%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO620+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 : n018.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 01:21:40 PM UTC 2026
% Result : Theorem 7.58s 1.65s
% Output : CNFRefutation 7.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 59 ( 27 unt; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 120 ( 36 ~; 30 |; 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 : 4 ( 3 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 86 ( 0 sgn 70 !; 16 ?; 20 :)
% 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,X1,X3)
& perp(X7,X2,X1,X3)
& coll(X6,X0,X5)
& perp(X6,X2,X0,X5)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X3)
& perp(X4,X2,X0,X3)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> coll(X4,X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110982) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X1,X3)
& perp(X7,X2,X1,X3)
& coll(X6,X0,X5)
& perp(X6,X2,X0,X5)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X3)
& perp(X4,X2,X0,X3)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> coll(X4,X7,X6) ),
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,X1,X3)
& perp(X7,X2,X1,X3)
& coll(X6,X0,X5)
& perp(X6,X2,X0,X5)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X3)
& perp(X4,X2,X0,X3)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& ~ coll(X4,X7,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X7,X1,X3)
& perp(X7,X2,X1,X3)
& coll(X6,X0,X5)
& perp(X6,X2,X0,X5)
& perp(X0,X3,X0,X5)
& coll(X4,X0,X3)
& perp(X4,X2,X0,X3)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& ~ coll(X4,X7,X6) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK27,sK21,sK23)
& perp(sK27,sK22,sK21,sK23)
& coll(sK26,sK20,sK25)
& perp(sK26,sK22,sK20,sK25)
& perp(sK20,sK23,sK20,sK25)
& coll(sK24,sK20,sK23)
& perp(sK24,sK22,sK20,sK23)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22)
& ~ coll(sK24,sK27,sK26) ),
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,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK26,sK20,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
coll(sK24,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ coll(sK24,sK27,sK26),
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(sK24,sK27,sK26),
inference(cnf_transformation,[],[f394]) ).
tcf(c_167,negated_conjecture,
coll(sK24,sK20,sK23),
inference(cnf_transformation,[],[f389]) ).
tcf(c_170,negated_conjecture,
coll(sK26,sK20,sK25),
inference(cnf_transformation,[],[f386]) ).
tcf(c_172,negated_conjecture,
coll(sK27,sK21,sK23),
inference(cnf_transformation,[],[f384]) ).
tcf(c_4298,negated_conjecture,
coll(sK27,sK21,sK23),
inference(demodulation,[status(thm)],[c_172]) ).
tcf(c_4300,negated_conjecture,
coll(sK26,sK20,sK25),
inference(demodulation,[status(thm)],[c_170]) ).
tcf(c_4303,negated_conjecture,
coll(sK24,sK20,sK23),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_5846,plain,
coll(sK24,sK23,sK20),
inference(superposition,[status(thm)],[c_4303,c_49]) ).
tcf(c_5847,plain,
coll(sK26,sK25,sK20),
inference(superposition,[status(thm)],[c_4300,c_49]) ).
tcf(c_5853,plain,
coll(sK20,sK24,sK23),
inference(superposition,[status(thm)],[c_4303,c_50]) ).
tcf(c_6002,plain,
! [X0: $i] :
( coll(sK23,X0,sK24)
| ~ coll(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_4303,c_51]) ).
tcf(c_6004,plain,
! [X0: $i] :
( coll(sK23,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_4298,c_51]) ).
tcf(c_6005,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK23,X0) ),
inference(superposition,[status(thm)],[c_5846,c_51]) ).
tcf(c_6006,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK25,X0) ),
inference(superposition,[status(thm)],[c_5847,c_51]) ).
tcf(c_6008,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_5853,c_51]) ).
tcf(c_6086,plain,
coll(sK23,sK23,sK24),
inference(superposition,[status(thm)],[c_4303,c_6002]) ).
tcf(c_6087,plain,
! [X0: $i] :
( coll(sK24,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_6086,c_51]) ).
tcf(c_6106,plain,
coll(sK23,sK23,sK27),
inference(superposition,[status(thm)],[c_4298,c_6004]) ).
tcf(c_6107,plain,
! [X0: $i] :
( coll(sK27,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_6106,c_51]) ).
tcf(c_6129,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_5846,c_6005]) ).
tcf(c_6163,plain,
! [X0: $i] :
( coll(sK24,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6129,c_51]) ).
tcf(c_6173,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_5847,c_6006]) ).
tcf(c_6196,plain,
coll(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_5853,c_6008]) ).
tcf(c_6275,plain,
( coll(sK24,sK27,sK26)
| ~ coll(sK27,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6282,plain,
coll(sK24,sK27,sK23),
inference(superposition,[status(thm)],[c_6106,c_6087]) ).
tcf(c_6292,plain,
coll(sK27,sK24,sK23),
inference(superposition,[status(thm)],[c_6282,c_50]) ).
tcf(c_6320,plain,
coll(sK27,sK20,sK23),
inference(superposition,[status(thm)],[c_6196,c_6107]) ).
tcf(c_6434,plain,
coll(sK27,sK23,sK24),
inference(superposition,[status(thm)],[c_6292,c_49]) ).
tcf(c_6635,plain,
coll(sK27,sK23,sK20),
inference(superposition,[status(thm)],[c_6320,c_49]) ).
tcf(c_6969,plain,
( coll(sK27,sK24,sK26)
| ~ coll(sK27,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_7388,plain,
! [X0: $i] :
( coll(sK24,X0,sK27)
| ~ coll(sK27,sK23,X0) ),
inference(superposition,[status(thm)],[c_6434,c_51]) ).
tcf(c_7394,plain,
( coll(sK24,sK20,sK27)
| ~ coll(sK27,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_7388]) ).
tcf(c_9633,plain,
! [X0: $i] :
( coll(sK27,sK26,sK24)
| ~ coll(sK24,X0,sK26)
| ~ coll(sK24,X0,sK27) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_9634,plain,
( coll(sK27,sK26,sK24)
| ~ coll(sK24,sK20,sK26)
| ~ coll(sK24,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_9633]) ).
tcf(c_10715,plain,
coll(sK24,sK26,sK20),
inference(superposition,[status(thm)],[c_6173,c_6163]) ).
tcf(c_13022,plain,
coll(sK24,sK20,sK26),
inference(superposition,[status(thm)],[c_10715,c_49]) ).
tcf(c_13025,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_13022,c_9634,c_7394,c_6969,c_6635,c_6275,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO620+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n018.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 12:37:04 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 7.58/1.65 % SZS status Started for theBenchmark.p
% 7.58/1.65 % SZS status Theorem for theBenchmark.p
% 7.58/1.65
% 7.58/1.65 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.58/1.65
% 7.58/1.65 % ------ iProver source info
% 7.58/1.65
% 7.58/1.65 % git: date: 2026-07-19 20:42:38 +0200
% 7.58/1.65 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.58/1.65 % git: non_committed_changes: false
% 7.58/1.65
% 7.58/1.65 % ------ Parsing...
% 7.58/1.65 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.58/1.65
% 7.58/1.65 % ------ 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 %
% 7.58/1.65
% 7.58/1.65 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.58/1.65
% 7.58/1.65 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.58/1.65 % ------ Proving...
% 7.58/1.65 % ------ Problem Properties
% 7.58/1.65
% 7.58/1.65 %
% 7.58/1.65 % clauses 123
% 7.58/1.65 % conjectures 11
% 7.58/1.65 % EPR 86
% 7.58/1.65 % Horn 113
% 7.58/1.65 % unary 11
% 7.58/1.65 % binary 37
% 7.58/1.65 % lits 339
% 7.58/1.65 % lits eq 4
% 7.58/1.65 % fd_pure 0
% 7.58/1.65 % fd_pseudo 0
% 7.58/1.65 % fd_cond 0
% 7.58/1.65 % fd_pseudo_cond 4
% 7.58/1.65 % AC symbols 0
% 7.58/1.65
% 7.58/1.65 % ------ Schedule dynamic 5 is on
% 7.58/1.65
% 7.58/1.65 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.58/1.65
% 7.58/1.65
% 7.58/1.65 % ------
% 7.58/1.65 % Current options:
% 7.58/1.65 % ------
% 7.58/1.65
% 7.58/1.65
% 7.58/1.65 %
% 7.58/1.65
% 7.58/1.65 % ------ Proving...
% 7.58/1.65 %
% 7.58/1.65
% 7.58/1.65 % SZS status Theorem for theBenchmark.p
% 7.58/1.65
% 7.58/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.58/1.65
% 7.58/1.65
%------------------------------------------------------------------------------