TSTP Solution File: SWW246+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW246+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 Sep 1 00:38:36 EDT 2023
% Result : Theorem 17.60s 3.20s
% Output : CNFRefutation 17.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 59 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 27 ~; 17 |; 0 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 54 ( 8 sgn; 37 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X5,X8] :
( class_Rings_Ocomm__semiring__0(X8)
=> c_Groups_Ozero__class_Ozero(X8) = hAPP(c_Polynomial_Opoly(X8,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8))),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__0) ).
fof(f22,axiom,
! [X1,X14,X4] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X4,X14,X1)
<=> ! [X2,X15] : hAPP(X1,X2) = hAPP(X1,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_constant__def) ).
fof(f67,axiom,
( class_Rings_Oidom(t_a)
=> ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__C0_C) ).
fof(f1007,axiom,
! [X94] :
( class_Rings_Oidom(X94)
=> class_Rings_Ocomm__semiring__0(X94) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clrel_Rings_Oidom__Rings_Ocomm__semiring__0) ).
fof(f1200,axiom,
class_Rings_Oidom(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0) ).
fof(f1204,plain,
! [X0,X1] :
( class_Rings_Ocomm__semiring__0(X1)
=> c_Groups_Ozero__class_Ozero(X1) = hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) ),
inference(rectify,[],[f6]) ).
fof(f1220,plain,
! [X0,X1,X2] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X1,X0)
<=> ! [X3,X4] : hAPP(X0,X3) = hAPP(X0,X4) ),
inference(rectify,[],[f22]) ).
fof(f2195,plain,
! [X0] :
( class_Rings_Oidom(X0)
=> class_Rings_Ocomm__semiring__0(X0) ),
inference(rectify,[],[f1007]) ).
fof(f2290,plain,
! [X0,X1,X2] :
( ! [X3,X4] : hAPP(X0,X3) = hAPP(X0,X4)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X1,X0) ),
inference(unused_predicate_definition_removal,[],[f1220]) ).
fof(f2493,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(X1) = hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(ennf_transformation,[],[f1204]) ).
fof(f2510,plain,
! [X0,X1,X2] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X1,X0)
| ? [X3,X4] : hAPP(X0,X3) != hAPP(X0,X4) ),
inference(ennf_transformation,[],[f2290]) ).
fof(f2559,plain,
( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))
| ~ class_Rings_Oidom(t_a) ),
inference(ennf_transformation,[],[f67]) ).
fof(f3295,plain,
! [X0] :
( class_Rings_Ocomm__semiring__0(X0)
| ~ class_Rings_Oidom(X0) ),
inference(ennf_transformation,[],[f2195]) ).
fof(f3385,plain,
! [X0] :
( ? [X3,X4] : hAPP(X0,X3) != hAPP(X0,X4)
=> hAPP(X0,sK2(X0)) != hAPP(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f3386,plain,
! [X0,X1,X2] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X1,X0)
| hAPP(X0,sK2(X0)) != hAPP(X0,sK3(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f2510,f3385]) ).
fof(f3649,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(X1) = hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(cnf_transformation,[],[f2493]) ).
fof(f3669,plain,
! [X2,X0,X1] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X1,X0)
| hAPP(X0,sK2(X0)) != hAPP(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f3386]) ).
fof(f3723,plain,
( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))
| ~ class_Rings_Oidom(t_a) ),
inference(cnf_transformation,[],[f2559]) ).
fof(f4745,plain,
! [X0] :
( class_Rings_Ocomm__semiring__0(X0)
| ~ class_Rings_Oidom(X0) ),
inference(cnf_transformation,[],[f3295]) ).
fof(f4935,plain,
class_Rings_Oidom(t_a),
inference(cnf_transformation,[],[f1200]) ).
cnf(c_56,plain,
( ~ class_Rings_Ocomm__semiring__0(X0)
| hAPP(c_Polynomial_Opoly(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X1) = c_Groups_Ozero__class_Ozero(X0) ),
inference(cnf_transformation,[],[f3649]) ).
cnf(c_76,plain,
( hAPP(X0,sK2(X0)) != hAPP(X0,sK3(X0))
| c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X1,X2,X0) ),
inference(cnf_transformation,[],[f3669]) ).
cnf(c_125,plain,
( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))
| ~ class_Rings_Oidom(t_a) ),
inference(cnf_transformation,[],[f3723]) ).
cnf(c_1090,plain,
( ~ class_Rings_Oidom(X0)
| class_Rings_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f4745]) ).
cnf(c_1280,plain,
class_Rings_Oidom(t_a),
inference(cnf_transformation,[],[f4935]) ).
cnf(c_1995,plain,
~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),
inference(global_subsumption_just,[status(thm)],[c_125,c_1280,c_125]) ).
cnf(c_2377,plain,
( hAPP(X0,sK2(X0)) != hAPP(X0,sK3(X0))
| c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X1,X2,X0) ),
inference(prop_impl_just,[status(thm)],[c_76]) ).
cnf(c_13738,plain,
( c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) != X0
| hAPP(X0,sK2(X0)) != hAPP(X0,sK3(X0))
| X1 != t_a
| X2 != t_a ),
inference(resolution_lifted,[status(thm)],[c_2377,c_1995]) ).
cnf(c_13739,plain,
hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),sK2(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))) != hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),sK3(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),
inference(unflattening,[status(thm)],[c_13738]) ).
cnf(c_73271,plain,
class_Rings_Ocomm__semiring__0(t_a),
inference(superposition,[status(thm)],[c_1280,c_1090]) ).
cnf(c_79311,plain,
hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X0) = c_Groups_Ozero__class_Ozero(t_a),
inference(superposition,[status(thm)],[c_73271,c_56]) ).
cnf(c_79316,plain,
hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),sK3(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))) != c_Groups_Ozero__class_Ozero(t_a),
inference(demodulation,[status(thm)],[c_13739,c_79311]) ).
cnf(c_79317,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_79316,c_79311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWW246+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 22:01:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.60/3.20 % SZS status Started for theBenchmark.p
% 17.60/3.20 % SZS status Theorem for theBenchmark.p
% 17.60/3.20
% 17.60/3.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 17.60/3.20
% 17.60/3.20 ------ iProver source info
% 17.60/3.20
% 17.60/3.20 git: date: 2023-05-31 18:12:56 +0000
% 17.60/3.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 17.60/3.20 git: non_committed_changes: false
% 17.60/3.20 git: last_make_outside_of_git: false
% 17.60/3.20
% 17.60/3.20 ------ Parsing...
% 17.60/3.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.60/3.20
% 17.60/3.20 ------ Preprocessing... sup_sim: 65 sf_s rm: 12 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 25 sf_s rm: 11 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 11 0s sf_e pe_s pe_e
% 17.60/3.20
% 17.60/3.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.60/3.20
% 17.60/3.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.60/3.20 ------ Proving...
% 17.60/3.20 ------ Problem Properties
% 17.60/3.20
% 17.60/3.20
% 17.60/3.20 clauses 1004
% 17.60/3.20 conjectures 0
% 17.60/3.20 EPR 126
% 17.60/3.20 Horn 889
% 17.60/3.20 unary 247
% 17.60/3.20 binary 445
% 17.60/3.20 lits 2178
% 17.60/3.20 lits eq 747
% 17.60/3.20 fd_pure 0
% 17.60/3.20 fd_pseudo 0
% 17.60/3.20 fd_cond 63
% 17.60/3.20 fd_pseudo_cond 81
% 17.60/3.20 AC symbols 0
% 17.60/3.20
% 17.60/3.20 ------ Schedule dynamic 5 is on
% 17.60/3.20
% 17.60/3.20 ------ no conjectures: strip conj schedule
% 17.60/3.20
% 17.60/3.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 17.60/3.20
% 17.60/3.20
% 17.60/3.20 ------
% 17.60/3.20 Current options:
% 17.60/3.20 ------
% 17.60/3.20
% 17.60/3.20
% 17.60/3.20
% 17.60/3.20
% 17.60/3.20 ------ Proving...
% 17.60/3.20
% 17.60/3.20
% 17.60/3.20 % SZS status Theorem for theBenchmark.p
% 17.60/3.20
% 17.60/3.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.60/3.20
% 17.60/3.21
%------------------------------------------------------------------------------