%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO566+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 : n004.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 01:21:29 PM UTC 2026
% Result : Theorem 0.66s 11.32s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 62 ( 32 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 112 ( 32 ~; 26 |; 49 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 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 : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 88 ( 0 sgn 72 !; 16 ?; 22 :)
% 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] :
( ( coll(X7,X0,X2)
& perp(X7,X3,X0,X2)
& coll(X6,X0,X4)
& perp(X6,X3,X0,X4)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& perp(X0,X2,X1,X4)
& perp(X1,X2,X0,X4)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) )
=> coll(X7,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214028) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X0,X2)
& perp(X7,X3,X0,X2)
& coll(X6,X0,X4)
& perp(X6,X3,X0,X4)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& perp(X0,X2,X1,X4)
& perp(X1,X2,X0,X4)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) )
=> coll(X7,X6,X5) ),
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] :
( coll(X7,X0,X2)
& perp(X7,X3,X0,X2)
& coll(X6,X0,X4)
& perp(X6,X3,X0,X4)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& perp(X0,X2,X1,X4)
& perp(X1,X2,X0,X4)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& ~ coll(X7,X6,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X7,X0,X2)
& perp(X7,X3,X0,X2)
& coll(X6,X0,X4)
& perp(X6,X3,X0,X4)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& perp(X0,X2,X1,X4)
& perp(X1,X2,X0,X4)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& ~ coll(X7,X6,X5) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK27,sK20,sK22)
& perp(sK27,sK23,sK20,sK22)
& coll(sK26,sK20,sK24)
& perp(sK26,sK23,sK20,sK24)
& coll(sK25,sK21,sK22)
& perp(sK25,sK23,sK21,sK22)
& perp(sK20,sK22,sK21,sK24)
& perp(sK21,sK22,sK20,sK24)
& coll(sK23,sK20,sK21)
& perp(sK23,sK22,sK20,sK21)
& ~ coll(sK27,sK26,sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[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,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK26,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ coll(sK27,sK26,sK25),
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(sK27,sK26,sK25),
inference(cnf_transformation,[],[f394]) ).
tcf(c_168,negated_conjecture,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_170,negated_conjecture,
coll(sK26,sK20,sK24),
inference(cnf_transformation,[],[f386]) ).
tcf(c_172,negated_conjecture,
coll(sK27,sK20,sK22),
inference(cnf_transformation,[],[f384]) ).
tcf(c_189,plain,
coll(sK20,sK27,sK22),
inference(superposition,[status(thm)],[c_172,c_50]) ).
tcf(c_196,plain,
coll(sK26,sK24,sK20),
inference(superposition,[status(thm)],[c_170,c_49]) ).
tcf(c_197,plain,
coll(sK27,sK22,sK20),
inference(superposition,[status(thm)],[c_172,c_49]) ).
tcf(c_231,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_168,c_51]) ).
tcf(c_233,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK20,X0) ),
inference(superposition,[status(thm)],[c_172,c_51]) ).
tcf(c_246,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK27,X0) ),
inference(superposition,[status(thm)],[c_189,c_51]) ).
tcf(c_272,plain,
! [X0: $i] :
( coll(sK20,X0,sK27)
| ~ coll(sK27,sK22,X0) ),
inference(superposition,[status(thm)],[c_197,c_51]) ).
tcf(c_274,plain,
coll(sK22,sK27,sK20),
inference(superposition,[status(thm)],[c_197,c_50]) ).
tcf(c_276,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK24,X0) ),
inference(superposition,[status(thm)],[c_196,c_51]) ).
tcf(c_326,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_172,c_233]) ).
tcf(c_336,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_168,c_231]) ).
tcf(c_360,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_189,c_246]) ).
tcf(c_394,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK27,X0) ),
inference(superposition,[status(thm)],[c_274,c_51]) ).
tcf(c_411,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_196,c_276]) ).
tcf(c_469,plain,
! [X0: $i] :
( coll(sK27,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_326,c_51]) ).
tcf(c_497,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_360,c_51]) ).
tcf(c_556,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_274,c_394]) ).
tcf(c_570,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_411,c_51]) ).
tcf(c_571,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_411,c_49]) ).
tcf(c_655,plain,
coll(sK27,sK25,sK22),
inference(superposition,[status(thm)],[c_336,c_469]) ).
tcf(c_740,plain,
coll(sK20,sK25,sK22),
inference(superposition,[status(thm)],[c_336,c_497]) ).
tcf(c_861,plain,
coll(sK26,sK20,sK20),
inference(superposition,[status(thm)],[c_571,c_50]) ).
tcf(c_873,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_556,c_570]) ).
tcf(c_969,plain,
coll(sK27,sK22,sK25),
inference(superposition,[status(thm)],[c_655,c_49]) ).
tcf(c_1101,plain,
coll(sK20,sK22,sK25),
inference(superposition,[status(thm)],[c_740,c_49]) ).
tcf(c_1267,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_861,c_51]) ).
tcf(c_1278,plain,
coll(sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_873,c_49]) ).
tcf(c_1470,plain,
coll(sK20,sK25,sK27),
inference(superposition,[status(thm)],[c_969,c_272]) ).
tcf(c_1683,plain,
! [X0: $i] :
( coll(sK25,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_1101,c_51]) ).
tcf(c_1961,plain,
coll(sK20,sK22,sK26),
inference(superposition,[status(thm)],[c_1278,c_1267]) ).
tcf(c_2292,plain,
coll(sK25,sK20,sK27),
inference(superposition,[status(thm)],[c_1470,c_50]) ).
tcf(c_2949,plain,
coll(sK25,sK26,sK20),
inference(superposition,[status(thm)],[c_1961,c_1683]) ).
tcf(c_3560,plain,
! [X0: $i] :
( coll(sK27,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_2292,c_51]) ).
tcf(c_4644,plain,
coll(sK25,sK20,sK26),
inference(superposition,[status(thm)],[c_2949,c_49]) ).
tcf(c_6813,plain,
coll(sK27,sK26,sK25),
inference(superposition,[status(thm)],[c_4644,c_3560]) ).
tcf(c_6817,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_162,c_6813]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO566+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.59 % Computer : n004.cluster.edu
% 0.11/10.59 % Model : x86_64 x86_64
% 0.11/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.59 % Memory : 8046.5625MB
% 0.11/10.59 % OS : Linux 6.8.0-71-generic
% 0.11/10.59 % CPULimit : 300
% 0.11/10.59 % WCLimit : 300
% 0.11/10.59 % DateTime : Wed Sep 23 12:25:34 UTC 2026
% 0.11/10.59 % CPUTime :
% 0.11/10.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/10.63 Running first-order theorem proving
% 0.15/10.63 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
% 0.15/10.64
% 0.15/10.64 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.64
% 0.15/10.64 % Detected problem language: tptp
% 0.15/10.66 % Proving...
% 0.66/11.32 % SZS status Started for theBenchmark.p
% 0.66/11.32 % SZS status Theorem for theBenchmark.p
% 0.66/11.32
% 0.66/11.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.66/11.32
% 0.66/11.32 % ------ iProver source info
% 0.66/11.32
% 0.66/11.32 % git: date: 2026-07-19 20:42:38 +0200
% 0.66/11.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.66/11.32 % git: non_committed_changes: false
% 0.66/11.32
% 0.66/11.32 % ------ Parsing...
% 0.66/11.32 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.66/11.32 % ------ Proving...
% 0.66/11.32 % ------ Problem Properties
% 0.66/11.32
% 0.66/11.32 %
% 0.66/11.32 % clauses 124
% 0.66/11.32 % conjectures 11
% 0.66/11.32 % EPR 87
% 0.66/11.32 % Horn 113
% 0.66/11.32 % unary 11
% 0.66/11.32 % binary 37
% 0.66/11.32 % lits 342
% 0.66/11.32 % lits eq 4
% 0.66/11.32 % fd_pure 0
% 0.66/11.32 % fd_pseudo 0
% 0.66/11.32 % fd_cond 0
% 0.66/11.32 % fd_pseudo_cond 4
% 0.66/11.32 % AC symbols 0
% 0.66/11.32
% 0.66/11.32 % ------ Input Options Time Limit: Unbounded
% 0.66/11.32
% 0.66/11.32
% 0.66/11.32 % ------
% 0.66/11.32 % Current options:
% 0.66/11.32 % ------
% 0.66/11.32
% 0.66/11.32
% 0.66/11.32 %
% 0.66/11.32
% 0.66/11.32 % ------ Proving...
% 0.66/11.32 %
% 0.66/11.32
% 0.66/11.32 % SZS status Theorem for theBenchmark.p
% 0.66/11.32
% 0.66/11.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.66/11.32
% 0.66/11.32
%------------------------------------------------------------------------------