%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO041-3 : 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 : n005.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 2.17s 2.40s
% Output : Proof 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 16 RR)
% Number of literals : 23 ( 4 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
( between(W,V,U)
| ~ between(U,V,W) ),
file('theBenchmark.p',t1) ).
cnf(b2,axiom,
( U = V
| ~ between(V,U,W)
| ~ between(U,V,W) ),
file('theBenchmark.p',b2) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('theBenchmark.p',v_between_u_and_w) ).
cnf(w_between_u_and_v,hypothesis,
between(u,w,v),
file('theBenchmark.p',w_between_u_and_v) ).
cnf(prove_v_is_w,negated_conjecture,
v != w,
file('theBenchmark.p',prove_v_is_w) ).
cnf(t1_001,plain,
v != w,
inference(start,[status(thm),parent(0:0)],[prove_v_is_w]) ).
cnf(t2,plain,
( ~ between(w,v,u)
| ~ between(v,w,u)
| v = w ),
inference(extension,[status(thm),parent(t1:1)],[b2]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ between(u,w,v)
| between(v,w,u) ),
inference(extension,[status(thm),parent(t2:2)],[t1]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
between(u,w,v),
inference(extension,[status(thm),parent(t4:2)],[w_between_u_and_v]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ between(u,v,w)
| between(w,v,u) ),
inference(extension,[status(thm),parent(t2:3)],[t1]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
between(u,v,w),
inference(extension,[status(thm),parent(t8:2)],[v_between_u_and_w]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO041-3 : 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
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 19 07:14:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 2.17/2.40 % SZS status Unsatisfiable for theBenchmark
% 2.17/2.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------