%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO579+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 01:21:32 PM UTC 2026
% Result : Theorem 1.76s 1.09s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 57 ( 22 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 125 ( 41 ~; 35 |; 44 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 84 ( 0 sgn 70 !; 14 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X6,X0,X3)
& perp(X6,X1,X0,X3)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& 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(X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416041) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X6,X0,X3)
& perp(X6,X1,X0,X3)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& 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(X6,X4,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] :
( coll(X6,X0,X3)
& perp(X6,X1,X0,X3)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& 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(X6,X4,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( coll(X6,X0,X3)
& perp(X6,X1,X0,X3)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& 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(X6,X4,X5) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK26,sK20,sK23)
& perp(sK26,sK21,sK20,sK23)
& coll(sK25,sK21,sK22)
& perp(sK25,sK23,sK21,sK22)
& coll(sK24,sK20,sK22)
& perp(sK24,sK23,sK20,sK22)
& 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(sK26,sK24,sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[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(sK26,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ coll(sK26,sK24,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(sK26,sK24,sK25),
inference(cnf_transformation,[],[f393]) ).
tcf(c_167,negated_conjecture,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_169,negated_conjecture,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f386]) ).
tcf(c_171,negated_conjecture,
coll(sK26,sK20,sK23),
inference(cnf_transformation,[],[f384]) ).
tcf(c_4293,negated_conjecture,
coll(sK26,sK20,sK23),
inference(demodulation,[status(thm)],[c_171]) ).
tcf(c_4295,negated_conjecture,
coll(sK25,sK21,sK22),
inference(demodulation,[status(thm)],[c_169]) ).
tcf(c_4297,negated_conjecture,
coll(sK24,sK20,sK22),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_5836,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_4297,c_49]) ).
tcf(c_5838,plain,
coll(sK26,sK23,sK20),
inference(superposition,[status(thm)],[c_4293,c_49]) ).
tcf(c_5843,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_4297,c_50]) ).
tcf(c_5992,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_4297,c_51]) ).
tcf(c_5993,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_4295,c_51]) ).
tcf(c_5997,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK23,X0) ),
inference(superposition,[status(thm)],[c_5838,c_51]) ).
tcf(c_5998,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_5843,c_51]) ).
tcf(c_6056,plain,
( coll(sK20,sK20,sK26)
| ~ coll(sK26,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_5997]) ).
tcf(c_6068,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_4297,c_5992]) ).
tcf(c_6069,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6068,c_51]) ).
tcf(c_6089,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_4295,c_5993]) ).
tcf(c_6090,plain,
! [X0: $i] :
( coll(sK25,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6089,c_51]) ).
tcf(c_6191,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_5843,c_5998]) ).
tcf(c_6280,plain,
coll(sK24,sK25,sK22),
inference(superposition,[status(thm)],[c_6089,c_6069]) ).
tcf(c_6292,plain,
coll(sK24,sK22,sK25),
inference(superposition,[status(thm)],[c_6280,c_49]) ).
tcf(c_6303,plain,
coll(sK25,sK20,sK22),
inference(superposition,[status(thm)],[c_6191,c_6090]) ).
tcf(c_6326,plain,
! [X0: $i] :
( coll(sK26,sK24,sK25)
| ~ coll(sK25,X0,sK24)
| ~ coll(sK25,X0,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6327,plain,
( coll(sK26,sK24,sK25)
| ~ coll(sK25,sK20,sK24)
| ~ coll(sK25,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_6326]) ).
tcf(c_6436,plain,
! [X0: $i] :
( coll(sK25,X0,sK24)
| ~ coll(sK24,sK22,X0) ),
inference(superposition,[status(thm)],[c_6292,c_51]) ).
tcf(c_6442,plain,
( coll(sK25,sK20,sK24)
| ~ coll(sK24,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6436]) ).
tcf(c_6445,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_6303,c_49]) ).
tcf(c_7468,plain,
! [X0: $i] :
( coll(sK25,X0,sK26)
| ~ coll(sK25,sK26,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_7469,plain,
( coll(sK25,sK20,sK26)
| ~ coll(sK25,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_7468]) ).
tcf(c_7507,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK22,X0) ),
inference(superposition,[status(thm)],[c_6445,c_51]) ).
tcf(c_7513,plain,
( coll(sK20,sK20,sK25)
| ~ coll(sK25,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_7507]) ).
tcf(c_10590,plain,
! [X0: $i,X1: $i] :
( coll(sK25,sK26,X0)
| ~ coll(X0,X1,sK25)
| ~ coll(X0,X1,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_10591,plain,
( coll(sK25,sK26,sK20)
| ~ coll(sK20,sK20,sK25)
| ~ coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_10590]) ).
tcf(c_10592,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10591,c_7513,c_7469,c_6445,c_6442,c_6327,c_6056,c_5836,c_5838,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO579+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 12:27:41 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.76/1.09 % SZS status Started for theBenchmark.p
% 1.76/1.09 % SZS status Theorem for theBenchmark.p
% 1.76/1.09
% 1.76/1.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.76/1.09
% 1.76/1.09 % ------ iProver source info
% 1.76/1.09
% 1.76/1.09 % git: date: 2026-07-19 20:42:38 +0200
% 1.76/1.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.76/1.09 % git: non_committed_changes: false
% 1.76/1.09
% 1.76/1.09 % ------ Parsing...
% 1.76/1.09 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.76/1.09
% 1.76/1.09 % ------ 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 %
% 1.76/1.09
% 1.76/1.09 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.76/1.09
% 1.76/1.09 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.76/1.09 % ------ Proving...
% 1.76/1.09 % ------ Problem Properties
% 1.76/1.09
% 1.76/1.09 %
% 1.76/1.09 % clauses 122
% 1.76/1.09 % conjectures 10
% 1.76/1.09 % EPR 85
% 1.76/1.09 % Horn 112
% 1.76/1.09 % unary 10
% 1.76/1.09 % binary 37
% 1.76/1.09 % lits 338
% 1.76/1.09 % lits eq 4
% 1.76/1.09 % fd_pure 0
% 1.76/1.09 % fd_pseudo 0
% 1.76/1.09 % fd_cond 0
% 1.76/1.09 % fd_pseudo_cond 4
% 1.76/1.09 % AC symbols 0
% 1.76/1.09
% 1.76/1.09 % ------ Schedule dynamic 5 is on
% 1.76/1.09
% 1.76/1.09 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.76/1.09
% 1.76/1.09
% 1.76/1.09 % ------
% 1.76/1.09 % Current options:
% 1.76/1.09 % ------
% 1.76/1.09
% 1.76/1.09
% 1.76/1.09 %
% 1.76/1.09
% 1.76/1.09 % ------ Proving...
% 1.76/1.09 %
% 1.76/1.09
% 1.76/1.09 % SZS status Theorem for theBenchmark.p
% 1.76/1.09
% 1.76/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.76/1.09
% 1.76/1.09
%------------------------------------------------------------------------------