%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO620+1 : TPTP v9.2.1. Released v7.5.0.
% 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 : n023.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 04:21:42 PM UTC 2026
% Result : Theorem 1.49s 1.78s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 45 ( 25 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 69 ( 19 ~; 16 |; 29 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 54 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110982,conjecture,
! [X1,X2,X3,X8,X19,X5,X20,X21] :
( ( eqangle(X8,X1,X1,X2,X8,X1,X1,X3)
& eqangle(X8,X2,X2,X3,X8,X2,X2,X1)
& eqangle(X8,X3,X3,X1,X8,X3,X3,X2)
& perp(X19,X3,X1,X8)
& coll(X19,X1,X8)
& perp(X1,X8,X1,X5)
& perp(X20,X3,X1,X5)
& coll(X20,X1,X5)
& perp(X21,X3,X2,X8)
& coll(X21,X2,X8) )
=> coll(X19,X21,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110982) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3,X8,X19,X5,X20,X21] :
( ( eqangle(X8,X1,X1,X2,X8,X1,X1,X3)
& eqangle(X8,X2,X2,X3,X8,X2,X2,X1)
& eqangle(X8,X3,X3,X1,X8,X3,X3,X2)
& perp(X19,X3,X1,X8)
& coll(X19,X1,X8)
& perp(X1,X8,X1,X5)
& perp(X20,X3,X1,X5)
& coll(X20,X1,X5)
& perp(X21,X3,X2,X8)
& coll(X21,X2,X8) )
=> coll(X19,X21,X20) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110982]) ).
fof(c_0_5,plain,
! [X552,X553,X554] :
( ~ coll(X552,X553,X554)
| coll(X552,X554,X553) ),
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,esk23_0,esk21_0,esk24_0)
& coll(esk25_0,esk21_0,esk24_0)
& perp(esk21_0,esk24_0,esk21_0,esk26_0)
& perp(esk27_0,esk23_0,esk21_0,esk26_0)
& coll(esk27_0,esk21_0,esk26_0)
& perp(esk28_0,esk23_0,esk22_0,esk24_0)
& coll(esk28_0,esk22_0,esk24_0)
& ~ coll(esk25_0,esk28_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X558,X559,X560,X561] :
( ~ coll(X558,X559,X560)
| ~ coll(X558,X559,X561)
| coll(X560,X561,X558) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_8,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
coll(esk27_0,esk21_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X555,X556,X557] :
( ~ coll(X555,X556,X557)
| coll(X556,X555,X557) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_11,negated_conjecture,
coll(esk25_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
coll(esk27_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
coll(esk25_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_8,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( coll(X1,esk21_0,esk27_0)
| ~ coll(esk27_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
coll(esk24_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
coll(esk28_0,esk22_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
coll(esk21_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_20,negated_conjecture,
coll(esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_21,negated_conjecture,
( coll(X1,esk21_0,esk24_0)
| ~ coll(esk24_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( coll(X1,esk24_0,esk28_0)
| ~ coll(esk28_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
coll(esk21_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_8,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( coll(X1,esk27_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
coll(esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_21,c_0_17]) ).
cnf(c_0_26,negated_conjecture,
coll(esk24_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
cnf(c_0_27,negated_conjecture,
( coll(X1,esk24_0,esk25_0)
| ~ coll(esk25_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_28,negated_conjecture,
coll(esk24_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
coll(esk24_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( coll(X1,esk28_0,esk24_0)
| ~ coll(esk24_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
coll(esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_32,negated_conjecture,
( coll(X1,esk25_0,esk24_0)
| ~ coll(esk24_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
coll(esk24_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_8,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
coll(esk25_0,esk28_0,esk24_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
coll(esk27_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
coll(esk25_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_8,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
coll(esk25_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_14,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( coll(X1,esk28_0,esk25_0)
| ~ coll(esk25_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
coll(esk25_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_8,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
coll(esk27_0,esk28_0,esk25_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_41,negated_conjecture,
coll(esk27_0,esk25_0,esk28_0),
inference(spm,[status(thm)],[c_0_8,c_0_40]) ).
cnf(c_0_42,negated_conjecture,
coll(esk25_0,esk27_0,esk28_0),
inference(spm,[status(thm)],[c_0_14,c_0_41]) ).
cnf(c_0_43,negated_conjecture,
~ coll(esk25_0,esk28_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_42]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO620+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.11 % 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
% 0.16/0.32 % Computer : n023.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Mon May 4 18:05:38 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 1.49/1.78 % Version : CSE_E---1.7
% 1.49/1.78 % Problem : theBenchmark.p
% 1.49/1.78 % SZS status Theorem for theBenchmark.p
% 1.49/1.78 % SZS output start CNFRefutation
% See solution above
% 1.49/1.78 % Total time : 1.373s
%------------------------------------------------------------------------------