TSTP Solution File: ALG402-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG402-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 02:04:42 EDT 2024
% Result : Unsatisfiable 17.66s 3.15s
% Output : CNFRefutation 17.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 15 unt; 0 nHn; 12 RR)
% Number of literals : 43 ( 27 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 35 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_132,plain,
( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
| ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_one__neq__zero_0) ).
cnf(c_495,plain,
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__one_0) ).
cnf(c_764,plain,
c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_One__nat__def_0) ).
cnf(c_960,plain,
( ~ class_Ring__and__Field_Osemiring__0(X0)
| ~ class_Power_Opower(X0)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__0__Suc_0) ).
cnf(c_963,plain,
( ~ class_Power_Opower(X0)
| c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__Suc_0) ).
cnf(c_979,negated_conjecture,
c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,c_HOL_Ominus__class_Ominus(v_k____,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(v_k____,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_1076,plain,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one) ).
cnf(c_1078,plain,
class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0) ).
cnf(c_1082,plain,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
cnf(c_1093,plain,
class_Power_Opower(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Power_Opower) ).
cnf(c_1829,plain,
( ~ class_Ring__and__Field_Ozero__neq__one(X0)
| c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
inference(prop_impl_just,[status(thm)],[c_132]) ).
cnf(c_1830,plain,
( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
| ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
inference(renaming,[status(thm)],[c_1829]) ).
cnf(c_1917,plain,
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
inference(prop_impl_just,[status(thm)],[c_495]) ).
cnf(c_2009,plain,
( ~ class_Power_Opower(X0)
| c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
inference(prop_impl_just,[status(thm)],[c_963]) ).
cnf(c_11126,plain,
c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,c_HOL_Ominus__class_Ominus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_979,c_764]) ).
cnf(c_13942,plain,
( X0 != tc_Complex_Ocomplex
| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
inference(resolution_lifted,[status(thm)],[c_1917,c_1082]) ).
cnf(c_13943,plain,
c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_13942]) ).
cnf(c_14451,plain,
( X0 != tc_Complex_Ocomplex
| ~ class_Power_Opower(X0)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
inference(resolution_lifted,[status(thm)],[c_960,c_1078]) ).
cnf(c_14452,plain,
( ~ class_Power_Opower(tc_Complex_Ocomplex)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Suc(X0),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(unflattening,[status(thm)],[c_14451]) ).
cnf(c_14454,plain,
c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Suc(X0),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(global_subsumption_just,[status(thm)],[c_14452,c_1093,c_14452]) ).
cnf(c_16263,plain,
( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
| X0 != tc_Complex_Ocomplex ),
inference(resolution_lifted,[status(thm)],[c_1830,c_1076]) ).
cnf(c_16264,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_16263]) ).
cnf(c_16389,plain,
( X0 != tc_Complex_Ocomplex
| c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
inference(resolution_lifted,[status(thm)],[c_2009,c_1093]) ).
cnf(c_16390,plain,
c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(X0,c_Suc(X1),tc_Complex_Ocomplex),
inference(unflattening,[status(thm)],[c_16389]) ).
cnf(c_24923,plain,
c_Power_Opower__class_Opower(X0,c_Suc(c_HOL_Ominus__class_Ominus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(X1,c_Suc(c_HOL_Ominus__class_Ominus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_11126,c_16390]) ).
cnf(c_51812,plain,
c_Power_Opower__class_Opower(X0,c_Suc(c_HOL_Ominus__class_Ominus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_24923,c_13943]) ).
cnf(c_52341,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_14454,c_51812]) ).
cnf(c_52342,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_52341,c_16264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG402-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n024.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 22:46:05 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 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
% 17.66/3.15 % SZS status Started for theBenchmark.p
% 17.66/3.15 % SZS status Unsatisfiable for theBenchmark.p
% 17.66/3.15
% 17.66/3.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.66/3.15
% 17.66/3.15 ------ iProver source info
% 17.66/3.15
% 17.66/3.15 git: date: 2024-05-02 19:28:25 +0000
% 17.66/3.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.66/3.15 git: non_committed_changes: false
% 17.66/3.15
% 17.66/3.15 ------ Parsing...successful
% 17.66/3.15
% 17.66/3.15
% 17.66/3.15
% 17.66/3.15 ------ Preprocessing... sup_sim: 28 sf_s rm: 122 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 83 sf_s rm: 55 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 55 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 55 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 55 0s sf_e pe_s pe_e
% 17.66/3.15
% 17.66/3.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.66/3.15
% 17.66/3.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.66/3.15 ------ Proving...
% 17.66/3.15 ------ Problem Properties
% 17.66/3.15
% 17.66/3.15
% 17.66/3.15 clauses 580
% 17.66/3.15 conjectures 0
% 17.66/3.15 EPR 23
% 17.66/3.15 Horn 467
% 17.66/3.15 unary 178
% 17.66/3.15 binary 203
% 17.66/3.15 lits 1219
% 17.66/3.15 lits eq 379
% 17.66/3.15 fd_pure 0
% 17.66/3.15 fd_pseudo 0
% 17.66/3.15 fd_cond 57
% 17.66/3.15 fd_pseudo_cond 37
% 17.66/3.15 AC symbols 0
% 17.66/3.15
% 17.66/3.15 ------ Schedule dynamic 5 is on
% 17.66/3.15
% 17.66/3.15 ------ no conjectures: strip conj schedule
% 17.66/3.15
% 17.66/3.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 17.66/3.15
% 17.66/3.15
% 17.66/3.15 ------
% 17.66/3.15 Current options:
% 17.66/3.15 ------
% 17.66/3.15
% 17.66/3.15
% 17.66/3.15
% 17.66/3.15
% 17.66/3.15 ------ Proving...
% 17.66/3.15
% 17.66/3.15
% 17.66/3.15 % SZS status Unsatisfiable for theBenchmark.p
% 17.66/3.15
% 17.66/3.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.66/3.16
% 17.66/3.16
%------------------------------------------------------------------------------