%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO083-1 : 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 : n012.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 52.66s 30.66s
% Output : CNFRefutation 52.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 30 ( 7 unt; 8 nHn; 20 RR)
% Number of literals : 65 ( 6 equ; 28 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 66 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sum_defn_6,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_6) ).
cnf(part_of_defn_1,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
cnf(corollary_2_6_1_67,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_1_67) ).
cnf(part_of_defn_3,axiom,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
cnf(sum_defn_4,axiom,
( incident_c(X4,X2)
| incident_c(X4,X3)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_4) ).
cnf(sum_defn_5,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_5) ).
cnf(corollary_2_6_1_70,negated_conjecture,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_1_70) ).
cnf(c_0_8,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X3) ),
sum_defn_6 ).
cnf(c_0_9,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
part_of_defn_1 ).
cnf(c_0_10,negated_conjecture,
part_of(sk15,sk16),
corollary_2_6_1_67 ).
cnf(c_0_11,axiom,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
part_of_defn_3 ).
cnf(c_0_12,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X3) ),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( incident_c(X1,sk16)
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,axiom,
( incident_c(ax0_sk1(X1,X2),X1)
| part_of(X1,X2) ),
part_of_defn_2 ).
cnf(c_0_15,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(ax0_sk1(X1,sum(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( incident_c(ax0_sk1(sk15,X1),sk16)
| part_of(sk15,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
part_of(sk15,sum(X1,sk16)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,axiom,
( incident_c(X4,X2)
| incident_c(X4,X3)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X1) ),
sum_defn_4 ).
cnf(c_0_19,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X2) ),
sum_defn_5 ).
cnf(c_0_20,negated_conjecture,
( incident_c(X1,sum(X2,sk16))
| ~ incident_c(X1,sk15) ),
inference(spm,[status(thm)],[c_0_9,c_0_17]) ).
cnf(c_0_21,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,sum(X3,X2)) ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X2) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( part_of(X1,sum(X2,sk16))
| ~ incident_c(ax0_sk1(X1,sum(X2,sk16)),sk15) ),
inference(spm,[status(thm)],[c_0_11,c_0_20]) ).
cnf(c_0_24,plain,
( incident_c(ax0_sk1(sum(X1,X2),X3),X1)
| incident_c(ax0_sk1(sum(X1,X2),X3),X2)
| part_of(sum(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_14]) ).
cnf(c_0_25,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(ax0_sk1(X1,sum(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( incident_c(ax0_sk1(sum(X1,sk15),sum(X2,sk16)),X1)
| part_of(sum(X1,sk15),sum(X2,sk16)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
corollary_2_6_1_70 ).
cnf(c_0_28,negated_conjecture,
part_of(sum(X1,sk15),sum(X1,sk16)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GEO083-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.06 % 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
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 17:40:46 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 52.66/30.66 % Version : CSE_E---1.7
% 52.66/30.66 % Problem : theBenchmark.p
% 52.66/30.66 % SZS status Unsatisfiable for theBenchmark.p
% 52.66/30.66 % SZS output start CNFRefutation
% See solution above
% 52.87/30.84 % Total time : 23.389s
%------------------------------------------------------------------------------