f(s,k),
file('theBenchmark.p',clause_6) ).
cnf(clause_7,axiom,
tk = f(t,k),
file('theBenchmark.p',clause_7) ).
cnf(clause_8,axiom,
stk = f(st,k),
file('theBenchmark.p',clause_8) ).
cnf(clause_9,axiom,
tsk = f(ts,k),
file('theBenchmark.p',clause_9) ).
cnf(clause_10,axiom,
ttk = f(tt,k),
file('theBenchmark.p',clause_10) ).
cnf(prove_equation,negated_conjecture,
f(t,tsk) != f(tt_ts,tk),
file('theBenchmark.p',prove_equation) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( f(Eq_x_0,Eq_x_1) = f(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( a(Eq_x_0,Eq_x_1) = a(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( critical_point(Eq_x_0) = critical_point(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( less(Eq_y_0,Eq_y_1)
| ~ less(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LDA007-2 : TPTP v9.3.1. Bugfixed v2.6.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN 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
% 0.09/0.33 % Computer : n014.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8046.5625MB
% 0.09/0.33 % OS : Linux 6.8.0-71-generic
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Sat Sep 19 16:03:35 UTC 2026
% 0.09/0.34 % CPUTime :
% 32.37/32.67 % SZS status Unsatisfiable for theBenchmark
% 32.37/32.67 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------