TSTP Solution File: SWW272+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW272+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 : Mon Jun 24 18:16:47 EDT 2024
% Result : Theorem 20.96s 3.71s
% Output : CNFRefutation 20.96s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pne) ).
fof(f62,axiom,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_s) ).
fof(f871,axiom,
! [X18,X4] :
( class_Divides_Osemiring__div(X4)
=> c_Divides_Odiv__class_Omod(X4,X18,c_Groups_Ozero__class_Ozero(X4)) = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mod__by__0) ).
fof(f875,axiom,
! [X27,X18,X4] :
( class_Divides_Osemiring__div(X4)
=> c_Groups_Ozero__class_Ozero(X4) = c_Divides_Odiv__class_Omod(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X18),X27),X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mod__mult__self2__is__0) ).
fof(f1139,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield) ).
fof(f1176,axiom,
! [X90] :
( class_Fields_Ofield(X90)
=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(X90)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Divides_Osemiring__div) ).
fof(f1206,conjecture,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_s____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1207,negated_conjecture,
~ ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_s____ ),
inference(negated_conjecture,[],[f1206]) ).
fof(f2057,plain,
! [X0,X1] :
( class_Divides_Osemiring__div(X1)
=> c_Divides_Odiv__class_Omod(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0 ),
inference(rectify,[],[f871]) ).
fof(f2061,plain,
! [X0,X1,X2] :
( class_Divides_Osemiring__div(X2)
=> c_Groups_Ozero__class_Ozero(X2) = c_Divides_Odiv__class_Omod(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0),X0) ),
inference(rectify,[],[f875]) ).
fof(f2219,plain,
! [X0] :
( class_Fields_Ofield(X0)
=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
inference(rectify,[],[f1176]) ).
fof(f2249,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____,
inference(flattening,[],[f1207]) ).
fof(f3270,plain,
! [X0,X1] :
( c_Divides_Odiv__class_Omod(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0
| ~ class_Divides_Osemiring__div(X1) ),
inference(ennf_transformation,[],[f2057]) ).
fof(f3274,plain,
! [X0,X1,X2] :
( c_Groups_Ozero__class_Ozero(X2) = c_Divides_Odiv__class_Omod(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0),X0)
| ~ class_Divides_Osemiring__div(X2) ),
inference(ennf_transformation,[],[f2061]) ).
fof(f3423,plain,
! [X0] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Fields_Ofield(X0) ),
inference(ennf_transformation,[],[f2219]) ).
fof(f3791,plain,
v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[],[f2]) ).
fof(f3879,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
inference(cnf_transformation,[],[f62]) ).
fof(f4973,plain,
! [X0,X1] :
( c_Divides_Odiv__class_Omod(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0
| ~ class_Divides_Osemiring__div(X1) ),
inference(cnf_transformation,[],[f3270]) ).
fof(f4977,plain,
! [X2,X0,X1] :
( c_Groups_Ozero__class_Ozero(X2) = c_Divides_Odiv__class_Omod(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0),X0)
| ~ class_Divides_Osemiring__div(X2) ),
inference(cnf_transformation,[],[f3274]) ).
fof(f5263,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1139]) ).
fof(f5300,plain,
! [X0] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Fields_Ofield(X0) ),
inference(cnf_transformation,[],[f3423]) ).
fof(f5330,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____,
inference(cnf_transformation,[],[f2249]) ).
cnf(c_50,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____,
inference(cnf_transformation,[],[f3791]) ).
cnf(c_129,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____) = v_pa____,
inference(cnf_transformation,[],[f3879]) ).
cnf(c_1165,plain,
( ~ class_Divides_Osemiring__div(X0)
| c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
inference(cnf_transformation,[],[f4973]) ).
cnf(c_1169,plain,
( ~ class_Divides_Osemiring__div(X0)
| c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = c_Groups_Ozero__class_Ozero(X0) ),
inference(cnf_transformation,[],[f4977]) ).
cnf(c_1455,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5263]) ).
cnf(c_1492,plain,
( ~ class_Fields_Ofield(X0)
| class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
inference(cnf_transformation,[],[f5300]) ).
cnf(c_1522,negated_conjecture,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____,
inference(cnf_transformation,[],[f5330]) ).
cnf(c_2545,plain,
( ~ class_Fields_Ofield(X0)
| class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
inference(prop_impl_just,[status(thm)],[c_1492]) ).
cnf(c_3231,plain,
( ~ class_Divides_Osemiring__div(X0)
| c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
inference(prop_impl_just,[status(thm)],[c_1165]) ).
cnf(c_3239,plain,
( ~ class_Divides_Osemiring__div(X0)
| c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = c_Groups_Ozero__class_Ozero(X0) ),
inference(prop_impl_just,[status(thm)],[c_1169]) ).
cnf(c_11463,plain,
v_pa____ != v_s____,
inference(light_normalisation,[status(thm)],[c_50,c_1522]) ).
cnf(c_15663,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____) = v_pa____,
inference(light_normalisation,[status(thm)],[c_129,c_1522]) ).
cnf(c_22982,plain,
( X0 != tc_Complex_Ocomplex
| class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0)) ),
inference(resolution_lifted,[status(thm)],[c_2545,c_1455]) ).
cnf(c_22983,plain,
class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_22982]) ).
cnf(c_24361,plain,
( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0
| c_Divides_Odiv__class_Omod(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X2),X2) = c_Groups_Ozero__class_Ozero(X0) ),
inference(resolution_lifted,[status(thm)],[c_3239,c_22983]) ).
cnf(c_24362,plain,
c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),X1),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unflattening,[status(thm)],[c_24361]) ).
cnf(c_24384,plain,
( tc_Polynomial_Opoly(tc_Complex_Ocomplex) != X0
| c_Divides_Odiv__class_Omod(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
inference(resolution_lifted,[status(thm)],[c_3231,c_22983]) ).
cnf(c_24385,plain,
c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = X0,
inference(unflattening,[status(thm)],[c_24384]) ).
cnf(c_36920,plain,
c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X0,v_s____) = X0,
inference(light_normalisation,[status(thm)],[c_24385,c_1522]) ).
cnf(c_37718,plain,
c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),X1),X1) = v_s____,
inference(light_normalisation,[status(thm)],[c_24362,c_1522]) ).
cnf(c_72371,plain,
tc_Polynomial_Opoly(tc_Complex_Ocomplex) = sP0_iProver_def,
definition ).
cnf(c_72372,plain,
c_Groups_Ozero__class_Ozero(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_72373,negated_conjecture,
sP1_iProver_def = v_s____,
inference(demodulation,[status(thm)],[c_1522,c_72371,c_72372]) ).
cnf(c_90761,plain,
v_pa____ != sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_11463,c_72373]) ).
cnf(c_90765,plain,
c_Divides_Odiv__class_Omod(sP0_iProver_def,X0,sP1_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_36920,c_72371,c_72373]) ).
cnf(c_90777,plain,
c_Divides_Odiv__class_Omod(sP0_iProver_def,hAPP(hAPP(c_Groups_Otimes__class_Otimes(sP0_iProver_def),X0),X1),X1) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_37718,c_72371,c_72373]) ).
cnf(c_90780,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(sP0_iProver_def),X0),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_90777,c_90765]) ).
cnf(c_90821,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(sP0_iProver_def),hAPP(hAPP(c_Power_Opower__class_Opower(sP0_iProver_def),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),sP1_iProver_def))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),sP1_iProver_def) = v_pa____,
inference(light_normalisation,[status(thm)],[c_15663,c_72371,c_72373]) ).
cnf(c_90822,plain,
v_pa____ = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_90821,c_90780]) ).
cnf(c_90823,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_90822,c_90761]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW272+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 09:28:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.96/3.71 % SZS status Started for theBenchmark.p
% 20.96/3.71 % SZS status Theorem for theBenchmark.p
% 20.96/3.71
% 20.96/3.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.96/3.71
% 20.96/3.71 ------ iProver source info
% 20.96/3.71
% 20.96/3.71 git: date: 2024-06-12 09:56:46 +0000
% 20.96/3.71 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 20.96/3.71 git: non_committed_changes: false
% 20.96/3.71
% 20.96/3.71 ------ Parsing...
% 20.96/3.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 20.96/3.71
% 20.96/3.71 ------ Preprocessing... sup_sim: 50 sf_s rm: 6 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 48 sf_s rm: 14 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 14 0s sf_e pe_s pe_e
% 20.96/3.71
% 20.96/3.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.96/3.71
% 20.96/3.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 20.96/3.71 ------ Proving...
% 20.96/3.71 ------ Problem Properties
% 20.96/3.71
% 20.96/3.71
% 20.96/3.71 clauses 1175
% 20.96/3.71 conjectures 1
% 20.96/3.71 EPR 176
% 20.96/3.71 Horn 1033
% 20.96/3.71 unary 322
% 20.96/3.71 binary 413
% 20.96/3.71 lits 2697
% 20.96/3.71 lits eq 739
% 20.96/3.71 fd_pure 0
% 20.96/3.71 fd_pseudo 0
% 20.96/3.71 fd_cond 66
% 20.96/3.71 fd_pseudo_cond 101
% 20.96/3.71 AC symbols 0
% 20.96/3.71
% 20.96/3.71 ------ Schedule dynamic 5 is on
% 20.96/3.71
% 20.96/3.71 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.96/3.71
% 20.96/3.71
% 20.96/3.71 ------
% 20.96/3.71 Current options:
% 20.96/3.71 ------
% 20.96/3.71
% 20.96/3.71
% 20.96/3.71
% 20.96/3.71
% 20.96/3.71 ------ Proving...
% 20.96/3.71
% 20.96/3.71
% 20.96/3.71 % SZS status Theorem for theBenchmark.p
% 20.96/3.71
% 20.96/3.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.96/3.72
% 20.96/3.72
%------------------------------------------------------------------------------