%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO126-1 : 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 : n004.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 04:19:23 PM UTC 2026
% Result : Unsatisfiable 3.63s 3.11s
% Output : CNFRefutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 39 ( 17 unt; 6 nHn; 28 RR)
% Number of literals : 70 ( 13 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 55 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(underlying_curve_defn_38,axiom,
( incident_o(X3,X2)
| X1 != underlying_curve(X2)
| ~ incident_c(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',underlying_curve_defn_38) ).
cnf(inner_point_defn_21,axiom,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).
cnf(c3_37,axiom,
inner_point(ax0_sk8(X1),X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c3_37) ).
cnf(start_point_defn_8,axiom,
( X1 = X3
| ordered_by(X2,X1,X3)
| ~ start_point(X1,X2)
| ~ incident_o(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',start_point_defn_8) ).
cnf(o4_29,axiom,
start_point(ax2_sk6(X1),X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o4_29) ).
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(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(o2_21,axiom,
( incident_o(X1,X2)
| ~ incident_c(X1,ax2_sk3(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_21) ).
cnf(theorem_4_11_133,negated_conjecture,
( X1 = X2
| ~ ordered_by(sk25,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_11_133) ).
cnf(o2_19,axiom,
open(ax2_sk3(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_19) ).
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(c_0_11,axiom,
( incident_o(X3,X2)
| X1 != underlying_curve(X2)
| ~ incident_c(X3,X1) ),
underlying_curve_defn_38 ).
cnf(c_0_12,axiom,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inner_point_defn_21 ).
cnf(c_0_13,axiom,
inner_point(ax0_sk8(X1),X1),
c3_37 ).
cnf(c_0_14,plain,
( incident_o(X1,X2)
| ~ incident_c(X1,underlying_curve(X2)) ),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
incident_c(ax0_sk8(X1),X1),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
( X1 = X3
| ordered_by(X2,X1,X3)
| ~ start_point(X1,X2)
| ~ incident_o(X3,X2) ),
start_point_defn_8 ).
cnf(c_0_17,plain,
incident_o(ax0_sk8(underlying_curve(X1)),X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( X1 = ax0_sk8(underlying_curve(X2))
| ordered_by(X2,X1,ax0_sk8(underlying_curve(X2)))
| ~ start_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,axiom,
start_point(ax2_sk6(X1),X1),
o4_29 ).
cnf(c_0_20,axiom,
( incident_c(X1,X2)
| ~ end_point(X1,X2) ),
end_point_defn_13 ).
cnf(c_0_21,axiom,
( end_point(ax0_sk7(X1),X1)
| ~ open(X1) ),
open_defn_33 ).
cnf(c_0_22,axiom,
( incident_o(X1,X2)
| ~ incident_c(X1,ax2_sk3(X2)) ),
o2_21 ).
cnf(c_0_23,negated_conjecture,
( X1 = X2
| ~ ordered_by(sk25,X1,X2) ),
theorem_4_11_133 ).
cnf(c_0_24,plain,
( ax2_sk6(X1) = ax0_sk8(underlying_curve(X1))
| ordered_by(X1,ax2_sk6(X1),ax0_sk8(underlying_curve(X1))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
( incident_c(ax0_sk7(X1),X1)
| ~ open(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,axiom,
open(ax2_sk3(X1)),
o2_19 ).
cnf(c_0_27,plain,
incident_o(ax0_sk8(ax2_sk3(X1)),X1),
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_28,negated_conjecture,
ax2_sk6(sk25) = ax0_sk8(underlying_curve(sk25)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
incident_o(ax0_sk7(ax2_sk3(X1)),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_25]),c_0_26])]) ).
cnf(c_0_30,axiom,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
inner_point_defn_22 ).
cnf(c_0_31,plain,
( X1 = ax0_sk8(ax2_sk3(X2))
| ordered_by(X2,X1,ax0_sk8(ax2_sk3(X2)))
| ~ start_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
start_point(ax0_sk8(underlying_curve(sk25)),sk25),
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
cnf(c_0_33,plain,
( X1 = ax0_sk7(ax2_sk3(X2))
| ordered_by(X2,X1,ax0_sk7(ax2_sk3(X2)))
| ~ start_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_29]) ).
cnf(c_0_34,plain,
~ end_point(ax0_sk8(X1),X1),
inference(spm,[status(thm)],[c_0_30,c_0_13]) ).
cnf(c_0_35,negated_conjecture,
ax0_sk8(ax2_sk3(sk25)) = ax0_sk8(underlying_curve(sk25)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_23]) ).
cnf(c_0_36,negated_conjecture,
ax0_sk7(ax2_sk3(sk25)) = ax0_sk8(underlying_curve(sk25)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_32]),c_0_23]) ).
cnf(c_0_37,negated_conjecture,
~ end_point(ax0_sk8(underlying_curve(sk25)),ax2_sk3(sk25)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_36]),c_0_26])]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO126-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n004.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 17:42:02 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.63/3.11 % Version : CSE_E---1.7
% 3.63/3.11 % Problem : theBenchmark.p
% 3.63/3.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.63/3.11 % SZS output start CNFRefutation
% See solution above
% 3.63/3.12 % Total time : 2.372s
%------------------------------------------------------------------------------