%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO547+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:26 PM UTC 2026
% Result : Theorem 0.44s 16.75s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 56 ( 24 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 110 ( 36 ~; 30 |; 39 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 89 ( 0 sgn 71 !; 18 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X7,X0,X1)
& perp(X7,X4,X0,X1)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X4,X1,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2) )
=> coll(X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012007) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X7,X0,X1)
& perp(X7,X4,X0,X1)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X4,X1,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2) )
=> coll(X5,X6,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( coll(X7,X0,X1)
& perp(X7,X4,X0,X1)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X4,X1,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2)
& ~ coll(X5,X6,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( coll(X7,X0,X1)
& perp(X7,X4,X0,X1)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X4,X1,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2)
& ~ coll(X5,X6,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK27,sK20,sK21)
& perp(sK27,sK24,sK20,sK21)
& coll(sK26,sK20,sK22)
& perp(sK26,sK24,sK20,sK22)
& coll(sK25,sK21,sK22)
& perp(sK25,sK24,sK21,sK22)
& circle(sK23,sK20,sK24,sK28)
& circle(sK23,sK20,sK21,sK22)
& ~ coll(sK25,sK26,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f384,plain,
coll(sK27,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ coll(sK25,sK26,sK27),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_162,negated_conjecture,
~ coll(sK25,sK26,sK27),
inference(cnf_transformation,[],[f392]) ).
tcf(c_166,negated_conjecture,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_168,negated_conjecture,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f386]) ).
tcf(c_170,negated_conjecture,
coll(sK27,sK20,sK21),
inference(cnf_transformation,[],[f384]) ).
tcf(c_4832,negated_conjecture,
coll(sK27,sK20,sK21),
inference(demodulation,[status(thm)],[c_170]) ).
tcf(c_4834,negated_conjecture,
coll(sK26,sK20,sK22),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_4836,negated_conjecture,
coll(sK25,sK21,sK22),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_6358,plain,
coll(sK25,sK22,sK21),
inference(superposition,[status(thm)],[c_4836,c_49]) ).
tcf(c_6359,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_4834,c_49]) ).
tcf(c_6360,plain,
coll(sK27,sK21,sK20),
inference(superposition,[status(thm)],[c_4832,c_49]) ).
tcf(c_6503,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_4836,c_51]) ).
tcf(c_6504,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_4834,c_51]) ).
tcf(c_6505,plain,
! [X0: $i] :
( coll(sK21,X0,sK27)
| ~ coll(sK27,sK20,X0) ),
inference(superposition,[status(thm)],[c_4832,c_51]) ).
tcf(c_6506,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK22,X0) ),
inference(superposition,[status(thm)],[c_6358,c_51]) ).
tcf(c_6594,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_4836,c_6503]) ).
tcf(c_6595,plain,
! [X0: $i] :
( coll(sK25,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6594,c_51]) ).
tcf(c_6617,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_4834,c_6504]) ).
tcf(c_6627,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_4832,c_6505]) ).
tcf(c_6628,plain,
! [X0: $i] :
( coll(sK27,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6627,c_51]) ).
tcf(c_6649,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_6358,c_6506]) ).
tcf(c_6810,plain,
coll(sK25,sK26,sK22),
inference(superposition,[status(thm)],[c_6617,c_6595]) ).
tcf(c_6812,plain,
( coll(sK25,sK26,sK27)
| ~ coll(sK26,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6825,plain,
coll(sK26,sK25,sK22),
inference(superposition,[status(thm)],[c_6810,c_50]) ).
tcf(c_6852,plain,
coll(sK27,sK25,sK21),
inference(superposition,[status(thm)],[c_6649,c_6628]) ).
tcf(c_6973,plain,
coll(sK26,sK22,sK25),
inference(superposition,[status(thm)],[c_6825,c_49]) ).
tcf(c_7170,plain,
coll(sK27,sK21,sK25),
inference(superposition,[status(thm)],[c_6852,c_49]) ).
tcf(c_7418,plain,
( coll(sK26,sK25,sK27)
| ~ coll(sK26,sK27,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_7917,plain,
! [X0: $i] :
( coll(sK25,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_6973,c_51]) ).
tcf(c_7923,plain,
( coll(sK25,sK20,sK26)
| ~ coll(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_7917]) ).
tcf(c_8914,plain,
! [X0: $i] :
( coll(sK25,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_7170,c_51]) ).
tcf(c_8920,plain,
( coll(sK25,sK20,sK27)
| ~ coll(sK27,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_8914]) ).
tcf(c_9798,plain,
! [X0: $i] :
( coll(sK26,sK27,sK25)
| ~ coll(sK25,X0,sK27)
| ~ coll(sK25,X0,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_9799,plain,
( coll(sK26,sK27,sK25)
| ~ coll(sK25,sK20,sK27)
| ~ coll(sK25,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_9798]) ).
tcf(c_9800,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9799,c_8920,c_7923,c_7418,c_6812,c_6359,c_6360,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO547+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/15.93 % Computer : n019.cluster.edu
% 0.10/15.93 % Model : x86_64 x86_64
% 0.10/15.93 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.93 % Memory : 8046.5625MB
% 0.10/15.93 % OS : Linux 6.8.0-71-generic
% 0.10/15.93 % CPULimit : 300
% 0.10/15.93 % WCLimit : 300
% 0.10/15.93 % DateTime : Wed Sep 23 12:22:39 UTC 2026
% 0.10/15.93 % CPUTime :
% 0.10/15.93 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/15.97 Running first-order theorem proving
% 0.10/15.97 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/15.98
% 0.10/15.98 % ======== iProver multi-core TPTP/SMT =========
% 0.10/15.98
% 0.10/15.98 % Detected problem language: tptp
% 0.10/15.99 % Proving...
% 0.44/16.75 % SZS status Started for theBenchmark.p
% 0.44/16.75 % SZS status Theorem for theBenchmark.p
% 0.44/16.75
% 0.44/16.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.44/16.75
% 0.44/16.75 % ------ iProver source info
% 0.44/16.75
% 0.44/16.75 % git: date: 2026-07-19 20:42:38 +0200
% 0.44/16.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.44/16.75 % git: non_committed_changes: false
% 0.44/16.75
% 0.44/16.75 % ------ Parsing...
% 0.44/16.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.44/16.75
% 0.44/16.75 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.44/16.75
% 0.44/16.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.44/16.75
% 0.44/16.75 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.44/16.75 % ------ Proving...
% 0.44/16.75 % ------ Problem Properties
% 0.44/16.75
% 0.44/16.75 %
% 0.44/16.75 % clauses 121
% 0.44/16.75 % conjectures 9
% 0.44/16.75 % EPR 84
% 0.44/16.75 % Horn 111
% 0.44/16.75 % unary 9
% 0.44/16.75 % binary 37
% 0.44/16.75 % lits 337
% 0.44/16.75 % lits eq 4
% 0.44/16.75 % fd_pure 0
% 0.44/16.75 % fd_pseudo 0
% 0.44/16.75 % fd_cond 0
% 0.44/16.75 % fd_pseudo_cond 4
% 0.44/16.75 % AC symbols 0
% 0.44/16.75
% 0.44/16.75 % ------ Schedule dynamic 5 is on
% 0.44/16.75
% 0.44/16.75 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.44/16.75
% 0.44/16.75
% 0.44/16.75 % ------
% 0.44/16.75 % Current options:
% 0.44/16.75 % ------
% 0.44/16.75
% 0.44/16.75
% 0.44/16.75 %
% 0.44/16.75
% 0.44/16.75 % ------ Proving...
% 0.44/16.75 %
% 0.44/16.75
% 0.44/16.75 % SZS status Theorem for theBenchmark.p
% 0.44/16.75
% 0.44/16.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/16.76
% 0.44/16.76
%------------------------------------------------------------------------------