%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO039-3 : TPTP v9.3.1. Released v1.0.0.
% 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 : 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 08:39:19 AM UTC 2026
% Result : Unsatisfiable 32.56s 32.87s
% Output : Proof 32.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 17 unt; 0 nHn; 20 RR)
% Number of literals : 35 ( 16 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 21 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( X = Y
| ~ between(X,Y,X) ),
file('GEO002-0.ax',identity_for_betweeness) ).
cnf(e1,axiom,
V = extension(U,V,W,W),
file('theBenchmark.p',e1) ).
cnf(b0,axiom,
( between(U,V,Y)
| Y != extension(U,V,W,X) ),
file('theBenchmark.p',b0) ).
cnf(w_between_u_and_x,hypothesis,
between(u,w,x),
file('theBenchmark.p',w_between_u_and_x) ).
cnf(u_is_x,hypothesis,
u = x,
file('theBenchmark.p',u_is_x) ).
cnf(prove_corollary,negated_conjecture,
~ between(v,w,x),
file('theBenchmark.p',prove_corollary) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_11,axiom,
( between(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ between(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(t1,plain,
~ between(v,w,x),
inference(start,[status(thm),parent(0:0)],[prove_corollary]) ).
cnf(t2,plain,
( x != extension(v,w,U_1161,U_1161)
| between(v,w,x) ),
inference(extension,[status(thm),parent(t1:1)],[b0]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ between(x,extension(v,w,U_1161,U_1161),x)
| x = extension(v,w,U_1161,U_1161) ),
inference(extension,[status(thm),parent(t2:2)],[identity_for_betweeness]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( w != extension(v,w,U_1161,U_1161)
| x != x
| ~ between(u,w,x)
| u != x
| between(x,extension(v,w,U_1161,U_1161),x) ),
inference(extension,[status(thm),parent(t4:2)],[equality_11]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
u = x,
inference(extension,[status(thm),parent(t6:2)],[u_is_x]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
between(u,w,x),
inference(extension,[status(thm),parent(t6:3)],[w_between_u_and_x]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
x = x,
inference(extension,[status(thm),parent(t6:4)],[equality_1]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).
cnf(t14,plain,
w = extension(v,w,U_1161,U_1161),
inference(extension,[status(thm),parent(t6:5)],[e1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO039-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 07:16:06 UTC 2026
% 0.08/0.35 % CPUTime :
% 32.56/32.87 % SZS status Unsatisfiable for theBenchmark
% 32.56/32.87 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------