%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO111-1 : 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 : n019.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 04:19:20 PM UTC 2026
% Result : Unsatisfiable 1.67s 1.83s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of clauses : 54 ( 10 unt; 6 nHn; 53 RR)
% Number of literals : 123 ( 24 equ; 66 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 140 ( 22 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(c4_39,axiom,
( X2 = sum(ax0_sk9(X1,X2),ax0_sk10(X1,X2))
| ~ inner_point(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c4_39) ).
cnf(meet_defn_25,axiom,
( incident_c(X1,X3)
| ~ meet(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',meet_defn_25) ).
cnf(c4_38,axiom,
( meet(X1,ax0_sk9(X1,X2),ax0_sk10(X1,X2))
| ~ inner_point(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c4_38) ).
cnf(between_c_defn_5,axiom,
( inner_point(X3,ax1_sk1(X4,X3,X2,X1))
| ~ between_c(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_5) ).
cnf(end_point_defn_13,axiom,
( incident_c(X1,X2)
| ~ end_point(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_13) ).
cnf(between_c_defn_4,axiom,
( end_point(X4,ax1_sk1(X4,X3,X2,X1))
| ~ between_c(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_4) ).
cnf(between_c_defn_2,axiom,
( part_of(ax1_sk1(X4,X3,X2,X1),X1)
| ~ between_c(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_2) ).
cnf(between_c_defn_3,axiom,
( end_point(X2,ax1_sk1(X4,X3,X2,X1))
| ~ between_c(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_3) ).
cnf(theorem_3_8_1_77,negated_conjecture,
between_c(sk15,sk16,sk17,sk18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_1_77) ).
cnf(theorem_3_8_1_78,negated_conjecture,
( sk16 = sk17
| sk17 = sk18
| sk16 = sk18
| ~ incident_c(sk16,sk15)
| ~ incident_c(sk17,sk15)
| ~ incident_c(sk18,sk15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_1_78) ).
cnf(inner_point_defn_22,axiom,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
cnf(between_c_defn_1,axiom,
( ~ between_c(X1,X2,X3,X4)
| X2 != X4 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-1.ax',between_c_defn_1) ).
cnf(c_0_14,axiom,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X3) ),
sum_defn_6 ).
cnf(c_0_15,axiom,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
part_of_defn_1 ).
cnf(c_0_16,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X3) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ part_of(sum(X4,X3),X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,axiom,
( X2 = sum(ax0_sk9(X1,X2),ax0_sk10(X1,X2))
| ~ inner_point(X1,X2) ),
c4_39 ).
cnf(c_0_19,axiom,
( incident_c(X1,X3)
| ~ meet(X1,X2,X3) ),
meet_defn_25 ).
cnf(c_0_20,axiom,
( meet(X1,ax0_sk9(X1,X2),ax0_sk10(X1,X2))
| ~ inner_point(X1,X2) ),
c4_38 ).
cnf(c_0_21,plain,
( incident_c(X1,X2)
| ~ inner_point(X3,X4)
| ~ incident_c(X1,ax0_sk10(X3,X4))
| ~ part_of(X4,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
( incident_c(X1,ax0_sk10(X1,X2))
| ~ inner_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
( incident_c(X1,X2)
| ~ inner_point(X1,X3)
| ~ part_of(X3,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,axiom,
( inner_point(X3,ax1_sk1(X4,X3,X2,X1))
| ~ between_c(X1,X2,X3,X4) ),
between_c_defn_5 ).
cnf(c_0_25,axiom,
( incident_c(X1,X2)
| ~ end_point(X1,X2) ),
end_point_defn_13 ).
cnf(c_0_26,axiom,
( end_point(X4,ax1_sk1(X4,X3,X2,X1))
| ~ between_c(X1,X2,X3,X4) ),
between_c_defn_4 ).
cnf(c_0_27,plain,
( incident_c(X1,X2)
| ~ between_c(X3,X4,X1,X5)
| ~ part_of(ax1_sk1(X5,X1,X4,X3),X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,axiom,
( part_of(ax1_sk1(X4,X3,X2,X1),X1)
| ~ between_c(X1,X2,X3,X4) ),
between_c_defn_2 ).
cnf(c_0_29,plain,
( incident_c(X1,ax1_sk1(X1,X2,X3,X4))
| ~ between_c(X4,X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,axiom,
( end_point(X2,ax1_sk1(X4,X3,X2,X1))
| ~ between_c(X1,X2,X3,X4) ),
between_c_defn_3 ).
cnf(c_0_31,plain,
( incident_c(X1,X2)
| ~ between_c(X2,X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
between_c(sk15,sk16,sk17,sk18),
theorem_3_8_1_77 ).
cnf(c_0_33,plain,
( incident_c(X1,X2)
| ~ between_c(X3,X4,X5,X1)
| ~ part_of(ax1_sk1(X1,X5,X4,X3),X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_29]) ).
cnf(c_0_34,plain,
( incident_c(X1,ax1_sk1(X2,X3,X1,X4))
| ~ between_c(X4,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( sk16 = sk17
| sk17 = sk18
| sk16 = sk18
| ~ incident_c(sk16,sk15)
| ~ incident_c(sk17,sk15)
| ~ incident_c(sk18,sk15) ),
theorem_3_8_1_78 ).
cnf(c_0_36,negated_conjecture,
incident_c(sk17,sk15),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( incident_c(X1,X2)
| ~ between_c(X2,X3,X4,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_28]) ).
cnf(c_0_38,plain,
( incident_c(X1,X2)
| ~ between_c(X3,X1,X4,X5)
| ~ part_of(ax1_sk1(X5,X4,X1,X3),X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( sk18 = sk17
| sk18 = sk16
| sk17 = sk16
| ~ incident_c(sk16,sk15)
| ~ incident_c(sk18,sk15) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).
cnf(c_0_40,negated_conjecture,
incident_c(sk18,sk15),
inference(spm,[status(thm)],[c_0_37,c_0_32]) ).
cnf(c_0_41,plain,
( incident_c(X1,X2)
| ~ between_c(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_28]) ).
cnf(c_0_42,axiom,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
inner_point_defn_22 ).
cnf(c_0_43,negated_conjecture,
( sk17 = sk16
| sk18 = sk16
| sk18 = sk17
| ~ incident_c(sk16,sk15) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).
cnf(c_0_44,negated_conjecture,
incident_c(sk16,sk15),
inference(spm,[status(thm)],[c_0_41,c_0_32]) ).
cnf(c_0_45,plain,
( ~ between_c(X1,X2,X3,X4)
| ~ end_point(X3,ax1_sk1(X4,X3,X2,X1)) ),
inference(spm,[status(thm)],[c_0_42,c_0_24]) ).
cnf(c_0_46,negated_conjecture,
( sk18 = sk17
| sk18 = sk16
| sk17 = sk16 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).
cnf(c_0_47,plain,
~ between_c(X1,X2,X3,X3),
inference(spm,[status(thm)],[c_0_45,c_0_26]) ).
cnf(c_0_48,axiom,
( ~ between_c(X1,X2,X3,X4)
| X2 != X4 ),
between_c_defn_1 ).
cnf(c_0_49,negated_conjecture,
( sk17 = sk16
| sk18 = sk16 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_46]),c_0_47]) ).
cnf(c_0_50,plain,
~ between_c(X1,X2,X3,X2),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_51,negated_conjecture,
sk17 = sk16,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_49]),c_0_50]) ).
cnf(c_0_52,plain,
~ between_c(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_45,c_0_30]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_51]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO111-1 : 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 : n019.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 17:41:59 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.67/1.83 % Version : CSE_E---1.7
% 1.67/1.83 % Problem : theBenchmark.p
% 1.67/1.83 % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.83 % SZS output start CNFRefutation
% See solution above
% 1.67/1.83 % Total time : 1.371s
%------------------------------------------------------------------------------