%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO044-3 : 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 : n016.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 08:39:20 AM UTC 2026
% Result : Unsatisfiable 8.40s 8.85s
% Output : Proof 8.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 21 unt; 2 nHn; 27 RR)
% Number of literals : 45 ( 8 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 25 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,W,V)),
file('GEO002-0.ax',segment_construction1) ).
cnf(segment_construction2,axiom,
equidistant(Y,extension(X,Y,W,V),W,V),
file('GEO002-0.ax',segment_construction2) ).
cnf(d4_4,axiom,
( equidistant(X,W,U,V)
| ~ equidistant(U,V,W,X) ),
file('theBenchmark.p',d4_4) ).
cnf(b0,axiom,
( between(U,V,Y)
| Y != extension(U,V,W,X) ),
file('theBenchmark.p',b0) ).
cnf(d9,axiom,
( W = X
| U = V
| ~ equidistant(V,W,V,X)
| ~ between(U,V,X)
| ~ between(U,V,W) ),
file('theBenchmark.p',d9) ).
cnf(b5,axiom,
( between(V,W,X)
| ~ between(U,W,X)
| ~ between(U,V,W) ),
file('theBenchmark.p',b5) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('theBenchmark.p',v_between_u_and_w) ).
cnf(w_between_v_and_x,hypothesis,
between(v,w,x),
file('theBenchmark.p',w_between_v_and_x) ).
cnf(v_not_w,hypothesis,
v != w,
file('theBenchmark.p',v_not_w) ).
cnf(prove_w_between_u_and_x,negated_conjecture,
~ between(u,w,x),
file('theBenchmark.p',prove_w_between_u_and_x) ).
cnf(t1,plain,
v != w,
inference(start,[status(thm),parent(0:0)],[v_not_w]) ).
cnf(t2,plain,
( ~ between(v,w,extension(u,w,x,w))
| ~ equidistant(w,x,w,extension(u,w,x,w))
| x = extension(u,w,x,w)
| ~ between(v,w,x)
| v = w ),
inference(extension,[status(thm),parent(t1:1)],[d9]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
between(v,w,x),
inference(extension,[status(thm),parent(t2:2)],[w_between_v_and_x]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( between(u,w,x)
| x != extension(u,w,x,w) ),
inference(extension,[status(thm),parent(t2:3)],[b0]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
~ between(u,w,x),
inference(extension,[status(thm),parent(t6:2)],[prove_w_between_u_and_x]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ equidistant(w,extension(u,w,x,w),x,w)
| equidistant(w,x,w,extension(u,w,x,w)) ),
inference(extension,[status(thm),parent(t2:4)],[d4_4]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:4]) ).
cnf(t12,plain,
equidistant(w,extension(u,w,x,w),x,w),
inference(extension,[status(thm),parent(t10:2)],[segment_construction2]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ between(u,w,extension(u,w,x,w))
| ~ between(u,v,w)
| between(v,w,extension(u,w,x,w)) ),
inference(extension,[status(thm),parent(t2:5)],[b5]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:5]) ).
cnf(t16,plain,
between(u,v,w),
inference(extension,[status(thm),parent(t14:2)],[v_between_u_and_w]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
between(u,w,extension(u,w,x,w)),
inference(extension,[status(thm),parent(t14:3)],[segment_construction1]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO044-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.51 % Computer : n016.cluster.edu
% 0.10/0.51 % Model : x86_64 x86_64
% 0.10/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.51 % Memory : 8046.5625MB
% 0.10/0.51 % OS : Linux 6.8.0-71-generic
% 0.10/0.51 % CPULimit : 300
% 0.10/0.51 % WCLimit : 300
% 0.10/0.51 % DateTime : Sat Sep 19 07:18:50 UTC 2026
% 0.10/0.52 % CPUTime :
% 8.40/8.85 % SZS status Unsatisfiable for theBenchmark
% 8.40/8.85 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------