TSTP Solution File: SWW185+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW185+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 03:24:27 EDT 2024
% Result : Theorem 250.22s 33.31s
% Output : CNFRefutation 250.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 20 unt; 0 def)
% Number of atoms : 71 ( 50 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 25 ~; 20 |; 0 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 72 ( 7 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X3,X5,X4] :
( class_Rings_Ocomm__semiring__0(X4)
=> c_Polynomial_OpCons(X4,X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X4,c_Polynomial_OpCons(X4,X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_offset__poly__single) ).
fof(f75,axiom,
! [X5,X24,X22,X4] :
( class_Rings_Ocomm__semiring__0(X4)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),c_Polynomial_Osmult(X4,X22,X24),c_Polynomial_OpCons(X4,X5,X24))
=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)) = X24 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_offset__poly__eq__0__lemma) ).
fof(f80,axiom,
! [X3,X24,X5,X4] :
( class_Rings_Ocomm__semiring__0(X4)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X4,c_Polynomial_OpCons(X4,X5,X24),X3) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),c_Polynomial_Osmult(X4,X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X4,X24,X3)),c_Polynomial_OpCons(X4,X5,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X4,X24,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_offset__poly__pCons) ).
fof(f1180,axiom,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1181,axiom,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1182,conjecture,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Polynomial_OpCons(t_a,v_a,v_p),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f1183,negated_conjecture,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_a,v_p),
inference(negated_conjecture,[],[f1182]) ).
fof(f1184,axiom,
class_Rings_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0) ).
fof(f1186,plain,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__0(X2)
=> c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X0) ),
inference(rectify,[],[f3]) ).
fof(f1258,plain,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1 ) ),
inference(rectify,[],[f75]) ).
fof(f1263,plain,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0))) ),
inference(rectify,[],[f80]) ).
fof(f2246,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_a,v_p),
inference(flattening,[],[f1183]) ).
fof(f2355,plain,
! [X0,X1,X2] :
( c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X0)
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(ennf_transformation,[],[f1186]) ).
fof(f2434,plain,
! [X0,X1,X2,X3] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f1258]) ).
fof(f2435,plain,
! [X0,X1,X2,X3] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(flattening,[],[f2434]) ).
fof(f2437,plain,
! [X0,X1,X2,X3] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f1263]) ).
fof(f3449,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(ennf_transformation,[],[f1180]) ).
fof(f3788,plain,
! [X2,X0,X1] :
( c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,c_Polynomial_OpCons(X2,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))),X0)
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(cnf_transformation,[],[f2355]) ).
fof(f3889,plain,
! [X2,X3,X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) = X1
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)) != c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X2,X1),c_Polynomial_OpCons(X3,X0,X1))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(cnf_transformation,[],[f2435]) ).
fof(f3895,plain,
! [X2,X3,X0,X1] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(cnf_transformation,[],[f2437]) ).
fof(f5219,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(cnf_transformation,[],[f3449]) ).
fof(f5220,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h),
inference(cnf_transformation,[],[f1181]) ).
fof(f5221,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) != c_Polynomial_OpCons(t_a,v_a,v_p),
inference(cnf_transformation,[],[f2246]) ).
fof(f5222,plain,
class_Rings_Ocomm__semiring__0(t_a),
inference(cnf_transformation,[],[f1184]) ).
cnf(c_51,plain,
( ~ class_Rings_Ocomm__semiring__0(X0)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))),X2) = c_Polynomial_OpCons(X0,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
inference(cnf_transformation,[],[f3788]) ).
cnf(c_142,plain,
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,X2),c_Polynomial_OpCons(X0,X3,X2)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__0(X0)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = X2 ),
inference(cnf_transformation,[],[f3889]) ).
cnf(c_147,plain,
( ~ class_Rings_Ocomm__semiring__0(X0)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_Osmult(X0,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X1)),c_Polynomial_OpCons(X0,X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X2,X1))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,c_Polynomial_OpCons(X0,X3,X2),X1) ),
inference(cnf_transformation,[],[f3895]) ).
cnf(c_1416,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = v_p ),
inference(cnf_transformation,[],[f5219]) ).
cnf(c_1417,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(cnf_transformation,[],[f5220]) ).
cnf(c_1418,negated_conjecture,
c_Polynomial_OpCons(t_a,v_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(cnf_transformation,[],[f5221]) ).
cnf(c_1419,plain,
class_Rings_Ocomm__semiring__0(t_a),
inference(cnf_transformation,[],[f5222]) ).
cnf(c_72962,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X0)),c_Polynomial_OpCons(t_a,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X0))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X2,X1),X0),
inference(superposition,[status(thm)],[c_1419,c_147]) ).
cnf(c_72965,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X1) = c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
inference(superposition,[status(thm)],[c_1419,c_51]) ).
cnf(c_73020,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,X1),X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| ~ class_Rings_Ocomm__semiring__0(t_a)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(superposition,[status(thm)],[c_72962,c_142]) ).
cnf(c_73022,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,X1),X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(global_subsumption_just,[status(thm)],[c_73020,c_1419,c_73020]) ).
cnf(c_73187,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(superposition,[status(thm)],[c_1417,c_73022]) ).
cnf(c_73195,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = v_p,
inference(backward_subsumption_resolution,[status(thm)],[c_1416,c_73187]) ).
cnf(c_73201,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,v_p),X1) = c_Polynomial_OpCons(t_a,X0,v_p),
inference(demodulation,[status(thm)],[c_72965,c_73195]) ).
cnf(c_73203,plain,
c_Polynomial_OpCons(t_a,v_a,v_p) != v_p,
inference(demodulation,[status(thm)],[c_1418,c_73195]) ).
cnf(c_73204,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h) = v_p,
inference(demodulation,[status(thm)],[c_1417,c_73195]) ).
cnf(c_74477,plain,
c_Polynomial_OpCons(t_a,v_a,v_p) = v_p,
inference(demodulation,[status(thm)],[c_73204,c_73201]) ).
cnf(c_74478,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_74477,c_73203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW185+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 22:09:19 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 250.22/33.31 % SZS status Started for theBenchmark.p
% 250.22/33.31 % SZS status Theorem for theBenchmark.p
% 250.22/33.31
% 250.22/33.31 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 250.22/33.31
% 250.22/33.31 ------ iProver source info
% 250.22/33.31
% 250.22/33.31 git: date: 2024-05-02 19:28:25 +0000
% 250.22/33.31 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 250.22/33.31 git: non_committed_changes: false
% 250.22/33.31
% 250.22/33.31 ------ Parsing...
% 250.22/33.31 ------ Clausification by vclausify_rel & Parsing by iProver...
% 250.22/33.31
% 250.22/33.31 ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe_e
% 250.22/33.31
% 250.22/33.31 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 250.22/33.31
% 250.22/33.31 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 250.22/33.31 ------ Proving...
% 250.22/33.31 ------ Problem Properties
% 250.22/33.31
% 250.22/33.31
% 250.22/33.31 clauses 1092
% 250.22/33.31 conjectures 1
% 250.22/33.31 EPR 152
% 250.22/33.31 Horn 955
% 250.22/33.31 unary 240
% 250.22/33.31 binary 409
% 250.22/33.31 lits 2632
% 250.22/33.31 lits eq 615
% 250.22/33.31 fd_pure 0
% 250.22/33.31 fd_pseudo 0
% 250.22/33.31 fd_cond 44
% 250.22/33.31 fd_pseudo_cond 89
% 250.22/33.31 AC symbols 0
% 250.22/33.31
% 250.22/33.31 ------ Input Options Time Limit: Unbounded
% 250.22/33.31
% 250.22/33.31
% 250.22/33.31 ------
% 250.22/33.31 Current options:
% 250.22/33.31 ------
% 250.22/33.31
% 250.22/33.31
% 250.22/33.31
% 250.22/33.31
% 250.22/33.31 ------ Proving...
% 250.22/33.31
% 250.22/33.31
% 250.22/33.31 % SZS status Theorem for theBenchmark.p
% 250.22/33.31
% 250.22/33.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 250.22/33.31
% 250.22/33.31
%------------------------------------------------------------------------------