%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO094+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 : n001.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 04:19:18 PM UTC 2026
% Result : Theorem 1.31s 1.74s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 12 unt; 0 def)
% Number of atoms : 169 ( 0 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 204 ( 77 ~; 83 |; 34 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 83 ( 6 sgn 45 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(proposition_2_14_3,conjecture,
! [X1,X2,X4,X3] :
( ( meet(X3,X2,X4)
& part_of(X2,X1)
& part_of(X4,X1) )
=> ~ end_point(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3) ).
fof(end_point_defn,axiom,
! [X3,X1] :
( end_point(X3,X1)
<=> ( incident_c(X3,X1)
& ! [X2,X4] :
( ( part_of(X2,X1)
& part_of(X4,X1)
& incident_c(X3,X2)
& incident_c(X3,X4) )
=> ( part_of(X2,X4)
| part_of(X4,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',end_point_defn) ).
fof(meet_defn,axiom,
! [X3,X1,X2] :
( meet(X3,X1,X2)
<=> ( incident_c(X3,X1)
& incident_c(X3,X2)
& ! [X5] :
( ( incident_c(X5,X1)
& incident_c(X5,X2) )
=> ( end_point(X5,X1)
& end_point(X5,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',meet_defn) ).
fof(inner_point_defn,axiom,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( incident_c(X3,X1)
& ~ end_point(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(c3,axiom,
! [X1] :
? [X3] : inner_point(X3,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c3) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2,X4,X3] :
( ( meet(X3,X2,X4)
& part_of(X2,X1)
& part_of(X4,X1) )
=> ~ end_point(X3,X1) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[proposition_2_14_3])]) ).
fof(c_0_7,plain,
! [X80,X81,X82,X83,X84,X85] :
( ( incident_c(X80,X81)
| ~ end_point(X80,X81) )
& ( ~ part_of(X82,X81)
| ~ part_of(X83,X81)
| ~ incident_c(X80,X82)
| ~ incident_c(X80,X83)
| part_of(X82,X83)
| part_of(X83,X82)
| ~ end_point(X80,X81) )
& ( part_of(esk3_2(X84,X85),X85)
| ~ incident_c(X84,X85)
| end_point(X84,X85) )
& ( part_of(esk4_2(X84,X85),X85)
| ~ incident_c(X84,X85)
| end_point(X84,X85) )
& ( incident_c(X84,esk3_2(X84,X85))
| ~ incident_c(X84,X85)
| end_point(X84,X85) )
& ( incident_c(X84,esk4_2(X84,X85))
| ~ incident_c(X84,X85)
| end_point(X84,X85) )
& ( ~ part_of(esk3_2(X84,X85),esk4_2(X84,X85))
| ~ incident_c(X84,X85)
| end_point(X84,X85) )
& ( ~ part_of(esk4_2(X84,X85),esk3_2(X84,X85))
| ~ incident_c(X84,X85)
| end_point(X84,X85) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[end_point_defn])])])])])]) ).
fof(c_0_8,negated_conjecture,
( meet(esk17_0,esk15_0,esk16_0)
& part_of(esk15_0,esk14_0)
& part_of(esk16_0,esk14_0)
& end_point(esk17_0,esk14_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_9,plain,
! [X90,X91,X92,X93,X94,X95,X96] :
( ( incident_c(X90,X91)
| ~ meet(X90,X91,X92) )
& ( incident_c(X90,X92)
| ~ meet(X90,X91,X92) )
& ( end_point(X93,X91)
| ~ incident_c(X93,X91)
| ~ incident_c(X93,X92)
| ~ meet(X90,X91,X92) )
& ( end_point(X93,X92)
| ~ incident_c(X93,X91)
| ~ incident_c(X93,X92)
| ~ meet(X90,X91,X92) )
& ( incident_c(esk5_3(X94,X95,X96),X95)
| ~ incident_c(X94,X95)
| ~ incident_c(X94,X96)
| meet(X94,X95,X96) )
& ( incident_c(esk5_3(X94,X95,X96),X96)
| ~ incident_c(X94,X95)
| ~ incident_c(X94,X96)
| meet(X94,X95,X96) )
& ( ~ end_point(esk5_3(X94,X95,X96),X95)
| ~ end_point(esk5_3(X94,X95,X96),X96)
| ~ incident_c(X94,X95)
| ~ incident_c(X94,X96)
| meet(X94,X95,X96) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[meet_defn])])])])])]) ).
cnf(c_0_10,plain,
( part_of(X1,X3)
| part_of(X3,X1)
| ~ part_of(X1,X2)
| ~ part_of(X3,X2)
| ~ incident_c(X4,X1)
| ~ incident_c(X4,X3)
| ~ end_point(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
end_point(esk17_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( incident_c(X1,X2)
| ~ meet(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
meet(esk17_0,esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ incident_c(esk17_0,X1)
| ~ incident_c(esk17_0,X2)
| ~ part_of(X1,esk14_0)
| ~ part_of(X2,esk14_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
incident_c(esk17_0,esk16_0),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
part_of(esk16_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( incident_c(X1,X2)
| ~ meet(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_18,plain,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( incident_c(X3,X1)
& ~ end_point(X3,X1) ) ),
inference(fof_simplification,[status(thm)],[inner_point_defn]) ).
fof(c_0_19,plain,
! [X65,X66,X67,X68,X69] :
( ( ~ part_of(X66,X65)
| ~ incident_c(X67,X66)
| incident_c(X67,X65) )
& ( incident_c(esk1_2(X68,X69),X69)
| part_of(X69,X68) )
& ( ~ incident_c(esk1_2(X68,X69),X68)
| part_of(X69,X68) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[part_of_defn])])])])])]) ).
cnf(c_0_20,negated_conjecture,
( part_of(X1,esk16_0)
| part_of(esk16_0,X1)
| ~ incident_c(esk17_0,X1)
| ~ part_of(X1,esk14_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_21,negated_conjecture,
incident_c(esk17_0,esk15_0),
inference(spm,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_22,negated_conjecture,
part_of(esk15_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ meet(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_24,plain,
! [X88,X89] :
( ( incident_c(X88,X89)
| ~ inner_point(X88,X89) )
& ( ~ end_point(X88,X89)
| ~ inner_point(X88,X89) )
& ( ~ incident_c(X88,X89)
| end_point(X88,X89)
| inner_point(X88,X89) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
cnf(c_0_25,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( part_of(esk16_0,esk15_0)
| part_of(esk15_0,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_27,negated_conjecture,
( end_point(X1,esk15_0)
| ~ incident_c(X1,esk16_0)
| ~ incident_c(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_13]) ).
cnf(c_0_28,plain,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( incident_c(X1,esk16_0)
| part_of(esk16_0,esk15_0)
| ~ incident_c(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( ~ inner_point(X1,esk15_0)
| ~ incident_c(X1,esk16_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
fof(c_0_32,plain,
! [X113] : inner_point(esk8_1(X113),X113),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c3])]) ).
cnf(c_0_33,negated_conjecture,
( part_of(esk16_0,esk15_0)
| ~ inner_point(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_31]) ).
cnf(c_0_34,plain,
inner_point(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_35,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2)
| ~ meet(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_36,negated_conjecture,
part_of(esk16_0,esk15_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
( end_point(X1,esk16_0)
| ~ incident_c(X1,esk15_0)
| ~ incident_c(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_13]) ).
cnf(c_0_38,negated_conjecture,
( incident_c(X1,esk15_0)
| ~ incident_c(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
( end_point(X1,esk16_0)
| ~ incident_c(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,negated_conjecture,
~ inner_point(X1,esk16_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_28]),c_0_29]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_40,c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO094+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
% 0.15/0.32 % Computer : n001.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 17:41:03 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.31/1.74 % Version : CSE_E---1.7
% 1.31/1.74 % Problem : theBenchmark.p
% 1.31/1.74 % SZS status Theorem for theBenchmark.p
% 1.31/1.74 % SZS output start CNFRefutation
% See solution above
% 1.31/1.74 % Total time : 1.371s
%------------------------------------------------------------------------------