TSTP Solution File: GEO579+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO579+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 : Fri May 3 02:17:54 EDT 2024
% Result : Theorem 6.47s 1.61s
% Output : CNFRefutation 6.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 59 ( 23 unt; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 154 ( 43 ~; 34 |; 70 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% 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 : 97 ( 0 sgn 55 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',ruleD3) ).
fof(f95,conjecture,
! [X0,X1,X2,X18,X17,X19,X15] :
( ( coll(X15,X0,X18)
& perp(X15,X1,X0,X18)
& coll(X19,X1,X2)
& perp(X19,X18,X1,X2)
& coll(X17,X0,X2)
& perp(X17,X18,X0,X2)
& eqangle(X18,X2,X2,X0,X18,X2,X2,X1)
& eqangle(X18,X1,X1,X2,X18,X1,X1,X0)
& eqangle(X18,X0,X0,X1,X18,X0,X0,X2) )
=> coll(X15,X17,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416041) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X18,X17,X19,X15] :
( ( coll(X15,X0,X18)
& perp(X15,X1,X0,X18)
& coll(X19,X1,X2)
& perp(X19,X18,X1,X2)
& coll(X17,X0,X2)
& perp(X17,X18,X0,X2)
& eqangle(X18,X2,X2,X0,X18,X2,X2,X1)
& eqangle(X18,X1,X1,X2,X18,X1,X1,X0)
& eqangle(X18,X0,X0,X1,X18,X0,X0,X2) )
=> coll(X15,X17,X19) ),
inference(negated_conjecture,[],[f95]) ).
fof(f167,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(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X6,X4,X5)
& 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) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X6,X4,X5)
& 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) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X6,X4,X5)
& 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(sK26,sK24,sK25)
& 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) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ coll(sK26,sK24,sK25)
& 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) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f477,plain,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
coll(sK26,sK20,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
~ coll(sK26,sK24,sK25),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_162,negated_conjecture,
~ coll(sK26,sK24,sK25),
inference(cnf_transformation,[],[f482]) ).
cnf(c_163,negated_conjecture,
coll(sK26,sK20,sK23),
inference(cnf_transformation,[],[f481]) ).
cnf(c_165,negated_conjecture,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f479]) ).
cnf(c_167,negated_conjecture,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f477]) ).
cnf(c_4297,negated_conjecture,
coll(sK24,sK20,sK22),
inference(demodulation,[status(thm)],[c_167]) ).
cnf(c_4299,negated_conjecture,
coll(sK25,sK21,sK22),
inference(demodulation,[status(thm)],[c_165]) ).
cnf(c_4301,negated_conjecture,
coll(sK26,sK20,sK23),
inference(demodulation,[status(thm)],[c_163]) ).
cnf(c_5836,plain,
coll(sK26,sK23,sK20),
inference(superposition,[status(thm)],[c_4301,c_49]) ).
cnf(c_5838,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_4297,c_49]) ).
cnf(c_5845,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_4297,c_50]) ).
cnf(c_5993,plain,
( ~ coll(sK25,sK21,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_4299,c_51]) ).
cnf(c_5994,plain,
( ~ coll(sK24,sK20,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_4297,c_51]) ).
cnf(c_5995,plain,
( ~ coll(sK26,sK23,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_5836,c_51]) ).
cnf(c_6000,plain,
( ~ coll(sK20,sK24,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_5845,c_51]) ).
cnf(c_6058,plain,
( ~ coll(sK26,sK23,sK20)
| coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_5995]) ).
cnf(c_6089,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_4299,c_5993]) ).
cnf(c_6090,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_6089,c_51]) ).
cnf(c_6100,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_4297,c_5994]) ).
cnf(c_6214,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_5845,c_6000]) ).
cnf(c_6291,plain,
coll(sK25,sK20,sK22),
inference(superposition,[status(thm)],[c_6214,c_6090]) ).
cnf(c_6292,plain,
coll(sK25,sK24,sK22),
inference(superposition,[status(thm)],[c_6100,c_6090]) ).
cnf(c_6306,plain,
coll(sK24,sK25,sK22),
inference(superposition,[status(thm)],[c_6292,c_50]) ).
cnf(c_6327,plain,
( ~ coll(sK25,X0,sK26)
| ~ coll(sK25,X0,sK24)
| coll(sK26,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_6328,plain,
( ~ coll(sK25,sK20,sK26)
| ~ coll(sK25,sK20,sK24)
| coll(sK26,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_6327]) ).
cnf(c_6422,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_6291,c_49]) ).
cnf(c_6441,plain,
coll(sK24,sK22,sK25),
inference(superposition,[status(thm)],[c_6306,c_49]) ).
cnf(c_7359,plain,
( ~ coll(sK25,sK22,X0)
| coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_6422,c_51]) ).
cnf(c_7365,plain,
( ~ coll(sK25,sK22,sK20)
| coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_7359]) ).
cnf(c_7379,plain,
( ~ coll(sK24,sK22,X0)
| coll(sK25,X0,sK24) ),
inference(superposition,[status(thm)],[c_6441,c_51]) ).
cnf(c_7385,plain,
( ~ coll(sK24,sK22,sK20)
| coll(sK25,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_7379]) ).
cnf(c_7469,plain,
( ~ coll(sK25,sK26,X0)
| coll(sK25,X0,sK26) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_7470,plain,
( ~ coll(sK25,sK26,sK20)
| coll(sK25,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_7469]) ).
cnf(c_10599,plain,
( ~ coll(X0,X1,sK26)
| ~ coll(X0,X1,sK25)
| coll(sK25,sK26,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_10600,plain,
( ~ coll(sK20,sK20,sK26)
| ~ coll(sK20,sK20,sK25)
| coll(sK25,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_10599]) ).
cnf(c_10601,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10600,c_7470,c_7385,c_7365,c_6422,c_6328,c_6058,c_5836,c_5838,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO579+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 01:36:58 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.47/1.61 % SZS status Started for theBenchmark.p
% 6.47/1.61 % SZS status Theorem for theBenchmark.p
% 6.47/1.61
% 6.47/1.61 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 6.47/1.61
% 6.47/1.61 ------ iProver source info
% 6.47/1.61
% 6.47/1.61 git: date: 2024-05-02 19:28:25 +0000
% 6.47/1.61 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 6.47/1.61 git: non_committed_changes: false
% 6.47/1.61
% 6.47/1.61 ------ Parsing...
% 6.47/1.61 ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.47/1.61
% 6.47/1.61 ------ 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
% 6.47/1.61
% 6.47/1.61 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.47/1.61
% 6.47/1.61 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.47/1.61 ------ Proving...
% 6.47/1.61 ------ Problem Properties
% 6.47/1.61
% 6.47/1.61
% 6.47/1.61 clauses 122
% 6.47/1.61 conjectures 10
% 6.47/1.61 EPR 85
% 6.47/1.61 Horn 112
% 6.47/1.61 unary 10
% 6.47/1.61 binary 37
% 6.47/1.61 lits 338
% 6.47/1.61 lits eq 4
% 6.47/1.61 fd_pure 0
% 6.47/1.61 fd_pseudo 0
% 6.47/1.61 fd_cond 0
% 6.47/1.61 fd_pseudo_cond 4
% 6.47/1.61 AC symbols 0
% 6.47/1.61
% 6.47/1.61 ------ Schedule dynamic 5 is on
% 6.47/1.61
% 6.47/1.61 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.47/1.61
% 6.47/1.61
% 6.47/1.61 ------
% 6.47/1.61 Current options:
% 6.47/1.61 ------
% 6.47/1.61
% 6.47/1.61
% 6.47/1.61
% 6.47/1.61
% 6.47/1.61 ------ Proving...
% 6.47/1.61
% 6.47/1.61
% 6.47/1.61 % SZS status Theorem for theBenchmark.p
% 6.47/1.61
% 6.47/1.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.47/1.61
% 6.47/1.61
%------------------------------------------------------------------------------