%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : COL100-1 : TPTP v9.3.1. Released v2.7.0.
% 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 : n004.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 08:14:34 AM UTC 2026
% Result : Unsatisfiable 4.55s 4.84s
% Output : Proof 4.65s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(k_s,axiom,
combK != combS,
file('theBenchmark.p',k_s) ).
cnf(k_app,axiom,
combK != comb_app(P,Q),
file('theBenchmark.p',k_app) ).
cnf(s_app,axiom,
combS != comb_app(P,Q),
file('theBenchmark.p',s_app) ).
cnf(app_app1,axiom,
( P1 = P2
| comb_app(P1,Q1) != comb_app(P2,Q2) ),
file('theBenchmark.p',app_app1) ).
cnf(app_app2,axiom,
( Q1 = Q2
| comb_app(P1,Q1) != comb_app(P2,Q2) ),
file('theBenchmark.p',app_app2) ).
cnf(app_app3,axiom,
( comb_app(P1,Q1) = comb_app(P2,Q2)
| Q1 != Q2
| P1 != P2 ),
file('theBenchmark.p',app_app3) ).
cnf(r_into_trancl,axiom,
( member(pair(A,B),trancl(R))
| ~ member(pair(A,B),R) ),
file('theBenchmark.p',r_into_trancl) ).
cnf(trans_trancl,axiom,
trans(trancl(R)),
file('theBenchmark.p',trans_trancl) ).
cnf(transD,axiom,
( member(pair(A,C),R)
| ~ member(pair(B,C),R)
| ~ member(pair(A,B),R)
| ~ trans(R) ),
file('theBenchmark.p',transD) ).
cnf(diamond_strip_lemmaD1,axiom,
( member(pair(YP,diamond_strip_lemmaD_sk1(X,Y,YP,R)),trancl(R))
| ~ member(pair(X,YP),R)
| ~ member(pair(X,Y),trancl(R))
| ~ diamond(R) ),
file('theBenchmark.p',diamond_strip_lemmaD1) ).
cnf(diamond_strip_lemmaD2,axiom,
( member(pair(Y,diamond_strip_lemmaD_sk1(X,Y,YP,R)),R)
| ~ member(pair(X,YP),R)
| ~ member(pair(X,Y),trancl(R))
| ~ diamond(R) ),
file('theBenchmark.p',diamond_strip_lemmaD2) ).
cnf(diamond_trancl_2h1,hypothesis,
diamond(r),
file('theBenchmark.p',diamond_trancl_2h1) ).
cnf(diamond_trancl_2h2,hypothesis,
member(pair(y,ya),trancl(r)),
file('theBenchmark.p',diamond_trancl_2h2) ).
cnf(diamond_trancl_2h3,hypothesis,
member(pair(ya,z),r),
file('theBenchmark.p',diamond_trancl_2h3) ).
cnf(diamond_trancl_2h4,hypothesis,
( member(pair(ya,sk1(YP)),trancl(r))
| ~ member(pair(y,YP),trancl(r)) ),
file('theBenchmark.p',diamond_trancl_2h4) ).
cnf(diamond_trancl_2h5,hypothesis,
( member(pair(YP,sk1(YP)),trancl(r))
| ~ member(pair(y,YP),trancl(r)) ),
file('theBenchmark.p',diamond_trancl_2h5) ).
cnf(diamond_trancl_2c1,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('theBenchmark.p',diamond_trancl_2c1) ).
cnf(diamond_trancl_2c2,negated_conjecture,
( ~ member(pair(yp,ZA),trancl(r))
| ~ member(pair(z,ZA),trancl(r)) ),
file('theBenchmark.p',diamond_trancl_2c2) ).
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,
( comb_app(Eq_x_0,Eq_x_1) = comb_app(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,
( pair(Eq_x_0,Eq_x_1) = pair(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,
( trancl(Eq_x_0) = trancl(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( diamond_strip_lemmaD_sk1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = diamond_strip_lemmaD_sk1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( sk1(Eq_x_0) = sk1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( member(Eq_y_0,Eq_y_1)
| ~ member(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_10,axiom,
( trans(Eq_y_0)
| ~ trans(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( diamond(Eq_y_0)
| ~ diamond(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL100-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 This is a CNF_UNS_RFO_SEQ_HRN 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
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 14:57:19 UTC 2026
% 0.09/0.37 % CPUTime :
% 4.55/4.84 % SZS status Unsatisfiable for theBenchmark
% 4.55/4.84 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------