TSTP Solution File: SWV632-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV632-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 : Thu Aug 31 22:42:07 EDT 2023
% Result : Unsatisfiable 65.84s 9.78s
% Output : CNFRefutation 65.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 17 unt; 0 nHn; 8 RR)
% Number of literals : 19 ( 15 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_870,plain,
c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_One__nat__def_0) ).
cnf(c_1175,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X2,tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_root__cancel_0) ).
cnf(c_1307,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pos2_0) ).
cnf(c_1309,plain,
c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comp__arith_I115_J_0) ).
cnf(c_1355,plain,
c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__2_0) ).
cnf(c_1374,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__assoc_0) ).
cnf(c_1394,plain,
c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__commute_0) ).
cnf(c_1400,negated_conjecture,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_m),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_3770,plain,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(v_m,v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Oplus__class_Oplus(v_j,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_m),c_HOL_Otimes__class_Otimes(v_j,v_i,tc_nat),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_1400,c_1355,c_1394]) ).
cnf(c_3802,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat),
inference(demodulation,[status(thm)],[c_1307,c_870,c_1309]) ).
cnf(c_3803,plain,
c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = c_Suc(c_HOL_Oone__class_Oone(tc_nat)),
inference(demodulation,[status(thm)],[c_1309,c_870]) ).
cnf(c_4216,plain,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),X0,tc_nat)),c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),X1,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_3802,c_1175]) ).
cnf(c_6593,plain,
c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),X0,tc_nat) = c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),
inference(demodulation,[status(thm)],[c_1355,c_3803]) ).
cnf(c_6899,plain,
c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),X1,tc_nat),
inference(superposition,[status(thm)],[c_6593,c_1374]) ).
cnf(c_7333,plain,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat)),c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),X1,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X1,tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_6593,c_4216]) ).
cnf(c_12091,plain,
c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X0,X0,tc_nat),tc_nat),
inference(superposition,[status(thm)],[c_6899,c_1394]) ).
cnf(c_54085,plain,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(X0,X0,tc_nat)),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X2,tc_nat),tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_Complex_Ocomplex),
inference(superposition,[status(thm)],[c_12091,c_7333]) ).
cnf(c_54531,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_3770,c_54085]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV632-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n020.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 : Tue Aug 29 06:11:43 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 65.84/9.78 % SZS status Started for theBenchmark.p
% 65.84/9.78 % SZS status Unsatisfiable for theBenchmark.p
% 65.84/9.78
% 65.84/9.78 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 65.84/9.78
% 65.84/9.78 ------ iProver source info
% 65.84/9.78
% 65.84/9.78 git: date: 2023-05-31 18:12:56 +0000
% 65.84/9.78 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 65.84/9.78 git: non_committed_changes: false
% 65.84/9.78 git: last_make_outside_of_git: false
% 65.84/9.78
% 65.84/9.78 ------ Parsing...successful
% 65.84/9.78
% 65.84/9.78
% 65.84/9.78
% 65.84/9.78 ------ Preprocessing... sf_s rm: 212 0s sf_e sf_s rm: 1 0s sf_e
% 65.84/9.78
% 65.84/9.78 ------ Preprocessing...
% 65.84/9.78
% 65.84/9.78 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 65.84/9.78 ------ Proving...
% 65.84/9.78 ------ Problem Properties
% 65.84/9.78
% 65.84/9.78
% 65.84/9.78 clauses 1095
% 65.84/9.78 conjectures 1
% 65.84/9.78 EPR 171
% 65.84/9.78 Horn 951
% 65.84/9.78 unary 239
% 65.84/9.78 binary 342
% 65.84/9.78 lits 2762
% 65.84/9.78 lits eq 743
% 65.84/9.78 fd_pure 0
% 65.84/9.78 fd_pseudo 0
% 65.84/9.78 fd_cond 32
% 65.84/9.78 fd_pseudo_cond 122
% 65.84/9.78 AC symbols 0
% 65.84/9.78
% 65.84/9.78 ------ Input Options Time Limit: Unbounded
% 65.84/9.78
% 65.84/9.78
% 65.84/9.78 ------
% 65.84/9.78 Current options:
% 65.84/9.78 ------
% 65.84/9.78
% 65.84/9.78
% 65.84/9.78
% 65.84/9.78
% 65.84/9.78 ------ Proving...
% 65.84/9.78
% 65.84/9.78
% 65.84/9.78 % SZS status Unsatisfiable for theBenchmark.p
% 65.84/9.78
% 65.84/9.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 65.84/9.78
% 65.84/9.78
%------------------------------------------------------------------------------