%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO117-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n007.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 08:39:32 AM UTC 2026
% Result : Unsatisfiable 7.24s 7.58s
% Output : Proof 7.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 24 ( 14 unt; 2 nHn; 23 RR)
% Number of literals : 40 ( 6 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-4 aty)
% Number of variables : 16 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(between_c_defn_1,axiom,
( B != D
| ~ between_c(A,B,C,D) ),
file('GEO004-1.ax',between_c_defn_1) ).
cnf(between_o_defn_6,axiom,
( between_o(A,D,C,B)
| ~ ordered_by(A,C,D)
| ~ ordered_by(A,B,C) ),
file('GEO004-2.ax',between_o_defn_6) ).
cnf(o3_24,axiom,
( between_c(ax2_sk4(A,D,C,B),B,C,D)
| ~ between_o(A,B,C,D) ),
file('GEO004-2.ax',o3_24) ).
cnf(o6_33,axiom,
( A = B
| ordered_by(B,ax2_sk8(B,A),ax2_sk9(B,A))
| ordered_by(A,ax2_sk8(B,A),ax2_sk9(B,A)) ),
file('GEO004-2.ax',o6_33) ).
cnf(o6_36,axiom,
( B = A
| ~ ordered_by(B,ax2_sk8(A,B),ax2_sk9(A,B))
| ~ ordered_by(A,ax2_sk8(A,B),ax2_sk9(A,B)) ),
file('GEO004-2.ax',o6_36) ).
cnf(theorem_4_4_133,negated_conjecture,
ordered_by(sk25,sk26,sk26),
file('theBenchmark.p',theorem_4_4_133) ).
cnf(t1,plain,
( sk26 != sk26
| ~ between_c(ax2_sk4(sk25,sk26,sk26,sk26),sk26,sk26,sk26) ),
inference(start,[status(thm),parent(0:0)],[between_c_defn_1]) ).
cnf(t2,plain,
( ~ between_o(sk25,sk26,sk26,sk26)
| between_c(ax2_sk4(sk25,sk26,sk26,sk26),sk26,sk26,sk26) ),
inference(extension,[status(thm),parent(t1:1)],[o3_24]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ ordered_by(sk25,sk26,sk26)
| ~ ordered_by(sk25,sk26,sk26)
| between_o(sk25,sk26,sk26,sk26) ),
inference(extension,[status(thm),parent(t2:2)],[between_o_defn_6]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
ordered_by(sk25,sk26,sk26),
inference(extension,[status(thm),parent(t4:2)],[theorem_4_4_133]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
ordered_by(sk25,sk26,sk26),
inference(extension,[status(thm),parent(t4:3)],[theorem_4_4_133]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
( ~ ordered_by(sk26,ax2_sk8(sk26,sk26),ax2_sk9(sk26,sk26))
| ~ ordered_by(sk26,ax2_sk8(sk26,sk26),ax2_sk9(sk26,sk26))
| sk26 = sk26 ),
inference(extension,[status(thm),parent(t1:2)],[o6_36]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t1:2]) ).
cnf(t12,plain,
( sk26 = sk26
| ordered_by(sk26,ax2_sk8(sk26,sk26),ax2_sk9(sk26,sk26))
| ordered_by(sk26,ax2_sk8(sk26,sk26),ax2_sk9(sk26,sk26)) ),
inference(extension,[status(thm),parent(t10:2)],[o6_33]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
$false,
inference(reduction,[status(thm),parent(t12:2)],[t12:2,t10:2]) ).
cnf(t15,plain,
$false,
inference(reduction,[status(thm),parent(t12:3)],[t12:3,t1:2]) ).
cnf(l6,lemma,
ordered_by(sk26,ax2_sk8(sk26,sk26),ax2_sk9(sk26,sk26)),
inference(lemma,[status(cth),parent(t10:2),below(t1:2)],[t10:2]) ).
cnf(t16,plain,
ordered_by(sk26,ax2_sk8(sk26,sk26),ax2_sk9(sk26,sk26)),
inference(lemma_extension,[status(thm),parent(t10:3)],[l6:1]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t10:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO117-1 : TPTP v9.3.1. Released v2.4.0.
% 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
% 0.08/0.37 % Computer : n007.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sat Sep 19 07:25:04 UTC 2026
% 0.08/0.37 % CPUTime :
% 7.24/7.58 % SZS status Unsatisfiable for theBenchmark
% 7.24/7.58 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------