%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO085-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n006.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 : Tue May 5 04:19:16 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 5 unt; 2 nHn; 17 RR)
% Number of literals : 35 ( 7 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 22 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(theorem_2_7_1_68,negated_conjecture,
( X1 = X2
| ~ end_point(X1,sk14)
| ~ end_point(X2,sk14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_7_1_68) ).
cnf(closed_defn_32,axiom,
( end_point(ax0_sk6(X1),X1)
| closed(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',closed_defn_32) ).
cnf(closed_defn_31,axiom,
( ~ closed(X1)
| ~ end_point(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',closed_defn_31) ).
cnf(open_defn_33,axiom,
( end_point(ax0_sk7(X1),X1)
| ~ open(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',open_defn_33) ).
cnf(theorem_2_7_1_67,negated_conjecture,
open(sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_7_1_67) ).
cnf(c6_41,axiom,
( end_point(ax0_sk11(X1,X2),X2)
| ~ end_point(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c6_41) ).
cnf(c6_42,axiom,
( ~ end_point(X1,X2)
| X1 != ax0_sk11(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c6_42) ).
cnf(c_0_7,negated_conjecture,
( X1 = X2
| ~ end_point(X1,sk14)
| ~ end_point(X2,sk14) ),
theorem_2_7_1_68 ).
cnf(c_0_8,axiom,
( end_point(ax0_sk6(X1),X1)
| closed(X1) ),
closed_defn_32 ).
cnf(c_0_9,axiom,
( ~ closed(X1)
| ~ end_point(X2,X1) ),
closed_defn_31 ).
cnf(c_0_10,negated_conjecture,
( X1 = ax0_sk6(sk14)
| ~ end_point(X1,sk14) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_11,axiom,
( end_point(ax0_sk7(X1),X1)
| ~ open(X1) ),
open_defn_33 ).
cnf(c_0_12,negated_conjecture,
open(sk14),
theorem_2_7_1_67 ).
cnf(c_0_13,axiom,
( end_point(ax0_sk11(X1,X2),X2)
| ~ end_point(X1,X2) ),
c6_41 ).
cnf(c_0_14,negated_conjecture,
ax0_sk7(sk14) = ax0_sk6(sk14),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_15,axiom,
( ~ end_point(X1,X2)
| X1 != ax0_sk11(X1,X2) ),
c6_42 ).
cnf(c_0_16,negated_conjecture,
( ax0_sk11(X1,sk14) = ax0_sk6(sk14)
| ~ end_point(X1,sk14) ),
inference(spm,[status(thm)],[c_0_10,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
end_point(ax0_sk6(sk14),sk14),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_14]),c_0_12])]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16])]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO085-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n006.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 17:40:31 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------