%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO579+1 : TPTP v9.2.1. Released v7.5.0.
% 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 : n027.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 04:21:35 PM UTC 2026
% Result : Theorem 1.45s 1.77s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 47 ( 26 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 68 ( 20 ~; 17 |; 26 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 53 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416041,conjecture,
! [X1,X2,X3,X19,X18,X20,X16] :
( ( eqangle(X19,X1,X1,X2,X19,X1,X1,X3)
& eqangle(X19,X2,X2,X3,X19,X2,X2,X1)
& eqangle(X19,X3,X3,X1,X19,X3,X3,X2)
& perp(X18,X19,X1,X3)
& coll(X18,X1,X3)
& perp(X20,X19,X2,X3)
& coll(X20,X2,X3)
& perp(X16,X2,X1,X19)
& coll(X16,X1,X19) )
=> coll(X16,X18,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416041) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3,X19,X18,X20,X16] :
( ( eqangle(X19,X1,X1,X2,X19,X1,X1,X3)
& eqangle(X19,X2,X2,X3,X19,X2,X2,X1)
& eqangle(X19,X3,X3,X1,X19,X3,X3,X2)
& perp(X18,X19,X1,X3)
& coll(X18,X1,X3)
& perp(X20,X19,X2,X3)
& coll(X20,X2,X3)
& perp(X16,X2,X1,X19)
& coll(X16,X1,X19) )
=> coll(X16,X18,X20) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416041]) ).
fof(c_0_5,plain,
! [X550,X551,X552] :
( ~ coll(X550,X551,X552)
| coll(X550,X552,X551) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
fof(c_0_6,negated_conjecture,
( eqangle(esk24_0,esk21_0,esk21_0,esk22_0,esk24_0,esk21_0,esk21_0,esk23_0)
& eqangle(esk24_0,esk22_0,esk22_0,esk23_0,esk24_0,esk22_0,esk22_0,esk21_0)
& eqangle(esk24_0,esk23_0,esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0)
& perp(esk25_0,esk24_0,esk21_0,esk23_0)
& coll(esk25_0,esk21_0,esk23_0)
& perp(esk26_0,esk24_0,esk22_0,esk23_0)
& coll(esk26_0,esk22_0,esk23_0)
& perp(esk27_0,esk22_0,esk21_0,esk24_0)
& coll(esk27_0,esk21_0,esk24_0)
& ~ coll(esk27_0,esk25_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X556,X557,X558,X559] :
( ~ coll(X556,X557,X558)
| ~ coll(X556,X557,X559)
| coll(X558,X559,X556) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
fof(c_0_8,plain,
! [X553,X554,X555] :
( ~ coll(X553,X554,X555)
| coll(X554,X553,X555) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_9,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
coll(esk25_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
coll(esk25_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( coll(X1,esk23_0,esk25_0)
| ~ coll(esk25_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
coll(esk26_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
coll(esk23_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
coll(esk23_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_14,c_0_10]) ).
cnf(c_0_18,negated_conjecture,
coll(esk27_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( coll(X1,esk23_0,esk26_0)
| ~ coll(esk26_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( coll(X1,esk21_0,esk23_0)
| ~ coll(esk23_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
coll(esk23_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_9,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
coll(esk27_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_9,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
coll(esk23_0,esk23_0,esk26_0),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
coll(esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( coll(X1,esk21_0,esk27_0)
| ~ coll(esk27_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
coll(esk21_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_27,negated_conjecture,
( coll(X1,esk26_0,esk23_0)
| ~ coll(esk23_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
coll(esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_9,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
coll(esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( coll(X1,esk21_0,esk25_0)
| ~ coll(esk25_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_31,negated_conjecture,
coll(esk21_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_9,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
coll(esk21_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( coll(X1,esk27_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
coll(esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_30,c_0_13]) ).
cnf(c_0_35,negated_conjecture,
( coll(X1,esk25_0,esk21_0)
| ~ coll(esk21_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
coll(esk21_0,esk23_0,esk26_0),
inference(spm,[status(thm)],[c_0_9,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
coll(esk25_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
coll(esk26_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
coll(esk25_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_9,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
coll(esk25_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_12,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( coll(X1,esk27_0,esk25_0)
| ~ coll(esk25_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
coll(esk25_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_9,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
coll(esk26_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_44,negated_conjecture,
coll(esk27_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_12,c_0_43]) ).
cnf(c_0_45,negated_conjecture,
~ coll(esk27_0,esk25_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_44]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO579+1 : TPTP v9.2.1. Released v7.5.0.
% 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 : n027.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 18:04:05 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.45/1.77 % Version : CSE_E---1.7
% 1.45/1.77 % Problem : theBenchmark.p
% 1.45/1.77 % SZS status Theorem for theBenchmark.p
% 1.45/1.77 % SZS output start CNFRefutation
% See solution above
% 1.45/1.78 % Total time : 1.373s
%------------------------------------------------------------------------------