%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO112-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 01:38:10 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named theorem_3_8_2_77)
% Comments :
%------------------------------------------------------------------------------
cnf(49,plain,
between_c(sk15,sk16,sk17,sk18),
inference(cnf,[status(esa)],[theorem_3_8_2_77]) ).
cnf(l0,plain,
between_c(sk15,sk16,sk17,sk18),
inference(instantiation,[status(thm)],[49]) ).
cnf(43,plain,
( X0 != X1
| ~ between_c(X2,X0,X3,X1) ),
inference(cnf,[status(esa)],[between_c_defn_1]) ).
cnf(l1,plain,
( sk16 != sk18
| ~ between_c(sk15,sk16,sk17,sk18) ),
inference(instantiation,[status(thm)],[43]) ).
cnf(48,plain,
( ~ part_of(X0,X1)
| ~ end_point(X2,X0)
| ~ end_point(X3,X0)
| ~ inner_point(X4,X0)
| X2 = X3
| between_c(X1,X2,X4,X3) ),
inference(cnf,[status(esa)],[between_c_defn_6]) ).
cnf(l19,plain,
( ~ part_of(ax1_sk1(sk18,sk17,sk16,sk15),sk15)
| ~ end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15))
| ~ inner_point(sk17,ax1_sk1(sk18,sk17,sk16,sk15))
| sk18 = sk16
| between_c(sk15,sk18,sk17,sk16) ),
inference(instantiation,[status(thm)],[48]) ).
cnf(46,plain,
( ~ between_c(X0,X1,X2,X3)
| end_point(X3,ax1_sk1(X3,X2,X1,X0)) ),
inference(cnf,[status(esa)],[between_c_defn_4]) ).
cnf(l22,plain,
( ~ between_c(sk15,sk16,sk17,sk18)
| end_point(sk18,ax1_sk1(sk18,sk17,sk16,sk15)) ),
inference(instantiation,[status(thm)],[46]) ).
cnf(45,plain,
( ~ between_c(X0,X1,X2,X3)
| end_point(X1,ax1_sk1(X3,X2,X1,X0)) ),
inference(cnf,[status(esa)],[between_c_defn_3]) ).
cnf(l20,plain,
( ~ between_c(sk15,sk16,sk17,sk18)
| end_point(sk16,ax1_sk1(sk18,sk17,sk16,sk15)) ),
inference(instantiation,[status(thm)],[45]) ).
cnf(50,plain,
~ between_c(sk15,sk18,sk17,sk16),
inference(cnf,[status(esa)],[theorem_3_8_2_78]) ).
cnf(l23,plain,
~ between_c(sk15,sk18,sk17,sk16),
inference(instantiation,[status(thm)],[50]) ).
cnf(44,plain,
( ~ between_c(X0,X1,X2,X3)
| part_of(ax1_sk1(X3,X2,X1,X0),X0) ),
inference(cnf,[status(esa)],[between_c_defn_2]) ).
cnf(l21,plain,
( ~ between_c(sk15,sk16,sk17,sk18)
| part_of(ax1_sk1(sk18,sk17,sk16,sk15),sk15) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(47,plain,
( ~ between_c(X0,X1,X2,X3)
| inner_point(X2,ax1_sk1(X3,X2,X1,X0)) ),
inference(cnf,[status(esa)],[between_c_defn_5]) ).
cnf(l24,plain,
( ~ between_c(sk15,sk16,sk17,sk18)
| inner_point(sk17,ax1_sk1(sk18,sk17,sk16,sk15)) ),
inference(instantiation,[status(thm)],[47]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l19,l22,l20,l23,l21,l24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO112-1 : TPTP v9.0.0. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 11:11:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.19/0.35 % launching worker at depth: 10
% 0.19/0.39 % SZS status Theorem for theBenchmark
% 0.19/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------