%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV629-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:23:55 PM UTC 2026
% Result : Unsatisfiable 4.10s 1.28s
% Output : CNFRefutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 18 unt; 3 def)
% Number of atoms : 38 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f443,axiom,
! [X0,X1] :
( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1
| ~ class_OrderedGroup_Omonoid__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__one__right_0) ).
fof(f479,axiom,
! [X0] : c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_root__unity_0) ).
fof(f480,plain,
! [X0] : c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X0,tc_Complex_Ocomplex),
inference(reorient_equations,[],[f479]) ).
fof(f504,negated_conjecture,
c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f505,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),
inference(reorient_equations,[],[f504]) ).
fof(f536,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
tcf(c_722,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 )
| ~ class_OrderedGroup_Omonoid__mult(X0) ),
inference(cnf_transformation,[],[f443]) ).
tcf(c_744,plain,
! [X0: $i] : c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f480]) ).
tcf(c_762,negated_conjecture,
c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f505]) ).
tcf(c_793,plain,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f536]) ).
tcf(c_1165,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 )
| ~ class_OrderedGroup_Omonoid__mult(X0) ),
inference(prop_impl_just,[status(thm)],[c_722]) ).
tcf(c_4123,plain,
! [X0: $i,X1: $i] :
( ( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 )
| ( X0 != tc_Complex_Ocomplex ) ),
inference(resolution_lifted,[status(thm)],[c_1165,c_793]) ).
tcf(c_4124,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = X0,
inference(unflattening,[status(thm)],[c_4123]) ).
tcf(c_8458,definition,
iPr_def_10 = c_HOL_Oone__class_Oone(tc_nat),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_8459,definition,
iPr_def_11 = c_FFT__Mirabelle_Oroot(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_8460,definition,
iPr_def_12 = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_8461,negated_conjecture,
iPr_def_11 != iPr_def_12,
inference(demodulation,[status(thm)],[c_762,c_8460,c_8458,c_8459]) ).
tcf(c_11212,plain,
! [X0: $i] : c_Power_Opower__class_Opower(X0,iPr_def_10,tc_Complex_Ocomplex) = X0,
inference(light_normalisation,[status(thm)],[c_4124,c_8458]) ).
tcf(c_11243,plain,
! [X0: $i] : c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X0,tc_Complex_Ocomplex) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_744,c_8460]) ).
tcf(c_11247,plain,
c_FFT__Mirabelle_Oroot(iPr_def_10) = iPr_def_12,
inference(superposition,[status(thm)],[c_11243,c_11212]) ).
tcf(c_11248,plain,
iPr_def_11 = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_11247,c_8459]) ).
tcf(c_11249,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11248,c_8461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV629-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.36 % Computer : n013.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Thu Sep 24 20:45:06 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 4.10/1.28 % SZS status Started for theBenchmark.p
% 4.10/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.28
% 4.10/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.10/1.28
% 4.10/1.28 % ------ iProver source info
% 4.10/1.28
% 4.10/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.10/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.10/1.28 % git: non_committed_changes: false
% 4.10/1.28
% 4.10/1.28 % ------ Parsing...% successful
% 4.10/1.28
% 4.10/1.28
% 4.10/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.10/1.28
% 4.10/1.28 % ------ Preprocessing... sup_sim: 3 sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 25 sf_s rm: 27 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 27 0s sf_e pe_s pe_e %
% 4.10/1.28
% 4.10/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.10/1.28
% 4.10/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.10/1.28 % ------ Proving...
% 4.10/1.28 % ------ Problem Properties
% 4.10/1.28
% 4.10/1.28 %
% 4.10/1.28 % clauses 207
% 4.10/1.28 % conjectures 1
% 4.10/1.28 % EPR 6
% 4.10/1.28 % Horn 181
% 4.10/1.28 % unary 111
% 4.10/1.28 % binary 67
% 4.10/1.28 % lits 338
% 4.10/1.28 % lits eq 215
% 4.10/1.28 % fd_pure 0
% 4.10/1.28 % fd_pseudo 0
% 4.10/1.28 % fd_cond 34
% 4.10/1.28 % fd_pseudo_cond 9
% 4.10/1.28 % AC symbols 0
% 4.10/1.28
% 4.10/1.28 % ------ Schedule dynamic 5 is on
% 4.10/1.28
% 4.10/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.10/1.28
% 4.10/1.28
% 4.10/1.28 % ------
% 4.10/1.28 % Current options:
% 4.10/1.28 % ------
% 4.10/1.28
% 4.10/1.28
% 4.10/1.28 %
% 4.10/1.28
% 4.10/1.28 % ------ Proving...
% 4.10/1.28 %
% 4.10/1.28
% 4.10/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.28
% 4.10/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.10/1.28
% 4.10/1.28
%------------------------------------------------------------------------------