%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO081-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.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 04:19:15 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 7 unt; 3 nHn; 14 RR)
% Number of literals : 29 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(part_of_defn_1,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
cnf(part_of_transitivity_68,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_transitivity_68) ).
cnf(part_of_transitivity_67,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_transitivity_67) ).
cnf(part_of_defn_3,axiom,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).
cnf(part_of_defn_2,axiom,
( incident_c(ax0_sk1(X1,X2),X1)
| part_of(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
cnf(part_of_transitivity_69,negated_conjecture,
~ part_of(sk14,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_transitivity_69) ).
cnf(c_0_6,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
part_of_defn_1 ).
cnf(c_0_7,negated_conjecture,
part_of(sk15,sk16),
part_of_transitivity_68 ).
cnf(c_0_8,negated_conjecture,
part_of(sk14,sk15),
part_of_transitivity_67 ).
cnf(c_0_9,axiom,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
part_of_defn_3 ).
cnf(c_0_10,negated_conjecture,
( incident_c(X1,sk16)
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( incident_c(X1,sk15)
| ~ incident_c(X1,sk14) ),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_12,axiom,
( incident_c(ax0_sk1(X1,X2),X1)
| part_of(X1,X2) ),
part_of_defn_2 ).
cnf(c_0_13,negated_conjecture,
( part_of(X1,sk16)
| ~ incident_c(ax0_sk1(X1,sk16),sk15) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( incident_c(ax0_sk1(sk14,X1),sk15)
| part_of(sk14,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
~ part_of(sk14,sk16),
part_of_transitivity_69 ).
cnf(c_0_16,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO081-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n023.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 17:40:38 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % 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 : 1.368s
%------------------------------------------------------------------------------