%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO033-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 : n013.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 08:39:18 AM UTC 2026
% Result : Unsatisfiable 135.93s 141.84s
% Output : Proof 135.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 34 ( 30 unt; 0 nHn; 34 RR)
% Number of literals : 54 ( 0 equ; 22 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(d8,axiom,
( equidistant(U,W,U1,W1)
| ~ between(U1,V1,W1)
| ~ between(U,V,W)
| ~ equidistant(V,W,V1,W1)
| ~ equidistant(U,V,U1,V1) ),
file('theBenchmark.p',d8) ).
cnf(d12,axiom,
( equidistant(V,X,V1,X1)
| ~ between(U1,V1,W1)
| ~ between(U,V,W)
| ~ equidistant(W,X,W1,X1)
| ~ equidistant(U,X,U1,X1)
| ~ equidistant(U,W,U1,W1)
| ~ equidistant(U,V,U1,V1) ),
file('theBenchmark.p',d12) ).
cnf(u_to_v_equals_u1_to_v1,hypothesis,
equidistant(u,v,u1,v1),
file('theBenchmark.p',u_to_v_equals_u1_to_v1) ).
cnf(v_to_w_equals_v1_to_w1,hypothesis,
equidistant(v,w,v1,w1),
file('theBenchmark.p',v_to_w_equals_v1_to_w1) ).
cnf(u_to_x_equals_u1_to_x1,hypothesis,
equidistant(u,x,u1,x1),
file('theBenchmark.p',u_to_x_equals_u1_to_x1) ).
cnf(w_to_x_equals_w1_to_x1,hypothesis,
equidistant(w,x,w1,x1),
file('theBenchmark.p',w_to_x_equals_w1_to_x1) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('theBenchmark.p',v_between_u_and_w) ).
cnf(v1_between_u1_and_w1,hypothesis,
between(u1,v1,w1),
file('theBenchmark.p',v1_between_u1_and_w1) ).
cnf(prove_v_to_x_equals_v1_to_x1,negated_conjecture,
~ equidistant(v,x,v1,x1),
file('theBenchmark.p',prove_v_to_x_equals_v1_to_x1) ).
cnf(t1,plain,
~ equidistant(v,x,v1,x1),
inference(start,[status(thm),parent(0:0)],[prove_v_to_x_equals_v1_to_x1]) ).
cnf(t2,plain,
( ~ equidistant(u,w,u1,w1)
| ~ equidistant(u,x,u1,x1)
| ~ equidistant(w,x,w1,x1)
| ~ between(u,v,w)
| ~ between(u1,v1,w1)
| ~ equidistant(u,v,u1,v1)
| equidistant(v,x,v1,x1) ),
inference(extension,[status(thm),parent(t1:1)],[d12]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
equidistant(u,v,u1,v1),
inference(extension,[status(thm),parent(t2:2)],[u_to_v_equals_u1_to_v1]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
between(u1,v1,w1),
inference(extension,[status(thm),parent(t2:3)],[v1_between_u1_and_w1]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(l3,lemma,
between(u1,v1,w1),
inference(lemma,[status(cth),parent(t2:3),below(t1:1)],[t2:3]) ).
cnf(t8,plain,
between(u,v,w),
inference(extension,[status(thm),parent(t2:4)],[v_between_u_and_w]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
cnf(l4,lemma,
between(u,v,w),
inference(lemma,[status(cth),parent(t2:4),below(t1:1)],[t2:4]) ).
cnf(t10,plain,
equidistant(w,x,w1,x1),
inference(extension,[status(thm),parent(t2:5)],[w_to_x_equals_w1_to_x1]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:5]) ).
cnf(t12,plain,
equidistant(u,x,u1,x1),
inference(extension,[status(thm),parent(t2:6)],[u_to_x_equals_u1_to_x1]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:6]) ).
cnf(t14,plain,
( ~ equidistant(v,w,v1,w1)
| ~ between(u,v,w)
| ~ between(u1,v1,w1)
| ~ equidistant(u,v,u1,v1)
| equidistant(u,w,u1,w1) ),
inference(extension,[status(thm),parent(t2:7)],[d8]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:7]) ).
cnf(t16,plain,
equidistant(u,v,u1,v1),
inference(extension,[status(thm),parent(t14:2)],[u_to_v_equals_u1_to_v1]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
between(u1,v1,w1),
inference(lemma_extension,[status(thm),parent(t14:3)],[l3:1]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
between(u,v,w),
inference(lemma_extension,[status(thm),parent(t14:4)],[l4:1]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t14:4]) ).
cnf(t22,plain,
equidistant(v,w,v1,w1),
inference(extension,[status(thm),parent(t14:5)],[v_to_w_equals_v1_to_w1]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t14:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO033-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN 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
% 0.08/5.99 % Computer : n013.cluster.edu
% 0.08/5.99 % Model : x86_64 x86_64
% 0.08/5.99 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.99 % Memory : 8046.5625MB
% 0.08/5.99 % OS : Linux 6.8.0-71-generic
% 0.08/5.99 % CPULimit : 300
% 0.08/5.99 % WCLimit : 300
% 0.08/5.99 % DateTime : Sat Sep 19 07:16:01 UTC 2026
% 0.08/5.99 % CPUTime :
% 135.93/141.84 % SZS status Unsatisfiable for theBenchmark
% 135.93/141.84 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------